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Ierofanga [76]
1 year ago
8

What is the length of the apothem of the regular pentagon shown below? Round to one decimal place

Mathematics
1 answer:
DerKrebs [107]1 year ago
7 0

Answer:

A

Step-by-step explanation:

Draw a diagonal line connecting the centre to a vertex at the bottom. This makes a triangle. It is a regular pentagon so the base of that triangle is 7.6 / 2, which is 3.8. You also know that the angle from the apothem to the base is 90 degrees. You also know that you could split the centre angle into 5 triangles. 360 / 5 = 72 and we have half of it so it is 36 degrees.

Let's see what we have so far:

The base of the triangle is 3.8

The angle at the bottom is 90

The angle at the top is 36

We now have the tan and the opposite and we need the adjacent so rearrange for adjacent.

This gives you adjacent = opposite / tan(angle)

adjacent = 3.8 / tan(36)

adjacent = 5.2m

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What is 56.23 × 104 in standard form?
aleksklad [387]

Answer:

5.23×10^5

Step-by-step explanation:

You mean 56.23×10^4?

That would be 5.623×10×10^4, or 5.23×10^5

4 0
2 years ago
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There are 900 toothpicks in a​ regular-sized box. If a jumbo box is made by tripling all the dimensions of the​ regular-sized bo
Colt1911 [192]

When you triple the height of the box, it can hold (900 x 3) = 2,700 pieces.

Then triple its length, and it can hold (2,700 x 3) = 8,100 pieces.

Then triple its width, and it can hold (8,100 x 3) = 24,300 pieces.

When you triple the dimensions of a 3D object, it has 27 times its original volume.  (900 x 27) = 24,300 .

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3 years ago
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Find the equation of a line, in slope intercept form of a line that passes through the point (9,2) and is parallel to the line 2
Roman55 [17]

Answer:

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Step-by-step explanation:

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Im pretty sure this is the answer

5 0
2 years ago
Help me please pass math
GREYUIT [131]

Answer:

Step-by-step explanation:

This question is a bit sloppy. In higher math courses it would not be permitted. I'll give you the general rule that applies to this question -- sort of.

If you have a triangle that hast angles of 100 50 and 30

The largest side will be opposite the 100 degree angle.

The smallest side will be opposite the 30 degree angle.

So for the question, you are intended to say that CD > AB because CD is opposite a 43 degree angle and AB is opposite a 40 degree angle.

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7 0
3 years ago
Subtract. 5x^2-5x+1-(2x^2+9x-6)
Talja [164]
<h2>Hello!</h2>

The answer is:

3x^{2} -14x+7

<h2>Why?</h2>

To solve the problem we need to add/subtract like terms. We need to remember that like terms are the terms that share the same variable and the same exponent.

For example, we have:

x^{2} +2x+3x=x^{2} +(2x+3x)=x^{2}+5x

We have that we were able to add just the terms that were sharing the same variable and exponenr (x for this case).

So, we are given the expression:

5x^2-5x+1-(2x^2+9x-6)=5x^{2}-2x^{2}-5x-9x+1-(-6)\\\\(5x^{2}-2x^{2})+(-5x-9x)+(1-(-6))=3x^{2}-14x+7

Hence, the answer is:

3x^{2} -14x+7

Have a nice day!

4 0
3 years ago
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