Answer:
Step-by-step explanation:
area of square=5×5=25 u²
Answer:
58%
Step-by-step explanation:
Out of 60 students who take math, 35 of them will also have science. The desired probability is ...
35/60 = 0.58333... ≈ 58%
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More formally, ...
P(S | M) = P(S&M)/P(M)
= 35%/60% = 7/12 ≈ 58%
Answer:
574.85 in² (approx.)
Step-by-step explanation:
The sphere's volume equation is V = (4/3) * π * r³, which we can set equal to the given volume of 1296 in³:
1296 = (4/3) * π * r³
Now solve for r to get r ≈ 6.7635 in.
The surface area of a sphere is SA = 4 * π * r². Now substitute r into that equation to get:
SA = 4 * π * (6.7635)² ≈ 574.85 in²
3(x-1)^2 +2
This is your answer in vertex form, your h and k values are the vertex. Solving the function by using b/2a, we get that h is 1. ( in the equation 3 is your a, 6 is b and 5 is c.). ( 6/2(3)) = 1. We can then plug in 1 as x into the original equation and get positive 2 ( 3(1)^2 -6(1) +5) = 3-6+5 = 2. This is your vertex. In the function, your a value will always stay the same as this is your shrink or stretch. In this case, a is 3 so it will go outside the parenthesis. Put that all together and you get the function above.
Hope this helps :)