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marysya [2.9K]
3 years ago
11

Math question down below

Mathematics
2 answers:
TiliK225 [7]3 years ago
6 0
Your answer is 500% Here's why: 2. We assume, that x is the value we are looking for.  If 100% equals 45, so we can write it down as 100%=45. 
 We know, that x% equals 225 of the output value, so we can write it down as x%=225. 
Now we have two simple equations:
1) 100%=45
2) x%=225
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=45/225
 Now we just have to solve the simple equation, and we will get the solution we are looking for.
 Solution for 225 is what percent of 45

100%/x%=45/225
(100/x)*x=(45/225)*x       - we multiply both sides of the equation by x
100=0.2*x       - we divide both sides of the equation by (0.2) to get x
100/0.2=x 
500=x 
x=500

now we have: 
225 is 500% of 45 That's your answer. Hope I helped! 

dezoksy [38]3 years ago
5 0
Set up a proportion

45/225= x/100

45/225 simplifies to 1/5.

1/5= x/100
5*20=100
1*20=20=x

Final answer: 20%
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Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help s
Viktor [21]

Answer:

1. Translate circle A using the rule (x − 3, y + 4).

4. Dilate circle A by a scale factor of 5

Step-by-step explanation:

we know that

All circles are similar figures

step 1

Translate the center of circle A to the center of circle B

we have

A(2,8) -----> B(5,4)

so

The rule of the translation is

(x,y) ----> (x+a,y+b)

(2,8) ----> (2+a,8+b)

2+a=5 ----> a=5-2=3

8+b=4 ---> b=4-8=-4

therefore

The rule of the translation is

(x,y) ----> (x+3,y-4)

step 2

Divide the radius of circle B to the radius of circle A to find out the scale factor

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so

Multiply the radius of circle A by the scale factor to obtain the radius of circle B

therefore

Dilate circle A by a scale factor of 5

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