Answer:
- 11040 m³
- k ≈ 0.33
- V = (1/3)Bh
Step-by-step explanation:
The given relation is ...
V = kBh . . . . . for some base area B, height h, and constant of variation k
We are given length and width of the base so we presume it is a rectangle.
B = l·w = 8·11 = 88 . . . . square meters
The given volume tells us the value of k:
1144 = k(88)(39) . . . . . . cubic meters
1144/3432 = k = 1/3 ≈ 0.33
The value of k is about 0.33.
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Then the volume of the larger pyramid is ...
V = (1/3)(15 m)(46 m)(48 m) = 11,040 m³
The general relationship is ...
V = 1/3Bh
Answer:
46 degrees.
Step-by-step explanation:
Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.
SA= Lateral Area + Area (of base)
Lateral area = perimeter of base x height
An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.
So 5 + 5 + square root of 50 is your perimeter
Multiply the perimeter times your height (8) and you get the lateral area.
Add your lateral area to the base area (triangle = 1/2 bh)
LA = 136.568...
Area of Triangle base = 12.5
Surface area = 149.068... square cm
The total stockholders equity based on the information given will be $8285000.
<h3>How to compute the equity?</h3>
The stockholders equity will be calculated thus:
Common stock $4480000
Excess over par = $1152000
Paid in capital = $5632000
Sale of treasury = $224,000
Total paid in capital = $5856000
Retained earnings = $2,554,000
Total = $8,410,000
Less treasury stock = 125,000
Total stockholders equity = $8,410,000 - $125000
= $8285000
Therefore, the total stockholders equity based on the information given will be $8285000.
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