Answer:
r < 4
Step-by-step explanation:
r+6<10
r < 4
Answer:
9/22
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−9/4 ÷ −11/2
Applying the fractions formula for division,
=−9×2 divided by 4×−11
=−18/−44
Simplifying -18/-44, the answer is
=9/22
Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.
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<h3>a.</h3>
The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
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<h3>b.</h3>
Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
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<h3>c.</h3>
We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.
Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that area of triangle ABC is 3√2 square inches.
We know that area of triangle an be found using trigonometry as:
Now, we will use inverse sine to find the value of angle A as:
Therefore, the measure of angle A is approximately 28 degrees.
