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kipiarov [429]
3 years ago
15

Determine (a) the area and (b) the circumference of the circle.

Mathematics
1 answer:
Inga [223]3 years ago
3 0

Step-by-step explanation:

<h2>a).</h2>

To find the area of the circle we must first find the radius using the formula

radius = diameter / 2

From the question

diameter = 21 ft

The radius is

21/2 = 10.5 ft

Area of a circle = πr²

where r is the radius

Area = π(10.5)²

= 110.25π

<h3>= 346.36 cm²</h3>

<h2>b).</h2>

Circumference of a circle = πd

where d is the diameter

Circumference = π(21)

<h3>= 65.97cm</h3>

Hope this helps you

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Please Help, Lots of points
Andrei [34K]

Answer:

9 cats

Step-by-step explanation:

x = cat

y = dog

Set up equations.

x + y = 30

4.5x + 8.5y = 219

Multiply first equation by 4.5 and subtract.

4.5x + 4.5y = 135

-(4.5x + 8.5y = 219)

-4y = -84

y = 21

Substitute this y value into the first equation

x + y = 30

x + 21 = 30

x = 9

3 0
3 years ago
a. Determine whether the Mean Value Theorem applies to the function f (x )equals ln 15 xf(x)=ln15x on the given interval [1 comm
ivolga24 [154]

Answer:

(a)

The function f is continuous at [1,e] and differentiable at (1,e), therefore

the mean value theorem applies to the function.

(b)

c = e-1 \\ = 1.71828

Step-by-step explanation:

(a)

The function f is continuous at [1,e] and differentiable at (1,e), therefore

the mean value theorem applies to the function.

(b)

You are looking for a point c   such that

\frac{1}{c} = \frac{\ln(15e)-\ln(15*1)}{e-1} = \frac{\ln(15e/15)}{e-1} = \frac{\ln(e)}{e-1} = \frac{1}{e-1}

You have to solve for c  and get that

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5 0
3 years ago
In 2-3 sentences describe how you use substitution to solve a system of linear equations?
OverLord2011 [107]
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8 0
3 years ago
There are 161 calories in 28 grams you eat 9 cashews totaling 12 grams. How many cashews are in one serving
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Answer:

For every 4 grams there are 3 cashews.

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5 0
3 years ago
(solving for y) <br> 4x-5=7+4y
alexira [117]
y = x - 3

1. Subtract 7 from the right to the left.
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3 0
3 years ago
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