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3 years ago

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The Sun hits a 30 foot flagpole at a 60° angle and casts an unobstructed 52 foot shadow. If a building is built 32 feet away, wh

at height will the shadow strike the side of the building? (round to nearest tenth) A) 11.0 ft B) 11.5 ft C) 12.2 ft D) 12.5 ft

1 answer:

liraira [26]3 years ago

5 0

What are they asking you for specifically

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Factor 8x^3y + 38x^2y - 10xy

Sophie [7]

Answer:

2xy(x+5)(4x−1)

Step-by-step explanation:

1 Find the Greatest Common Factor (GCF).

GCF = 2xy

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)

3 Simplify each term in parentheses.

2xy(4x^2 +19x−5)

4 Split the second term in 4x^2+19x-5 into two terms.

2xy(4x^2 +20x−x−5)

5 Factor out common terms in the first two terms, then in the last two terms.

2xy(4x(x+5)−(x+5))

6 Factor out the common term x+5.

2xy(x+5)(4x−1)

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2 years ago

Find the gradient of the line segment between the points (2,-3) and (-3,-8)

Anvisha [2.4K]

Answer:

1

Step-by-step explanation:

gradient=

$\frac{ - 8 - ( - 3)}{ - 3 - 2} = \frac{ - 8 + 3}{ - 5} = \frac{ - 5}{ - 5} = 1$

8 0

3 years ago

Look at the subtraction expression below.

Oksanka [162]

A.
Because the negatives cancel each other out to make a positive

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2 years ago

How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?

djverab [1.8K]

Answer:

L = 25.959 inches

Step-by-step explanation:

Volume of first cube = 375 inch³

Volume of second cube = 648 inch³

Volume of third cube = 1029 inch³

We need to find the length of the stack of the cube shaped block.

We know that,

The volume of a cube = a³ (a is side of a cube)

$a_1=\sqrt[3]{375} \\\\=7.211\ \text{inches}$

$a_2=\sqrt[3]{648 } \\\\=8.653\ \text{inches}$

$a_3=\sqrt[3]{1029} \\\\=10.095\ \text{inches}$

Hence, the total length of the stack is :

L = 7.211 + 8.653 + 10.095

= 25.959 inches

Hence, this is the required solution.

5 0

3 years ago

Your uncle lives 20 miles away. So far, your family has driven 6 miles toward your uncle's house. How

patriot [66]

14 miles 20-6!!! Good luck

6 0

3 years ago

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