Answer:
b should be the correct one
thank you
Answer:
20 apples is 55.55% of 36 apples.
Step-by-step explanation:
Given that I had 36 apples, to determine what is the percentage of 20 of them, the following calculation must be performed:
36 = 100
20 = X
(20 x 100) / 36 = X
2000/36 = X
55.55 = X
Therefore, 20 apples is 55.55% of 36 apples.
Answer:
x% of $900=$810
x/100×$900=$810
x=$810/9=90% required percentage is 90%.
Answer:
x = 16
Explanations:
Since △ACD ~ △ABE, it means that:
CD/AD = BE/AE..........(*)
CD = 3x + 8
AD = AE + ED
AD = (x - 1) + 27
AD = x + 26
BE = 20
AE = x - 1
Substituting CD, AD, BE, and AE into equation (*)
(3x+8)/(x+26) = 20/x-1
Cross multiply:
(3x+8)(x-1) = 20(x+26)
3x² - 3x + 8x - 8= 20x + 520
3x²- 15x - 528 = 0
Divide through by 3
x² - 5x - 176 = 0
Solving the quadratic equation above for the values of x
x² - 16x + 11x - 176 = 0
x(x - 16) + 11 (x - 16) = 0
(x - 16)(x + 11) = 0
If x - 16 = 0
x = 16
If x + 11 = 0
x = -11
x cannot be -11 because x = -11 will make side CD and AE to be negative, and the sides of a triangle cannot be negative.
Therefore, x = 16
Using relations in a right triangle, it is found that the angle of depression is of θ = 56.31º.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
For this problem, we have that:
- The opposite side to the angle of depression is the top of tower, at a height of 9000 feet.
- The adjacent side to the angle is the distance to the bird, of 6000 feet.
Hence, considering θ as the depression angle, we have that:
tan(θ) = 9000/6000
tan(θ) = 1.5
θ = arctan(1.5)
θ = 56.31º.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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