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Anastasy [175]
3 years ago
9

(I screenshot the question and choices) (plsss help me solve this <3 )

Mathematics
1 answer:
slava [35]3 years ago
4 0
Ok, the formula to find the area of a regular polygon is...

A = 1/2 nsr

In this equation...

n = number of sides
s= side length
r = apothem (radius of the inscribed circle)

To find the area, we must first find the apothem. The apothem is the radius of the inscribed circle (draw a line from the center of the figure to the center of one of the sides). If you draw the apothem in to the figure, it creates a right triangle with a hypotenuse of 13.07 in and one side length of 5 in (1/2 of the figure's side length). Now we can find the apothem with the formula

a^2 + b^2 = c^2
a^2 = c^2 - b^2
a^2 = 13.07^2 - 5^2
a^2 = 170.8249 - 25
a^2 = 145.8249
a = 12.076

Now we have the value for the apothem and we can plug it into the area formula...

A = 1/2 nsr
(recall that n = number of sides; s= side length; r= apothem)

A = 1/2(8×10×12.076)
A = 40×12.076
A= 483.04 in^2

Rounded to the nearest tenth would be...

483.0 in^2
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Leya [2.2K]
The answer to this question is 0.527
3 0
3 years ago
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A grade has 81 girls and 72 boys. the grade is split into groups that have the same ratio of girls to boys as the whole grade. h
Arturiano [62]

Answer:

<u>There are 18 girls in a group that has 16 boys.</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Number of girls in the grade = 81

Number of the boys in the grade = 72

Number of students in the grade = 81 + 72 = 153

2. Let's find the number of girls in a group that has 16 boys.

For getting that number we will use the Rule of three simple, this way:

Number of girls in a group that has 16 boys = (81 * 16)/72

Number of girls in a group that has 16 boys = 1,296 / 72

<u>Number of girls in a group that has 16 boys = 18</u>

<u>There are 18 girls in a group that has 16 boys.</u>

3 0
3 years ago
Points Pand Q lie in plane A. How many lines contain P
jeka94

Answer:

The correct answer is :

1. Line PQ (One line PQ).

Step-by-step explanation:

The first step to solve this question is to draw the plane A with the points P and Q lying on it.

We know that given two different points there is only one line that contains this two different points.

Let's analyze each option.

''2. Lines PQ and QP''

This option is wrong because there aren't two different lines. In fact it is only one line that can be named line PQ or line QP.

''3. The 2 lines PQ and QP plus another line that does not lie in plane A.''

This option is assuming that exist three lines that contain P and Q. This option is also wrong.

''1. Line PQ''

This option is correct. It will be clarify with the drawing I will attach.

''We can't name them all!''

This option is assuming that exist infinite lines that contain P and Q. This option is wrong.

In the drawing I call the line that contains P and Q as line L.

Given that P and Q lie in plane A necessarily the line L must lie on the plane A.

8 0
3 years ago
Subtract 1/6a+3 from 1/3a−5<br> PLZ HELP ASAP
lukranit [14]

Answer:

1/3a - 5 - (1/6a + 3) =

1/3a - 5 - 1/6a - 3 =

1/3a - 1/6a - 5 - 3 =

2/6a - 1/6a - 8 =

1/6a - 8 <===

Step-by-step explanation:

5 0
3 years ago
How many different arrangements can be made with ten pieces of silverware laid in a row if three are identical spoons, four are
LuckyWell [14K]

10 pieces of silverware laid in a row if 3 are identical spoons, 4 are identical forks, and 3 are identical knifes

The arrangement of 'm' objects on which 'n' objects are of same kind is \frac{m!}{n!}

Given: 10 pieces of silverware so its 10!

3 are identical spoons so its 3!

4 are identical forks so its 4!

and 3 are identical knifes so its 3!

Arrangements made = \frac{10!}{3!*4!*3!} = 4200




4 0
3 years ago
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