I used Desmos to graph it but here are the coordinates used to graph it in the pictures below.
Answer:
192
Step-by-step explanation:
To find how many phones are expected to be defective, we need to represent the values in a fraction.

x = number of defective phones
Now we can solve this using algebra.
To get the value of x we need to multiply both sides by 8000 to leave x alone.



So around 192 cell phones are expected to be defective out of 8000 phones.
<h3>
Answer: 24 feet (Choice D)</h3>
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Explanation:
Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.
Focus on triangle BCD.
The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.
We know that he's 14 ft off the ground, which explains why AB = CD = 14.
The goal is to find BC = AD = x.
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Again, keep your focus on triangle BCD.
We'll use the tangent ratio to say
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(30.26) = 14/x
x*tan(30.26) = 14
x = 14/tan(30.26)
x = 23.9965714046732
That value is approximate. Make sure your calculator is in degree mode.
That value rounds to 24 feet when rounding to the nearest whole foot.
Answer:
The radius of the circle is √26.
Step-by-step explanation:
Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.
To find the distance between two points, the following equation should be used:

Replacing the numeric values:

The radius of the circle is √26.
You would do (2x+60)+6x=180... when you simplify you get 15.