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Bingel [31]
3 years ago
11

PLEASE HELP

Mathematics
1 answer:
Helen [10]3 years ago
4 0
What was the total amount of money paid?
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The naturalist views an elephant in the distance, but he doesn’t know how far away the elephant is from him. He takes a view to
andrezito [222]

Answer:

10.11 feet

Step-by-step explanation:

Let H ft be the elephant's height and x ft be the initial distance from naturalist to the elephant.

1. Naturalist takes a view to find the a 22 degree angle of elevation, then

\tan 22^{\circ}=\dfrac{H}{x}.

2. Naturalist moves backwards from the elephant pacing off a distance of 27 feet, the distance from naturalist to the elephant becomes (x+27) ft. He takes a second view and determines a new angle of elevation of 11 degrees. Then

\tan 11^{\circ}=\dfrac{H}{x+27}.

3. Solve the system of two equations:

\left\{\begin{array}{l}\tan 22^{\circ}=\dfrac{H}{x}\\\tan 11^{\circ}=\dfrac{H}{x+27}\end{array}\right.\Rightarrow \dfrac{x+27}{x}=\dfrac{\tan 22^{\circ}}{\tan 11^{\circ}}\approx 2.0785,\\ \\ \\x+27=2.0785x,\\ \\1.0785x=27,\\ \\x\approx 25.0347\ ft.

Then

H=x\cdot \tan 22^{\circ}\approx 10.11\ ft.

3 0
3 years ago
How many hours are in 188 days
Anettt [7]
24*188=4512

Hope this helps :)
6 0
3 years ago
Read 2 more answers
the area of a triangle is 6 and 3/8 square yards. The height of the triangle is 2 and 1/2 yards. What is the length of the base
Otrada [13]

Solution:

<u>Note that:</u>

  • Area of triangle = 6 3/8 yd²
  • Height of triangle = 2 1/2
  • Area of triangle = 1/2 x base x altitude

<u>Use the formula to find the base of the triangle.</u>

  • 1/2 x base x altitude = 6 3/8 yd²
  • => 1/2 x base x 2 1/2 = 6 3/8 yd²
  • => 1/2 x base x 5/2 = 6 3/8 yd²
  • => 5/4 x base = 6 3/8 yd²
  • => base = 6 3/8 ÷ 5/4 yd
  • => base = 51/8 x 4/5 yd
  • => base = 51/2 x 1/5 yd
  • => base = 51/10 yd

The length of the base is 51/10 yards.

8 0
2 years ago
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You are shopping for a cellphone plan and narrowed it down to two companies. Horizon charges a one-time deposit fee of $100 plus
natta225 [31]

Answer:

A.  4th month and $160

B.  E-mobil at month two

C. Horizon at month nine

Step-by-step explanation:

8 0
3 years ago
A certain map shows two roads. road A is 1 1/5 miles long but is 1 1/2 long on the map. What is the unit rate for inches per mil
borishaifa [10]

Answer:

5/4 in per mile

10 in on map

Step-by-step explanation:

5 0
3 years ago
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