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Reil [10]
3 years ago
15

A mailbox that is 36 inches tall is beside a tree.The length of the mailboxes shadow is 28 inches.The length of the trees shadow

is 98 inches.How tall is the tree in feet.
Mathematics
1 answer:
mixer [17]3 years ago
3 0

Answer:

10.5 feet

Step-by-step explanation:

In this problem, we have two similar triangles:

- One consists of the mailbox, its shadow and the hypothenuse

- The other one consists of the tree, its shadow and the hypothenuse

The two triangles are similar, so they have same proportions between their sides: therefore, we can apply the rule of three:

\frac{m}{s_m}=\frac{t}{s_t}

where

m = 36 in is the height of the mailbox

s_m=28 in is the shadow of the mailbox

t is the height of the tree

s_t=98 in is the length of the shadow of the tree

Solving for t, we find the height of the tree:

t=\frac{m\cdot s_t}{s_m}=\frac{(36)(98)}{28}=126 in

And since

1 feet = 12 inches

The height of the tree in feet is

t=\frac{126}{12}=10.5 ft

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love history [14]
<h3>Answer is 1.5 square meters</h3>

=================================================

Work Shown:

The portion of the fabric that is laying across the ground is 2 meters. The portion of the fabric from the ground to the highest point (along the fabric's edge) is 1.5 meters, half of that is 0.75 meters and this is the length of the shadow. We can see this by forming a 30-60-90 triangle. The hypotenuse is 1.5 meters, the short leg is 0.75 meters. The short leg is always half of the hypotenuse of any 30-60-90 triangle, and the short leg is opposite the 30 degree angle.

So this shadow has length of 2 meters and 0.75 meters, making its area be 0.75*2 = 1.5 square meters when the sun is directly overhead at 12 noon

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3 years ago
Multiply: (5x − 2)(4x2 − 3x − 2)
Alex Ar [27]
Hello there!

(5x - 2)(4x² - 3x - 2)

Use the distributive property

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= 20x³ - 15x² - 10x - 8x² + 6x + 4

= 20x³ - 23x² -4x + 4


As always, it is my pleasure to help students like you. Let me know if you have any questions.
3 0
2 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

200/2=100(50%)

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