The formula to get the volume of the triangular prism is;
V = B x H1 x H2
where;
B = is the area of the base of the triangle
H1 and H2= are the height of the triangle and the height of the triangular prism.
now, to find the area of the base simply use the formula
A = 1/2 B x H
where B is the value of the base and H is the value of the height of the triangle.
given the formula we can derive another formula to get the volume of the triangular prism.
V = 1/2 B x H1 x H2
given the formula, you can now substitute the values
.
V = 1/2 (3 in. x 8 in. x 9 in.)
V = 1/2 (216 in.^3)
V = (216 in.^3)/2
V = 108 in.^3 this is the final answer
Answer:
-70.075
Step-by-step explanation:
it's answer hope it helps you
Based on the information provided, it can be inferred that the lender made an excellent estimate; was equal to actual closing costs (option A)
<h3>How do you know what the lender's estimate was?
</h3>
Based on the information provided, the lender estimated that the closing cost is equal to 3% of the $ 180,000 loan. To calculate that value we must do the following operation:
- $ 180,000 / 100 x 3% = $ 5,400.
Based on the above, the estimated closing cost for that loan is $ 5,400.
<h3>How to know the real cost of closing the loan?
</h3>
To know the real cost of the loan closing we must add the following values:
- Closing Cost Charge Loan origination $ 345
- Title insurance $ 600
- Attorney's fees $ 1,350
- Appraisal $ 480
- Inspection $ 550
- Recording fees $ 175
- Escrow $ 1,900
$ 1,900 + $ 175 +% 550 + $ 480 + $ 1,350 + $ 600 + $ 345 = $ 5,400.
According to the above, the lender made a very precise estimate because his calculation hit the exact value of the closing cost (option A)
Learn more about lender in: brainly.com/question/3268275
9514 1404 393
Answer:
BD = 14
Step-by-step explanation:
The Pythagorean theorem can be used to find the lengths of CD and BC.
CD² +12² = 13²
CD = √(169 -144) = √25 = 5
__
BC² +12² = 15²
BC = √(225 -144) = √81 = 9
__
The length BD is then ...
BD = BC +CD
BD = 9 + 5 = 14
The length of side BD is 14 units.
You would divide 8 by 9 to get .8 (the 8 repeats)
Rounded to the thousandths, because the 8 repeats.