Answer:
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Step-by-step explanation:OKKK
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Answer:
p = 10
Step-by-step explanation:
In order to solve an equation we must isolate the variable we're solving for, p.
We can do this by undoing operations in the equation.
First, multiply both sides of the equation by 14.
This gives you 4 + p = 14
Then, you can subtract 4 from both sides:
4 - 4 + p = 14 - 4
p = 10
Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.
If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.
Therefore, we can set up a tangent equation.
From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:
tan(28) = x /90
x = 47.88
From the top of the short cliff to the bottom, we can right and solve the following trip equation.
tan(38) = x/90
x = 70.32
The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.
Answer:
x = 17 and y = 8
Step-by-step explanation:
Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.
Therefore, you can set them equal to each other and solve for x.
8x - 31 = 6x + 3
Combine like terms
2x = 34
Divide both sides by two
x = 17
Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.
(5y + 35) + (6(17) + 3) = 180
Add like terms
5y + 140 = 180
5y = 40
y = 8
Answer:
For this, first you must multiply the exponent, which in this case is 1.06^15,
and this gives you 2.39655819.
You then multiply 2.39655819 by 200000.
y = 479311.638
