From the law of sines, we have
where is the leg we're interested in,
is the hypothenuse,
is the angle opposite to
, and
is the angle between
and
.
So, in the first case, we can use
And in the second excercise, we use
Help me please it’s due today
1 answer:
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Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (0, 3) ← 2 ordered pairs from the table
m = =
= - 1
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:
How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.
Multiplying by (-1)
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
So
Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.