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Ivenika [448]
3 years ago
14

ABCDE is a regular pentagon. The apothem is 9.7 cm, and AB = 14.1 cm. Calculate the area of the pentagon. Round the answer to th

e nearest tenth.
Mathematics
1 answer:
devlian [24]3 years ago
8 0
        ABCDE is a regular pentagon which consists of 5 equal triangles.
Area of the pentagon ABCDE:
        A = 5 * 1.41 * 9.7 / 2 = 683.85 / 2 = 341.925 ≈ 341.9 cm²
       Answer: The area of the pentagon ABCDE is 341.9 cm².
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Which expression could represent the length of a rectangle that has an area equal to 4x2+12x?
grandymaker [24]

there are two expressions that can represent the length of the rectangle, these two expressions are:

L = x

or

L = (4x + 12)

<h3>Which expression could represent the length of the rectangle?</h3>

Remember that for a rectangle of length L and width W, the area is given by:

A = L*W

In this case, we know that the area is:

A = 4x^2 + 12x

We can factorize that expression into:

A = x*(4x + 12)

So there are two expressions that can represent the length of the rectangle, these two expressions are:

L = x

or

L = (4x + 12)

If you want to learn more about rectangles:

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6 0
9 months ago
Can a matrix of dimensions 2 X 4 be added to another matrix with dimensions of 2 X 6?
Rus_ich [418]

Answer:

No.

Step-by-step explanation:

It has different order of matrices .

For <em>A</em><em>d</em><em>d</em><em>i</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em>or <em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>r</em><em>a</em><em>c</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em>, both matrices must have the same number of <u>r</u><u>o</u><u>w</u><u>s</u> and <u>c</u><u>o</u><u>l</u><u>u</u><u>m</u><u>n</u><u>s</u> .

8 0
3 years ago
Which angles are vertical angles in the figure shown select two answers
lakkis [162]

Answer:I think I see where they got it from I think it’s B)2 and 3 C)5 and 8

If not then will update with correct answer

Step-by-step explanation:

7 0
3 years ago
I got paid for 8 hours of work at a victory party, but the host added 20% as my tip and gave me $120. What was my hourly wage, w
Jet001 [13]
120*0.8
96/8
12
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6 0
2 years ago
Read 2 more answers
find the standard deviation for this data set 9, 15, 13, 9, 15 round your answer to the nearest tenth
KatRina [158]

Answer:

  • 3.0

Step-by-step explanation:

Sample standard deviation is found by steps below.

<u>Find the mean:</u>

  • μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2

<u>Find deviations from the mean and their squares:</u>

  • 9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.24
  • 15 - 12.2 = 2.8 ⇒ 2.8² = 7.84
  • 13 - 12.2 = 0.8 ⇒ 0.8² = 0.64
  • 9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.24
  • 15 - 12.2 = 2.8 ⇒ 2.8² = 7.84

<u>Sum the squares:</u>

  • 10.24*2 + 7.84*2 + 0.64 = 36.8

<u>Divide by N - 1 (N - number of samples):</u>

  • 36.8/(5 - 1) = 9.2

<u>Square root is the sample standard deviation:</u>

  • σ = √9.2 = 3.0 (rounded)
7 0
2 years ago
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