Answer:
Length and Width = 10ft
Height = 5ft
Surface Area = 300 square feet
Step-by-step explanation:
Given
-- Volume
Let:
Volume (V) is calculated as:
Substitute 500 for V
Make H the subject
The tank has no top. So, the surface area (S) is:
Substitute 500/LW for H
Differentiate with respect to L and to W
and
Equate both to get the critical value
and
and
and
and
Make L the subject in
Substitute for L in
Cross Multiply
Divide both sides by 1000
Take cube roots of both sides
Substitute 10 for W in
Recall that:
So, the dimensions are:
and
The surface area is:
Trick Question their is No 1
Answer:
okay i'm pretty sure it's y=x-3 :)
Step-by-step explanation:
<span>± 1, ± 2, ± 11, ± 22 would be the answer. Hope that helps!</span>
Step-by-step explanation:
Sin<D = Opposite / Hypotenuse
Opposite - EC
Hyp - DE
Sin<D = EC/DE = x/9
we need x to find <D.
so -->Use pythagorean theorem.
DE^2 = EC^2 + DC^2
DE = 9 DC = 7 EC = ?
EC^2 = DE^2 - DC^2 rearranged.
= 9^2 - 7^2
= 81 - 49
EC^2 = 32 Put both sides under square root.
√(EC^2) = √32
EC = 4√2 ~ 5.65.
We now have X which was representing the unknown side EC.
Sin<D = EC/DE = 5.65/9 = 0.627
To find <D Take the sine inverse of of 0.627.
<D = Arcsin(0.627) = 38.82°.
We now know <D. It's <E's turn.
A right angle triangle has a summation of interior angles of 180°.
thus, <em><D + <C + <E = 180°</em>
38.82° + 90° + <E = 180°
128.82° + <E = 180°
subtract both sides by 128.82°
0 + <E = 180° - 128.82°
<em><E = 51.</em><em>2</em><em>°</em>