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3 years ago

Question #3) 3 times of 5 feet inch=feet inches

1 answer:

6 0

I assume that you mean 3 times 5 feet means how many feet and inches

so the answer is 5 feet and blank inches

or 12 inch in 1 feet so 12 times 5=60 so 60 inches

or you may have forgotton to put a number before the first inch word like 5 feet 3 inch

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a tree casts a shadow that is 20 ft long. the angle of elevation of the sun is 29°. how tall is the tree?

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3 years ago

Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.

Rufina [12.5K]

Answer: k = -1 +/- √769

Step-by-step explanation:

48x - ky = 11

-48x -48x

-ky = -48x + 11

$\frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}$

$y =\frac{48x}{k} - \frac{11}{k}$

Slope: $\frac{48}{k}$

*************************************************************************

(k + 2)x + 16y = -19

- (k + 2)x -(k + 2)x

16y = -(k + 2)x - 19

$\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}$

$y = -\frac{(k + 2)x}{16} - \frac{19}{16}$

Slope: $-\frac{(k + 2)}{16}$

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$\frac{48}{k}$ and $-\frac{(k + 2)}{16}$ are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.

$-\frac{(k + 2)}{16}$ * $\frac{k}{48}$ = -1

$\frac{(k + 2)k}{16(48)}$ = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769

5 0

3 years ago

If it takes 1/5 cup of flour to make 1/8 of a cake, how many cups of flour are needed to make a whole cake

Alexeev081 [22]

Answer:

D.) 1 3/5

Step-by-step explanation:

You need 1/5 cups of flour 8 times so you need to multiply 1/5 by 8.

1/5 × 8 = 8/5

Then simplify.

8/5 = 5/5 + 3/5 = 1 3/5

3 0

3 years ago

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Question #3) 3 times of 5 feet inch=____feet ____ inches

Question #3) 3 times of 5 feet inch=feet inches