Find the lateral surface area.
1 answer:
Answer:
900 yd²
Step-by-step explanation:
You can draw the pattern that would need to be folded to make the figure, then find the area of that pattern (or "net"). It consists of a rectangle 10 yards wide and 60 yards long, together with another that is 20 yards long and 15 yards wide. The total area is the sum of these ...
... area = (60 yd)(10 yd) + (20 yd)(15 yd)
... = 600 yd² +300 yd²
... = 900 yd²
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Consider the line y=5x-3. Two solutions (x, y) of this equation, are points on the line.
For example, let x=0, then y=-3. So (0, -3) is a point on the line.
If x=1, then y=5*1-3=5-3=2, so (1, 2) is a point on the line.
a)
Consider the transformations of these two points under <span>(x,y) --> (x, y-6):
</span>(0,-3) --> (0, -3-6)=(0, -9),
(1, 2) --> (1, 2-6)=(1, -4).
So (0, -3) and (1, 2) are translated to respectively (0, -9) and (1, -4).
The whole line is translated to the line containing (0, -9) and (1, -4).
The slope of the new line is
. The equation of the line is:
,
that is, y=5x-9.
b)
Consider the transformations of these two points under (x,y) --> (x+2, y):
(0,-3) --> (0+2, -3)=(2, -3),
(1, 2) --> (1+2, 2)=(3, 2).
The slope of the new line is
.
The equation of the line is
,
which can be written as
y=5x-13.
Answer:
a) y=5x-9
b) y=5x-13
For example, let x=0, then y=-3. So (0, -3) is a point on the line.
If x=1, then y=5*1-3=5-3=2, so (1, 2) is a point on the line.
a)
Consider the transformations of these two points under <span>(x,y) --> (x, y-6):
</span>(0,-3) --> (0, -3-6)=(0, -9),
(1, 2) --> (1, 2-6)=(1, -4).
So (0, -3) and (1, 2) are translated to respectively (0, -9) and (1, -4).
The whole line is translated to the line containing (0, -9) and (1, -4).
The slope of the new line is
that is, y=5x-9.
b)
Consider the transformations of these two points under (x,y) --> (x+2, y):
(0,-3) --> (0+2, -3)=(2, -3),
(1, 2) --> (1+2, 2)=(3, 2).
The slope of the new line is
The equation of the line is
which can be written as
y=5x-13.
Answer:
a) y=5x-9
b) y=5x-13