All categories

2 years ago

Find the value of x given in the right triangle

Mathematics

2 answers:

lesantik [10]2 years ago

7 0

Answer:

44.4

Step-by-step explanation:

Using SOH

sin(x)=7/10

x= 44.427

Eduardwww [97]2 years ago

4 0

Answer:

x ≈ 44.4°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = $\frac{opposite}{hypotenuse}$ = $\frac{7}{10}$ , then

x = $sin^{-1}$ ( $\frac{7}{10}$ ) ≈ 44.4° ( to the nearest tenth )

You might be interested in

jamie can walk to school in 3/4 hour. the model below shows the total number of hours he walked over three days. whice equation

katrin [286]

3*(3/4) = 9/4 = 2 (1/4)

In words, Jamie walked 2 hours and 15 minutes over three days.

7 0

2 years ago

What is the percent increase when 7,200 increases by 1,800?

marusya05 [52]

The answer is 25 percent

7 0

3 years ago

162 water bottles and 96 equals what

lesya [120]

The answer is that: $162
+ 96
=258$

8 0

3 years ago

A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each que

Assoli18 [71]

Answer:

Q1) The student has a 0.01% probability of passing the test.

Q2) She has a 99.91% probability of passing in the test.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he gets it correct, or he gets it wrong. So we solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

For this problem, we have that:

Question 1.

There are 50 questions, so $n = 50$ .

The student is going to guess each question, so he has a $\pi = \frac{1}{4} = 0.25$ probability of getting it right.

He needs to get at least 25 question right.

So we need to find $P(X \geq 25)$ .

Using a binomial probability calculator, with $n = 50$ and $\pi = 0.25$ we get that $P(X \geq 25) = 0.0001$ .

This means that the student has a 0.01% probability of passing the test.

Question 2.

Now, we need to find $P(X \geq 25)$ with $\pi = 0.70$ . So $P(X \geq 25) = 0.9991$

She has a 99.91% probability of passing in the test.

7 0

3 years ago

Read 2 more answers

What is the measure of angle ABC

Ghella [55]

Can you please attach the photo?

7 0

3 years ago