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lubasha [3.4K]
3 years ago
7

The length of a rectangle is 2 units more than the width. The area of the rectangle is 48 units. What is the width, in units, of

the rectangle?
Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0

Answer:

6 units

Step-by-step explanation:

A = lw

l = w + 2

48 = lw

48 = (w + 2)w

48 = w² + 2w

0 = w² + 2w - 48

Quadratic equation results =

w = 6 or w = -8

But the measure could not be negative, therefore w = 6

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Please find the surface area of the sphere. Round your answer to the nearest hundredth.
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Surface area = \frac{4}{3} \pi r^{3} = \frac{4}{3} x 3.14 x 3 x 3 x 3 = 3.14 x 4 x 3 x 3 = 113.04 yd^2 = approx. 113.1 yd^2

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3 years ago
Multiple choice math question.
Marrrta [24]
Y=x. I hope that this helped! Good luck! :)
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3 years ago
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If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

  • a\implies 4
  • b\implies 7
  • \gamma \implies 20^{\circ}

Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
Solve the equation -3(y-5)=24
ioda
-3(y-5) = 24...distribute through the parenthesis
-3y + 15 = 24....subtract 15 from both sides
-3y = 24 - 15
-3y = 9...divide both sides by -3
y = 9/-3
y = -3
3 0
3 years ago
Can someone help me and tell me where it’s located at I will mark u brilliant
vodomira [7]

Answer: You can do this!

Step-by-step explanation: For D. The x= -1 and the y= 1 for E same thing the x= 7 and the y= 1 so look for the 7 on the x-axes and the one on the y-axes get it. I believe that you got this!

Hope this helped love<3

8 0
2 years ago
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