Answer:
y = 90
Step-by-step explanation:
If y varies jointly as x and z, then;
y = kxz
If y = 18 when x = 2 and z = 3
18 = k(2)(3)
18 = 6k
k = 18/6
k = 3
To get y when x = 5 and z = 6
y = kxz
y = 3(5)(6)
y = 15*6
y = 90
Hence the value of y is 90
The surface area of the triangular prism is 1664 square inches.
Explanation:
Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.
The other two sides of the triangle are 20 inches each.
We need to determine the surface area of the triangular prism.
The surface area of the triangular prism can be determined using the formula,

where b is the base, h is the height, p is the perimeter and l is the length
From the given the measurements of b, h, p and l are given by
,
,
and

Hence, substituting these values in the above formula, we get,

Simplifying the terms, we get,

Adding the terms, we have,

Thus, the surface area of the triangular prism is 1664 square inches.
Answer:
Step-by-step explanation:
The 6x^2 because 6 is not a perfect square.
The 3 goes with the square root you don’t need to multiply or anything like that. If you need to simply for example 3 square root of 20 which is when 3 is outside the square root sign. The 20 will be separated with 4*5 in the square root and then you will square root the 4 leaving the 5 in and bringing 2 out. Now you can’t just bring it out and forget about the 3 outside you need to multiply that 2 and 3 and you get 6! So you final answer is 6 square root 5. Hope this helps reply if you have a question!