Answer:
C
Step-by-step explanation:
Multiply the top and bottom, both by sqrtx-sqrt5. This is in order to rationalize the denominators.
You get answer C.
Answer:23
Step-by-step explanation:
Answer:
200√3
Step-by-step explanation:
The triangle given here is a special right triangle, one with angles measuring 30-60-90 degrees. The rule for triangles like these are that the side opposite the 30° angle can be considered x, and the side opposite the 60° angle is x√3, while the hypotenuse, or side opposite the right angle, is 2x. All we need to know here are the two legs to find the area.
Since b is opposite the 30° angle, it is x, while side RS is opposite the 60° angle, meaning it is equal to x√3, meaning that the area of the triangle is 1/2*x*x√3. We can substitute in 20 for x, making our area 1/2*20*20√3. Multiplying we get 10*20√3, or 200√3.
Answer:
30 and 3.4641
Step-by-step explanation:
The mean of a binomial distribution is:
μ = np
And the standard deviation of a binomial distribution is:
σ = √(npq)
Here, n = 50, p = 0.60, and q = 0.40.
μ = np = 50 × 0.60 = 30
σ = √(npq) = √(50 × 0.60 × 0.40) = 3.4641
Answer:
the answer would be B
Step-by-step explanation:
for the slope you would need to count up then over between the two points and do that until you reach where the line crosses or in this case would cross for the y-intercept