Step-by-step explanation:
I am not sure this is typed all correctly.
what I understand here :
there is an original triangle ABC in inches.
then, using the scale 1 cm = 4 inches a smaller triangle A'B'C' was created.
the side lengths of A'B'C' are 2cm, 4.8cm, 5.2cm.
due to the scale of 1 cm = 4 inches that means ABC has the side lengths 8 inches, 19.2 inches, 20.8 inches.
and now, another scaled triangle A"B"C" is drawn in inches based on ABC with a scan factor of 1/16 (is that correct ?).
that means that all side lengths are divided by 16 for the resulting triangle.
8 inches /16 = 0.5 inches
19.2 inches / 16 = 1.2 inches
20.8 inches / 16 = 1.3 inches
so, the second answer option is correct.
the perimeter of a rectangle is 20cm. if the breadth of the rectangle is 2cm what is it's area
Answer:
perimeter =20cmbreadth=2cmlength=?we know that
perimeter =2*(l+b)
20=2*(l+2)
20=2l+4
2l=20-4
2l=16
l=16/2
l=8
group of 3 people is going on a boat tour. If each boat holds 3 people, how many will boats will the group need?
Answer:
1
Step-by-step explanation:
there are 3 people and 1 boat holds three people
Find the area of the shaded portion.
6
120
Answer:
A = 36√3 - 12π
Step-by-step explanation:
Make 2 identical 30-60-90 triangles out of the "wedge"
For each 30-60-90 triangle:
Since the short leg is 6 the long leg is 6√3
short leg is the base and long leg is the height
a = (1/2)bh
a = (1/2)(6)(6√3)
a = 3(6√3)
a = 18√3
Since there are 2 triangles
a = 36√3
--------------------------------
Then subtract off the area of the 120º sector
a = (120/360)πr^2
a = (1/3)π(6^2)
a = (1/3)π(36)
a = 12π
Shaded area
a = 36√3 - 12π
Step-by-step explanation:
we have the areas of 2 right-angled triangles minus 1/3 the area of the circle (because the 120 degree segment of the circle is 1/3 of the whole 360 degree circle).
since the answer is asking for a square root, we need to aim for the result of a Pythagoras calculation.
basically, the area of a triangle is
1/2 × b×c × sin(A)
A being the angle between the 2 sides b and c. for any 2 sides of the triangle.
one triangle is from the outmost left point to the center of the circle and up to the 90 degree angle. the other triangle is then down to the second right angle.
we know all angles in such a triangle : 90, 120/2 = 60, 180-90-60 = 30.
remember, the sum of all angles in a triangle is 180 degrees.
so, via the law of sines we can then calculate all sides :
a/sin(A) = b/sin(B) = c/sin(C)
with the angles being opposite of the sides.
6/sin(30) = baseline/sin(90)
6/0.5 = baseline/1
12 = baseline
top side² + 6² = 12²
top side² = 12² - 6² = 144 - 36 = 108
top side = sqrt(108) = sqrt(36×3) = 6×sqrt(3)
we pick then top side and 6 as the 2 sides, so that we can use sin(90)=1 in the formula.
the area of the 2 triangles is then
6×sqrt(3)×6×sin(90) = 36×sqrt(3)
and the circle segment to be deducted is
pi×r²/3 = pi×6²/3 = pi×36/3 = pi×12
so, the complete answer is
A = 36×sqrt(3) - 12×pi
Write 1.42 as a mixed number in simplest form.
1.42=
The decimal is repeating
Answer:
71/50
Step-by-step explanation:
rail fares go up by 10%, and josie’s new season ticket to london costs £1342. calculate how much more she has to pay now than she did before the 10% increase was added
Answer:
£134.2 more
Step-by-step explanation:
Divide 1342 by 100
Then you get 13.42
Times that by 10 and £134.2 is 10%
What is 4 percent of $128.72 ?
Answer:
124.72
Step-by-step explanation:
Answer:
Step-by-step explanation:
4% of 128.72 = 0.04 * 128.72
= 5.1488
Write the exponential function for the values in the table below.
Answer:
f(x) = [tex]8^{x}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{512} = 8\\\sqrt[4]{4096} = 8\\\sqrt[5]{32768} = 8[/tex]
which means 8 to the power of 3 will give you 512, to the fourth power will give you 4096.
So the exponential function is f(x) = [tex]8^{x}[/tex]
Simplify the expression
8h+(−7.3d)−14+5d−3.7h.
