Does this figure have symmetry?

Does This Figure Have Symmetry?

Answers

Answer 1

Answer:

Yes, because if you fold it in half, both halves match up.

Step-by-step explanation:

You can fold the figure in half along the x-axis to get a "D" shape


Related Questions


Find the perimeter of the polygon with the vertices U-2, 4), (3, 4), and IP(3,-4). Round your answer to the nearest
hundredth. y’all please help

Answers

Perimeter of the polygon with given vertices is 22.43

Given:

Point 1 : (-2,4) ,

Point 2 : (3,4),

Point 3 :(3,-4)  

Perimeter of a polygon  = Sum of all the sides length of polygon  

1. Length of Point 1 and point 2 = √[(x₂-x₁)²+(y₂-y₁)² ]                

= √[(3+2)²+(4-4)² ]                  

= 5  

2.Length of Point 1 and point 3 = √[(x₂-x₁)²+(y₂-y₁)² ]

           =  √[(3+2)²+(-4-4)² ]                    

= 9.43  

3. Length of Point 2 and point 3  =√[(x₂-x₁)²+(y₂-y₁)² ]            

= √[ (3-3)²+(-4-4)² ]                      

= 8

So, Perimeter of the polygon = 5+9.43+8

Perimeter of the polygon  = 22.43

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If you are tossing a six-sided die, what is the probability of getting either a 1 or a 2 on your first toss and a 1 or a 2 on your second toss?.

Answers

A six sided dice is tossed twice. The probability of getting either a 1 or a 2 on your first toss and a 1 or a 2 on your second toss is 1/9 .

A dice has six faces or sides and it is throws twice . When a dice is toss first time,

Total possible outcomes on toss = 6 ={ 1,2,3,4,5,6}

In our first toss we want to get 1 or 2

So, favourable outcomes of getting 1 or 2 = 2

Probability of getting 1 or 2 on first toss= favourable cases /total outcomes = 2/6 = 1/3

For second toss, we want to get a1 or a2 again.

Total possible outcomes = 6

Probability of getting a1 or a2 on second toss= 2/6= 1/3

Now, Multiply these probsbilites togethers and chance of getting 1 or 2 on first and second which is 1/3× 1/3 = 1/9

Hence , probability of getting either a 1 or a 2 on your first toss and a 1 or a 2 on your second toss is 1/9.

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HELP PLEASEEE!!!!! i dont know what to do

Answers

Answer:

1. 51°

2. 55°

3. 5x + 10

Step-by-step explanation:

1. We know ∠B + 39° = 90°, so ∠B = 90 - 39 = 51

2. We can use an algebraic equation to solve this problem.

    2x + 70 = 180

    2x + 70 (-70) = 180 (-70)

    2x (/2) = 110 (/2)

    x = 55

3. ∠ABD = (3x + 10) + (2x) = 5x + 10

6. Erin leaves home at 11am. She cycles at a speed of 16 miles per hour for 90 minutes. She
stops for half an hour. Erin then cycles home and arrives at 3pm.
(a) Draw a distance-time graph to show Erin's journey.
(b) What is Erin's average speed on the return part of her cycle?

Answers

The average speed of Erin on the return part is 12 miles/hour

Given, Erin leaves home at 11am. She cycles at a speed of 16 miles per hour for 90 minutes. She stops for half an hour. Erin then cycles home and arrives at 3pm.

We have to find the average speed on the return part of her cycle.

Now, using distance formula, we get

Distance = Speed × Time

Distance = 16 miles per hour × 90 × 1/60 hours

Distance = 24 miles

As, average speed = Total distance/Total time

Average speed = 24 miles / 2 hours

Average speed = 12 miles per hour

Hence, the average speed of Erin on the return part is 12 miles/hour

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The scale of a map is 1:20 000. What area does 8 cm² represent?

Answers

The 8 cm² area on a map  represent the actual area = 3200000000 cm² .

Scale factor of a map

S = 1/20000

The scale factor for area is found by squaring the scale factor for length. Thus the scale factor for area is S^2

When applied to the area we consider  S^2 as a scale factor.

The area on the map = 8 cm²

So The actual area = 8 × (20000)^2 = 8× 20000×20000

=3200000000 cm²  = 320000 m² =32 hectare.

