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Maurinko [17]
2 years ago
7

If the area of a circle is 121pie square units, what is the diameter

Mathematics
1 answer:
velikii [3]2 years ago
4 0
Since you are given the area, we can solve for radius with this equation:
A_c = \pi r^2
r = \sqrt{ \frac{A_c}{ \pi } } = \sqrt{ \frac{121 \pi }{ \pi } } = \sqrt{121} = 11

The radius is 11, so the diameter must be 2 times that, which is 22. With the correct units, the answer is 22 units²
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What is the answer to -26-(-49)?
Radda [10]

Answer:

23

Step-by-step explanation:

-26-(-49)=-26+49=23

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2 years ago
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Tamar has four more quarters than dimes. If he has a total of $1.70, how many quarters
erma4kov [3.2K]
<h3>Answers:</h3><h3>6 quarters</h3><h3>2 dimes</h3>

================================================

Work Shown:

d = number of dimes

q = number of quarters

q = d+4 since she has 4 more quarters than dimes

$1.70 = 170 cents

10d = value of all the dimes in cents

25q = value of all the quarters in cents

10d+25q = total value of all the coins in cents

10d+25q = 170

10d+25( q ) = 170

10d+25( d+4 ) = 170 .... plug in q = d+4

10d+25d+100 = 170 .... distribute

35d+100 = 170

35d = 170-100 ..... subtract 100 from both sides

35d = 70

d = 70/35 ... divide both sides by 35

d = 2

He has 2 dimes

q = d+4

q = 2+4

q = 6

He also has 6 quarters

------------------

Check:

1 dime = 10 cents

2 dimes = 20 cents ..... multiply both sides by 2

1 quarter = 25 cents

6 quarters = 150 cents ..... multiply both sides by 6

(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents

This confirms the answers.

5 0
2 years ago
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
xxMikexx [17]
If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.

Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y

Solving for y in the second equation:
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Rearranging the first equation and substituting y
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Therefore, the boat traveled 458.81 ft before it stopped.
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2 years ago
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ELEN [110]

Answer:

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x = -3/2, or x = 4. I hope this helps

Step-by-step explanation:

5 0
3 years ago
2.<br> A line goes through the points (0, 10) and (-1, 1).<br> 2a<br> What is the slope of the line?
sashaice [31]

Answer:

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6 0
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