A remote-controlled plane is flying 16.5 meters above the ground. The plane dives 8 meters

The area of a circle is 100 π.what is the lenght of the side of a tegular hexagon inscribed in a circle.

yawa3891 [41]

This logic, geometric logic at that.

First find the radius of the circle.

$area = \pi {r}^{2} \\$
We find the radius by a little algebraic manipulation.

$area = \pi {r}^{2} \\ \sqrt{ \frac{area}{\pi} } = r \\ \sqrt{ \frac{100\pi}{\pi} } = r \\ radius = 10$

Answer:

The height of the hexagon is 10 units (whatever the units are, every measurement needs units). All the sides of a polygon are equal, and it's a regular hexagon, which is a polygon. It's simple thinking, mostly people get into trouble when they over think it

8 0

3 years ago

Find the area of abc. round your answer to the nearest tenth. b=87, a = 10.1, c = 9.8

Advocard [28]

The area of the triangle can be calculated through the equation,
A = sqrt ((s)(s - a)(s - b)(s - c))
where A is area, s is the semiperimeter ((a + b + c)/2), a, b, and c are the sides given above.

The presented equation above is the Heron's formula.

Substituting the known values,
s = (8.7 + 10.1 + 9.8) / 2
s = 14.3

A = sqrt ((14.3)(14.3 - 8.7)(14.3 - 10.1)(14.3 - 9.8))
<em>A = 38.9 units squared

</em>Thus, the answer to this item is not among the choices. <em>
</em>

8 0

3 years ago

A construction company plans to invest in a building project. There is a 30% chance that the company will lose $30,000, a 40% ch

Gnom [1K]

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

30% chance that the company will lose $30000.

40% chance of a break even that there is no loss and no profit.

30% chance that the company will profit $ 60000.

As we know the formula for "Expectation":

So, Expected value will be

$\frac{30}{100}\times (-30000)+\frac{40}{100}\times 0+\frac{30}{100}\times 60000\\\\=03\times (-30000)+0.4\times 0+0.3\times 60000\\\\=-9000+18000\\\\=\$9000$

Expected value is $9000. So, the company should proceed with the project.

Hence, Option 'A' is correct.

4 0

2 years ago

Please show me how you got the answer. Will give brainliest.

umka21 [38]

Answer: 410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

<h2>What is a proportion?</h2>

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

<h2 /><h3>Given</h3>

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

<h3>Find the points needed for an 'A' at 90%</h3>

Points to get an 'A' = your points + 8

= 361 + 8

= 369

<h3>State variables</h3>

let <em>x</em> be the amount of possible points

<h3 /><h3>Write a proportion</h3>

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

$\displaystyle{\frac{90}{100}=\frac{369}{x}}$