Solve this equation, show all your work:
6(x+1)=-2(3x+9)
Answer:
x=-2
Step-by-step explanation:
6(x+1)=-2(3x+9)
Distribute the 6.
6x+6=-2(3x+9)
Distribute the -2.
6x+6=-6x-18
Move the variable to the left-hand side and change the sign.
6x+6+6x=-18
Collect like terms
12x=-18-6
Calculate the difference.
12x=-24
Divide both sides by 12.
x=-2
Hope this helps :)
What substitution should be used to rewrite x10−13x5+12=0 as a quadratic equation?
u=x10
u=x2
u=x5
u=x20
Answer:
C
Step-by-step explanation:
put x^5=u
Answer:
[tex]u=x^{5}[/tex]
Step-by-step explanation:
[tex]x^{10} - 13x^{5} + 12 = 0\\\\(x^{5})^{2} - 13x^{5} + 12 = 0\\\\u^{2}-13u+12=0[/tex]
how do we find x and y intercepts
Answer:
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.
File uploaded. Please help I don't understand this.
Answer:
Ms. Brown needs 0.18 more cents to afford the pounds of granola and cranberry mix.
Step-by-step explanation:
Ms. Brown = $10 limit
Purchases 1.75 lbs of granola and 2.9 lbs of cranberry mix
Cranberry per lb = $3.25
Granola per lb = $2.19
1.75 x 2.19 = 3.8325 (Cost of granola)
2.9 x 2.19 = 6.351 (Cost of cranberry)
3.8325 + 6.351 = 10.1835 (Total cost of both cranberry and granola)
10.1835 rounded to nearest cent = 10.18
10 < 10.18
Ms. Brown doesn't have enough money to buy the pounds of granola and cranberry mix.
Simplify this expression: 4(x+3)+3(5-x)
Answer:
x+27
Step-by-step explanation:
Let's simplify step-by-step.
4(x+3)+3(5−x)
Distribute:
=(4)(x)+(4)(3)+(3)(5)+(3)(−x)
=4x+12+15+−3x
Combine Like Terms:
=4x+12+15+−3x
=(4x+−3x)+(12+15)
=x+27
Hope you find this Useful!
Answer:
x+27
Step-by-step explanation:
Distribute
4(+3)+3(5−)
4+12+3(5−)
Rearrange terms
4x+12+3(5−x)
4+12+3(−+5)
Distribute
4x+12+3(−x+5)
4+12−3+15
Add the numbers
4x+12−3x+15
4+27−3
Combine like terms
4x+27−3x
1+27
Multiply by 1
1x+27
+27
Find the value of f(-3)f(−3).
Solve for x
1−6x = −17
Answer:
x = 3
Step-by-step explanation:
1 - 6x = - 17 ( subtract 1 from both sides )
- 6x = - 18 ( divide both sides by - 6 )
x = 3
Do you know what the variables could be
Answer:
5, 7, and 12
Step-by-step explanation:
First we can make and equation
x + z + y = 24
we can plug in the numbers you gave us giving us
y = x + z
z = y - x
x = (y - 2) ÷ 2
Once, were done we get that x = 5 ≈ smallest number
z = 7 ≈ second largest number
y = 12 ≈ largest number
A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of 1/3. The other ski slope will pass through points (2,-3) and (s,-5). Find the value of s
Answer: s= -8
Step-by-step explanation:
The gradient of the ski slope can ge used as the slope (literally) of a line equation:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x = 0).
The first slope would be y = -(1/3)x + b.
The slope is (-1/3) since the ski run is headed downhill. The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").
y' = -(1/3)x' + b
We may assume that b is the same for both slopes - they start and end at the same point.
We can find b by using the given point (2,-3):
y' = -(1/3)x' + b
-3 = -(1/3)(2) + b
-3 = -(2/3) + b [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]
-7/3 = b
b = -(7/3)
The second ski slope, y', thus has the equation
y' = (1/3)x' -(7/3)
We want the value of s in (s, -5).
y' = (1/3)x' -(7/3)
-5 = (1/3)s -(7/3)
(1/3)s = -5 +(7/3) [-15/3 + 7/3 = -8/3]
(1/3)s = -(8/3) [Multiply both dies by 3]
s = -(24/3)
s = -8
Salut comment ça va? This is french.
Slope - Part 1
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest
form in the box
Please hurry!!
