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____ [38]
3 years ago
13

Find the volume of the prism (Picture Provided)

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0
Volume = 12 m³

V = lwh
V = 4(2)(1.5)
V = (8)(1.5)
V = 12 m³
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Write as a numerical expression: “ Six less than twice a number is four “
VladimirAG [237]

Answer:

2x - 6 = 4

Step-by-step explanation:

Firstly, let's assume the number is x

Then, twice the number is 2 times x = 2x

6 less than twice the number is four

2x - 6 = 4

2x - 6 + 6 = 4 + 6

2x = 10

2x/2 = 10/2

x = 5

6 0
3 years ago
A conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base
Aliun [14]

Answer:

2\ cm

Step-by-step explanation:

We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224=  \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h

As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel

Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm

8 0
3 years ago
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vampirchik [111]
A. Yes
B. Yes
C. Yes
D. No
Me and my friend think that's the answer hope this helps I don't brainiest just trying to help
7 0
3 years ago
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MARKING PEOPLE AS BRAINLIST ONLT ANSWER IF U KNOW
klasskru [66]

Answer:

ITS B

Step-by-step explanation:

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Which statement is true about whether Z and B are independent events?
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The answer is the first one im taking that test rn lol
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