So the 8 cm² area on a map  represent the actual area = 3200000000 cm² .

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Please help pleaseee

Answers

Measure of angle M is 76°, angle N is 76° and side LN is 18 in.

According to figure,

LM = 18 in

∠NLM = 28°

In triangle LMN

LN = LM

     = 18 in

Therefore, ∠LMN = ∠LNM = x     (LN = LM)

∠LMN + ∠NLM + ∠LNM = 180°

x + 28 + x = 180

   2x + 28 = 180

           2x = 180 - 28

           2x = 152

             x = 152/2

             x = 76

Hence, ∠M = ∠N = 76°.

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A student used the equation below to create a table.
y = 2.50x
The student used 15 as one of the values for the x. Which ordered pair could be taken from the table?
O a 17.50, 15)
Ob (15, 17.50)
Oc 37.50, 15)
Od (15,37.50)

Answers

The resulting ordered pair is (15, 37.50) when the value of x as 15.

Ordered pair

Ordered pair refers a set of numbers that tells us where to find a point on a coordinate grid. In the grid, the first number represents the value on the x-axis and the second number represents the value on the y-axis.

Given,

A student used the equation below to create a table.

y = 2.50x

The student used 15 as one of the values for the x.

Here we need to find the resulting ordered pair.

Through the given question we have identified that the given function is,

y = 2.50x.

Here x represents the number of students.

Now, we have to calculate the y value for 15 number of students,

So, here we have to apply the value x as 15, then we get,

y = 2.50 (15)

Now, we have to perform the multiplication on it,

y = 37.50

Therefore, the resulting ordered pair is (15, 37.50)

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f(x)=x² + 6x + 2; Find f(-6)

Answers

Answer: 2

Step-by-step explanation:

if you plug in -6 into x, we get

36 - 36 + 2

the 36s will cancel each other out, leaving us with only 2 as our final answer.

Answer: -70

Step-by-step explanation:

-[tex]6^{2}[/tex] + 6(-6)+2

= -36 - 36 + 2

= - 70

A telecommunications company will be laying new fiber optic cables underground. One cable will be perpendicular to the road shown, passing through the point ( 7, 2 . At what point will the cable pass through the road?

Answers

The point at which this cable would pass through the road shown is at the y-intercept of (0, -17/2).

How to determine an equation and the point on this perpendicular line?

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

By critically observing the road shown in the graph above, the points on the line include the following:

Points (x, y) = (0, -2)

Points (x, y) = (-3, 0)

Substituting the given points into the formula, we have;

Slope, m = (0 + 2)/(-3 - 0)

Slope, m = 2/-3

Slope, m = -2/3.

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

-2/3 × m₂ = -1

-2m₂ = -3

m₂ = 3/2

At point (7, 2), a linear equation for the line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

m represents the slope.x and y represent the points.c represents the y-intercept.

Substituting the given points into the formula, we have;

y - 2 = 3/2(x - 7)

y - 2 = 3x/2 - 21/2

y = 3x/2 - 21/2 + 2

y = 3x/2 - 17/2

At the y-intercept of (0, -17/2), the cable pass through the road.

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There is a bag filled with 3 blue and 4 red
marbles.
A marble is taken at random from the bag,
the colour is noted and then it is not
replaced.
Another marble is taken at random.
What is the probability of getting at least 1
red?

Answers

The probability of getting at least 1 red marbles is 3/7.

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Probability of getting at least one red = 1 − Probability of getting red marbles

Total number of marbles = 7

Probability of getting red marbles = 4/7

Probability of getting at least one red = 1 - Probability of getting red marbles

= (7-4)/7

= 3/7

Hence, The probability of getting at least 1 red marbles is 3/7.

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Challenge   and each go to a hardware tore to buy wire. The table how the cot y in dollar for of the wire they need. Need of the wire. Need of the wire. How much will each of them pend for​ wire?

Answers

This is the required final answer  Emily spends $300y/x  and Andy spends $432y/x for wire.

The answer provided below has been developed in a clear step-by-step manner.

1 foot =12 inches

1 yard=36 inches

Emily needs (25×12)=300 inches wire

and Andy needs (12×36)=432inches wire

As the cost for x inches wire is $y

cost for a 1-inch wire is $x/y

So, the cost for 300 inches of wire is $300y/x

cost for 432 inches of wire is $432y/x

so, Emily spends $300y/x

and Andy spends $432y/x for wire.

