Answer:
729 in³
Step-by-step explanation:
Fill in the given numbers in the formula and solve for V.
... A = 6V^(2/3) . . . . . . the given formula
... 486 = 6V^(2/3) . . . . with the given area filled in
... 81 = V^(2/3) . . . . . . . divide by 6
... 81^(3/2) = V . . . . . . . raise to the 3/2 power. (2/3)·(3/2) = 1, so we have V on the right
... 729 = V . . . . in³
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You may have noticed that (81 in²)^(3/2) becomes 729 in³. The exponent operations work on the units, too.
Answer:
c
Step-by-step explanation:
75 is supplementary to angle b. then angle a = 180-75=105
Perimeter is adding all 4 sides of a rectangle together.
Since the length is 1-1/2 yards longer than it's width, 2 sides are 1-1/2 yards longer.
So now we know that 2 sides are: 1-1/2 + 1-1/2 = 3 yards longer.
Subtract the 3 yards from the perimeter: 40 -3 = 37 yards.
To find the width, divide 37 yards by 4 sides: 37 / 4 = 9-1/4 yards.
The width is 9-1/4 yards.
The length is the width plus 1-1/2: 9-1/4 + 1-1/2 = 10-3/4 yards.
Check to see if this equals the perimeter: 10-3/4 + 10-3/4 + 9-1/4 + 9-1/4 = 40 yards.
That works out so we now have the length and width.
Area = Length x width
Area = 9-1/4 x 10-3/4 = 99 7/16 square yards.
Answer: B
explanation: on y-axis you can see the line touches -8 on graph. for the slope, rise over run could be used 9/9 =1
so y=x-8