Help on these precalc problems 14-20

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

15) factor out cos: cos(x)(sin(x)+1)=0
Now this is true when either cos(x)=0 (x=pi/2 and 3pi/2)
Or when sin(x)=-1 (x=3pi/2)
So it's solutions are pi/2 and 3pi/2

You might be interested in

You have the numbers 1-24 written on slips of paper. If you choose one slip at random, what is the probability that you will not

ra1l [238]

The probability of selecting a number not divisible by 3 is: 2/3

Step-by-step explanation:

There are two methods to solve the question.

We can find the probability of numbers not divisible by 3
We can find the probability of numbers divisible by 3 and then find the complement of it

We will use the second method:

Given:

There are 24 slips

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}

n(S) = 24

Let A be the event that the slip number is divisible by 3

Then

A = {3,6,9,12,15,18,21,24}

n(A) = 8

The probability of number divisible by 3 is:

$P(A) = \frac{n(A)}{n(S)}\\=\frac{8}{24}\\=\frac{1}{3}$

The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.

The probability of selecting a number not divisible by 3 will be:

$=1-\frac{1}{3}\\=\frac{3-1}{3}\\=\frac{2}{3}$

The probability of selecting a number not divisible by 3 is: 2/3

Keywords: Probability

Learn more about probability at:

#LearnwithBrainly

8 0

3 years ago

A car's gas tank that is 40% full contains 12 gallons of gas. Show the math you used to find the maximum capacity of the gas tan

Lisa [10]

Answer: 30 gallons

Step-by-step explanation:

So fist we add 40% and $40%. That's 80 percent of the tank which is 12 + 12 = 24. Then we figure out half of 40 percent which is 20 which means its 6 gallons. Now we add. 12+12+6 which equals our answer 30 gallons

3 0

3 years ago

Read 2 more answers

Need hep on iready please!!!!!!!

Nesterboy [21]

Answer:

Step-by-step explanation:

I think its 3 because if its 6 then you divide. it by 2

5 0

3 years ago

Read 2 more answers

Write the recurring decimal 0.5 as a fraction in its simplest form.