More than 20 different currencies go by the name dollar. The Australian dollar, Brunei dollar, Canadian dollar, Hong Kong dollar, Hogan dollar, Jamaican dollar, Liberian dollar, Namibian dollar, New Taiwan dollar, New Zealand dollar, Singapore dollar, United States dollar, Trinidad and Tobago dollar, and a number of others are among them. Like many nations that use the peso as their currency, the majority of those currencies are denoted by the dollar sign $.

The word "dollar" is a translation of the German word "thaler," which means "person or thing from the valley" in English. America's monetary unit is called after the "thaler," the name given to the first silver mine-produced coins, which were initially coined in Joachimsthal, Bohemia, in 1519.

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19) If each side of
an equilateral
triangle is 4x+6 long,
what is the
perimeter of the
triangle in terms of
x?

Answers

you can refer to the explanation I wrote for you on paper since it is much easier... look at the pic uploaded

Rewrite the following equation in slope-intercept form.

8x + 19y = 3

Answers

Answer:y=8x-5

Step-by-step explanation:

you put the problem into slope intercept form y minus y one equals the slope the parentheses x minus x one then use the distributor property so then it’s y=

The graph of the function, f(x) = x2 - 5x - 7 opens
and has a
value.

Answers

The parabola has a positive leading coefficient, which means that it opens upwards.

The graph opens up or down?

We want to find the leading coefficient and see how the parabola opens.

A general quadratic equation is written as:

y = A*X^2 +b*X+ c

Where a is the leading coefficient.

If a is positive, then the parabola opens upwards, and if a is negative, the parabola opens downwards.

In this case, the equation is:

y = x^2 - 5x - 7

The leading coefficient is a = 1, it is positive, so the parabola opens upwards.

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find the value of x that makes 22=x/(-13)

Answers

Answer:

x=−286

Step-by-step explanation:

22=(x)/(-13) just follow the order

a manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.1 years, and standard deviation of 0.5 years. the 10% of items with the shortest lifespan will last less than how many years? give your answer to one decimal place.

Answers

The shortest lifespan will last less than 2.5 years.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

First, we must utilize the conventional normal table to determine the value for z if 10% of the region (probability) to its left will be present. We can observe that about z = -1.282.

Now, we have to find the value of x, that corresponds to the value of z.

Since,

(x - μ) / σ = z

(x - 3.1) / 0.5 = -1.282

                 x = 2.459

Hence, the shortest lifespan will last less than 2.5 years.

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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amount of gold in each necklace is 24 grams. The jeweler made a total of 12 bracelets and necklaces using 155 grams of gold. Determine the number of bracelets made and the number of necklaces made.

Answers

Solve using preferred method for solving system of equations; he makes 7 bracelets and 5 necklaces

What is 1/3 divided by 4/5?

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Step 1: Set up the problem

There are two ways to set up this problem.[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex][tex]\frac{\frac{1}{3} }{\frac{4}{5} }[/tex]

Step 2: Solve

To solve the first set up you can use the keep, change, flip methodKCF: keep the first term, change from division to multiplication, flip the second term[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex][tex]\frac{1}{3}[/tex] × [tex]\frac{5}{4}[/tex] = [tex]\frac{5}{12}[/tex]To solve the second set up you multiply by the denominator's reciprocal[tex]\frac{\frac{1}{3} }{\frac{4}{5} }[/tex][tex]\frac{1}{3}[/tex] × [tex]\frac{5}{4}[/tex] = [tex]\frac{5}{12}[/tex]

ASAP! exponent rules

Answers

Answer:

C: 9

Step-by-step explanation:

3^4/3^2

3*3*3*3/3*3 cancel out 2 threes from the bottom and top.

3*3=9

A fruit seller bought oranges at rs 48 per dozen. At what price should he sell 30 oranges so as make 10%profit ​

Answers

Answer:

132 rs

Step-by-step explanation:

Cost of one orange = 48 : 12 = 4 rs

cost of 30 orange = 4 * 30 = 120 rs


10 : 100 = x : 120


x = (120 * 10)/100

x = 12 rs


final price = 120 + 12 = 132 rs

f(x) = 2x; translate up 5 units, reflect in x-axis.

