Answer:
180x ft cubed
Step-by-step explanation:
1) The formula for the volume of a rectangular prism is length x width x height
... shortened it is "lwh"
2) Plug your numbers (and "x") into the equation doesn't tell you which is which, but since we are multiplying it doesn't matter.
It should now look like this "(15)(12)x"
3) Simplify.
180x ft cubed
Answer:
Step-by-step explanation:
We have been given that Sandra knows the Pythagorean identity 
. She is told that 
and 
.
First of all, we will find value of sine theta using the given identity.
Therefore, .
Answer:
Yes!
Step-by-step explanation:
There are no repeating y values or x values!!
ookies. OK
How to calculate 12 divided by 4
Long Division
Here we will show you step-by-step with detailed explanation how to calculate 12 divided by 4 using long division.
Before you continue, note that in the problem 12 divided by 4, the numbers are defined as follows:
12 = dividend
4 = divisor
Step 1:
Start by setting it up with the divisor 4 on the left side and the dividend 12 on the right side like this:
4 ⟌ 1 2
Step 2:
The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
4 ⟌ 1 2
Step 3:
Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
0
4 ⟌ 1 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
4 ⟌ 1 2
- 0
1
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
4 ⟌ 1 2
- 0
1 2
Step 6:
The divisor (4) goes into the bottom number (12), 3 time(s). Therefore, put 3 on top:
0 3
4 ⟌ 1 2
- 0
1 2
Step 7:
Multiply the divisor by the result in the previous step (4 x 3 = 12) and write that answer at the bottom:
0 3
4 ⟌ 1 2
- 0
1 2
1 2
Step 8:
Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.
0 3
4 ⟌ 1 2
- 0
1 2
- 1 2
Answer:
a = -2/3
Step-by-step explanation:
Solve for a over the real numbers:
(3 a + 2) (4 a^2 - 2 a + 9) = 0
Split into two equations:
3 a + 2 = 0 or 4 a^2 - 2 a + 9 = 0
Subtract 2 from both sides:
3 a = -2 or 4 a^2 - 2 a + 9 = 0
Divide both sides by 3:
a = -2/3 or 4 a^2 - 2 a + 9 = 0
Divide both sides by 4:
a = -2/3 or a^2 - a/2 + 9/4 = 0
Subtract 9/4 from both sides:
a = -2/3 or a^2 - a/2 = -9/4
Add 1/16 to both sides:
a = -2/3 or a^2 - a/2 + 1/16 = -35/16
Write the left hand side as a square:
a = -2/3 or (a - 1/4)^2 = -35/16
(a - 1/4)^2 = -35/16 has no solution since for all a on the real line, (a - 1/4)^2 >=0 and -35/16<0:
Answer: a = -2/3
