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MariettaO [177]
3 years ago
6

PLS HELP

Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

Look at the unfolded cylinder down: it's consisted of a rectangle and 2 circles. so to find the surface area of the cylinder we should find the areas of the rectangle and the 2 circles.

1) A of 2 circles = 2(πr^{2}) = 2πr^{2}

2) A of rectangle = base x height (or length x width) = bh

but the if we fold the rectangle? what will happen?

the base will go around the circle, this means that the base is equal to the circle circumference, which is 2πr.

Therefore, A of rectangle = 2πrh

3) Surface area of cylinder =  2πr^{2} + 2πrh

   simplify more and take the common factor 2πr:

    = 2πr (r+h)

   

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I want more points next time....Hehehee!

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Taft CLB Algebra 2 Unit 1: Systems of Linear Equations and Inequalities 2020-2021 / 3 of 13
Tju [1.3M]

Answer:

B + G \leq 15

6B + 10G \geq 90

Step-by-step explanation:

Given

Represent Babysitting with B

Represent Gas Station with G

Total workhours = At most 15

Earnings = At least $90

First, we need to represent the work hours as inequality

B + G  = At most 15

At most 15 means less than or equal to 15.

So, we have:

B + G \leq 15

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6 hours of babysitting is: 6B

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At least 90 means greater than or equal to 90

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8 0
3 years ago
Given the function graphed below, what is the average rate of change between f(3) and f(7)?
Shkiper50 [21]
Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
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The slope of the line is 20, so therefore, the average rate of change is 20.

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Step-by-step explanation:

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