Answers

After f(x) = 2x translated up 5 units, then it reflect in x-axis is g(x) = f(2x)+5.

What does a graphing translation mean?

A graph can be vertically translated by moving the base graph up or down in the y-axis direction. Each point on a graph is moved k units vertically to translate the graph by that many units.

The rules for transforming a function f(x) into g(x):

g(x) = a·f(b(x-c)) + d

a = vertical dilation (stretch); reflects across x-axis if negativeb = horizontal dilation (stretch); reflects across y-axis if negativec = horizontal translation (shift); shift right if c is positive, left if c is negatived = vertical translation; up if d is positive, down if d is negative

Hence, After f(x) = 2x translated up 5 units, then it reflect in x-axis is g(x) = f(2x) + 5.

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Jessie uses 20 liters of gasoline to travel 200 kilometers, how many liters of gasoline will he use on a trip of 700 kilometers?.

Answers

Trip of 700 km required 70 liter  gasoline

For go 200 km Distance total gasoline required = 20 liter

For go 1 km Distance total gasoline required = 20÷200

                                                                          =  0.1 liter

Total trip distance =700 km

Total gasoline required for  going 700 km = Total distance×Gasoline required for 1 km

 Total gasoline required for  going 700 km  = 700×0.01                                                          

                                                                         = 70 liters

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70 liters of gasoline will be used on a trip of 700 kilometers.

Given that,

200 kilometer is covered by 20 liters of gasoline.

For go 1 km Distance total gasoline required = 20÷200

                                                                          =  0.1 liter

Now,

Let x be the liters of gasoline required for a 700-km trip.

            ⇒ 20/200 = x/700

            ⇒ (200) (x) = (20) (700)

            ⇒ 200x = 14,000

            ⇒ 200x/200 = 14,000/200

              or,  x = 70

Therefore, the answer is :

70 liters of gasoline will be needed for a 700 kilometer of trip.

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In one day, the bakery made 719 bagels. The bagels were divided into 9 equal shipments. A few bagels
were left over and given to the baker. How many bagels did the baker get?

Answers

in order to solve this problem, we need to figure out the number of equal bagels go into the 9 crates.
719 bagels / 9 crates = 79 bagels per crate.
now that we know that there are 79 bagels per crate, we can multiply by the number of crates to see how many bagels were shipped out in total
9 crates * 79 bagels per crate = 711 bagels
now, we subtract how many bagels were made by how many were shipped to see how many are left.
719-711 = 8 bagels. this value makes sense because there is not enough bagels left to add an equal amount to each crate.
hope this helps!

Answer:

8 bagels

Step-by-step explanation:

This is a remainder division problem. We need to divide 719 by 9 and find the remainder.

First off, 9 is bigger than 7, so we need to move to the next digit. How many times does 9 go into 71? 9 times 7 is 63! That's the closest smaller number we can get, so I will write a 7 in the long division problem above the 1. I will subtract 63 from 71 to get 8.

      7

9 | 719

   -63

       8

Now, the 9 can be brought down, making our 8 into an 89. How many times does 9 go into 89? 9 times 9 is 81! That's the closest we can get! I will write a 9 by the 7 above the 9 in 719, and write 81 below the 89. Subtracting these leaves us with a remainder of 8.

      79

9 | 719

  -63 ↓

      89

      -81

         8

This means that the bagels were sent in 9 equal shipments of 79 bagels each, and the baker was left with 8 bagels!

Determine which statements are the converse, inverse, and contrapositive of the following statement.
If it is after midnight, Anissa is sleeping.
All rights reser
If Anissa is sleeping, it is not after midnight.
If Anissa is sleeping, it is after midnight.
If it is not after midnight, Anissa is sleeping.
If it is not after midnight, Anissa is not sleeping.
If Anissa is not sleeping, it is not after midnight.
Converse
Contrapositive
Inverca

Answers

The statements are characterized as converse, inverse, and contrapositive statements as follows:

A) If it is after midnight, Anissa is sleeping: Converse statements(B) If Anissa is sleeping, it is not after midnight: Inverse statements(C) If Anissa is sleeping, it is after midnight: Converse statements(D) If it is not after midnight, Anissa is sleeping: Inverse statements(E) If it is not after midnight, Anissa is not sleeping: Contrapositive statements(F) If Anissa is not sleeping, it is not after midnight: Contrapositive statements

Converse statements:

If anything, we would say the opposite: "If the grass is wet, it's pouring." "If it is NOT raining, then the grass is NOT wet," would be our inverse claim. If the grass is not wet, it is not raining, according to our contrapositive.

