153000 in standard form?

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: $\frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3}$ square units

(22)

Similar to (21)

Area = $216\sqrt{3}$ square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

$altitude=\frac{\sqrt{3}}{2}*side$

$side = \frac{36}{\sqrt{3}}$

Hence, area of the hexagon will be: $648\sqrt{3}$ square units

(24)

Given is the inradius of an equilateral triangle.

$Inradius = \frac{\sqrt{3}}{6}*side$

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = $\frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3}$ square units

4 0

2 years ago

On a piece of paper, use a protractor to construct right triangle ABC with AB=3 in. , m∠A=90° , and m∠B=45° .

kirza4 [7]

Answer:

1. A. AC=3IN

2. D AND C

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Please answer the question .

Vsevolod [243]

Answer:

The answer is A.

Step-by-step explanation:

I'm very sorry if this is wrong but A would make the most sense. the formula y=mx+b. m is the slope, and b is the y-intercept so A is the most reasonable.

If this helped you I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

3 0

2 years ago

The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independ

Alexandra [31]

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to $5C_{5}(0.55)^{5} (1-0.55)^{0}$

=1(0.0503) $(0.45)^{0}$

=1*0.0503*1

=0.0503

Hence the probability that all the five households will have pets is equal to 0.0503.

Learn more about probability at brainly.com/question/24756209

#SPJ4

6 0

9 months ago

0.15(y-0.2)=2-0.5(1-y)

Rzqust [24]

Answer:25

Step-by-step explanation:

it 25 bc if u add them and then subtract then u get 25

8 0

2 years ago