V=LWH
small=12*8*4=384
large=20*15*9=2700
space=large-small
space=2700-384
space=2316
there is 2316in^3 left
Answer:
K = (1/2)r^2(sin(θ) +θ)
Step-by-step explanation:
The area of the triangle to the left is ...
A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)
The area of the sector to the right is ...
A2 = (1/2)r^2θ
so the total area of the blue shaded region is ...
K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ
K = (1/2)r^2(sin(θ) +θ)
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines have the same slope (m) and different y-intercepts (b)
<u>1) Determine the slope (m)</u>
Rearrange this equation in slope-intercept form (so it's easier for us to identify the slope)
Subtract 6x from both sides to isolate 2y
Divide both sides by 2 to isolate y
Now, we can tell clearly that -3 is in the place of m. Therefore, because parallel lines have the same slope, we know that the line we're solving for will also have a slope of -3. Plug this into :
<u>2) Determine the y-intercept</u>
Plug in the given point (-1,7)
Subtract 3 from both sides
Therefore, the y-intercept of the line is 4. Plug this back into :
I hope this helps!
Answer: -36
Step-by-step explanation: a negative and a negative give a positive so -36/-3=12
(to check your answer you can also always just multiply the two numbers ex: 12 x -3= -36)