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SSSSS [86.1K]
3 years ago
9

Calculate the area of the regular pentagon below:

Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0
Assuming the vertex of the triangle shown is the center of the pentagon, and the line segment shown is an altitude of the triangle:

If we join the center of (the circumscribed circle and of) the pentagon to the 5 vertices, 5 isosceles triangles are formed, all congruent to the one shown in the figure. It is clear that these triangles are congruent, so to find the area of the pentagon, we find the area of one of these triangles and multiply by 5.

The base of the triangle is 22.3 in, and the height is 15.4 ins, thus the area of the pentagon is:

5(Area triangle)=5*[(22.3*15.4)/2]=<span>858.55 (square inches).


Answer: </span>858.55 (square inches).
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31.8 miles/hr= ? Feet/sec
PSYCHO15rus [73]
1 mi = 5280 ft
1 h = 3600 s

therefore:

31.8\ \dfrac{mi}{h}=31.8\cdot\dfrac{5280}{3600}\ \dfrac{ft}{s}=46.64\ \dfrac{ft}{s}

Answer: 31.8 mi/h = 46.64 ft/s
6 0
3 years ago
I dont Know what to put here <br> But Anwer Pls
g100num [7]

Answer:

12

Step-by-step explanation:

So, the 24cm, is the diameter, a little circle autonomy here, the diameter is the length across the circle, and the radius is to the mid point, or half-way point, which means that the radius is half the diameter, so, 24 ÷ 2 = 12

hope this helps:)

5 0
3 years ago
Help! I have solving systems of equations using substitution, and sometimes I have equations like this:
timurjin [86]
For systems of equations try using graphing, substitution, and elimination. For example
{2x+7y=3}
{x=-4y}
You should first look at if you have a variable that can be substituted (using substitution) and in this case we do! you plug in the x into 2x meaning 2(-4y)+7y=3
1) distribute -8y+7y=3
2) combine like terms in this case -8y+7y= -1y
3) solve -1y=3
y=-3
so currently our solution is (0,-3)
now we solve for x.
we plug our solved variable (y) into 7y
7(-3) and our equation looks like this
2x+7(-3)=3
1) distribute 7(-3)=-21
2) rewrite then solve 2x+(-21)=3
3) isolate variable -21+21 & 3+21
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8 0
3 years ago
What is the sales tax on $8.50 purchase of the sales-tax rate is 6 1/2%?
tester [92]

Answer:

$

8.50

×

0.065

=

$

0.5525

cents rounded to  

$

0.55

or  

55

cents.

Explanation:

The sales tax rate is usually a percentage (assumed here).  

6.5

percent equals  

0.065

(percent means "per 100" so is divided by  

100

).

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
Elanso [62]
DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?

-4x - 7y = 14
5 0
2 years ago
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