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lana66690 [7]
3 years ago
9

Find the perimeter and area of the shaded region.

Mathematics
2 answers:
Korolek [52]3 years ago
7 0
Perimeter = 48
all of the sides are even, if you bring the shaded half circle back to it’s original place it will give you a length of 24 and a width of 24.
AysviL [449]3 years ago
3 0

Answer:

Area=576 cm²

Perimeter=123.4 cm

Step-by-step explanation:

We have to assume that ABCD would form a square and not a rectangle.  If so, the area is simple:  24x24=576 (Just picture the half circle sliding into the empty space - it’s the same area.)

For the perimeter, we find it for the half circle first. 1/2(2)\pi(12)=37.7

Then add the top and bottom (24 and 24) to the left and right (37.7 And 37.7)

24+24+37.7+37.7=123.4

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Answer:

x = 2.66666667

Step-by-step explanation:

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8 0
3 years ago
From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.
zzz [600]

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

By considering the given question , we have

\overline{x}= 21.69

\sigma=3.23

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Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

21.69\pm (1.96)\dfrac{3.23}{\sqrt{58}}

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=21.69\pm (1.96)(0.223221)

\approx21.69\pm0.83

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3 years ago
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Hoochie [10]

Answer:

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements.

Step-by-step explanation:

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