Answer:
Step-by-step explanation:
Let us assume that both prisms are similar, so we can use proportions to solve for the volume of prism made by 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.
<h2>
Dilations and Scale Factors</h2>
When we're solving with scale factors, we either divide or multiply.
If the shape becomes larger, we multiply to get the new length.
If the shape becomes smaller, we divide to get the new length.
<h2>Solving the Question</h2>
We're given:
- Original side length is 2.5 units
- Scale factor = 6
Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.
2.5 x 6 = 15
Therefore, the missing side length is 15 units.
<h2>Answer</h2>
15 units
Answer:
L = 17 m W = 12 m
Step-by-step explanation:
Here is the answer.
Answer:

Step-by-step explanation:
If angle C is the right angle, then side c is the hypotenuse.
Use Pythagoras' Theorem
to find the length of side a:
Given:





<u>Tan Trig Ratio</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given:
= A- O = side opposite angle A = a = 9
- A = side adjacent angle A = b = 2√22


v(x) has the largest value when x=4.