Answer:2.87
Step-by-step explanation:sin =opp/hyp
Sin 35=ac/5
Cross multiply
Sin 35 x 5 = ac
0.5736 x 5 =ac
2.868=ac
Ac=2.87
To figure out this problem break it down into steps.
We know that there are 1 - 25 or 25 cards in total, one card is taken out and not replaced so now there are only 24 cards.
25 - 1 = 24.
Find the probability of getting one number greater than 10, this would be all numbers from 10 - 25, which are 25 - 10 = 15 options to choose that will give you a value greater than 10.
Probability = 15/24 = 5/8.
For 2 cards simply multiply the probability by itself to get 2 cards where the number is greater than 10.
5/8 • 5/8 = 25/64.
The probability of getting 2 cards that are greater than 10, are 25/64.
This is the solution.
Answer:
4p
Step-by-step explanation:
Collect like terms 5p² − p²

#CarryOnLearning
Answer:
A. see below for a graph
B. f(x, y) = f(0, 15) = 90 is the maximum point
Step-by-step explanation:
A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)
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B. For f(x, y) = 4x +6y, we have ...
f(0, 0) = 0
f(0, 15) = 6·15 = 90 . . . . . the maximum point
f(10, 0) = 4·10 = 40
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<em>Comment on evaluating the objective function</em>
I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.
Answer:
-6
Step-by-step explanation:
Some nasty order of operations coming up.
Firstly, deal with that squared:
-12 / 3 * (-8 + 16 - 6) + 2
Simplify the bracket:
-12 / 3 * 2 + 2
Simplify -12 / 3:
-4 * 2 + 2
Simplify -4 * 2:
-8 + 2
Simplify:
-6