All categories

2 years ago

Use the diagram and side lengths of triangle RST to determine the angles used for the trigonometric ratios

Mathematics

2 answers:

Effectus [21]2 years ago

8 0

sin(R) = 12/13

tan(<span>T</span>) = 5/12

sergejj [24]2 years ago

5 0

Sin (r) = 12/13
tan (t) = 5/12

You might be interested in

What is an equation of the line that passes through the point (3,-1) and (8, 9)?

Evgesh-ka [11]

Answer:

4) y = 2x - 7

Step-by-step explanation:

First we have to find the slope by using the following formula....

let (3, - 1) be $(x_{1}, y_{1} )$ , let (8, 9) be $(x_{2} ,y_{2} )$ , and m be the slope, then....

$m = \frac{y_{2} -y_{1} }{x_{2} - x_{1} } = \frac{9 + 1}{8 - 3} = \frac{10}{5} = 2$

Now that we know the slope we can find the equation of the function by using point-slope for of the function which look like this.....

$y -y_{1} = m(x - x_{1} )\\y + 1 = 2(x - 3)\\y + 1 = 2x - 6\\y = 2x - 7$

3 0

2 years ago

The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what

harkovskaia [24]

Answer:

78.88%

Step-by-step explanation:

We have been given that

$\mu=25,\sigma=4,x_1=20,x_2=30$

The z-score formula is given by

$z-\text{score}=\frac{x-\mu}{\sigma}$

For $x_1=20$

$z_1=\frac{20-25}{4}\\\\z_1=-1.25$

For $x_2=30$

$z_2=\frac{30-25}{4}\\\\z_2=1.25$

Now, we find the corresponding probability from the standard z score table.

For the z score -1.25, we have the probability 0.1056

For the z score 1.25, we have the probability 0.8944

Therefore, the percent of the trees that are between 20 and 30 years old is given by

0.8944 - 0.1056

= 0.7888

=78.88%

6 0

2 years ago

Read 2 more answers

Match each statement in the proof with the correct reason.

Svetach [21]

Answer:

area is equal to base times height

5 0

2 years ago

The percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-sha

xxMikexx [17]

Answer:

a. The empirical rule.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

So the correct answer is:

a. The empirical rule.

3 0

2 years ago

What does x stand for in 4+x=3x

Irina18 [472]

x stands for a variable, in which the variable would be replaced by a number(s) that would make the equation true.

Hope this helps

7 0

2 years ago