A circular piece of metal has a radius of 3.5 meters. The metal sells for $3.25 per square meter.

What is the total cost of the circular piece of metal?

A.
$11.38

B.
$38.47

C.
$71.44

D.
$125.01

Answers

Answer 1
Answer:

Use the formula for finding the area of a circle, then multiply it by each square meter.

A = π r²
A = π (3.5)²
A = 12.25π
A = 38.485

C = 3.25(38.485)
C = 125.01

Answer = $125.01
Answer 2
Answer: Area of circle = πr²

Radius, r = 3.5m,  

Area = πr² = π*3.5*3.5 = 12.25π m²

Area ≈ 12.25 *3.141 ≈ 38.477 m²

Since the metal sells for $3.25 per square meter.

Total cost  for 38.477 m² = 38.477 * 3.25 = 125.05

Answer is = $125.05

The answer is not really there, but let's say we can manage option D which is $125.01.

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3x – 7y=9; x= -1,0, 1Solve the equation for y.

Y varies directly with X. if y = y when X= -4, find the constant of of proportionality

Answers

y = kx
6=k(-4)
6/-4 = k
-3/2 = k

Solve for x.
- 3x + 8y = 5
6x - 2y =10

Answers

Let us solve this system by substitution.

-3x + 8y = 5
6x - 2y = 10

According to equation 2,

6x - 2y = 10

6x = 10 + 2y

thus, x = 10 + 2y / 6

substituting the value of x in equation 1,

-3 ( 10 + 2y / 6) + 8y = 5

-30 - 6y + 8y = 5 x 6 = 30

-30 + 2y = 30

2y = 60

Thus, y = 30.

Substituting the value of y in equation 2,

6x - 2y = 10

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30 miles per hour.3,520 feet per minute.who runs faster and by how many miles per hour? There 5,280 feet in one mile

Answers

First let's convert 30 miles to feet. 

30 x 5,280 = 158400

Now let's find how many feet the first person runs per minute. 

158400/60 = 2640

The first person runs 2,640 feet per minute, and the second person runs 3,520 feet per minute.
Since the second person runs fast, let's find by how many miles per hour they're faster than the first person. 

3520-2640 = 880
How many miles is 880 feet?
5280/880 = 0.17

The second person runs faster by 0.17 miles per hour. 

Hope this helps! :)
Hello!

CORRECTION: "A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. "

OPTIONS: 
A: A deer is 10 miles per hour faster than a bison. 

B: A bison is 10 miles per hour faster than a deer. 

C: A deer is 0.66 miles per hour faster than a bison. 

D: A bison is 0.66 miles per hour faster than a deer.


This is what you meant right!? ^^^

I've done this Question before, so i'll Help You Then!


We 1st off, have to c
onvert the ft/min speed into miles/hour: 

3520 feet ... 1 mile ..... 60 minutes ... 3520 x 60 miles 
-------------- x ------------- x ---------------- = --------------- 
1 minute ... 5280 feet .... 1 hour .......... 5280 hours 

= (3520 * 60) / 5280 
= 40 miles/hour 

The Correct Answer Is: 
B. The bison is 10 miles per hour faster than a deer.


Hope this Helps! Have A Wonderful Day! :)

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I hope its clear. Does this help??

What is the solution to the system of equations? y=2/3x+3 x=-2

Answers

Answer:

x=-2,y=(5)/(3)

Step-by-step explanation:

The given system of equations is

y=(2)/(3)x+3...(i)\n\nx=-2...(ii)

Plugging the value of x from (ii) in equation (i) and find the value of y

y=(2)/(3)*(-2)+3\n\ny=(-4)/(3)+3\n\ny=(5)/(3)

Therefore, the solution of the system of equations is

x=-2,y=(5)/(3)

We are going to solve for x=-2, y=2/3x+3, y=2/3(-2)+3, y=5/3. Therefore, x=-2 and y=5/3

Which angle forms a vertical pair with nsm a.osl b.smn c.snm d.osn

Answers

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that  ∠NSM,

we need to find is vertical angles of ∠NSM,

1) ∠OSL is a vertical angle of ∠NSM as it has one common vertex and all other are collinear points.

2) ∠SMN can't be vertical angle as  vertical angles must be equal at common vertex but it does not do that it forms angle on M rather than on S.

3) ∠SNM can't be vertical angles as vertical angles must be equal at common vertex but it does not do that it forms angle on N rather than on S.

4) ∠OSN can't be vertical angle as vertical angles must have only one common vertex but in this case it has two common vertex i.e. S and N. so it will be linear pair.

Hence, Option 'a' is correct.