Near 3.2496 as a number or as it should be $3.25
Using the addition rule of the Sine function and the Cosine function, we obtain .
<h3>What are the formulas for (sin x + sin y) and (cos x + cos y)?</h3>
- The formula for the addition of two Sine functions () is .
- The formula for the addition of two Cosine functions () is .
Given that
Then using the above formulas, we get:
(1)
(2)
Dividing the equation (1) by (2), we get:
(3)
Now, we know that .
Thus, using the above formula, we get from (3):
Therefore, using the addition rule of the Sine function and the Cosine function, we obtain .
To know more about Sine and Cosine functions, refer: brainly.com/question/27728553
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Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.
Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):
mi.
This means that the distance between park and libriry is 4 miles.
Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,
mi. The distance between park and football field is miles.
Answer: the distance between park and libriry is 4 miles and the distance between park and football field is miles.
Answer:
2 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
time = distance/speed
If s is the speed going up the mountain, then s+1 is the speed coming down. The total trip time for 6 miles up and 6 miles down is ...
6/s +6/(s+1) = 5
6(s+1) +6s = 5(s)(s+1)
5s^2 -7x -6 = 0 . . . . subtract the left side, simplify to standard form
(s -2)(5s +3) = 0 . . . . factor
s = 2 or -3/5 . . . . values that make the factors 0
Their speed was 2 miles per hour going up the mountain.
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<em>Check</em>
It took 6/2 = 3 hours to go up the mountain, and 6/(2+1) = 2 hours to come down, for a total of 5 hours.