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2 years ago

WILL MAKE BRAINLIEST!!! Match the correct scale factor to each dilation. Solve for a and b

Mathematics

1 answer:

White raven [17]2 years ago

4 0

Answer:

I am having a hard time reading the letters, so I hope this makes sense. I think that the numbers for the top triangles is given is 6 and 3. That means that the scale factor from the little to the big is 2 and from the big to the little is 1/2. It is the same for the bottom triangles.

Step-by-step explanation:

If the triangles are similar the scale factors will be the same for all three corresponding sides of the triangle. You find the two sides that are corresponding and ask yourself what do I have to multiple the side of of triangle to get the new triangle.

If one side is 3 and the other triangles side is 6. I am asking myself what do I have to multiple 3 by to get 6? 2. That is my scale factor.

3x = 6

x = 2

The scale factors are always reciprocals of each other. If I go the other direction I can write the equation

6x = 3 and when I divide both sides by 6, I get a scale factor of 1/2.

The bottom triangles:

2.5 x = 5

x = 2

and

5x = 2.5

x =1/2

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9. One box has a surface area of 96 cm2 and a height of 4 cm.

ss7ja [257]

Answer:

2,645

Step-by-step explanation:

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8 0

3 years ago

Order the fractions least to greatest 3/4,2/5,5/8,1/2

Anuta_ua [19.1K]

Step-by-step explanation:

1/2, 2/5, 5/8, 3/4

Hope this helps!!

7 0

3 years ago

Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and

shusha [124]

Forces in direction x:
fx1 = 100 * cos (50) = 64.28
fx2 = 50 * cos (160) = - 46.99
The resultant is:
fx = fx1 + fx2 = 17.29

Forces in direction y:
fy1 = 100 * sine (50) = 76.60
fy2 = 50 * sine (160) = 17.10
The resultant is:
fy = fy1 + fy2 = 93.70
The magnitude of the resulting force is:
f = root (fx ^ 2 + fy ^ 2)
f = root ((17.29) ^ 2 + (93.70) ^ 2)
f = 95.28
The angle is:
theta = atan (fy / fx)
theta = atan (93.70 / 17.29)
theta = 79.55 degrees
Answer:
The direction and magnitude of the resultant force are:
f = 95.28 pounds at theta = 79.55 degrees

6 0

3 years ago

Please help me people thank you in advance

scZoUnD [109]

Answer:

$-\dfrac{11}{12}$

Step-by-step explanation:

$\dfrac{\dfrac{5}{8}+\dfrac{3}{4}}{\dfrac{-2}{3}-\dfrac{5}{6}}=\\\\\\\dfrac{\dfrac{11}{8}}{-\dfrac{9}{6}}=\\\\\\\dfrac{11}{8}\times -\dfrac{2}{3}=\\\\\\-\dfrac{22}{24}=\\\\\\-\dfrac{11}{12}$

Hope this helps!

8 0

3 years ago

A survey was conducted that asked 1003 1003 people how many books they had read in the past year. results indicated that x overb

kirill115 [55]

The confidence interval is

$10.5\pm1.35 = (9.15, 11.85)$ . This means that we can be 99% confident that the mean number of books people read lies between 9.15 and 11.85.

To find the confidence interval, we first find the z-score associated with it:

Convert 99% to a decimal: 0.99
Subtract from 1: 1-0.99=0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score between 2.57 and 2.58. Since both are equally far from this value we will use 2.575.

We calculate the margin of error using

$ME=z*\frac{s}{\sqrt{n}}
\\
\\=2.575*\frac{16.6}{\sqrt{1003}}=1.35$

This means that the confidence interval is
$10.5\pm1.35$

The lower limit is given by 10.5-1.35 = 9.15.
The upper limit is given by 10.5+1.35 = 11.85

5 0

3 years ago