Inverse statements:

Each of the original statements is presupposed to be false in an inverted statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."

Contrapositive statements:

When you reverse the hypothesis and the conclusion in a statement and reject both of them, you have a contrapositive statement. When the hypothesis and the conclusion are switched in this example and both are negated, the outcome is: If it is not a triangle, then it is not a polygon.

So, the given sentences are:

(A) If it is after midnight, Anissa is sleeping: Converse statements(B) If Anissa is sleeping, it is not after midnight: Inverse statements(C) If Anissa is sleeping, it is after midnight: Converse statements(D) If it is not after midnight, Anissa is sleeping: Inverse statements(E) If it is not after midnight, Anissa is not sleeping: Contrapositive statements(F) If Anissa is not sleeping, it is not after midnight: Contrapositive statements


Therefore, the statements are characterized as converse, inverse, and contrapositive statements as follows:

A) If it is after midnight, Anissa is sleeping: Converse statements(B) If Anissa is sleeping, it is not after midnight: Inverse statements(C) If Anissa is sleeping, it is after midnight: Converse statements(D) If it is not after midnight, Anissa is sleeping: Inverse statements(E) If it is not after midnight, Anissa is not sleeping: Contrapositive statements(F) If Anissa is not sleeping, it is not after midnight: Contrapositive statements

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Answer:

1,2,4

Step-by-step explanation:

edem

I need help for #4 You have to find the slope and I missed a day at school and I am confused on what to do

Answers

The equation of the line is y=3/2 - (-1)
In the formula y=mx+b, m is the slope and in this given problem m is equal to 3/2

the unite rate of the ratio 12/5/3/10 is 8/1. Yes or no

Answers

Yes, the unit rate of the ratio 12/5/3/10 is 8/1 as per given in the problem.

What does unit rate mean?

A unit rate is the price for one unit of a given quantity. With one as the denominator, we express this as a ratio. You would run 7 yards on average every second if you ran 70 yards in 10 seconds, for instance. The 70 yards in 10 seconds and the 7 yards in 1 second ratios are both rates, however the 7 yards in 1 second ratio is a unit rate.

Here, given that the unit rate for the ratio given is 8/1

We have to check whether the ratio is correct or not

So, (12/5)/(3/10)

=(12/5)×(10/3)

=8/1

Therefore, the ratio 8/1 is correct as per given in the sum

So, the answer is yes

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it takes an airplane 1 hour 30 minutes to fly 600 km against the wind. the return trip with the wind takes only 1 hour. find the total flying time for the round trip if there was no wind.

Answers

The total flying time for the round trip if there was no wind would be 2 hours 24 minutes. The result is obtained by using the elimination method.

What is elimination method?

The elimination method is a method for solving system of linear equations where we eliminate one variable so that we can get an equation in one variable. In doing that, we can either add or subtract the equations.

Given the case that an airplane takes 1 hour 30 minutes to fly 600 km against the wind. It takes only 1 hour in the return trip.

What would be the total flying time for the round trip if there was no wind?

Let's say:

v = the speed of the airplanew = the speed of the wind

When the airplane leaves,

v - w = 600 km / 1.5 hour

v - w = 400 kph ... (equation 1)

When the airplane returns,

v + w = 600 km / 1 hour

v + w = 600 kph ... (equation 2)

We eliminate the equation 2 and 1 to get the speed of the airplane.

v - w = 400 kph

v + w = 600 kph +

2v = 1000 kph

v = 1000 ÷ 2

v = 500 kph

For the round trip, the airplane would fly 600 × 2 = 1200 km.

The total flying time if there was no wind would be

t = s/v

t = 1200/500

t = 2.4 hour

t = 2 hours 24 minutes

Hence, the  total flying time for the round trip if there was no wind is 2 hours 24 minutes.

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the 3 conditions for sampling distributions must be met in order to calculate p-hat. group of answer choices true false

Answers

The correct answer is False because, If the sample size is large enough (n greater than or equal to 30) the sampling distribution is approximately normal regardless of the shape of the population.

