That's of course the 30/60/90 right triangle.

If you need to see the algebra, the acute angles in a right triangle are complementary, adding to 90 degrees:

x + 2x = 90

3x = 90

x = 30

8 0

3 years ago

Calculate the volume of the cylinder, where a = 18 and b = 11. Use 3.14 for pi and round your answer to the nearest tenth.

cupoosta [38]

Answer:

Volume of cylinder $=2797.7$

Step-by-step explanation:

Let $a$ be diameter and $b$ the height of the cylinder

$Then\ radius(r)=\frac{diamater\ (a)}{2}\\\\r=\frac{18}{2}\\\\r=9$

Volume of cylinder $=\pi\times(radius)^2\times(height)$

$=\pi\times(9)^2\times11\ \ \ \ \ \ (\pi=3.14)\\\\=3.14\times9\times9\times11\\\\=2797.74\\\\\approx2797.7$

6 0

3 years ago

It is known that 60 percent of all registered voters in the 42nd Congressional District are Republicans. Three registered voters

Gelneren [198K]

Answer:

0.11

Step-by-step explanation:

Let x be a random variable representing the number of registered voters in the congressional district. This is a binomial distribution since the outcomes are two ways. It is either a randomly selected registered voter is a conservative or not. The success would be that a randomly selected voter is a conservative. The probability of success, p = 60/100 = 0.6

The probability of failure, q would be 1 - p = 1 - 0.6 = 0.4

Given n = 10, we want to determine P(x = 4)

From the binomial distribution calculator,

P(x = 4) = 0.11

4 0

3 years ago