Answer:
36 pieces
Step-by-step explanation:
4 1/8 ft x 4 1/8 ft = 49.5 in x 49.5 in = 2450.25 in^2
8.25 in x 8.25 in = 68.06 in^2
2450.25/68.06 = 36 pieces
checking for scrap loss:
49.5/8.25 = 6
so no scrap loss
Answer:
Pyramids are triangular in shape with a sided shape, whereas cones have circular bases that merely adjoin at a point.
Step-by-step explanation:
They can NOT. A right angle is 90°. An obtuse angle is greater than 90°. All the angles in a triangle must add up to exactly 180°. If two angles are greater than 90° then they will add up to greater than 180, beacuse 90 plus 90 equals 180. You cannot have a triangle with two obtuse angles because they will add up to greater than 180°.
Answer: y = -3/2x + 5
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
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You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
