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Nina [5.8K]
2 years ago
6

The length of the rectangle is 5/6 of inches and the width of the rectangle is 2/15 of inches. What is the area of the rectangle

?​
Mathematics
1 answer:
Inga [223]2 years ago
4 0

Answer:

W = X in.

L = (3x - 6) in.

A = L*W = (3x-6)X = 45,

3x^2 - 6x = 45

3x(x-2) = 45,

x(x-2) = 15,

x^2 - 2x - 15 = 0

(x-5)(x+3) = 0,

x-5 = 0,

x = 5 in.

x+3 = 0,

x = -3.

Solution Set: x = 5, and x = -3.

Select + value of X:

x = 5

W = x = 5 in.

L = 3x-6 = 3*5 - 6 = 9 in.

Step-by-step explanation:

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Step-by-step explanation:

the rule is if its .5 or higher than you round up. since the decimal in 2.664 is .664, you'd round up to make 3

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professor190 [17]
Let the number be n.

Then:

n^2 + (1/n)^2 = 82/9; find n.  Find the LCD; it is 9n^2.

Mult all 3 terms by 9n^2:
                                                                  82*9n^2
9n^4 + 9 = (82/9)(9n^2)  =>    9n^4 + 9 = ------------  
                                                                        9
Then 9n^4 - 82n^2 + 9 = 0

I used my graphing calculator to find that n = 3.  

Let's check:     is 3^2 + (1/3)^2 = 82/9?
                        Is   9   + 1/9 = 82/9?
                        Is  81 + 1 = 82?   YES.  So, n=3 is a solution.

7 0
3 years ago
Cody has 7/8 pound of cheese. he uses 1/7 since there are 16 ounces in a pound how much is left
bagirrra123 [75]
Step One
Find the fraction left.
Starting amount = 7/8 pound
Used amount = 1/7 of a pound.

The common denominator of these two fractions is 8 * 7 = 56

Amount left = amount started with - amount used
Amount left = 7/8 - 1/7
Amount left = \frac{7 *7 }{8 * 7} -  \frac{1 * 8}{7 * 8}
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Step Two
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8 0
3 years ago
Please answer it now in two minutes
Pepsi [2]

Answer:

m∠C = 90°

Step-by-step explanation:

Triangle BDC is a right triangle with the measure of angle D = 90°

By applying Cosine rule in the given triangle,

Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)

CosC = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

CosC = \frac{\text{DC}}{\text{BC}}

CosC = \frac{7}{8}

C=\text{Cos}^{-1}(\frac{7}{8})

C = 28.955

C = 29°

Therefore, m∠C = 29° will be the answer.

4 0
3 years ago
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