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Marina86 [1]
3 years ago
14

The circular play area has a diameter of 16 feet. There is a walkway that surrounds the play area and is 3 feet wide. What is th

e area of the walkway? Round your answer to the nearest whole foot?
Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.

Step-by-step explanation:

The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.

Area of Circle = PI times Radius squared

Outer circle radius = (22 ft /2) = 11 ft

Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380

Inner circle radius = (16 ft / 2) = 8 ft

Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201

Area of sidewalk =  380 - 201 =  179

Read more on Brainly.com - brainly.com/question/11852368#readmore

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Alexus is ordering a large pizza for lunch. She has $15 dollars in all. A large pizza costs $9 and
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Step-by-step explanation:

It would be

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4 0
3 years ago
Help please calculus
VLD [36.1K]

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

6 0
2 years ago
Yancey collects plastic banks .He has three different banks: a pig, a cow, and a horse. How many ways can Yancey arrange his ban
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let h = horse, let c = cow, let p = pig

so,

hcp

hpc

cph

chp

phc

pch

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4 0
3 years ago
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Step-by-step explanation:

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3 years ago
You have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is
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To find out how many cotton swabs you'll need, we just divide 37.8 by how tall each swab is:

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ANSWER: The model would be 5 cotton swabs tall.
4 0
3 years ago
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