Answer:
B. 7 inches
Step-by-step explanation:
The surface area of a cube is denoted by: A = 6s², where s is the side length.
Here, we know that A = 294 in², so plug this into the equation to solve for s:
A = 6s²
294 = 6s²
s² = 49
s = √49 = 7
The answer is thus B, 7 inches.
The volume of a rectangular prism is L * W * H.
We are looking for whole numbers that multiply to 28.
There are 10 possible molds.
L, W, H
-------------
28, 1, 1
1, 1, 28
14, 2, 1
1, 14, 2
1, 2, 14
7, 4, 1
4, 1, 7
7, 1, 4
7, 2, 2
2, 2, 7
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Since the total circumference of the circle is 60 pi cm which passes around 360˚, the length of an arc of 140˚ will be equal to 140/360 = 7/18 times the total length:
l = (7/18) * 60 pi cm = 23.3 pi cm
Answer:
Option D
Step-by-step explanation:
The compounded interes formula states that:
V(t) = P (1 + r/n)^ (nt)
t = years since initial deposit = 3
n = number of times compounded per year 1
r = annual interest rate (as a decimal) = 4% / 100 = 0.04
P = initial (principal) investment = $500
Then V(t) = $500 ( 1 + 0.04/1)^3 = 562,43
So the correct answer is option D.
