A drain must be installed with a grade of 1/10 in. of vertical drop per foot of horizontal run. How much of a drop will there be
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Answer:
- (A)Six of the one-half cubes would have a volume of 3 cubic units.
- (D)Three of the one-third cubes will make 1 unit cube.
- (E)Two of the one-half cubes will make 1 unit cube.
- (F)Both stacks will have a volume of 3 cubic units.
Step-by-step explanation:
Marissa claims that stacking 6 blocks with dimensions of will give the same volume as stacking 9 blocks with dimensions of
.
First, let us examine the volume of each of the blocks.
<u>For Block 1</u>
The dimensions are:
Volume of 1 block =
Volume of 6 blocks of dimension
<u>For Block 2 </u>
The dimensions are:
Volume of 1 block =
Volume of 9 blocks of dimension
The following statements out of Marissa's claim are true:
(A)Six of the one-half cubes would have a volume of 3 cubic units.
(D)Three of the one-third cubes will make 1 unit cube.
(E)Two of the one-half cubes will make 1 unit cube.
(F)Both stacks will have a volume of 3 cubic units.
Answer: See the diagram below
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Explanation:
She starts off finding the mean of the data. So she adds up the values to get 48+54+57+62+69 = 290, and then divides by 5 to get the mean of 290/5 = 58. That explains why there's a 58 in the first row of the second column.
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For the next step, she subtracts 58 from each data item. If the result is negative, then go with the positive version (ie apply the absolute value)
- |48-58| = 10
- |54-58| = 4
- |57-58| = 1
- |62-58| = 4
- |69-58| = 11
This leads to the list 10,4,1,4,11 which goes in the first slot labeled "drag and drop an item here". This is the list of distance values each item is from the mean.
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The last thing to do is find the mean of the set {10,4,1,4,11}
add: 10+4+1+4+11 = 30
divide by five: 30/5 = 6
The mean absolute deviation (MAD) is 6
This represents the average distance each data value is from the mean. The MAD tells us how spread out the data is. It's similar to the standard deviation.
We know that
[area of triangle]=b*h/2
b=15 units
h=8 units
[area of triangle]=15*8/2---------> 60 units ²
see the attached figure
the answer is
60 units ²
[area of triangle]=b*h/2
b=15 units
h=8 units
[area of triangle]=15*8/2---------> 60 units ²
see the attached figure
the answer is
60 units ²