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Alexandra [31]
3 years ago
11

A formal garden at the Biltmore Estate has a large, circular fish pool with a 72-foot radius. What is the distance around the ou

tside edge of the pool?
Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer:

  452.4 ft

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr . . . where r is the radius

Filling in the given number, we find the circumference to be ...

  C = 2π(72 ft) = 144π ft ≈ 452.4 ft

The distance around the outside edge is about 452.4 feet.

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Help Me With This Question Please!
Georgia [21]

Answer:

60°

Step-by-step explanation:

x + 160° + 140° = 360°

x + 300° = 360°

x = 360° - 300°

x = 60°

8 0
3 years ago
Find m 1 and m 2 in the diagram
Marysya12 [62]
Answers:
M for 1 is: 114
M for 2 is: 34

Why?
First you need to find out what the angle is for the corner to the left of angle 1 to do so

180-135 which equals 45

then to find on you take 180 (the sun of all interior angles in a triangle equal 180) and subtract all the angles give...
180-21-45= 114 (which makes since because angle one is obtuse and so is it)
Now for angle to you need to find the corner that is next to angle 1 to do so you do...

180-114 (because angle equals 114) this equals 66

Then you do 180-66-80 to get angle 2 which equals 34

Hope this helps :D
6 0
3 years ago
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on t
Juliette [100K]

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

7 0
3 years ago
Evaluate 5+\left(-3\right)-65+(−3)−65, plus, left parenthesis, minus, 3, right parenthesis, minus, 6.
Serga [27]

The question is not well-expressed, but it looks like you want to evaluate

5 + (-3) - 65 + (-3) - 65 + (-3) - 6

Answer:

-140

Step-by-step explanation:

First of all, note the following

- Multiplying a negative number by another negative number gives a positive number.

- Multiplying a negative number by a positive number gives a negative number.

- Multiplying a positive number by a positive number gives a positive number.

- Brackets mean multiplication.

So

5 + (-3) - 65 + (-3) - 65 + (-3) - 6

= 5 - 3 - 65 - 3 - 65 - 3 - 6

= -140

7 0
3 years ago
"if f(x)=x+1/x then the set of values for which f increases is"
Anettt [7]
The solution for this problem would be:
f'(x) = 1 - 1/x^2 = (x^2 - 1)/x^2 
is positive where |x| > 1 
hence (-inf, -1) and (1, inf) are the regions in which f' is positive and therefore f is increasing.
Therefore, the answer is (-infinity,-1] U [1,infinity).
4 0
3 years ago
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