Answer:
x=15,y=12
Step-by-step explanation:
Volume of a cylinder is pi*r^2*h so we get
3.14*4.5^2*10=636.2cubic feet or ft^3
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Answer:
7/36
Step-by-step explanation:
1 die has 6 faces
When two dice are rolled, the total number of outcomes
= 6 × 6 = 36
The Probability of having(5) =
(1 & 4), (2 & 3) , ( 3 & 2), (4 & 1)
= 4
The probability of having (10) =
(5 & 5), (4 & 6) , ( 6 & 4)
= 3
The probability that the score on the dice is either 5 or 10.
P(5) + P(10)
= 4/36 + 3/36
= 7/36
The value of a2+b2 = 0.05
The value of a3+b3 = 41.73
Concept: (a+b)2 = a2+b2+2ab
(a-b)2 = a2+b2-2ab
(a+b)3 = a3+b3+3a2b+3ab2
(a-b)3 = a3-b3-3a2b+3ab2
(I) a²+b²=(1/7-4✓3)²+(1/7+4✓3)²
⇒ ( 1/49 - 48) +(1/49 + 48)=(1-2352/49) + (1+2353/49)
⇒ -47.97 +48.02= 0.05
(ii) a³+b³=(1/7-4✓3)³+(1/7+4✓3)³
⇒(-6.78)³ +(7.07)³
⇒-311.66 +353.39= 41.73
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