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Alina [70]
2 years ago
10

A 54-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60º angle with the ground. Ho

w high up the pole is the wire attached? Write your answer in simplest form.
Mathematics
1 answer:
brilliants [131]2 years ago
6 0

Answer:

22\sqrt{x} 2

Step-by-step explanation:

should be the answer if im correct

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Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ
poizon [28]
<span>Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

<u>To solve this, we divide both sides by 1.29: </u>
</span>\frac{1.29x}{1.29}<span> ≤ </span>\frac{20}{1.29}<span>;
x ≤15.5.

We <u>cannot download half of a song</u>, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.</span>
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2 years ago
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The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of
Anna35 [415]

Answer:

x = 8

Step-by-step explanation:

5 0
1 year ago
Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables and solv
mezya [45]
Vineet can conclude that:
B ) the system of equations does not have a solution.
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In △ABC,c=71, m∠B=123°, and a=65. Find b.<br><br> A. 101.5<br> B. 117.8<br> C. 123.0<br> D. 119.6
tia_tia [17]

Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that c=71, B=123°, and a=65. Plugging in the values:

b^2 = 65^2 + 71^2 - 2(65)(71)*cos(123°).

Simplifying gives:

b^2 = 14293.0182932.

Taking square root on the both sides gives b = 119.6 (rounded to the one decimal place).

This means that the Option D is the correct choice!!!

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2 years ago
Find the slope and y-intercept -2y=6(5-3x) Please show work
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Y intercept: 0,-15 or just -15
Slope: 9
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1 year ago
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