The volume of the solid will be equal to V=64 Cubic inches.
<h3>What is volume?</h3>
The space occupied by any solid object in the three-dimension is called as the volume.
Here we have 8 cubes in the solid object each cube has the side equal to 2 inches.
So the volume of one cube will be:
V=a³=2³=8 cubic inches
Since total number of the cubes are 8 so total volume will be:
V=8x8=64 cubic inches
hence the total volume will be equal to 64 cubic inches`
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Answer:
X = {0, 1, 2, 3, 4}
Step-by-step explanation:
If X is the number of nonzero digits in a 4-digit PIN with no restriction on the digits, the pin can have up to 4 nonzero digits.
Let's see some examples:
If the PIN is 0000 then X = 4
If the PIN is 2045 then X = 3
If the PIN is 7546 then X = 0
From the previous examples, we can see that the possible values for X are 0, 1, 2, 3, 4.
Thus X = {0, 1, 2, 3, 4}
The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the above formula, we can find the slope of the line:
m = (49-14)/(35-10)
m = 35/25
m = 7/5
The equation will be:
y = 7x/5 + c
here c is the y-intercept
Plug (10, 14) in the equation to find the value of c
14 = 7(10)/5 + c
c = 0
y = 7x/5 or
5y - 7x = 0
Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
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11.25 inches. Divide 1800 by 160 and get your answer
