The volume of the frustrum is the difference in the volumes of these two pyramids:
<span>30 * 5^2 / 3 - 18 * 3^2 / 3 </span>
<span>= 750/3 - 162/3 </span>
<span>= 250 - 54 </span>
<span>= 196 cubic inches.
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You're Answer is <span>A- 196 cu in.</span>
Step 1: Factor out variable m.<span><span>m<span>(<span><span>−<span>50n</span></span>+35</span>)</span></span>=<span>3p</span></span>Step 2: Divide both sides by -50n+35.<span><span><span>m<span>(<span><span>−<span>50n</span></span>+35</span>)</span></span><span><span>−<span>50n</span></span>+35</span></span>=<span><span>3p</span><span><span>−<span>50n</span></span>+35</span></span></span><span>m=<span><span>3p</span><span><span>−<span>50n</span></span>+35</span></span></span>Answer:<span>m=<span><span><span>3p</span><span><span>−<span>50n</span></span>+35</span></span></span></span>
Answer:
1) (x + 3)(3x + 2)
2) x= +/-root6 - 1 by 5
Step-by-step explanation:
3x^2 + 11x + 6 = 0 (mid-term break)
using mid-term break
3x^2 + 9x + 2x + 6 = 0
factor out 3x from first pair and +2 from the second pair
3x(x + 3) + 2(x + 3)
factor out x+3
(x + 3)(3x + 2)
5x^2 + 2x = 1 (completing squares)
rearrange the equation
5x^2 + 2x - 1 = 0
divide both sides by 5 to cancel out the 5 of first term
5x^2/5 + 2x/5 - 1/5 = 0/5
x^2 + 2x/5 - 1/5 = 0
rearranging the equation to gain a+b=c form
x^2 + 2x/5 = 1/5
adding (1/5)^2 on both sides
x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2
(x + 1/5)^2 = 1/5 + 1/25
(x + 1/5)^2 = 5 + 1 by 25
(x + 1/5)^2 = 6/25
taking square root on both sides
root(x + 1/5)^2 = +/- root(6/25)
x + 1/5 = +/- root6 /5
shifting 1/5 on the other side
x = +/- root6 /5 - 1/5
x = +/- root6 - 1 by 5
x = + root6 - 1 by 5 or x= - root6 - 1 by 5
Your answer would be 64 in².
To find the surface area, you just need to find the area of each of the shapes shown and add them together.
We can find the area of one of the triangles by doing:
(base × height)/2
(6 × 4)/2 = 24/2 = 12
As there are 4 identical triangles, the area of all of them would be 12 × 4 = 48 in².
Now we need to find the area of the square in the middle, which would be 4 × 4 = 16 in².
Adding these together gives us 16 + 48 = 64 in²
I hope this helps!
Answer:
120
Step-by-step explanation:
supplementary equal up 180
