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sergeinik [125]
2 years ago
7

The length of a rectangle should be 20 meters longer than 8 times the width. If the length must be

Mathematics
1 answer:
jeka942 years ago
6 0

Answer:

The width of the rectangle lies between 12 and 20.

Step-by-step explanation:

Let the width of the rectangle is w.

length of the rectangle,

L = 8 w + 20

116 < L < 180

So,

116 < 8 w + 20 < 180

96 < 8 w < 160

12 < w < 20

So, the width of the rectangle lies between 12 and 20.

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1/2(7x-8)+2x =2-(10x+4
geniusboy [140]
<span>1/2(7x-8)+2x =2-(10x+4)
Distribute
(7x-8)/2 + 2x = 2 -10x -4
combine like terms
(7x - 8)/2 + 2x = -10x - 2
Multiply both sides by 2
7x - 8 + 4x = -20x -4
Combine like terms
11x - 8 = -20x - 4
add 8 to both sides
11x = -20x + 4
add 20x to both sides
11x + 20x = 4
combine like terms
31x = 4
divide both sides by 31
x = 4/31 or </span><span>0.129.

Hope this helps :)</span>
8 0
3 years ago
Plz help with this for brainiest
bearhunter [10]

Answer:

<C = 133 degrees

Step-by-step explanation:

<B = 90 - 43

<B = 47

<C = 180 - 47

<C = 133 degrees

8 0
3 years ago
Please help me find the area of shaded region and step by step​
Bumek [7]

Answer:

Part 1) A=60\ ft^2

Part 2) A=80\ cm^2

Part 3) A=96\ m^2

Part 4) A=144\ cm^2

Part 5) A=9\ m^2

Part 6) A=(49\pi -33)\ in^2

Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

A=bh

where

b is the base of rectangle

h is the height of rectangle

so

A=(12)(7)-(8)(3)

A=84-24

A=60\ ft^2

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

A=b^2

where

b is the length side of the square

so

A=(12)(8)-(4^2)

A=96-16

A=80\ cm^2

Part 3) we know that

The area of the shaded region is equal to the area of four rectangles plus the area of one square

so

A=4(4)(5)+(4^2)

A=80+16

A=96\ m^2

Part 4) we know that

The shaded region is equal to the area of the complete square minus the area of the interior square

so

A=(15^2)-(9^2)

A=225-81

A=144\ cm^2

Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

A=\frac{1}{2}(b)(h)

where

b is the base of triangle

h is the height of triangle

so

A=\frac{1}{2}(6)(7)-(6)(2)

A=21-12

A=9\ m^2

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

so

A=\pi (7^2)-(3)(11)

A=(49\pi -33)\ in^2

7 0
3 years ago
Find to the nearest degree, the measure of the smaller acute angle of a right triangle whose sides are 7, 24,
Semmy [17]
The smallest angle would be 16.26°, with the other angles being 90° & 73.74°
7 0
3 years ago
Question is "solve each of the following systems using SUBSTITUTION METHOD
Artyom0805 [142]
Y=3x-2
y=3(4)-2
y=12-2
y=10

I hope this helps.
8 0
3 years ago
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