<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.
Substituting a = 8, b = 15 and c = 17. Thus, we have;
Using Heron's formula, we have;
Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,
where 
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;
Thus, the volume of the right triangular prism is 450 cubic units.
I believe the answer is 2
Answer:
Step-by-step explanation:
Write down the slope-intercept form:
Where m is the slope and b is the y-intercept.
To turn the equation into slope-intercept form, isolate y on the left-hand side:
Rearrange the equation a bit:
Answer:
(4x - 1)(3x - 1).
Step-by-step explanation:
I think you mean 12x^2 - 7x + 1
= 12x^2 - 4x - 3x + 1
= 4x(3x - 1) -- 1(3x - 1)
= (4x - 1)(3x - 1).
Answer:
3.045%.
Step-by-step explanation:
We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.
We will use effective interest formula to solve our given problem.
, where,
r = Effective interest rate,
e = Mathematical constant,
r = Interest rate in decimal form.
Let us convert given interest rate in decimal form.
Substitute values:
Convert into percentage:
Therefore, the corresponding interest rate would be 3.045%.
