Answer:
The height of the pyramid is 
Step-by-step explanation:
we know that
The volume of the trapezoid pyramid is equal to

where
B is the area of the trapezoid base
h is the height of the pyramid
we have


substitute and solve for h


Answer:
1) Antonio's statement
2) <A = 123
Step-by-step explanation:
1) Antonio's statement is incorrect. This is because the opposite angles of a quadrilateral add up to 180°. Erin was incorrect because the opposite angles of this quadrilateral are unequal.
2) 2x+7+5x-2 = 180° (opposite angles of quadrilateral)
Now
7x+5 = 180
7x = 175
x = 25
<A = 5x-2
= 5(25)-2
= 125-2
= 123
Answer:
$259 532
Step-by-step explanation:
Step 1. Calculate the monthly payments on a 30-year loan.
The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate
of r % is

<em>Data:
</em>
We must express the interest rate on a monthly basis.
i = 6.55 %/yr = 0.545 83 %/mo = 0.005 4583
A = $425 500
n = 360 mo
<em>Calculation:
</em>




P = $2703.46
B. Total Payment (T) after 8 years
T = nP
T = 96 × 2703.46
T = $259 532
Michael will have paid $259 532 at the end of eight years.
Step-by-step explanation:

Answer:
There are two complex roots.
Step-by-step explanation:
When the discriminant is a negative number, the parabola will not intersect the x-axis. This means that there are no solutions/two complex solutions.