The sample fraction, often called the "p-hat", is the ratio of the number of sample successes to the size of the sample. The standard deviation of (p) decreases as the sample size n increases. This is because n is included in the denominator of the standard deviation formula. That is, (p has) has fewer variables for larger samples. The P-hat (must be a lowercase p with a caret (^) circumflex) indicates the percentage of the sample (this is the x-bar, the average of the samples).

A p-hat (proportion) sampling distribution is a collection of equal-sized repeated sample proportions drawn from the same population to represent it. According to the central limit theorem, the sampling distribution of p-hat is approximately normally distributed for large sample sizes.

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Figure I
A
12
11
10
9
8
5432
1
-12-11-10-9-876-5-4-3-2-1
--2
3
#8543456
-6
L
-8
9
-10
-11
-12
followed by a
Figure J
1 2 3 4 5 6 7 8 9 10 11 12

Answers

Answer:

need more clarification and need better picture

Step-by-step explanation:

plsssss

i have ordered beads to make jewelry i received 45 beads and 45% of them are yellow how many yellow beads have i received

Answers

The person has about 20 yellow beads.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the person received 45 beads out of which 45% are yellow.

Therefore, the number of yellow beads is,

45% of 45

= (45×45)/100

= 2025/100

= 20.25

≈ 20

Hence, the person has about 20 yellow beads.

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Select the three adjectives. Don't select anyarticles (a, an, or the).The cochlea is a snail-shaped structure inthe inner ear. It is sensitive to vibrations andconverts them into signals that the brainrecognizes as sound. if the cross elasticity of demand for two goods is zero: group of answer choices the goods are substitutes the goods are compliments one of the goods is a normal good and the other good is an inferior good the goods are not related both goods are normal goods from the poem chimney sweeper what did the angel tell the little boy the only limitation on what statutes may do in the american system is found in: the challenge of Jose Rizal in writing the novel El Filibusterismo everyone has intrusive and unwanted thoughts most people ignor tham but some people balme themselves and expect terrible consequences so they act in way they hope will neautralize the thoughts. the type of theorist who would be most likely to agree with this position would be a |-2x|>8 how would i do this problem about absolute inequalities A student investigated heat transfer using a bottle of water. The student placed the bottle in a room at 20.5C.The student measured the temperature of the water in the bottle at 7 a.m. and again at 3 p.m. The data from theinvestigation are shown in the table below.MassofWater(g)800.Water Bottle Investigation Data7 a.m.3 p.m.Temperature(C)12.5Massof Temperature(C)Water(g)800.20.53) Based on the given data, show a numerical setup for calculating the change in the thermal energy of thewater in the bottle from 7 a.m. to 3 p.m. In just two days it will be seven days after three days before Halloween. What is the date today ? How dangerous is Hateful speech toward minorities?Are these attacks racially motivated?Give one to two-paragraph responses to the questions provided. Yvonne's credit car has an apr of 17.79 percent and a 30 day billing cycle. Between the previous balance method and the daily balance method ABC has a right angle at C, BC = 7.7 centimeters, and mA = 41.What is CA? A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters. All of the following sentences contain commonly confused words that result in usage problems for many writers. Which word in italics is used INCORRECTLY in the following sentences?ResponsesA The guard goes past the entrance once an hour.The guard goes past the entrance once an hour.B Will you lie the book on her desk?Will you lie the book on her desk?C Set the bowl on the shelf in the kitchen.Set the bowl on the shelf in the kitchen.D The parade will proceed down Main Street. (06.02)Match the verbal expression (term) with its algebraic expression (definition).MatchTermA variable cubedQuotient of some number and threeProduct of an unknown value and threeThree less than a variableThree more than some numberDefinitionA) 3aB) b + 3C) z + 3D) y - 3E) x Show that there exist a rational number a and an irrational number b such that a^b is irrational. 10.two of the themes from our cultural legacy that have had a profound impact on our current views of sexuality are: In holiday for heroes, how long do audrey and matt exchange letters for before they meet in person?. Which of the following are pre-test loops? Select one: a. for, do-while b. while, for c. while, do-while d. while, for, do-while Estimate the following using the Range Method:$8.94+2.16+ 9.02