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2 years ago

If a 5 ft tall man cast an 8 ft long shadow at the same time a tree cast a 24 ft long shadow, how tall is the tree?

Mathematics

2 answers:

Taya2010 [7]2 years ago

5 0

Answer:

15 feet

Step-by-step explanation:

We have 2 similar right triangles with legs height and length of shadows.

height of men : length of shadows of the man = height of tree : length of shadows of the tree

5 : 8 = x : 24

8x = 5* 24

x = 5*24/8 = 15 (feet)

erma4kov [3.2K]2 years ago

3 0

Answer:

15ft

Step-by-step explanation:

5 ft is to 8 ft

A ft is to 24 ft

A = 24*5/8

A = 15ft

15ft

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S_A_V [24]

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insens350 [35]

Answer:

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Step-by-step explanation:

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2 years ago

Factor completely y^2-xy-56x^2

olga2289 [7]

You can factor this out by thinking of the factors of 56 that have a sum of -1. 7 and 8 are factors of 56 and to get a sum of -1, 8 should be negative. 7 + -8 = -1

So $y^{2} - xy - 56x^{2}$ factored out is (y+7x)(y-8x)

We can check this using FOIL
F = (y)(y) = $y^{2}$
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) = $-56x^{2}$
$y^{2} - 8xy + 7xy - 56x^{2}$ Combine like terms
$y^{2} - xy - 56x^{2}$

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2 years ago

Read 2 more answers