1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alik [6]
3 years ago
7

From a balloon 760 feet high, the angle of depression to the ranger headquarters is 89°18'. How far is the headquarters from a p

oint on the ground directly below the balloon (to the nearest foot)? -1 ft 4 ft 7 ft 9 ft
Mathematics
1 answer:
Gnom [1K]3 years ago
6 0

Answer:

9 ft

Step-by-step explanation:

let x be the required  distance.

\frac{760}{x} =tan~ 89^\circ18 '\\x=\frac{760}{tan~89^\circ 18' } =\frac{760}{tan~89 \frac{18}{60}} =\frac{760}{tan~89.3^\circ} \\or~x \approx 9~ft

You might be interested in
What the second answer ​
Debora [2.8K]

Answer:

1. y' = 3x² / 4y²

2. y'' = 3x/8y⁵[(4y³ – 3x³)]

Step-by-step explanation:

From the question given above, the following data were obtained:

3x³ – 4y³ = 4

y' =?

y'' =?

1. Determination of y'

To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:

3x³ – 4y³ = 4

Differentiate

9x² – 12y²dy/dx = 0

Rearrange

12y²dy/dx = 9x²

Divide both side by 12y²

dy/dx = 9x² / 12y²

dy/dx = 3x² / 4y²

y' = 3x² / 4y²

2. Determination of y''

To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:

3x² / 4y²

Let:

u = 3x²

v = 4y²

Find u' and v'

u' = 6x

v' = 8ydy/dx

Applying quotient rule

y'' = [vu' – uv'] / v²

y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²

y'' = [24xy² – 24x²ydy/dx] / 16y⁴

Recall:

dy/dx = 3x² / 4y²

y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴

y'' = [24xy² – 18x⁴/y] / 16y⁴

y'' = 1/16y⁴[24xy² – 18x⁴/y]

y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]

y'' = 1/16y⁵[(24xy³ – 18x⁴)]

y'' = 6x/16y⁵[(4y³ – 3x³)]

y'' = 3x/8y⁵[(4y³ – 3x³)]

6 0
2 years ago
Fanning + medal
lubasha [3.4K]
The Greatest Common Factor of the given expression should be that expression that can divide both. First, factor both expression,
           x^4 = (x³)(x)      and x³ = (x³)(1)
Therefore, both can be factored by x³. The answer is the third choice. 
7 0
2 years ago
Read 2 more answers
A circle has a sector with area 45/4 pi and central angle of 9/10 pi radians. What is the area of the circle?
Nikitich [7]

Answer:

the area of the circle: 25π

Step-by-step explanation:

45/4 π = 11.25π

9/10π = 0.9π

11.25π / 0.9π = x / 2π   .... 360° = 2π

x = (11.25π x 2π) / 0.9π = 25π

6 0
3 years ago
PLEASEHELP!!!!!!
pantera1 [17]

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

v_2 = v_1 + 4.

The first runner's speed is 4/5 of the speed of the second runner, hence:

v_1 = \frac{4}{5}v_2

v_1 = \frac{4}{5}(v_1 + 4)

\frac{1}{5}v_1 = \frac{16}{5}

v_1 = 16

v_2 = 16 + 4 = 20

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at brainly.com/question/24863377

5 0
2 years ago
Read 2 more answers
If a lawnmower was regularly $150 and is on sale for $120. By what percentage was the price decreased?/
topjm [15]
The percent decrease is 20%.
150 - 120 = 30
30 divided by 150 = 0.2
0.2 as a percent is 20
Old - New
     Old

4 0
3 years ago
Other questions:
  • Chardai reads 25% of a book each night that has 280 pages. How many pages will she read
    10·1 answer
  • A cone shaped cup has a radius of 4 inches and a height of 6 inches. Which measurement is the closest to the volume in cubic inc
    12·1 answer
  • 20 m<br> 12 m<br> 34 m <br><br> Find the surface area of this figure
    9·1 answer
  • The faces of a triangular pyramid have a base of 5 cm and a height of 11 cm. what is the lateral area of the pyramid?
    5·1 answer
  • the length of a rectangle is three times it’s width. if the area of the rectangle is 300 yd^2, find its perimeter.
    8·1 answer
  • .ejjejejjwjskkw<br>sndnnskskw<br>mwkwkkeke
    12·1 answer
  • Please help me i couldnt get this question<br> 6-t=2t
    7·1 answer
  • Factor each of the following expressions into two binomials.
    8·1 answer
  • What is 64 divisible by?​
    5·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!