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svet-max [94.6K]
3 years ago
9

10. what is the volume of the prism to the nearest whole unit?

Mathematics
2 answers:
Ainat [17]3 years ago
6 0
To calculate the volume of the rectangular prism and the triangular prism you will multiply the area of the base by the height of the prism.

1.  V = BH
     V = lwH
           12 x 8 x 4
     V = 384 cubic inches

2.   V = BH
      V = 1/2bhH
            1/2 x 12 x 2 x 18
      V = 216 cubic feet


s2008m [1.1K]3 years ago
4 0

Answer:

10. Option 1

11. Option 3

Step-by-step explanation:

Given the dimensions of rectangular prism. we have to calculate the volume of prism.

Length, l=12 inches

Width, w=8 inches

Height, h=4 inches

Volume=lwh=12\times 8\times 4=384\thinspace in^3

Option 1 is correct.

Given the dimensions of triangular prism. we have to calculate the volume of prism.

Length, H=18 ft

Base, b=12 ft

Height, h=2 ft

V=\frac{1}{2}bhH=\frac{1}{2}\times 12\times 2\times 18=216ft^3

Option 3 is correct.

         

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Tamiku [17]
96/8=12 so the answer is 12m
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3 years ago
Kira, goran, & joe sent a total of 90 text messages during the weekend. Goran sent 5 fewer messages than Kira. Joe sent 3 ti
MissTica

Answer:

Kira sent 19 text messages, Goran sent 14  text messages  and Joe sent 57  text messages.

Step-by-step explanation:

Let be "k" the number of text messages that Kira sent during the weekend, "g" the number of text messages that Gora sent during the weekend and "j" the number of text messages that Joe sent during the weekend.

We know know that they sent a total of 90 text messages then:

k+g+j=90

Goran sent 5 fewer messages than Kira. This is:

g=k-5

And Joe sent 3 times as many messages as Kira. Then:

j=3k

The steps to solve this are:

- Substitute the second equation and the third equatio into the first equation  and then solve for "k":

k+(k-5)+(3k)=90\\\\5k-5=90\\\\5k=90+5\\\\k=\frac{95}{5}\\\\k=19

- Substitute this value into the second equation to find "g":

g=19-5=14

- Substitute the value of "k" into the third equation to find "j":

j=3(19)=57

4 0
3 years ago
Find p and q for which the linear eqn has infinite solutions
jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒  y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0
3 years ago
How to write 309,017 in word form
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3 0
3 years ago
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The base of a triangle is 12 meters and the height is 6 meters. What is the area of the triangle?​
-BARSIC- [3]

Answer:

36

Step-by-step explanation:

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