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3 years ago

A circular mirror has a diameter of 12 inches. What is the are of the mirror in Square inches

Mathematics

1 answer:

Valentin [98]3 years ago

6 0

Answer:

113.14 square inches

Step-by-step explanation:

Area of circle is given by $\pi r^{2}$ where r is the radius. The radius is usually half the diameter hence for this case the radius will be 0.5*12=6 inches.

Taking $\pi$ as $\frac {22}{7}$ then the area will be $\frac {22\times 6^{2}}{7}=113.14285714285714285714285714285714285714\ in^{2}\approx 113.14 in^{2}$

Therefore, rounded off to 2 decimal places the area is approximately 113.14 square inches

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Total Price: The sales tax rate is 8%. If the sales tax on a 10-speed bicycle is $12, what is the purchase price? The purchase p

stepladder [879]

Answer:

Purchase Price = $150 and Total Price = $162

Step-by-step explanation:

Purchase price = Tax Amount / Tax Percentage (as decimal)

Purchase Price = $12 / .08

Purchase Price = $150

Total Price = Purchase Price + Tax

Total Price = 150 + 12 = $162

I hope this helps!

-The Business Man

7 0

3 years ago

evelyn has $638.54 in her checking account. she must maintain a $500 balance to avoid a fee. she wrote a check for $159.50 today

Pachacha [2.7K]

The inequality is:

x + $488.04 ≥ $500

And the solution is

x ≥ $11.96

<h3>How to write and solve the inequality?</h3>

First, let's define x as the amount that she needs to deposit.

Now, we know that at the moment Evely has $638.54 in her bank account. Then she pays for $638.54, then she writes a check for $159.50, then we need to subtract that:

$638.54 - $159.50 = $488.04

Now she needs to deposit an amount x, such that her balance is at least $500, then we can write the inequality:

x + $488.04 ≥ $500

Solving that for x, we get:

x ≥ $500 - $488.04 = $11.96

She needs to deposit at least $11.96.

If you want to learn more about inequalities:

brainly.com/question/24372553

#SPJ1

4 0

2 years ago

A development economist is studying income growth in a rural area of a developing country. The last census of the population of

kykrilka [37]

Answer:

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can say that the population mean is not singificantly higher than 425.

Step-by-step explanation:

Data given and notation

$\bar X=433.75$ represent the mean height for the sample

$\sigma=\sqrt{2500}=50$ represent the population standard deviation for the sample

$n=100$ sample size

$\mu_o =425$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean height actually is higher than the mean height for men in 1960, the system of hypothesis would be:

Null hypothesis: $\mu \leq 425$

Alternative hypothesis: $\mu > 425$

Since we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{433.75-425}{\frac{50}{\sqrt{100}}}=1.75$

P-value

Since is a one right tail test the p value would be:

$p_v =P(z>1.75)=1-P(z$

Conclusion

3 0

3 years ago

Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°

Trava [24]

Given:

In triangle GHJ, ∠G = 110°, ∠J = 40° and ∠H = 30°.

To find:

The answer to complete the given statements.

Solution:

According to triangle side and angle relationship, largest angle has longest opposite side and smallest angle has shortest opposite side.

∠G = 110°, ∠J = 40° and ∠H = 30°.

Here, ∠G > ∠J = 40° and ∠G > ∠H. So, ∠G is the Largest angle.

Since angle G is largest angle, the opposite side, JH, is longest.

Clearly,

110° > 40° > 30°.

∠G > ∠J > ∠H

Using triangle side and angle relationship, we get

JH > GH > GJ

The order of the side lengths from longest to shortest is JH, GH ahd GJ.

8 0

3 years ago

Which phrase describes an unknown or changeable quantity?

deff fn [24]

You haven't put the Phrases. Comment them on this and i will answer you.

3 0

3 years ago