Answer:
Step-by-step explanation:
20 times 30 is 600!
600 times 100 is 60,000!
The answer is 60,000!
Answer:
21/4
Step-by-step explanation:
(5 * 4) + 1
20 + 1
21/4
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
Answer:
4 can be rewrite as 2•2, and that's the same as 2².
8 can be rewrite as 2•2•2, and that's the same as 2³
So we can rewrite the whole expression as:
2^x = (2²)⁸•(2³)⁴
2^x = 2¹⁶•2¹²
2^x = 2²⁸
So x = 28
Answer:
1/48
Step-by-step explanation:
This is a case of joint probability, and the desired result is the product of P(spins a 5) and P(rolls a 6): (1/8)(1/6) = 1/48.