The hypotenuse of a right triangle is equal to the square root of the two sides raised to the second power added together.
This is known as the Pythagorean theorem.
a^2 + b^2 = c^2
So the equation for volume is V=Bh
V is volume, B is area of the base, and h is height
To find the area of the base we need to multiply the height times the base of the triangle and divide by 2
(16*12)/2=96
Now multiply times the height
or 24
The volume of the prism of 2304 mm^3
Answer:
Step 2.
Step-by-step explanation:
When you have a coefficient on a side of the equation that you need to get rid of, you must divide by the number. For example, in the problem:
3(x+8)² = 75
Here, you need to divide both sides by '3' instead of multiplying, which was done instead. Then you get:
(x+8)² = 25.
Therefore, his mistake was made at Step 2.
It does not equal [tex](x-2)(2x+6) because when the constant is expanded, it isn't the same as the original quadratic.
The value of a in the exponential function is 4/5.
Given the exponential function is f(x)=a(3/2)ˣ.
An function may be a mathematical relation of the subsequent form: f(x)=aˣ. where x may be a variable, and a could be a constant called the exponential of the function.
When multiplying the any function by a constant, we may expand or shrink the function in the y-direction.
y=a(b)ˣ
If a>1 then the function will enlarge.
If a<1 then the function will shrink.
When a=4/5
Then 4/5<1 means the function would shrink.
When a=5/4
Then 5/4>1 means the function would enlarge.
When a=3/2
Then 3/2>1 means the function would enlarge.
When a=7/4
Then 7/4>1 means the function would enlarge.
Hence, the given function f(x)=a(3/2)ˣ would shrink when a=4/5.
Learn more about exponential function from here brainly.com/question/2456547
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