Answer:
9 1/2
Step-by-step explanation:

Answer:
3 would be your y intercept
then from the point 0,0 put 2 in as slope
Step-by-step explanation:
First turn the equation into y=mx+b (slope-intercept form)
Which turns into y= -2x+3
in y=mx+b
m is slope and b is y intercept
3 would be your y intercept
then from the point 0,0 put 2 in as slope
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Answer:
Both the radius and height of the cylinder are 2.48 cm.
Step-by-step explanation:
V = π r2 h
(where r is the radius and h is the height.)
However, in the problem statement, we were told that the radius equals the height or "r = h"
So, we can rewrite the above equation as:
V = π r2*r = π r3
Now we just have to solve for r
r3 = V/π
r = (V/π)1/3
r = (48/π)1/3=2.48 cm
Answer:
Height of the awning = 9.52 feet
Step-by-step explanation:
For better understanding of the solution, see the attached diagram of the problem :
According to the figure, AB is the height of the awning
Now, the base of awning will be perpendicular to the building
⇒ m∠ABC = 90°
In ΔABC, By using angle sum property of a triangle
m∠ABC + m∠ACB + m∠BAC = 180°
⇒ m∠ACB = 50°

Hence, Height of the awning = 9.52 feet
Answer:
The sum of the arithmetic series is 2717.
Step-by-step explanation:
The sum of an arithmetic sequence is given by:

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.
There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

In conclusion, the sum of the arithmetic series is 2717.