All categories

3 years ago

What is the value of X? (geometry, right triangles)

Mathematics

1 answer:

Dahasolnce [82]3 years ago

8 0

Answer:

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{10}$ = $\frac{1}{2}$ ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5 → C

You might be interested in

What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary

tekilochka [14]

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

The mean absolute deviation is:

$MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}$

And the population standard deviation is:

$PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}$

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

$M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7$

The mean absolute deviation is:

$MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6$

And the population standard deviation is:

$PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2$

6 0

3 years ago

Leilani dropped an acorn from her tree house. It took 1.1 seconds to hit the ground below. Find the height in feet from which sh

ratelena [41]

Your answer is 0.605

3 0

3 years ago

HELPPP QUICK PLSS NO BOTS EITHER I WILL REPORT BUT PLS DONT IGNORE THIS HELP ME PLSS In the slope-intercept equation for a line

sergey [27]

Answer:

slope

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Since m is the coefficient of the x- term, then

The coefficient of the x- term gives the slope

5 0

3 years ago

What is 2(c+7)=2c+14

liq [111]

2(c+7)=2c+14

Use distributive property

2*c +2*7

2c+14=2c+14

Hope it helps!

3 0

3 years ago

The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o

Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

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

Approximately 95% of the measures are within 2 standard deviations of the mean.

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

In this problem, we have that:

Mean = 7010, standard deviation = 43.

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

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0

3 years ago