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3 years ago

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1. spotlight is placed 25 feet from a flag that is 20 feet high Spotlight Which expression can be used to find the angle of elev

ation needed for the spotlight to illuminate the flag ?

1 answer:

Ganezh [65]3 years ago

5 0

Answer:

Im not entirely sure this is right but

0 = tan^-1(20 ÷ 25)

0 ≈ 38.65°

hope i helped lol

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What is the solution of ?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20x-7%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B14" id="Tex

Nonamiya [84]

Combine the terms by multiplying into a single fraction.

$\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 }$

Find the common denominator.

$\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14 }$

Combine fractions with the lowest common denominator.

$\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14 }$

Multiply the numbers.

$\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14 }$

Combine the multiplied terms into a single fraction

$\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14 }$

Find the common denominator.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4} }$

Combine fractions with the lowest common denominator.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4} }$

Multiply the numbers.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4} }$

Eliminate the denominators of the fractions.

$\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4} }$

Cancel the multiplied terms that are in the denominator.

$\bf{2(5x-14)=3x+56}$

To distribute.

$\bf{10x-28=3x+56 }$

Add 28 to both sides.

$\bf{10x-28+28=3x+56+28 }$

Simplify

$\bf{10x=3x+84 }$

Subtract 3x from both sides.

$\bf{10x-3x=3x+84-3x }$

Simplify

$\bf{7x=84 }$

Divide both sides by the same factor.

$\bf{x=\dfrac{84}{7} }$

Simplify

$\bf{x=12 \ \ \ === > \ \ \ Answer}$

↓

<h3>Verification</h3>

Let x=12.

$\bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3\times12}{4}+14 }$
$\bf{30-7=\dfrac{36}{4}+14 }$
$\bf{30-7=9+14 }$
$\bf{23=9+14 }$
$\bf{23=23}$

Checked ✅

3 0

2 years ago

Help please! have a good day lol

Bumek [7]

Answer:

part A:d=5.4-3.1

Part B:t=4.9+3.1

Part C:If ted walks 5.4 kilometers,then david walks 2.3 kilometers,If david walks 4.9 kilometers,then ted walks 8 kilometers.

8 0

3 years ago

Describe parallelograms in 5 sentence

mixer [17]

Answer:

Their lines never touch. They have 2 different sides. They are like a square but differen. They always have even number.

Step-by-step explanation:

3 0

3 years ago

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You eam (4x + 12) points after completing x levels of a video game and

EastWind [94]

Answer: (4x+12) - (2x-5)

Step-by-step explanation: The (4x+12) is positive and the (2x-5) is negative.

5 0

3 years ago

WHICH EXPRESSION HAS THE SAME VALUE AS 8-(-4)?

s344n2d4d5 [400]

8 - (-4) [2 negatives become a positive]

8 + 4 = 12

A.) - 8 + 4 = -4

B.) -8 + (-4) = -12

C.) 8 + (-4) = 4

D.) 4 - (-8) = 4 + 8 = 12

Your answer is D

8 0

3 years ago

Read 2 more answers