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11111nata11111 [884]
3 years ago
14

Micah is buying gravel for a rock garden that will be edged by a circular metal border. She will use 110 feet of metal edging fo

r the border. What is the area of the garden? Use 3.14 for Pi
The equation C = 2 r is used to determine the circumference of a circle with radius r. Describe how you can substitute and simplify this equation to help solve the problem.
Mathematics
1 answer:
qaws [65]3 years ago
7 0

Answer:

9,498.5 ft²

Step-by-step explanation:

110 ft = circumference (C)

C=2r

110=2r

110/2=2r/2

55=r

Area of a circle (A) = πr²

Use 3.14 for π

A=3.14(55)²

A=3.14(3025)

A=9,498.5

The area of the garden is 9,498.5 ft²

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The difference between two numbers is 10 and their sum is 20. Find the biggest number.
marysya [2.9K]

Answer:

15

Step-by-step explanation:

x - y = 10, then x = 10 + y

x + y = 20

substitute for x:

10 + y + y = 20

2y = 10

y = 5

x = 10 + 5 = 15

8 0
3 years ago
The price p of pizza is $7.25 plus $0.70 for each t topping on the pizza write a function rule that represents the situation
IrinaK [193]

The answer is

p=7.25+0.70t

5 0
3 years ago
The lowest temperature ever recorded in Minneapolis was −41∘F . The lowest temperature ever recorded in Chicago was −27∘F . Was
Ulleksa [173]

Answer:

-14

Chicago was warmer :)

8 0
3 years ago
These two rectangles are similar. Which is a correct proportion for corresponding sides?
Keith_Richards [23]

Answer:

option (2) is correct.

\frac{4}{8}=\frac{12}{x}

Step-by-step explanation:

Given two similar rectangles and with dimension of sides,

we have to choose the correct proportion for corresponding sides.

Since, the rectangles given are similar rectangles.

So, the corresponding sides are in same proportion in case of similar figures,

So,  

\frac{4}{8}=\frac{12}{x}

Thus, option (2) is correct.


7 0
3 years ago
Read 2 more answers
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
Lapatulllka [165]

Answer:

Step-by-step explanation:

Given that there is a function of x,

f(x) = 2sin x + 2cos x,0\leq x\leq 2\pi

Let us find first and second derivative for f(x)

f'(x) = 2cosx -2sinx\\f"(x) = -2sinx-2cosx

When f'(x) =0 we have tanx = 1 and hence

a) f'(x) >0 for I and III quadrant

Hence increasing in (0, \pi/2) U(\pi,3\pi/2)\\

and decreasing in (\pi/2, \pi)U(3\pi/2,2\pi)

x=\frac{\pi}{4}, \frac{3\pi}{4}

f"(\pi/4)

Hence f has a maxima at x = pi/4 and minima at x = 3pi/4

b) Maximum value = 2sin \pi/4+2cos \pi/4 =2\sqrt{2}

Minimum value = 2sin 3\pi/4+2cos 3\pi/4 =-2\sqrt{2}

c)

f"(x) =0 gives tanx =-1

x= 3\pi/4, 7\pi/4

are points of inflection.

concave up in (3pi/4,7pi/4)

and concave down in (0,3pi/4)U(7pi/4,2pi)

3 0
3 years ago
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