The answer needs the volume of the original pyramid minus the small pyramid cut off.
Volume of pyramid = (area of base x height)/3
(12 x 6 x 14)/3 - (4 x 10 x 6)/3 = 256 m^3
The diagram is completely wrong so this problem is actually impossible to solve!
If you slice horizontally across a rectangular pyramid the ratios of the edges will remain constant.
The two rectangles are not the same shape! 12:6 is not the same ratio as 10:4
If the original pyramid in this question was sliced in half the top rectangle of the frustum would be 6 x 3.
In this diagram the height was reduced from 14m to 8m so the top 6m was removed.
If the base was 12 x 6 the top rectangle should be 6/14 smaller = 5.14m by 2.57m (not 10 x 4)
If you are brave you could point this out to your teacher
17. 187 divided by 11 equals 17.
<span>The data value must be less than the mean.</span>
Sadly, you didn't put any sums on your list of choices.
In fact, I can't even find a list of choices !
To find the distance between (7, -1) and (-8, -9),
you would build a sum under a square-root (radical)
symbol, and it would look something like this:
√ ( 225 + 64 ) .
Answer & Step-by-step explanation:
For this problem, we will be doing subtraction. First, we need to find the measurement of the angle beside the angle that measures 95°. We can do this by subtracting 95 from 180 because those angles are a linear pair meaning their measurements equal 180°.
180 - 95 = 85
So, the measurement of that angle is 85°. Now that we know this measurement, we can find the value of x. We can do this by adding 60 to 85 and then subtracting that sum from 180. All triangles have a total interior angle sum of 180°.
180 - (60 + 95)
180 - 155
25
So, the value of x is 25°