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3 years ago

6

A regular pentagon has an apothem of 7.3 inches and a perimeter of 53 inches. What is the area of the pentagon? Round your answe

r to the nearest WHOLE NUMBER. Remember if your number is .5 or higher, you round up. If it is less than .5, round down. *

1 answer:

Pavel [41]3 years ago

6 0

Answer:193

Step-by-step explanation:Area = 1/2(apothem)(perimeter)

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Andre45 [30]

Answer:

$a_n=-3(3)^{n-1}$ ; {-3,-9, -27,- 81, -243, ...}

$a_n=-3(-3)^{n-1}$ ; {-3, 9,-27, 81, -243, ...}

$a_n=3(\frac{1}{2})^{n-1}$ ; {3, 1.5, 0.75, 0.375, 0.1875, ...}

$a_n=243(\frac{1}{3})^{n-1}$ ; {243, 81, 27, 9, 3, ...}

Step-by-step explanation:

The first explicit equation is

$a_n=-3(3)^{n-1}$

At n=1,

$a_1=-3(3)^{1-1}=-3$

At n=2,

$a_2=-3(3)^{2-1}=-9$

At n=3,

$a_3=-3(3)^{3-1}=-27$

Therefore, the geometric sequence is {-3,-9, -27,- 81, -243, ...}.

The second explicit equation is

$a_n=-3(-3)^{n-1}$

At n=1,

$a_1=-3(-3)^{1-1}=-3$

At n=2,

$a_2=-3(-3)^{2-1}=9$

At n=3,

$a_3=-3(-3)^{3-1}=-27$

Therefore, the geometric sequence is {-3, 9,-27, 81, -243, ...}.

The third explicit equation is

$a_n=3(\frac{1}{2})^{n-1}$

At n=1,

$a_1=3(\frac{1}{2})^{1-1}=3$

At n=2,

$a_2=3(\frac{1}{2})^{2-1}=1.5$

At n=3,

$a_3=3(\frac{1}{2})^{3-1}=0.75$

Therefore, the geometric sequence is {3, 1.5, 0.75, 0.375, 0.1875, ...}.

The fourth explicit equation is

$a_n=243(\frac{1}{3})^{n-1}$

At n=1,

$a_1=243(\frac{1}{3})^{1-1}=243$

At n=2,

$a_2=243(\frac{1}{3})^{2-1}=81$

At n=3,

$a_3=243(\frac{1}{3})^{3-1}=27$

Therefore, the geometric sequence is {243, 81, 27, 9, 3, ...}.

6 0

3 years ago

Which of the following are irrational numbers? Select all that apply. [Look at the photo to see the answer choices.]

AlexFokin [52]

The answers are b., d., and e.

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3 years ago

Why is it helpful to find different representations of the same number?

Paul [167]

Looking at a number in different ways can help understand it’s application better. For example, giving an answer with radicals(square roots) is precise, but it’s not practical because you really don’t know what that number means.

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3 years ago

Evaluate the function g(t)=3/2t - 5/2 , when t=5

Margaret [11]

G(5) = (3/10) - (5/2)
g(5) = (3/10) - (25/10)
g(5) = -22/10
g(5) = -2 1/5

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3 years ago

Fernando bought 8 pints of milk. How many fluid ounces of milk did he buy?

ipn [44]

1 pint = 16 fluid ounces.

Multiply number of pints by 16 to find total ounces:

8 x 16 = 128 fluid ounces.

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3 years ago

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