To find the surface area of a pyramid, we need to find the area of all the faces and add them up.
4 * 6 = 24
24 / 2 = 12
There are four sides (not including the base) in this pyramid, so we should multiply this by 4.
12 * 4 = 48
Now, we find the area of the base.
6 * 6 = 36
We add up all of the numbers:
48 + 36 = 84
84 in^2 is the answer.
Hope this helps!
Answer:
4 : 9
Step-by-step explanation:
The requested ratio is ...
tile length : board length = (2/3 ft) : (1/2 yd) = (8 in) : (18 in)
= 8 : 18 = 4 : 9
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To make a unitless ratio, both parts must have the same units. Here, we chose to express the lengths in inches. We could have used feet or yards as well. (2/3 ft)×(1 yard)/(3 ft) = 2/9 yd or (1/2 yd)(3 ft/yd) = 3/2 ft. You get the same ratio with any of these:
(2/9 yd) : (1/2 yd) = (4 yd) : (9 yd) = 4 : 9 . . . . . multiply by 18
(2/3 ft) : (3/2 ft) = (4 ft) : (9 ft) = 4 : 9 . . . . . multiply by 6
Solve for x:
x^9 = n x
Subtract n x from both sides:
x^9 - n x = 0
Factor x and constant terms from the left hand side:
-x (n - x^8) = 0
Multiply both sides by -1:
x (n - x^8) = 0
Split into two equations:
x = 0 or n - x^8 = 0
Subtract n from both sides:
x = 0 or -x^8 = -n
Multiply both sides by -1:
x = 0 or x^8 = n
Taking 8^th roots gives n^(1/8) times the 8^th roots of unity:
Answer: x = 0 or x = -n^(1/8) or x = -i n^(1/8) or x = i n^(1/8) or x = n^(1/8) or x = -(-1)^(1/4) n^(1/8) or x = (-1)^(1/4) n^(1/8) or x = -(-1)^(3/4) n^(1/8) or x = (-1)^(3/4) n^(1/8)
What you have to do is multiply 21 by 2. it is 42. $42 dollars was the original price of the bookcase.
Answer:
When applicable, state the domain restriction. g(f(x)) 4 x2 + 1 16 x2 + 3 4 x2 + 7 16 x2 - 8 x + 3 Please help. I thinks that it is 16 x2 + 3. College Algebra. Consider the function f(x)=4 - x^2 for the domain [ 0,∞). Find f^−1 (x), where f^−1 is the inverse of f
Step-by-step explanation:
