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3 years ago

"1. Find the area of the regular polygon. Give the answer to the nearest tenth.

Mathematics

1 answer:

Gnom [1K]3 years ago

3 0

To answer the question being asked, we need the expression for the area of a regular pentagon. It is expressed as:

A=(1/4) (a²) (√5(5+(2√5))


A=(1/4) (6²) (√5(5+(2√5))
A = 61.94

Therefore, the correct answer from the list of choices is the third option.

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Can u guys please help me!!

Alona [7]

Answer and Step-by-step explanation:

This problem requires the use of trigonometric functions, specifically the tangent trig function.

$tan(Angle)=\frac{opposite}{adjacent}$

Plug in the values.

$tan(40) = \frac{8000}{x}$

Multiply by x to both sides, then divide by tan(40) to both sides.

$x = \frac{8000}{tan(40)}$

Now, plug this into a calculator and rounded to the nearest whole number (foot).

x = 9534.0287

x = 9534 ft.

The answer is 9534 ft., the last option.

#teamtrees #WAP (Water And Plant)

5 0

3 years ago

Strong positive strong negative weak positive weak negative

Nesterboy [21]

If you're looking for the trend name, I would say Strong Positive, or (a).

6 0

3 years ago

A survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries,

Andru [333]

Answer:

A. Null and alternative hypothesis:

$H_0: \mu_d=0\\\\H_a:\mu_d\neq 0$

B. Yes. At a significance level of 0.05, there is enough evidence to support the claim that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

P-value = 0.00002

C. As the difference is calculated as (population 1 − population 2), being population 1: groceries and population 2: dinning out, and knowing there is evidence that the true mean difference is positive, we can say that the groceries annual credit card charge is higher than dinning out annual credit card charge.

The point estimate is the sample mean difference d=$840.

The 95% confidence interval for the mean difference between the population means is (490, 1190).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

Then, the null and alternative hypothesis are:

$H_0: \mu_d=0\\\\H_a:\mu_d\neq 0$

The significance level is 0.05.

The sample has a size n=42.

The sample mean is M=840.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1123.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{1123}{\sqrt{42}}=173.2827$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{840-0}{173.2827}=\dfrac{840}{173.2827}=4.848$

The degrees of freedom for this sample size are:

$df=n-1=42-1=41$

This test is a two-tailed test, with 41 degrees of freedom and t=4.848, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=2\cdot P(t>4.848)=0.00002$

As the P-value (0.00002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

We have to calculate a 95% confidence interval for the mean difference.

The t-value for a 95% confidence interval and 41 degrees of freedom is t=2.02.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.02 \cdot 173.283=350$