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Gnoma [55]
3 years ago
15

A rectangle has length 2x+3 and width 7x+9. Write a polynomial in standard form that represents the perimeter of the rectangle.

You MUST combine like terms.
Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

18x+21

Step-by-step explanation:

First multiply each equation by 2 since there is 2 sides for both the length and width.

2(2x+3)   2(7x+9)

4x+3         14x+18    

Then combine like terms

4x+14x       3+18

18x              21

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andrew11 [14]

Answer:

E=20H

Step-by-step explanation:

E =20 when H=1

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8 0
3 years ago
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Find the area of the shaded region. round answers to the nearest tenth. assume all inscribed polygons are regular. 29.3 units2
FromTheMoon [43]
The picture in the attached figure

we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]  

step 1
Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²

step 2
find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
 We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²

step 3
the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]  
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²

therefore

the answer is
the area of the shaded region is 44.22 units²


5 0
3 years ago
What is 5/6 of 15 in simplest form.
aksik [14]

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Step-by-step explanation:

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6 0
3 years ago
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Ymorist [56]

Answer:

No

Step-by-step explanation:

No

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