Answer:
The greatest common factor of 128 and 192 is 64, because 64 is the highest number that is divisible by both numbers.
Answer:
Tan B = 15 / 8
Step-by-step explanation:
Giveb the triangle :
The hypotenus :
Using Pythagoras rule :
Hypotenus² = 15² + 8²
Hypotenus² = 225 + 64
Hypotenus = 17
Tan B:
Using the trigonometric relation :
Tan B = opposite / Adjacent
Tan B = 15 / 8
Answer:
Width = 10 inches
Length = 13 inches
Step-by-step explanation:
Firstly, we setup 'let' statements,
Let:
Width be x
Length x + 3
2(width) + 2(length) = Perimeter;
2x + 2(x + 3) = 46,
2x + 2x + 6 = 46
Then, we simplify for 2x + 2x:
4x + 6 = 46
The opposite operation for addition is subtraction to isolate x, therefore:
4x + 6 - 6 = 46 - 6,
4x = 40
The opposite operation for multiplication is division, to isolate x, therefore:
4x / 4 = 40 / 4
x = 10
Now we substitute for x in the let statements:
Width = 10 inches
Length = (10) + 3 = 13 inches
9514 1404 393
Answer:
a) 1/2
b) 1/2
Step-by-step explanation:
a) The average rate of change is the slope of the segment whose end points are the ends of the interval. On the interval [2, 8] the average rate of change is ...
m = (f(8) -f(2))/(8 -2) = (4 -1)/6 = 3/6 = 1/2
The average rate of change on the interval [2, 8] is 1/2.
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b) In this context, "slope" and "average rate of change" mean the same thing. A line with the same slope will have a slope of 1/2.
Answer:
192 cm³
Step-by-step explanation:
V = w · h · l
4 · 6 · 8
192 cm³
