Answer:
To find the area of the rectangular sides, use the formula A = lw
To find the area of the triangular faces, use the formula A = 1/2bh,
Step-by-step explanation:
1st formula where A = area, l = length, and h = height.
2nd formula where A = area, b = base, and h = height.
Answer:
s14.98 + 92
Step-by-step explanation:
In order to make an expression for this word problem, all you have to do is follow along the steps in the problem:
s14.98 represents how many shorts Michele bought and how much they cost
8 * 11.50 represents how many shirts she bought and what they cost, but we need to simplify, so
8 * 11.50 = 92
Therefore, by adding the shorts and shirt together, we get the expression:
s14.98 + 92
Hope this helps :)
Answer:
8 (7.94)
Step-by-step explanation:
You can think of it as a geometry problem.
What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).
What you need to find is the height. We will call it H.
As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:
H^2 + 9^2 = 12^2
H^2 + 81= 144
H^2 = 63
Applying squared root in both sides
H = √63
H = 7,94
So, the height is approximately 8.
Answer:
Step-by-step explanation:
1)140
2)70
i. The Lagrangian is

with critical points whenever



- If
, then
. - If
, then
. - Either value of
found above requires that either
or
, so we get the same critical points as in the previous two cases.
We have
,
,
, and
, so
has a minimum value of 9 and a maximum value of 182.25.
ii. The Lagrangian is

with critical points whenever
(because we assume
)



- If
, then
. - If
, then
, and with
we have
.
We have
,
,
, and
. So
has a maximum value of 61 and a minimum value of -60.