Answer:
the volume of the triangular prism is 1,185.6 in³
Step-by-step explanation:
To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length
Area of triangle = × b×h
From the diagram ,the height of the triangle is given to be 10.4 in and the base is given to be 12 in.
We will now proceed to insert the values into the formula;
Area of triangle = × b×h
= × 12×10.4
= × 124.8
=62.4
Area of triangle is 62.4 in²
From the diagram is given to be 19 in
Volume of triangular prism = area of triangular prism × l
=62.4 in² × 19 in
=1,185.6 in³
Therefore the volume of the triangular prism is 1,185.6 in³
Answer:
3
Step-by-step explanation:
hope it is right and is helpful
Answer:
F = $13,802.31
she can finance $13,802.31 with this loan.
Step-by-step explanation:
Given;
Rate r = 7% = 0.07
Time t = 4 years
Payment per month MP = $250
Number of months per year n = 12
This can be solved using compound interest for future value series formula;
F = future value
F = MP(((1 + r/n)^(nt) - 1)/(r/n))
Substituting the given values, we have;
F = $250(((1 + 0.07/12)^(12×4) - 1)/(0.07/12))
F = $13,802.31
Let C = the Chinese books.
Let E = the English language books.
C = 4/5 E
E - 300 = C - 180 Notice how you get this equation. You take 300 away from the English books and 180 from the Chinese and according to the question, you get an equal number of both. Put c = 4/5E into the second equation.
E - 300 = 4/5 E - 180 Add 300 to both sides.
E = 4/5 E - 180 + 300
E = 4/5 E + 120 Now subtract 4/5 E from both sidies.
E - 4/5 E = 120
1/5 E = 120 Now multiply by 5
E = 120 * 5
E = 600
So the number of books are
600 written in English
4/5 of 600 = 2400 /5 = 480 Chinese books.
English 600
Chinese 480
Answer:
Step-by-step explanation:
Connecting any point of original figure with the same of the image
For example point C with C'
The line goes through the origin (0, 0)
<u>And the coordinates changed as:</u>
It means the rotation is 180°