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Juliette [100K]
3 years ago
8

The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizon

tal distance, in miles, of the jet from the house, express d in terms of a trigonometric function of x.
Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

d = 2cot(x) or d = 2/tan(x)

Step-by-step explanation:

The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:

tan (x) = \frac{2}{d}\\d = \frac{2}{tan (x) }\\cot (x) = \frac{d}{2} \\d= 2cot(x)

Therefore, the distance 'd' can be expressed as d = 2cot(x) or d = 2/tan(x).

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I really need help with 1 and 2 please help me I begg you
Lera25 [3.4K]
1.) So 1/5 of a relay, or r, is 3/4 of a mile.
1/5r = 3/4
Multiply 5 on both sides of the equation.

r = 15/4

The relay was 15/4 of a mile or 3 3/4 of a mile.

2.) No, it is not because the sum of the digits are not divisible by 3.

Hope this helps! :)
7 0
3 years ago
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Which equation can be used to find the unknown length, b, in this triangle?​
Paha777 [63]

Answer:

use pythagorean theorem

Step-by-step explanation:

a^2+b^2=c^2

8 0
3 years ago
Find the equation of a line with a slope of -1 that passes through the point (2,3). Graph this line.
Len [333]

Answer:

y= -1x+5 or y= -x+5

Step-by-step explanation:

4 0
3 years ago
Evaluate (42)(43)(8-3) 2 .
Dafna1 [17]

Answer: 18060

<u>Step 1</u>

1806(8−3)(2)

<u>Step 2</u>

(1806)(5)(2)

<u>Step 3</u>

(9030)(2)

6 0
3 years ago
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A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?
kondor19780726 [428]
  • A rectangle has a perimeter of 44 inches and an area of 72 square inches.
  • Perimeter = 44 inches, area = 72 square inches.
  • Let the length and breadth be l and b respectively.
  • We know, perimeter of a rectangle = 2(l + b)
  • Therefore,
  • 2(l + b) = 44

or, l + b = 22

or, b = 22 - l ...(i)

  • We know, area of a rectangle = lb
  • Therefore,
  • lb = 72
  • Putting (i) in b, we get
  • l(22 - l) = 72

or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

  • Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.
  • And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.

<u>Answer:</u>

<u>B)</u><u> </u><em><u>4</u></em><em><u> </u></em><em><u>inches </u></em><em><u>and </u></em><em><u>1</u></em><em><u>8</u></em><em><u> </u></em><em><u>inches.</u></em>

Hope you could get an idea from here.

Doubt clarification - use comment section.

5 0
2 years ago
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