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Korvikt [17]
3 years ago
7

A square is circumscribed about a circle with an 8-inch radius, as shown below. What is the area, in square inches, of the regio

n that is inside the square but outside the circle?
Choices:
16 − 64π

256−8π

64 −16 π

256 −64π

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Answer:

Option 4. 256 - 64π is the correct option.

Step-by-step explanation:

In the given picture a square is circumscribed about a circle with a side = 2r

where r is the radius of the circle.

Therefore area of the square = (2r)² = 4r² = 4 × 8² = 4 × 64 = 256 in²

Now area of the circle = πr² = π × 8² = 64π in²

Now area of region that is inside the square and outside the circle =

Area of square - area of circle = (256 - 64π) in².

Therefore the answer is (256 - 64π).

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How do I work this out oof
kakasveta [241]

I am so sorry for giving you the wrong answer at first.

Here's the processs

1x=-0.5555

Move the decimal point in the repeating decimal one space forward

10x=-5.55555

Then subtract

10x=5.5555

x=-0.5555= 9x=-5

Divide both sides by 9

9x=-5

9x/9=-5/9

-5/9 is your final answer!

Hope this helps!

7 0
3 years ago
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DedPeter [7]
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First you -4 from x so you have to do the opposite which is to add 4
5 0
2 years ago
Solve log (x + 1) = –x2 + 10 by graphing
Anit [1.1K]
 Your answer would be x = 3.0645

CHECK
log (3.0645 + 1) ?=? -(3.0645)2 + 10
log 4.0645 ?=? -9.3912 + 10
0.609 ?=? 0.609

Hope this helps!

So in short your answer is x = 3.0645
3 0
3 years ago
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38 1/4 as a decimal.....
Maurinko [17]
38 1/4 as a decimal would be 38.25 because 1/4 is 0.25 add 38 to that would be 38.25
6 0
3 years ago
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ou watch a roulette wheel spin 3 consecutive times and each time the ball lands in a red slot. What is the | probability that th
spayn [35]

Answer:

The probability is \frac{18}{38}=0.4736

Step-by-step explanation:

The game of roulette wheel consists in spinning a wheel with 38 slots : 18 red, 18 black and 2 green.

If we suppose that the roulette is a fair roulette, then each slot has an equal chance of capturing the ball and given that the ball lands in a red, black or green slot this event doesn't give us information about the following spin. Meaning that exists independence between each spin of the roulette wheel.

In our exercise, we spin the roulette wheel 3 consecutive times and each time the ball lands in a red slot. This doesn't give us information about the fourth spin (because of the independence).

Given that each slot has an equal chance of capturing the ball we can calculate the probability of the ball landing on a red slot on the next spin as :

P(Red)=\frac{18}{38}=0.4736

We divide the favourable cases (18 red slots) by the total cases (38 slots) in order to calculate the probability.

The probability is \frac{18}{38}=0.4736

6 0
2 years ago
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