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netineya [11]
3 years ago
15

A landscaper is making a retaining wall to shore up the side of a hill. To ensure against collapse, the wall should make an angl

e 75° with the ground.
If the wall is 25 feet, what is the height of the hill?
Question options:

25.9 ft

6.5 ft

24.1 ft

93.3 ft
Mathematics
1 answer:
juin [17]3 years ago
7 0

Answer:

C. 24.1 ft

Step-by-step explanation:

The side of the wall making the tilt of 75° will represent the hypotenuse

The height of the wall will be represented by the side opposite to the angle 75°

Apply the relationship for sine of angle Ф

Formula to use is ;

Sin Ф=  length of opposite side÷hypotenuse

SinФ=O/H

Sin 75°=O/25

0.96592582628=O/25

O=0.96592582628×25 =24.1 ft

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enyata [817]

Answer:

Final answer is x^2.

Step-by-step explanation:

Given expression is x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}

Now we need to find about what is product of both factors.

We see that both factors are in exponent form having equal base "x".

So we can apply formula: x^m\cdot x^n=x^{\left(m+n\right)}

x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}

=x^{\left(\frac{4}{3}+\frac{2}{3}\right)}

=x^{\left(\frac{4+2}{3}\right)}

=x^{\left(\frac{6}{3}\right)}

=x^2

Hence final answer is x^2.

5 0
2 years ago
HELPPP????
kkurt [141]

Answer:

How are this equation and the equation of the line related? They both use the same variable to put it together. What does this relationship mean about any triangle created using this line? They are both put together so it would fit on the graph.

Step-by-step explanation:

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6 0
3 years ago
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Which of the following represents the area of a rectangle whose length is x − 7 and whose width is x + 12? (1 point) a.\x2+x − 8
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The answer would be A
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Blababa [14]

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6 0
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What is the simplified form of <br><br> (X/3-y/4)/(x/4+y/3) ? (6 points)
Fofino [41]

Option 2: \frac{4x-3y}{3x+4y} is the right answer

Step-by-step explanation:

Given fraction is:

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To solve the fraction, Taking LCM in denominator and numerator

=\frac{\frac{4x-3y}{12} }{\frac{3x+4y}{12}}

When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,

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Hence,

Option 2: \frac{4x-3y}{3x+4y} is the right answer

Keywords: fractions, simplification

Learn more about fractions at:

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  • brainly.com/question/4459688

#LearnwithBrainly

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