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sesenic [268]
3 years ago
11

A ramp is 35 ft long rises to a platform. The bottom is 15 ft from the foot of the ramp. Find x, the angle of elevation of the r

amp. Round your answer to the nearest tenth of a degree.
Mathematics
1 answer:
sineoko [7]3 years ago
4 0

Answer:

The angle of elevation of the ramp is 64.60°

Step-by-step explanation:

Given;

length of the ramp, L = 35 ft

distance of the platform to the foot of the ramp, d = 15 ft

The length of the ramp forms the hypotenuse side of this right angled triangle;

The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.

Cos x =  adjacent / hypotenuse

Cos x = 15 / 35

Cos x = 0.4286

x = Cos⁻¹ (0.4286)

x = 64.62

x = 64.60°

Therefore, the angle of elevation of the ramp is 64.60°

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3 years ago
What equation results from completing the square and then factoring? x^2-8x=39
erma4kov [3.2K]
We have that
x²<span>-8x=39
</span>

<span>Group terms that contain the same variable</span>

(x²-8x)=39

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(x²-8x+16)=39+16

Rewrite as perfect squares

(x-4)²=55-------> (x-4)²-55=0

(+/-)]x-4]=√55

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the answer is

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6 0
3 years ago
Read 2 more answers
The following table shows the length and width of two rectangles:
zhannawk [14.2K]

Answer:

10x - 8 or 2( 5x - 4)

Step-by-step explanation:

Perimeter of a rectangle = 2( Length + Width)

<u>Rectangle A </u>

Length = x + 8,

Width  = x - 1

Perimeter_A = 2((x + 8) + ( x - 1))\\\\

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<u>Rectangle B</u>

Length = 4x + 5

Width = 3x - 2

Perimeter _B= 2((4x + 5) + (3x-2))\\\\

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Perimeter_B - Perimeter_A = (14x +6)-(4x + 14) \\\\

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4 0
3 years ago
The round wading pool at the Greenville Community Center has a diameter of 8 feet. What is the pool's circumference? use 3.14 fo
HACTEHA [7]

The circumference of pool is 25.12 feet

<em><u>Solution:</u></em>

Given that round wading pool at the Greenville Community Center has a diameter of 8 feet

Therefore,

Diameter = 8 feet

We know that,

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<em><u>The circumference of circle is given by formula:</u></em>

C = 2 \pi r

Where, "r" is the radius of circle

Substitute r = 4

C = 2 \times 3.14 \times 4\\\\C = 25.12

Thus circumference of pool is 25.12 feet

7 0
3 years ago
The director of health services is concerned about a possible flu outbreak at her college.
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So we only focus on the "male" column. Use a highlighter to mark this column or cover up the other values if they are too distracting. There are 51 males total (bottom row) and 39 males had a flu shot (top row)

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Answer: 13/17
5 0
3 years ago
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