384 in^{3}. because if you have to add the bases together then so 7+5=12 then you times the width and height together so 4*8=32. Then you times 12 * 32 = 384.
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25% because if you have 4 cards which would equal 100% and you are dealt 2 you have a 25% chance of getting any of the 4. (25x4=100)
But, if you are talking about probability of color it would be 50% because if you have 2 red cards and the total deck is 4 cards, then that is already half of the deck. And if you have 2 black cards then that makes up the other half. but if you are talking individually like Red 1 and Red 2 and Black 1 and Black 2 separating them would create a 25% probability. So, x= 25% (infivudually) or 50% (by color)
Answer:
The radius of the cone is 9cm
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
We were told that the radius r and the height h are equal
I.e r=h
Substituting h=r in the formula we have
V= 1/3(πr²*r)
V =1/3(πr³)
To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)
763.02= 1/3(3.142r³)
763.02= (3.142r³)/3
763.02*3=3.142r³
2289.06=3.142r³
r³=2289.06/3.142
r³= 728.54
r= ³√728.54
r= 8.99cm
≈r= 9cm
Just plug in the values for m
so the possible values for k are
when m=5
when m=7
when m=9
so the possible values for k are {4,5,6}
Answer:
Step-by-step explanation:
- DC = AC = x is the radius
<u>Using the Pythagorean theorem, find x:</u>
- (x + 9)² - x² = 15²
- x² + 18x + 81 - x² = 225
- 18x = 225 - 81
- 18x = 144
- x = 144/18
- x = 8
