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3 years ago

Finding area of a sector

Mathematics

1 answer:

katen-ka-za [31]3 years ago

3 0

The smaller sector is 360-255=105 degree
it is 105/360 portion of the whole circle, and the area of the whole circle is πr², r is 14
so the area of the smaller sector is (105/360)*π*14²
run those numbers through your calculator, use 3.14 for π, you get 179.5

if you are looking for area of the larger sector, it would be
(255/360)*π*14²=435.94

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2 years ago

A house worth $180,000 has a coinsurance clause of 75 percent. The owners insure the property for $101,250. They then have a los

Bess [88]

Answer:

$37,500

Step-by-step explanation:

We have been given that a house worth $180,000 has a coinsurance clause of 75 percent. The owners insure the property for $101,250. They then have a loss that results in a $50,000 claim.

We will use loss settlement formula to solve our given problem.

$\text{Loss settlement}=\frac{\text{Loss}\times\text{Limit of insurance}}{\text{Actual cash value}\times \text{Coinsurance}\%}$

Upon substituting our given values, we will get:

$\text{Loss settlement}=\frac{\$50,000\times\$101,250}{\$180,000\times 75\%}$

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Therefore, they will receive $37,500 from insurance.

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3 years ago

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romanna [79]

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2 years ago

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Answer:

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Step-by-step explanation:

We have to perform an hypothesis test on the mean.

The null and alternative hypothesis are:

$H_0: \mu=10\\\\H_1: \mu \neq 10$

The significance level is $\alpha=0.05$ .

The test statistic t can be calculated as:

$t=\frac{M-\mu}{s/\sqrt{N} } =\frac{11.2-10}{3.1/\sqrt{50} }=2.737$

The degrees of freedom are:

$df=N-1=50-1=49$

The P-value (two-tailed test) for t=2.737 and df=49 is P=0.00862.

This P-value (0.009) is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes.

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3 years ago

Multiply 2 3/4 x 1 1/3. Write your answer in simplest form

bagirrra123 [75]

so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.

2 3/4 * 1 1/3

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now multiply normally

= 48 / 12

divide this by 4/4 to get simplest for

= 12 / 3 divided by 3/3

= 4/1

Step-by-step explanation:

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