MULTIPLE CHOICE

Mathematics

1 answer:

alisha [4.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

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A string running from the ground to the top of a fence has an angle of elevation of 45°. The string is 10 feet long. What is the

Elza [17]

Answer: The distance between the fence and where the string is pegged to the ground is 7.07 feet.

Step-by-step explanation:

Since we have given that

Length of string = 10 feet

Angle of elevation = 45°

We need to find the distance between the fence and where the string is pegged to the ground.

We will apply "Cosine formula "

$\cos 45^\circ=\dfrac{Base}{Hypotenuse}\\\\\dfrac{1}{\sqrt{2}}=\dfrac{Base}{10}\\\\Base=\dfrac{10}{\sqrt{2}}\\\\Base=7.07\ feet$

Hence, the distance between the fence and where the string is pegged to the ground is 7.07 feet.

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What is the solution to the system of equations below?

sattari [20]

Answer:

Step-by-step explanation:

$y=-3x-9\qquad(1)\\\\y=\dfrac{1}{3}x-39\qquad(2)\\\\\text{Substitute (1) to (2)}\\\\-3x-9=\dfrac{1}{3}x-39\qquad\text{multiply both sides by 3}\\\\-9x-27=x-117\qquad\text{add 27 to both sides}\\\\-9x=x-90\qquad\text{subtract}\ x\ \text{from both sides}\\\\-10x=-90\qquad\text{divide both sides by (-10)}\\\\x=9$