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kupik [55]
3 years ago
13

Suppose you take the small prism and stack it on top of the larger prism. What will be the volume of the composite figure?

Mathematics
1 answer:
Degger [83]3 years ago
3 0
Find the volume of the first figure, then find the volume of the second figure, then add them together.
V=lwh
V(1)=(15)(12)(6)
= 1,080in^3
V(2)=(12)(6)(6)
= 432in^3
--------------------------------------------
1,080+432= 1,512 in^3
--------------------------------------------
Your answer should be 1,512
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The graph below shows the value of Edna's profits f(t), in dollars, after t months:
umka21 [38]
Since we know that the graph of our quadratic function has x-intercepts at (6,0) and (18,0), x=6 and x=18 are the zeroes of our quadratic. To find our quadratic we are going to factor each zero backwards and multiply them:
x=6
x-6=0
x=18
x-18=0

(x-6)(x-18)=x^{2}-6x-18x+108
=x^{2}-24x+108

Now that we have our quadratic function, we are going to use the average formula: m= \frac{f(9)-f(3)}{9-3}
where
f(9) is the function evaluated at  the <span>9th month
</span>f(3) is the function evaluated at the 3rd month 

m= \frac{f(9)-f(3)}{9-3}
m= \frac{[9^{2}-24(9)+108]-[3^{2}-24(3)+108]}{9-3}
m= \frac{-27-45}{6}
m= \frac{-72}{6}
m=-12

We can conclude that the closest approximate average rate of change for Edna's profits from the 3rd month to the 9th month is: <span>B. −11.63 dollars per month.</span>

6 0
3 years ago
Read 2 more answers
Find the measure of the missing angle.
Nostrana [21]

180 minus 90 equals 90, divided by 2, the answer is 45 degrees

5 0
3 years ago
Augustin has 20 different chess boards. If he played 3 games per day, each game played on a different board, how long would it t
Nutka1998 [239]

Answer:

514 days

Step-by-step explanation:

We use the formula (r+n-1)/r(n-1)

There are 1540 combinations. Then, we'll divide them by three because were not just finding the amount of combinations, but the time it'd take to play them all.

We get 513.333(cont.)

thats not really possible, so we're gonna go with 514 instead, rounding up. Normally we'd round down, because the number behind the decimal is below 5, but we really want to make sure we get every combination in there.

Hope this is helpful!

8 0
3 years ago
Follow the directions to solve the system of equations by elimination.
omeli [17]

Answer:

X= 1/2 Y= 5

Step-by-step explanation:

8x+7y=39-------------(1)--------×2

4x-14y= -68-----------(2)-------×1

16X + 14Y = 78--------(3)

4X- 14Y = -68----------(4)

Addy equation (4) and (3)

20X = 10

dividing bothsides by 20

20X/20= 10/20

X = 1/2

substitute the value of X into equation (1)

8X+7Y = 39

8(1/2)+7Y= 39

4+7Y = 39

7Y = 39-4

7Y = 35

dividing bothsides 7

7Y= 35/7

Y = 5

5 0
1 year ago
Ur wrong its acutully 39.8 not 39.75 u came up with the wrong answer.
alukav5142 [94]
It is 39.8 your right
3 0
3 years ago
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