<span>Draw a triangle and label is ABC.
Let angle A = x
let angle B = x
let angle C = 2x - 36
2x - 36 means that angle C is 36 degrees less than the sum of angle A and B.
Since the sum of the interior angles of a triangle is 180 degrees, then 2x + 2x - 36 = 180.
combine like terms in that equation and you get 4x - 36 = 180
add 36 to both sides of that equation and you get 4x = 216
divide both sides of that equation by 4 and you get x = 54 degrees
angle A = 54 degrees
angle B = 54 degrees
angle C = 108 - 36 = 72 degrees
54 + 54 + 72 = 108 + 72 = 180 degrees so the angles are good because
they add up to 180 degrees and the third angle is 36 degrees less than
the sum of the other 2.
</span>
Basically you are finding the volume of a rectangular prism of 3 by 2 meters cross section and 30 meters length. Volume = (3 m)(2 m)(30 m) = 180 cubic meters.
If 60% of the water has evaporated, 40% is left. Find 40% of 180 cubic meters to answer the 2nd part of this question.
Perimeter (P) = 2 · Length(L) + 2 · Width (W) → P = 2L + 2W
Solve for either L or W (I am solving for L).
200 - 2W = 2L
(200 - 2W)/2 = L
100 - W = L
Area (A) = Length (L) · Width (W)
= (100 - W) · W
= 100W - W²
Find the derivative, set it equal to 0, and solve:
dA/dW = 100 - 2W
0 = 100 - 2W
W = 50
refer to the equation above for L:
100 - W = L
100 - 50 = L
50 = L
Dimensions for the maximum Area are 50 ft x 50 ft
Answer:
-270
Step-by-step explanation:
= 3^-3 × 10
= -27× 10
= -270
Answer:
No solution. Reason is because both x and y will be eliminated
Step-by-step explanation:
