Simplify. V75 A. 35 B. 1575 C. 253 D. 573
1 answer:
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Answer:
C. 28 ft³
Step-by-step explanation:
The general formula for the volume of a pyramid:
V = , where B = the area of the base and h = height of the pyramid
Since the base is a rectangle, we can find area using the formula:
A = l x w or A = 3 x 4 = 12 ft²
Using B = 12 and h = 7:
V =
V = 28 ft³
The formula of the Simple Interest is:
I=PRT
P for Principle Amount ($1200)
R for Rate (5%=
= 0.05)
T for Time in years (4 years)
I = 1200 × 0.05 × 4
= $240
Add the interest to the principle amount to check the balance
$1200 + $240 = $1440
I=PRT
P for Principle Amount ($1200)
R for Rate (5%=
T for Time in years (4 years)
I = 1200 × 0.05 × 4
= $240
Add the interest to the principle amount to check the balance
$1200 + $240 = $1440
Answer:
174.6 ft
Step-by-step explanation:
It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)
We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...
180° -30° -112° = 38°
Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.
c/sin(C) = a/sin(A)
c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft
The height of the tree is about 174.6 feet.
