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harkovskaia [24]
3 years ago
9

A rectangle has a legnth of 12 inches less than 6 times its width. If the area of the rectangle is 3744 square inches, find the

legnth of the rectangle.
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
6 0

Length = 6x - 12

Width = x

Area of a rectangle:

A = length x width

3744 = (x)(6x - 12)

3744 = 6x^2 - 12x

6x^2 - 12x - 3744 = 0

Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.

Width = 26 inches

Length = 6(26) - 12 = 144 inches

Hope this helps!! :)

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What is the length of the hypotenuse in the traingle shown above?
il63 [147K]

Answer:

17 yards

Step-by-step explanation:

X = √[(15^2) + (8^2)]

x = √[225 + 64]

x = √289

x = 17

8 0
3 years ago
The sum of two numbers is 136 one number is 51 what is the other number? What are the common factors of these two numbers?
Rom4ik [11]
The sum of two numbers is 136 (sum is what you get when you add two numbers together). If one of the two numbers is 51, and the other number is X, then:

X + 51 = 136

To solve for x we subtract both sides by 51.

X + 51 -51 = 136 - 51
X = 85

The other number is 85.

What are the common factors of these two numbers?
Factors are the numbers that multiply to make the product.

Factors of 51: 1, 51, 3, 17
Factors of 85: 1, 85, 5, 17
5 0
3 years ago
H=7+44t-16^2
djyliett [7]

Answer:

t_1\approx2.18

t_2\approx0.57

Step-by-step explanation:

h=7+44t-16t^2

27=7+44t-16t^2

0=-20+44t-16t^2

0=-16t^2+44t-20

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

t=\frac{-44\pm\sqrt{44^2-4(-16)(-20)}}{2(-16)}

t=\frac{-44\pm\sqrt{1936-1280}}{-32}

t=\frac{-44\pm\sqrt{656}}{-32}

t=\frac{-44\pm4\sqrt{41}}{-32}

t=\frac{11}{8}\pm\frac{\sqrt{41}}{8}

t_1\approx2.18

t_2\approx0.57

5 0
2 years ago
What is 350 over 100 in simplest form
snow_lady [41]
Well, its like this:
350/100 would be: 350 divide by 100, then you get: 3.5
So 100 times 3 is 100. so it is:
3  50/100 then it simplafies to:
<em><u>3  1/2</u></em>
(3 and one half)
3 0
3 years ago
Select the equation that represents the question.
Pani-rosa [81]

Answer:

  1. 12=0.005×w
  2. the number is 2400

Step-by-step explanation:

An appropriate representation of the problem can be had by using a variable to represent "what number" and then using the math equivalent symbols for the English words. If "what number" is represented by w, then we want to translate ...

  0.5% of w is 12 . . . . English

  0.005 × w = 12 . . . . . . . matches choice 1

__

This can be solved by multiplying by 200

  200(0.005w) = 200(12)

  w = 2400

The number is 2400.

4 0
2 years ago
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