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2 years ago

I am on my trigonometry unit in math and don’t know what to do for this. I also really need work shown!

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

8 0

Answer:

The flight was 137.45 miles farther than the direct path.

(make slight changes if directions were given on how to round. This is to the nearest hundredth)

Step-by-step explanation:

Use the Law of Cosines.

c^2=

a^2+b^2-2abcosC

You know two sides and the angle in between. The Law of Cosines will give us the third side.

The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.

Then subtract the smaller number (direct route) from the actual route. See image.

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Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [

Darya [45]

Answer:

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

$f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9$

Computing the first derivative:

$f' ( x ) = - 6 x^3 + 54 x - 108$

We find the critical points equating f'(x) to zero

$- 6 x^3 + 54 x - 108=0$

Simplifying by -6

$x^2 -9 x +18=0$

We get the critical points

$x=3,\ x=6$

They define the following intervals

$(-\infty,3),\ (3,6),\ (6,+\infty)$

Thus A=3 and B=6

3 0

3 years ago

98675465791851234567890 divide 12345678901234567890987654321

azamat

Answer:

7.9927128e-6

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hou

o-na [289]

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

x + y = 55 ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

8 0

3 years ago

Which is the correct classification

Tatiana [17]

I think it the second one no the 3 one you chose !

6 0

2 years ago

Write an equation for the parabola whose vertex is at (4, 12) and which passes through (5, 21)

laiz [17]

Answer:

y - 12 = 9(x - 4)

Step-by-step explanation:

The vertex (h, k) is (4, 12) and the point (5, 21) is on the graph. Assuming that this is a vertical parabola, opening up (because the coordinate 21 is greater than the coordinate 12), we insert the knowns into y - k = a(x - h)^2, obtaining

21 - 12 = a(5 - 4), or 9 = a. With a known, we can write the desired equation:

y - 12 = 9(x - 4)

8 0

3 years ago