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NARA [144]
2 years ago
6

A destroyer on patrol spots an aircraft at an altitude of 10,000 ft and an angle of elevation of 20⁰. How far is the aircraft fr

om the ship?
Round to the nearest whole number.
Mathematics
1 answer:
Reika [66]2 years ago
4 0

sin= \frac{opp}{hyp} \\\\sin (20) = \frac{10000}{hyp}\\\\hyp= \frac{10000}{sin(20)} \\\\hyp= 29238 ft

The aircraft is 29238 ft from the ship

//

Note: this is based on my assumption that we are looking for the hypotenuse.

If we are looking for the adjacent side, then the answer would be 27475 ft.

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F(x)=6x-18 sub in f(x/3), f(x)/3
arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


8 0
3 years ago
The heights of some students are given 158cm 171cm 164cm 164cm 167cm 159cm what is the range of the heights?
bogdanovich [222]

Answer:

The range of students is 13.

Step-by-step explanation:

Take the largest number and subtract it from the smallest number. For example, 171 - 158 = 13 cm.

8 0
3 years ago
How would I solve this? Because I don't understand it at all.
Mandarinka [93]

Answer:

v= s/t = sqrt(360^2+480^2) x 0.3048/0.5 = 365.76(m/s)

Step-by-step explanation:

s =sqrt(360^2+480^2)

s-ft-to-m = s*0.3048

t = 0.5

6 0
3 years ago
I need help on 6-98 can you please help me
OLga [1]
Molly got 20 because she did not follow the order of operations, so this is incorrect. Nancy got the correct answer because she multiplied 4 * 3, and then added 2, giving her 14. Molly added 3+2, and multiplied that by 4. Nancy is correct with 14.


4 0
3 years ago
What is the slope of a line that is parallel to the line represented by the equation x-y=8
coldgirl [10]
The slope of x-y=8 is 1 because it's actually y = x-8

Parallel means the slope is equal to 1 as well.
6 0
3 years ago
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