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3 years ago

Find the area of the polygon

Mathematics

1 answer:

Dahasolnce [82]3 years ago

8 0

Answer:

Step-by-step explanation:

The given polygon is a pentagon. The apotherm is the perpendicular line from the midpoint of the pentagon to the base of one of its sides.

The formula for determining the area of a regular polygon is expressed as

Area = a² × n × tan 180/n

Where n represents the number of sides of the polygon.

n = 5

Apotherm = 6.5

Therefore,

Area = 6.5² × 5 × tan(180/5)

Area = 211.25 × tan 36

Area = 153.5

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Solve Quantity x plus 6 end quantity over 2x is equal to three-fourths. Show all work.

Jet001 [13]

The expression described is translated into the following formula:

$\frac{x+6}{2x} = \frac{3}{4}$

Note that this implies that $x \neq 0$

Cross-multiply denominators to get rid of the fractions:

$4(x+6) = 3(2x)$

Expand both sides:

$4x+24 = 6x$

Subtract 4x from both sides:

$24 = 6x - 4x = 2x$

Divide both sides by 2:

$12 = x$

Check:

$\frac{12+6}{24} = \frac{18}{24} = \frac{3}{4}$

Which is true because

$18 \cdot 4= 24\cdot 3$

since both sides evaluate to 72

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3 years ago

Which graph is a function of X

pochemuha

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

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3 years ago

One month Sam rented 3 movies and 8 video games for a total of $55 . The next month he rented 5 movies and 2 video games for a t

coldgirl [10]

Answer:

Step-by-step explanation:

You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.

The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:

3M + 8V = 55

The second month: 5 movies, 2 video games, $18. Translated:

5M + 2V = 18

Solve that system of equations

5 0

3 years ago

Kai buys 6 fiction books and 4 nonfiction books. What is the ratio of fiction books to nonfiction books? a 3 : 10 b 2 : 10 c 2 :

Alisiya [41]

I think it is d - 3 : 2

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3 years ago

Read 2 more answers

Tell me what to put in each group.

erastova [34]

Answer:

{-6 , 7 , 1} {9 , -3 , -4} {5 , -8 , 4} --- 2, 2, 1

Step-by-step explanation:

Number 1: {-6 , 7 , 1} {9 , -3 , -4} {5 , -8 , 4} --- 2, 2, 1

Number 2: {-6 , -3 , 9} {4 , 7 , -8} {5 , 1 , -4} --- 0, 3, 2

Number 2: {-4 , 5 , 1} {7 , 4 , -8} {-6 , -3 , 9} --- 2, 3, 0

4 0

3 years ago