The surface area of a cylinder is 2*pi*r*h(side area)+2*pi*r^2(bases).
When you plug in the values: 2*pi*5*8+2*pi*25 = 80pi+50pi
Answer: 130pi
7/21 for the first and 9/27 for the second
Answer: To find the inverse, interchange the variables and solve for y.
Step-by-step explanation:
f-^1 (x)= - 5x/3
Answer: 100
<u>Step-by-step explanation:</u>
A linear pair is a pair of angles (two angles) that form a straight angle (line), therefore their sum is 180°
∠PQR + ∠RQS = 180°
(5x + 5) + (11x - 65) = 180
16x - 60 = 180
16x = 240
x = 240/16
x = 15
∠RQS = 11x - 65
= 11(15) - 65
= 165 - 65
= 100
If y represents the total number of cans already crushed at a given time,
<span>and x represents the number of minutes, </span>
<span>then we can observe that this is a point-slope equation for the point (5,65). </span>
<span>The point-slope format is </span>
<span>y - b = m (x - a) </span>
<span>where m is the slope of the line </span>
<span>and (a,b) are coordinates of a point on the line. </span>
<span>Since we're given b=65, we find the x-coordinate that corresponds to 65 on the table, </span>
<span>and therefore we know a=5. </span>
<span>We also need to fill in the blank for the slope. It turns out the slope is constant for the whole table, so we can use any two points to calculate it. Using the endpoints (3,49) and (9,97), we get </span>
<span>m = (difference in y-coordinates) / (difference in x-coordinates) </span>
<span>= (97 - 49) / (9 - 3) = 48/6 = 8 </span>
<span>So now we know that a=5, b=65, m=8 and the point-slope equation </span>
<span>y - b = m (x - a) </span>
<span>turns out to be </span>
<span>y - 65 = 8 (x - 5)</span>
