Answer:
A.
B.
Step-by-step explanation:
We have been given bases of two triangular prisms.
A. Since we know that volume of triangular prism is base area of the prism times height of the prism.
Since base of our given prism is right triangle, so area of the base of prism will be:
Upon substituting our given values in volume formula we will get,
Therefore, volume of the prism made by triangle PQR is 12960 cubic inches.
B. Let us assume that both prism are similar, so we can use proportions to solve for the volume of triangle XYZ.
Let us find the proportion between the sides of both triangles.
Since for volume of triangular prism we multiply base area and height of the prism, this means we will have to multiply the proportion of each side length 3 times to find the proportion of volumes between our both prism.
So we can set proportion for volume of both prisms as:
Upon substituting volume of prism made by triangle PQR we will get,
Let us multiply both sides of our equation by 7776 cubic inches.
Therefore, the volume of prism made by triangle XYZ is 2304 cubic inches.
You times the 5 by the four and then times the 9 by the 4 and you should get your answer
Well if you attach an image that would be helpful first off.
If the line is "Positive" your slope will look something like 5 or 3/2, something positive.
If the line is vertical, your slope is undefined.
If the line is horizontal, your slope is zero.
If the line is pointing downward, negative, your slope is negative.
Answer:
Step-by-step explanation:
Given that,
Hudson Bay tides vary between and .
Tide is at its lowest when
Completes a full cycle in 14 hours.
To find:- What is the amplitude, period, and midline of a function that would model this periodic phenomenon?
So, The periodic function of this model is
...................(1)
where,
Then putting the value in given Equation(1) we get,
Amplitude =
Now, At it complete full cycle in because it is at lowest at t=0sec.
∵
∴
Hence
To rewrite this expression we can use the sum of cubes identity:
. Notice that we can express 8 as a cube:
, so we can rewrite our first term as
. Since our second term does not have a exact cubic root, we must rewrite as
. Now we have
and
, so lets use the sum of cube identity to rewrite our expression:
We can conclude that we can use the sum of cubes identity to rewrite the expression <span>8x^3+243 as </span>