Answer:
Prism volume = lbh
= 10*8*12
= 960cm^3
Note: I'm assuming the hole was cut right through it...
Hole volume = lbh
= 2*3*12
= 72cm^3
Final volume = 960 - 72 = 888cm^3
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Answer:12 feet by 9 feet
Step-by-step explanation:
1/4 = 3 feet, so every 1/4 of an inch there is three feet, e.g. 3/4 inches of that scale is 9 feet, 1 1/2 inches would be 18 feet, make sense?
Answer:
m < amc = 54°
Step-by-step explanation:
< amb and < bmc are complementary angles whose sum equals 90°.
Therefore, to find the value of 2x°, we must first solve for x.
We can establish the following equality statement:
< amb + < bmc = < amc
< 2x° + (x + 9)° = 90°
Combine like terms:
2x° + x° + 9° = 90°
3x° + 9° = 90°
Subtract 9 from both sides:
3x° + 9° - 9° = 90° - 9°
3x = 81°
Divide both sides by 3 to solve for x:
3x/3 = 81°/3
x = 27°.
Since x = 27°, substitute its value into 2x° to find m < amc:
2x° = 2(27°) = 54°
Therefore, m < amc = 54°
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First convert the numbers to get the same denominator
1/3=4/12
5/6=10/12
5/12
Then add them all together
4/12+10/12+5/12= 19/12
Then reduce
1 7/12
Your answer is 1 ton and 7/12 of a ton
176 = a1 * r^4
704 = a1 * r^6
dividing:-
r^2 = 706/174 = 4 so r = +/- 2
a1 = 176 / 2^4 = 176/16 = 11
So 11 is the first term
