Hello:
equation is the line is : y = ax+b a is a slope
y = (-3/4)x+b
<span>passing through the point (−3;−3) : -3 =(-3/4)(-3)+b
y = (-3/4)x-(21/4)
</span>We draw the <span>Graph by two points : A(-3;-3) B(0;-21/4)</span>
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
A=pi times r2 so you would do 3.14 times 8.6 ^2 and your answer would be 232.35
Answer:
c. 6.2i - 4.2j
Step-by-step explanation:
The vector projection when the angle θ not known can be calculated using the following property of the dot product:

Where the dot product of two vectors is given by:

And the magnitude of a vector is given by:

Using the previous definition, let's calculate the projection of w onto u:
First let's calculate the dot product between w and u:

Now let's find the magnitude of u:

So:

Therefore:

Answer:
52000
Step-by-step explanation:
the number by the thousands place is nine and it is above four so you up the thousands place to 2 so it is 52000