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2 years ago

Find the area of a regular hexagon with an apothem 17.3 miles long and a side 20 miles long

1 answer:

4 0

The area of a hexagon is $\frac{3 \sqrt{3} }{2} a^{2}$ where a = one side

$\frac{3 \sqrt{3} }{2} 20^{2}$

$\frac{3*200 \sqrt{3} }{2}$

$\frac{600 \sqrt{3} }{2}$

$300 \sqrt{3}$ ≈ 1038 mi²

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Write down the output y in terms of x

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Answer:

the x means 9

Step-by-step explanation:

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3 years ago

BRCA1 is a gene that has been linked to breast cancer. Researches at Stanford University wanted to estimate what proportion of w

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Answer:

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Step-by-step explanation:

The point estimate for the proportion of women with BRCA1 mutation is the number of women with this mutation divided by the size of the sample.

Of the 173, they found that 29 had BRCA1 mutations.

29/173 = 0.168

The point estimate for the proportion of women with BRCA1 mutation is 0.168

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3 years ago

Bethany is going to the county fair with a group of friends. Admission to the fair is $5. Each ride at the fair costs $1.25. If

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Answer:

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2 years ago

Read 2 more answers

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

C. y = tan(2x)

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

D. y = 1 + sin(x)

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

Based on the above, the correct answer is A

Hope this helps :)

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3 years ago

Read 2 more answers

Bella and Heather put some money in their money boxes every week. The amount of money (y) in dollars, in their money boxes after

evablogger [386]

The question is incomplete:

Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Bella: y = 25x + 60 Heather: y = 30x + 10 After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount?

10 weeks, $10

10 weeks, $310

9 weeks, $310

310 weeks, $10

Answer:

10 weeks, $310

Step-by-step explanation:

As the statement indicates, you have the following equations:

y=25x+60

y=30x+10

where:

y= the amount of money

x= the amount of time in weeks

You can equalize the expressions and isolate x to find the number of weeks after which Bella and Heather will have the same amount of money:

25x+60=30x+10

60-10=30x-25x

50=5x

x=50/5= 10

After this, you can replace the value of x in any of the equations to find the amount of money that they will have after 10 weeks:

-y=25(10)+60=310

-y=30(10)+10= 310

According to this, the answer is 10 weeks, $310.

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3 years ago