Find the surface area of the cylinder. Round your answer to the nearest tenth. 6 m 7 m
1 answer:
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Answer:
Step-by-step explanation:
First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.
So now we have the equation , and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation
Rearrange the equation so it equals b
Put it together and that's the final equation!
Answer:
Step-by-step explanation:
Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that . We are given the lengths of all 3 sides in terms of
, but we only need to set two of them equal to each other to solve for
. Let's use
and
to solve for
. We know that
,
, and
. Therefore, we can write the following equation to solve for
(Substitute given values into equation)
Solving for , we get:
(Subtract
from both sides of the equation to isolate constants)
(Simplify)
(Subtract
from both sides of the equation to isolate
)
(Simplify)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
Therefore, , and
. Hope this helps!
Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
.
Filling in our values gives us
and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is
where the b's represent the bases and the h represents the height. Filling in our values gives us
Work inside the parenthesis first:
and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet