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3 years ago

9

if area of a circle varies directly as the cube of the radius, when the area is 625cm the radius is 5cm. calculate the area of a

circle of radius 8

1 answer:

Maksim231197 [3]3 years ago

8 0

Answer:

as the above condition....

5×5×5=625

same,, applying for 8 cm

8×8×8=512cm..

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What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

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Snezhnost [94]

Answer: 65h
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2 years ago

What two numbers would make:<br> a + b = -11<br> AND<br> a x b = 28

ycow [4]

The first step I would do would be to list the factors of 28.

28(1)

14(2)

7(4)

Now notice that 7 + 4 = 11

So that means that -7 + -4 = -11.

Therefore, -7(-4) = 28

Your two numbers are - 7 and - 4. Hope that helps!

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3 years ago