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Shtirlitz [24]
3 years ago
8

Circle D was dialated to form circle D'. The diameter of circle D is 5 units and the diameter of circle D' is 15 units. What is

the relationship between the areas of circle D and circle D'?
A The area of circle D' would be 3 times the area.

B The area of circle D' would be 9 times the area.

C The area of circle D' would be 1/3 of the original area.

D The area of circle D' would be 1/9 of the original area.
​
Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

Let A1 be original area

A2 dilated Area

A1=pi*d^2/4

=3.143*5^2/4

A1=19.63 unit square

A2= 3.143*15/4

A2=176.74 unit square

A2 is 9 times greater than A1

Hence the answer is B

Step-by-step explanation:

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cluponka [151]

Answer:

2:30pm

Step-by-step explanation:

7 0
3 years ago
Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years. *
Ivan

Answer:

$13,793

Step-by-step explanation:

Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years. *

The formula for Depreciation rate =

y = a(1 - r) ^t

Where

y = Value of the car after t years

a = Initial value of the car = $23,000

t= time in years = 4 years

r = Depreciation rate = 12% = 0.12)

y = $23000 (1 - 0.12)⁴

y = $13792.99328

Approximately = $13,793:

3 0
3 years ago
Solve for x 3(x+2)+4=5x+7
GaryK [48]
Distribute: 3x+6+4=5x+7
Simplify: 3x+10=5x+7
Subtract 3x from both sides: 10=2x + 7
Subtract 7 from both sides: 3=2x
Divide by 2: x=3/2

x=3/2
3 0
3 years ago
Find the number, d, if the sum of five times d and five times five is a<br> hundred.
Gelneren [198K]

The value of d from the given expression is 15

<h3>Word problem leading to equation</h3>

From the given statement the sum of five times d and five times five is a

hundred is interpreted as;

5d + 5(5) = 100

5d + 25 = 100

Subtract 25 from both sides

5d = 100 - 25

5d = 75

d =15

Hence the value of d from the given expression is 15

Learn more on word problem here: brainly.com/question/13818690

#SPJ1

6 0
2 years ago
From an industrial area 70 companies were selected at random and 45 of them were panning for expansion next year. Find 95% confi
Lana71 [14]

Answer:

Confidence limit = [52.8%, 75.2%]

Step-by-step explanation:

P=\frac{45}{70}= 0.64

(1-P)=1-0.64=0.36

n= 70

P ± z \sqrt{\frac{P(1-P)}{n} }

where the value z will be taken from the z-table for 95% confidence interval

1-0.95= 0.05/2= 0.025

0.95+0.025= 0.0975

From the z-table the value of z corresponding to 0.0975 is 1.96

0.64 ± 1.96 \sqrt{\frac{0.64*0.36}{70} }

0.64 ± 1.96 (0.057)

0.64 ± 0.112

64%% ± 11.2%

so the confidence interval is

64+11.2=75.2%

64-11.2=52.8%

[52.8, 75.2]

8 0
3 years ago
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