<h3>
Answer: Choice C</h3>
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Work Shown:
Reference angle = P
Opposite side = QR = 8.5
Adjacent side = QP = 16
tan(angle) = opposite/adjacent
tan(P) = QR/QP
tan(P) = 8.5/16
tan(P) = 0.53125
tan(P) = 0.53
There are as many fractions equal to 4/5 as there are numbers, but here are a couple that fit:
20/25
8/10
12/15
<span>100/125
...etc. Hope that answered your question :)
</span>
Answer:

Step-by-step explanation:
The given quadratic equation is :

One of the roots of this equation is twice that of the other. Let the roots are
, 
Sum of roots, 

Product of roots,

If
,

So, the value of k is equal to
.
Answer:
1.875 feet per wire
Step-by-step explanation:
15 divided by 8 equals 1.875
The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.
<h3>The types of transformation.</h3>
In Mathematics, there are four (4) main types of transformation and these include the following:
- Dilation
- Rotation
- Reflection
- Translation
<h3>What is a translation?</h3>
In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.
In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:
Original function (x, y) → New function (x + 2, y + 5)
y = -1/3|x| → y = -1/3|x + 2| + 5
Read more on translation here: brainly.com/question/20720324
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