Answer:
The value of x is 12 feet
Step-by-step explanation:
The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.
To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.
Area of rectangle = length X breadth
Area of triangle = 1/2 base X height.
However, to calculate the area of the triangle, we need to find its height first.
The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.
Height of triangle = 16 ft - 10 ft = 6 ft
recall area = 156 square feet.
We now have most of our missing dimensions
We can now set up an equation as follows:

Therefore the value of x is 12 feet
That would be written as:

And the step-by-step equation would be:
→ we take the 2 to the right side of the equation and do the IO*
→we solve for 
→ final answer
*Ps - IO is not an existing term and stands for inverse operation. In this case, because when we take to 2 to the right side of the equation (the 2 is a power) it'll have to turn into a square root (because exponents and roots are inverse operations)
Hope it helped,
BioTeacher101
H=1in
You would need to use the equation V= pie times radius squared times height. Since it gives you the diameter, you would need to divide 3 by 2 to get 1.5. So now you would plug in 7.1=pie×1.5(squared)×h
Now solve the equation to get 1in.
And you can check this answer by using this same equation to plug in pi×1.5 (squared)×1 and you will get 7.1 as your volume.
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ANSWER

EXPLANATION
The general term for the sequence is

To find the 55th term, we have to substitute

in to the general term and simplify.
This implies that,




Therefore the 55th term is 161.