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Mamont248 [21]
3 years ago
12

Find the area of a circle with a circumference of \blueD{18.84}18.84start color blueD, 18, point, 84, end color blueD units.

Mathematics
1 answer:
g100num [7]3 years ago
8 0

Answer:

28.26

Step-by-step explanation:

The circumference of a circle is the distance around the edge of the circle. To find the circumference, we use the formula C = 2πr. The area of the circle is the amount inside the circle and is found using A = πr². Substitute the relevant values in each situation into the formulas to find the circumference and/or area.

Substitute C = 18.84 and solve for r. Then substitute r into the area formula.

C = 2πr

18.84 = 2πr

3 = r

A = πr² = π(3)² = 28.26

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Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

--------------------------------------------------------------------------------------------------

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

--------------------------------------------------------------------------------------------------

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

5 0
3 years ago
A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable. True or
vesna_86 [32]
<span>The answer is true
 Let's imagine that we have the following function function:
 </span>y = x ^ 2 &#10;
 <span>We have to:
 Independent variable: x
 Dependent variable: y
 For x = -1:
 </span>y = (- 1) ^ 2 = 1 &#10;
<span> For x = 1:
 </span>y = (1) ^ 2 = 1 &#10;
<span> We observe that the independent variable can only obtain one result.
 Answer:
 True</span>
3 0
3 years ago
Read 2 more answers
Which expression calculates the speed in meters per second of an object that travels a distance of 100 m every 20 s?
patriot [66]
Speed=distance/time so it would be 100/20
5 0
3 years ago
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A laundry basket contains 8 white t-shirts and 6 black t-shirts. What is the probability of randomly picking a black t-shirt fro
MissTica

Answer:

30/182 = 15/91.

Step-by-step explanation:

<u>PROBABILITY:</u> the likelihood of an event.

There are a total of 14 shirts in the basket.

Of the 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.

The probability of picking a black shirt is 6 in 14, or 6/14.

The probability of picking a white shirt is 8 in 14, or 8/14.

<u>WITHOUT REPLACING:</u> This means that you take one without putting it back. (There will be one less).

6/14 × 5/13 = 30/182.

30/182 = 15/91.

8 0
3 years ago
WILL MARK BRAINLIEST EASY 6th grade math Use the distributive property to express 36 + 16. *
Aleks04 [339]

Answer:

4 (9+4)

Step-by-step explanation:

its 4(9+4) because we are trying to make 36+16

4(8+5) is the same answer but it would be 32+20

while 4(9+4) would be 36+16

4 0
3 years ago
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