In a class there are 10 students who play football and cricket 7 students who do not play football or cricket 14 students who pl
ay football 21 students who play cricket Find the probability that a student chosen at random plays football and cricket
1 answer:
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Answer:
A
Step-by-step explanation:
We want to solve the equation:
To do so, we can rewrite the equation.
Recall the double-angle for sine:
By substitution:
Distribute:
We can subtract 3cos(x) from both sides:
And factor:
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Answer: 381.51 cubic inches
Step-by-step explanation:
1. Use the formula: V = πh, or in this case, 3.14(
)(6)
2. Simplify to 3.14(20.25)(6)
3. Simply multiply all three numbers using a calculator, or one by one if that's the preferred option.
4. You get: 381.51 cubic inches.
Use the distributive property to multiply −2 by x+1.
Combine 7x and −2x to get 5x.
Subtract 6x on both sides.
Combine 5x and −6x to get −x.
Add 2 to both sides.
Add 14 and 2 to get 16.
Multiply both sides by −1.