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:
should be -8
Step-by-step explanation:
when reflecting over the x-axis, y changes from positive to negative or negative to positive. x stays the same.
when reflecting over the y-axis, x changes from positive to negative or negative to positive. y stays the same.
Answer:
a
Yes
b
c
d
Step-by-step explanation:
From the question we are told that
Two fair dice, one green and one red were rolled
Generally the outcomes on the dice independent because the outcome on the first dice is not affected by the second die
Generally the probability of getting a 1 on a dice rolled is 
the probability of getting a 5 on a dice rolled is 
Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as
Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as
Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as
7/12
1/3=4/12
2/3=8/12
7/12>1/3
<span>7/12<2/3
</span>
convert all of these to a common denominator:
7/12 , 1/3 , 2/3
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7/12 = 7/12
1/3 = 4/12
2/3 = 8/12
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place into compound inequality:
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(1/3=4/12) < (7/12=7/12) < (2/3=8/12)
