Mathematics College

these two figures are similar find the length of the side x

Answers

Answer 1

Answer:

6.7 in bcoz 4-3.2=0.8 and 7.5-0.8=6.7

Answer 2

Answer:

x = 6

Step-by-step explanation:

This problem can be solved by setting up ratios. The ratio of lengths is 4: 3.2, so we can say that the same ratio should apply to the widths. Thus we get the equation, [tex]\frac{4}{7.5} = \frac{3.2}{x}[/tex], and we get x = 6.

Related Questions

what's the lcm of 24 and 30

Answers

Answer:

120

Step-by-step explanation:

The LCM of 24 and 30 is 120. To find the least common multiple (LCM) of 24 and 30, we need to find the multiples of 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . 120; multiples of 30 = 30, 60, 90, 120) and choose the smallest multiple that is exactly divisible by 24 and 30, i.e., 120.

which graph be represents the soulution set of y[tex]\leq[/tex]3/4x-4?

Answers

the graph would intercept at (0,-4) on the y-axis & at (5.3,0) on the x-axis. And the shaded region would be on the right side of the line on the graph.

The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as seen from a point 47 ft farther from the pole. Find the height of the pole above the level of the observer's eyes. 10) A) 34 ft B) 86 ft C) 60 ft D) 45 ft

Answers

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

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If f(x) = 4x + 3x2 + 1, then what is the remainder when f(x)
is divided by X -2?

Answers

Answer:

remainder = 21

Step-by-step explanation:

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) is divided by (x - 2) with h = 2 , then remainder is

f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21

Glen invited 25 people to his birthday party.
20 people attended the party and 5 people did not attend.
What percent of the people whom Glen invited did not attend the party?

Answers

Answer:

20% of the invited people did not attend

Step-by-step explanation:

5 out of 25 people invited didn't attend Glen's party. That means the following:

[tex]\frac{5}{25}[/tex] people didn't come which simplifies to [tex]\frac{1}{5}[/tex]

Multiply [tex]\frac{1}{5}[/tex] by the giant one [tex]\frac{20}{20}[/tex] so the denominator is 100 which is the denominator used to find percentages.

You end up with [tex]\frac{20}{100}[/tex]

[tex]\frac{20}{100}[/tex] = 20%

20% is the percentage of the people whom Glen invited did not attend the party.

To find the percentage of people who did not attend the party, we will divide the number of people who did not attend (5) by the total number of people invited (25), and then multiply by 100.

Percentage = (Number of people not attended / Total number of people invited) × 100

Percentage = (5 / 25) × 100

Percentage = 20%

So, 20% of the people whom Glen invited did not attend the party.

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Find the mid point or these coordinates
(-2,-7) and (6,9)
select the correct response
(4,2)
(1,2)
(2,1)
(2,4)

Answers

(2,1) is the correct answer

Answer: (2,1)

Step-by-step explanation:

Someone please help...I hate IXL smh

Answers

Answer:

The slope is 10.

Step-by-step explanation:

It starts at 30, then 40, then 50 and so on so forth.

That being said the answer is 10.

Also, I hate IXL as well, but, I hope I helped.

Let me know if I got it correct.

- Abigail (:

y=x+30 is the equation of the line in slope intercept form.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The points through which the line passes is (0,30) and (20,50).

Slope = 50-30/20-0

=20/20

Now let us find the y intercept.

Let us consider any point (0, 30).

30=1(0)+b

b=30

Hence, y=x+30 is the equation of the line in slope intercept form.

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Which line has a constant of proportionality between y and x of 4/3

Answers

Answer:

Line A: constant of proportionality is 4/3

Step-by-step explanation:

The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line. The only line here that has a slope greater than 1 is the blue line (A).

On the unit circle, where 0 less-than pi, when is tangent theta undefined?
Theta = pi and Theta = 2 pi
sine theta = cosine theta
Pi = StartFraction pi Over 2 EndFraction and Pi = StartFraction 3 pi Over 2 EndFraction
sin theta = StartFraction 1 Over cosine theta EndFraction

Answers

Answer:

Option 3

Step-by-step explanation:

As tanθ = sinθ/cosθ, tanθ will have a problem when cosθ goes to zero.

cosθ is at 0 when θ = π/2 and at 3π/2

Answer:

Step-by-step explanation:

In the coordinate plane, the points A(-8, -6), B(-9, 11), and C(3. - 7) are reflected over the y-axis to the points A, B, and C', respectively. What are the coordinates of A' B', and C'?

Answers

Answer:

A' = (8,-6)

B' = (9,11)

C' = (-3,-7)

Step-by-step explanation:

When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.

[(3 x 8) + 2?] + 6 - 2 Write out the steps Jayden will have to take in the yellow box? what are the steps?

Answers

Answer:

[(3*8)+2]+6-2

PEMDAS

There are parentheses so solve what is in them

3*8=24

[24+2]

26+6-2

Do the addition

32-2

30 is your answer

30 steps

what does (-x)+(-x)+(-x)=

Answers

Answer: -3x

Step-by-step explanation:

(-x)+(-x)=-2x

-2x+(-x)=-3x

а (b) Two ovens are used to bake banana cakes and chocolate cakes. Each oven will ding according to its setting time. A banana cake takes 50 minutes to bake wbile a chocolate cake takes 45 minutes to bake.
(i) If each cake is put into the ovens at the same time, what is the time taken until both ovens ding simultaneously?

(ii) When the both ovens ding, how many banana cakes and chocolate cakes are baked?

Answers

Answer:

(b)(i) LCM of 45 and 50 = 450

Hence, it take 450 minutes until both ovens ding simultaneously.

