answere=-1
this is the answere and the explanation.
Your grade at the start of quarter 3 was a 68, at the end of the quarter it was a 91. What is the percent change in grade?
1 answer:
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<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.
The inequality can be:
Now you divide both sides by 150 to get the #of boxes.
Lastly, x is 20. So the maximum amount of boxes that the freight elevator can hold is 20
Now you divide both sides by 150 to get the #of boxes.
Lastly, x is 20. So the maximum amount of boxes that the freight elevator can hold is 20
Answer:
A
Step-by-step explanation:
So we have the piecewise function:
And we want to find f(8).
Since our input value is 8, choose the equation that fits our input.
The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.
The second equation demand x to e greater than or equal to 3 and less than 8. 8 is <em>not</em> less than 8. So, we won't use that.
The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.
So:
There're nothing more to do, we're done :)
The answer is A.
Edit: Improved Format