Ask question

Ask question

All categories

2 years ago

13

In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region

is 160

1 answer:

stich3 [128]2 years ago

5 0

let's find the area of the outer circle and the inside circle

the inside's circle area

A= π x 6²=36π

the outer's

A' = π x 4x²= 4πx²

A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.

You might be interested in

Leo bought a car for x dollars one year later the value of the car was 0.88x.which exspression is another way to describe the ch

Furkat [3]

Well, the car depreciated in value by 12%, so you could say
x-12%, or just
x-0.12.

5 0

3 years ago

Sergeu [11.5K]

Answer:option 2

Step-by-step explanation:sets Band C contains 2,4,6 in common

Set A and the common set of B and C stated above contains 2 in common

7 0

2 years ago

Do you know the answer toPart A: 25% of 50 = Part B: 25% of 60 = Part C: 50% of 60 = Part D: 75% of 60 = Part E: 75% of 30 = Par

Verdich [7]

Answer:

Part A: 25% of 50 = 12.5

Part B: 25% of 60 = 15

Part C: 50% of 60 = 30

Part D: 75% of 60 = 45

Part E: 75% of 30 = 22.5

Part F: 100% of 22.5 = 22.5

Part G: 10% of 22.5 = 2.25

Part H: 50% of 45.7 = 22.85

Step-by-step explanation:

To find - Do you know the answer to

Part A: 25% of 50 =

Part B: 25% of 60 =

Part C: 50% of 60 =

Part D: 75% of 60 =

Part E: 75% of 30 =

Part F: 100% of 22.5 =

Part G: 10% of 22.5 =

Part H: 50% of 45.7 =

Proof -

Part A :

25% of 50 = $\frac{25}{100} *50$ = $\frac{1}{4}*50$ = 12.5

⇒25% of 50 = 12.5

Part B :

25% of 60 = $\frac{25}{100} *60$ = $\frac{1}{4}*60$ = 15

⇒25% of 60 = 15

Part C :

50% of 60 = $\frac{50}{100} *60$ = $\frac{1}{2}*60$ = 30

⇒50% of 60 = 30

Part D :

75% of 60 = $\frac{75}{100} *60$ = $\frac{75}{10}*6$ = 45

⇒75% of 60 = 45

Part E :

75% of 30 = $\frac{75}{100} *30$ = $\frac{75}{10}*3$ = 22.5

⇒75% of 30 = 22.5

Part F :

100% of 22.5 = $\frac{100}{100} *22.5$ = 22.5

⇒ 100% of 22.5 = 22.5

Part G :

10% of 22.5 = $\frac{10}{100} *22.5$ = 2.25

⇒ 10% of 22.5 = 2.25

Part H :

50% of 45.7 = $\frac{50}{100} *45.7$ = $\frac{1}{2}*45.7$ = 22.85

⇒50% of 45.7 = 22.85

6 0

2 years ago

On two investments totaling $11,500, Peter lost 3% on one and earned 4% on the other. If his net annual receipts were $⁢201, how

BlackZzzverrR [31]

Total amount of money invested - $11500
X +Y = $11500. ----------(1)
Total yearly interest for thetwo a/c is - $201
-0.03X + 0.04Y = $201
Form (1)
X = 11500 - Y
Substitute for X
-0.03(11500 - Y) + 0.04 Y = $201
-345 + 0.03Y + 0.04Y =201
0.07Y = 546
Y = 7800 at 4 %
Calculate X
X = 11500 - Y
= 11500 - 7800
=3700 at - 3%
Check
-0.03×3700 + 0.04 × 7800 = $201
-111 + 312 = $201
$201 = $201

6 0

3 years ago

Solve the equation 6x + 2x - 5= 19 x=? Simplify your answer

SSSSS [86.1K]

Answer:

x = 3

Step-by-step explanation:

6x + 2x - 5= 19

8X -5 = 19

8x = 24

x = 3

7 0

2 years ago