Answer:
137.26 m^3
Step-by-step explanation:
Put the numbers into the formula and do the arithmetic.
v = (1/6)(√3.14)(60 m^2)^(3/2) = 137.26 m^3
Answer: 
Explanation:
We plug the given coordinates into the distance formula
There isn't much we can do from there since we don't know the values of 'a' or 'b'. You could expand out each binomial, but it's more simplified being factored like that.
Answer:
x = -3 and x = 3/2
Step-by-step explanation:
2x^2 + 3x - 9 = 0
2x^2 + 6x - 3x - 9 =0
2x(x + 3) - 3(x + 3) = 0
(2x - 3)(x + 3) = 0
2x - 3 = 0; x = 3/2
x + 3 = 0; x = -3
Answer:
P(S ∪ T) = 3/4
Step-by-step explanation:
Given:
For mutually exclusive events S and T,
P(S ∪ T) = P(S) + P(T)
Therefore,
P(S ∪ T) = (5/8) + (1/8)
= 6/8
= 3/4
Answer:
x ≈ 95.6
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides of a right triangle. Here, the hypotenuse of the triangle and the side adjacent to the given angle are marked, so the relationship of choice is ...
Cos = Adjacent/Hypotenuse
__
Using the values shown, we have ...
cos(15°) = x/99
Solving for x gives ...
x = 99·cos(15°) ≈ 95.6
The length of the side marked x is about 95.6 units.