(b)(ii) 450÷50=9 banana cakes baked

450÷45=10 chocolate cakes baked.

One integer is 2 less than another. The sum of their squares is 34. Find the integers.

Answers

Answer:

no se bro no se inglés así no se que bas a aaer

Step-by-step explanation:

pero puedes consultar por

PLS HELP GRADIENT FIRST TO ANSWER GETS BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Answer:

For a;

The answer will be 3

For b;

The answer will be -4

Step-by-step explanation:

To find the gradient of the lines, you must pick 2 points on the line and then find [tex]dy/dx[/tex]

I hope this helped!

Can I have brainliest?

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

Which expression is equivalent to 3.5 B +4.5+0.5 B -0.5-1.5 B?

Answers

Answer:

+4.5B+0.5B-1.5B+0.5‐0.5+0.5

PLEASE HELP BRAINLIEST TO THE RIGHT ANSWER!!!!!
A 7.8 kg object is suspended by a string from the ceiling of an elevator. The acceleration of gravity is 9.8 m/s^2.

A. Determine the tension in the string if it is accelerating upward at a rate of 1.5 m/s^2. Answer in units of N.

B. Determine the tension in the string if it is accelerating downward at a rate of
1.5 m/s^2

Answers

Answer:

88.14 N

64.74 N

Step-by-step explanation:

The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.

What was the temperature at 10 a.m. of the substance?

Enter your answer as a decimal in the box.

°F

Answers

Answer: 33.5

Step-by-step explanation:

the answer is: 58.95

i took the test

How many eggs are 5dozens

Answers

Answer:

Step-by-step explanation:

1 dozen=12 eggs. 12 ×5=60

Answer:

Step-by-step explanation:

dozen=12

5x12=60

Harley has 60 beads. There are 11 beads that are NOT round. The rest are round. How many round beads does Michelle have?
Help please

Answers

Answer:

Step-by-step explanation:

If there's 60 beads in total and 11 are round and the rest aren't all you have to do is subtract 11 from 60.

Like This: 60-11=49

To check your answer you can add them to see if you get 60. Like this: 11+49=60

A roller coaster can take 209 passengers around the track in 11 minutes. How many passengers can the roller coaster take around the track per minute?

Answers

you want to do 209/11 and get 19 as your answer

help extremely quick plsssssssssssssssssssssssssssssssssss
Select all the expressions that have a value of 180 when b = 4.
A. 87b - 179 + 957 ÷87
B. 33b/12
C. b² + 120
D. 51b - 24
E. 11b + 187 - 2,756 ÷ 13

Answers

Answer:

A and E

Step-by-step explanation:

Which expression represents 81 decreased by an unknown number?

81÷a

81a

81−a

81 + a

Answers

Answer:

81 - a

Step-by-step explanation:

Decreased

means to subtract

81 –

by an unknown number

means a variable such as a or x

therefor

81 – a

What are equivalent ratios for 32/8

Answers

Hey there!

32/8

= 32 ÷ 8 / 8 ÷ 8

= 4 / 1

Therefore, your answer should be: 4:1 or 4/1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

In a bag of 50 marbles, 15 marbles are green or red.

What percentage of marbles are green or red?

Enter the missing values in the boxes to complete the ratio table.
Part____ Whole 50

Part____ Whole 100

Answers

Answer:

28% are green or red

Step-by-step explanation:

10. Is it possible for a regular polygon to have 240° as the measure of each of its interior
angles?

Answers

Step-by-step explanation:

No, it is not possible for a regular polygon to have 240° as the measure of each of

its interior angles.

according to the formula:

A = 180 - (360 /n)

where A is the interior angle

therefore, the A could be less than 180°

As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation. a. causal b. zero c. positive d. negative

Answers

When the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases, this implies a negative correlation.

Negative correlation simply means the relationship between two variables where as one variable increases, the other variable will reduce.

Therefore, in a situation where the average daily temperature in New York City decreases and the number of persons who are observed wearing sweaters in the workplace increases, this illustrates a negative correlation.

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It took the Selby family hours round -trip to drive from their house to their beach house 154 miles away . Find their average speed . 5 1/2

Answers

Step-by-step explanation:

Distance = 154 miles .

Time = 5 ½ hrs .

We know ,

Speed = s / t

v = 154 mi/ 5.5 hrs = 28 mi / hr

It takes 6 fruit pickers 18 hours to pick a field of fruit. How long would it take 8 fruit pickers to pick the same field.

Answers

So I believe it is 13.5 hours because you need to multiply 6 and 18, and the total of that should be divided by 8

Time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.

What is time?

" Time is defined as the continues process which help us to measure the period/ length of occurring of event. It does not have any dimensions."

According to the question,

Time take by [tex]6[/tex] fruit pickers to pick the fruit from the field [tex]= 18[/tex]hours

As per the given situation we have,

Time taken by[tex]8[/tex] fruit pickers to pick the fruits of the same field

[tex]=\frac{(6)(18)}{8}[/tex]

[tex]=13.5[/tex]hours

Hence, time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.

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Phil uses the model below to help him with multiple decimals. write a multiplication equation to represent the decimal model.

Answers

Multiplication equations can be modeled using decimal models.

The multiplication equation is: [tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]

From Phil model, we have the following highlights

50 boxes are shaded vertically90 boxes are shaded horizontally

So, the multiplication expression is:

[tex]\mathbf{\frac{50}{100} \times \frac{90}{100}}[/tex]

Express as decimals

[tex]\mathbf{0.50 \times 0.90}[/tex]

Multiply

[tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]

Hence, the multiplication equation is: [tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]