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vladimir1956 [14]
3 years ago
10

What is the area of the semi circle?

Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0

Answer:6.28 ft^2

Step-by-step explanation:

Diameter=4

Radius=diameter ➗ 2

Radius=4 ➗ 2

Radius=2

Area of semicircle=0.5xπx(radius)x(radius)

Area of semicircle=0.5x3.14x2x2

Area of semicircle=6.28 ft^2

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What is the following difference 11 sqrt 45 - 4 sqrt 5
vampirchik [111]

Answer:

29*sqrt(5)

Step-by-step explanation:

Start with sqrt (45). You must reduce it to it's prime factors.

45: 9 * 5            9 is not prime so reduce it.

45: 3 * 3 * 5  

When you write √45, you should replace it with √(3*3*5)

The rule is

Rule: when you have a pair of equal prime factors under a root sign, you can take one out and throw one away.

Rule 2: If there are an odd number of equal primes one of them will be left underneath the root sign.

√45 = 3√5

11sqrt(45) - 4 sqrt(5)              Substitute for 45

11*3*sqrt(5) - 4sqrt(5)            Take out sqrt(5) using the distributive property.

(11*3 - 4)*sqrt(5)                      Combine 11 * 3  

(33- 4) * sqrt(5)                       Do the subtraction

29 * sqrt(5)                             Answer

6 0
3 years ago
Read 2 more answers
Find the volume of the sphere that has a surface area of 720 in2. Round your answer to the nearest tenth.
Misha Larkins [42]

9514 1404 393

Answer:

  1816.7 in³ ≈ 29,769.6 cm³

Step-by-step explanation:

The surface area of a sphere is given by the formula ...

  A = 4πr²

Then the radius is ...

  r = √(A/4π) = (1/2)√(A/π)

The volume of a sphere is given by the formula ...

  V = 4/3πr³

Using the above value of r, we find the volume to be ...

  V = (4/3)π(1/2)³(A/π)^(3/2) = 1/6√(A³/π) ≈ 1816.7 in³

__

The answer is requested in cm³. The conversion factor is (2.54 cm/(1 in))³, so this volume is ...

  (1816.7 in³)·(2.54 cm/(1 in))³ = 29,769.6 cm³

_____

<em>Additional comment</em>

We suspect an error in the problem statement, as the given units are square inches and the requested volume is in cubic centimeters. Usually, there would be an explicit statement regarding the necessity for units conversion.

7 0
3 years ago
When the Defense Department ordered 132 new airplanes, the cost per plane was estimated to be $580 million. A cut in the order t
aliina [53]

Answer:

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

Step-by-step explanation:

Assuming the following options we analyze one by one to select the correct one

A. A move to minimum efficient scale

By definition the minimum efficient scale (MES) or efficient scale of production is "the lowest point where the plant can produce such that its long run average costs are minimized" but thats not the case since the department order new planes and the costs are not minimized .

B. The law of diminishing returns

The law of diminishing marginal returns says that "at some point, adding an additional factor of production results in smaller increases in output" but that's not the case since we don't have smaller increases in output.

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

D. An increase in fixed cost

That's False since on this case we don't have a fixed cost, the cost on this case depend on the size of the order.

4 0
3 years ago
Evaluate each expression for the given values of the variable
garri49 [273]
4-(5[-1])+4=13 you must use order of operations even here
7 0
3 years ago
Solve for u. Enter your answer in the answer box and then click Check Answer.
Lunna [17]

Given that:

G=\frac{d}{1-u}

- we cross multiply as follows:

G\times(1-u)=d

- we divide both sides by G, as follows:

\begin{gathered} \frac{G\times(1-u)}{G}=\frac{d}{G} \\  \end{gathered}1-u=\frac{d}{G}

- Subtract 1 from both sides of the equation:

1-u-1=\frac{d}{G}-1-u=\frac{d}{G}-1

- multiply both sides of the equation by -1, as follows:

-u\times-1=(\frac{d}{G}-1)\times-1u=-\frac{d}{G}+1

Therefore, we have that:

u=1-\frac{d}{G}

or:

u=\frac{G-d}{G}

6 0
1 year ago
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