Answer:
-1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
Using the points on the line (-2,0) and (0,-2)
m = ( -2-0)/(0- -2)
= (-2-0)/(0+2)
-2/2
-1
a football team won 80% of the 150 games in a season. Wright the percent proportion that will help you solve the problem in that point
The price of Stock A at 9 AM was $12.73. Since then, the price has been increasing at the rate of $0.06 per hour. At noon, the price of Stock B was 13.48. It begins to decrease at the rate of $0.14 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?
Answer:
Let the hours when they equalize=h, then we have:
12.25 + .13h=13 - .09h
.13h + .09h=13 - 12.25
.22h=.75 divide both sides by .22
h=.75/.22
h=3 9/22, hours, when they will equalize.
The stock prices will be the same in 3.4 hours.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
At 9 a.m., the price of Stock A was $12.73. Since then, the price has risen at a pace of $0.06 per hour. Stock B was trading at 13.48 at midday. It starts to fall at a pace of $0.14 each hour.
Let's assume the hours would be h when to equalize,
As per the given question, we can write the equation as:
12.25 + 0.13h = 13 - 0.09h
Rearrange the terms of h in the above equation,
0.13h + 0.09h = 13 - 12.25
Combine the likewise terms in the above equation,
0.22h = 0.75
Divide both sides by 0.22
h = 0.75/0.22
h = 3.4
Thus, the stock prices will be the same in 3.4 hours.
Learn more about the equation here:
brainly.com/question/13947055
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50 POINTS
Consider this equation: 2/3x - 9 - 2x+2=1
Which is an equivalent equation after combining like terms?
O 8/3x - 11 = 1
O -4/3x - 7 = 1
O 8/3x - 7 = 1
O -4/3x - 11 = 1
Answer:
-4/3x-7=1
Step-by-step explanation:
just combine like terms
Which of the following is not a subset of {1, 2, 3}?
{0}
{1, 2, 3}
Ø
Answer:
{0}
Step-by-step explanation:
{0} is not because 0 is not an element of set {1, 2, 3}
The null set is a subset of every set, so Ø is.
A set is a subset of itself.
school x and school y play each other in a competition
school x has eight more than school y
school x has three times as many points as school y.
how many points does each school have ?
Answer:
x=12 y=4
Step-by-step explanation:
x=y+8
x=3y
x=y+8 times 3
3x=3y+24
x=3y
3x=3y+24 - x=3y
2x=24
x=24
24-8=4
4 times 3 =12
Help ASAP! (20 points)
What is the slope-intercept equation for the following line?
y=__x+__
What are the roots of the equation?
X^2(6x - 11) (7x– 8) = 0
Answer:
0, 11/6 , 8/7
Step-by-step explanation:
Answer:
[tex]0, \frac{11}6, \frac87[/tex]
Step-by-step explanation:
Good thing it's already written as a product, which spares us the most complicated (and boring) part.
We know that a product is zero if it's 0 any of the factors.
From the first one [tex]x^2=0 \rightarrow x=0[/tex]
from the second factor [tex]6x-11=0 \rightarrow x=\frac{11}6[/tex]
and finally, for the third one, [tex]7x-8 =0 \rightarrow x = \frac87[/tex]
Heyyyyyy , Can you please help me with this
Answer:
19 houses
Step-by-step explanation:
90*(2/5)=36
90-36=54
54*(2/3)=37
54-37=19
1. A length of rope is stretched between the top edge of a building and a stake in the ground. The
head of the stake is at ground level. The rope also touches a tree that is growing halfway
between the stake and the building. If the tree is 38 feet tall, how tall is the building?
stake
38 ft.
O 19 ft.
076 ft.
57 ft.
Answer:
I want to say the building is most likely 76 ft tall
Is that the right answe plzzz help me
Answer:
Your answer is All of the Above.
Hope this helps!
Step-by-step explanation:
OA is the radius
OC is the radius
and OB is the radius
( They are all half length of the circle )
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than −1.66.
Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.
The graph is given by option B.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean of the distribution. From the z-score table, the p-value associated with the z-score is found, representing the percentile of the measure X.In the context of this problem, the mean and the standard deviation of the scores are given as follows:
[tex]\mu = 0, \sigma = 1[/tex]
The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (-1.66 - 0)/1
Z = -1.66
Z = -1.66 has a p-value of 0.0485.
1 - 0.0485 = 0.9515, which is the probability.
The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.
More can be learned about the normal distribution at https://brainly.com/question/4079902
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