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3 years ago

Is anyone in geometry (10th-grade math)? I need some help

Mathematics

1 answer:

goldenfox [79]3 years ago

5 0

Answer:

angleB = 41.4°

Step-by-step explanation:

✨ Trigonometry✨

cos theta = adj / hyp

theta = inverse-cos adj / hyp

theta = inverse-cos 12 / 16

theta = inverse-cos .75

theta = 41.4°

*theta is the 0 with a line through it

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What is the percent increase from 2,000 to 3,000

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50% should be the present increase :)

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3 years ago

Select all of the true statements about the standard deviation of a quantitative variable. 1. Standard deviation is resistive to

andrezito [222]

Answer:

Considering the first statement

Standard deviation is resistive to unusual values

This statement is false because standard deviation is the numeric measure of deviation of the each observation from the mean

Considering the second statement

The standard deviation of a set of values is equal to 0 if and only if all of the values are the same.

This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.

Considering the third statement

Standard deviation is never negative.

This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.

Considering the fourth statement

Changing the units of a set of values (e.g., converting from inches to feet) does not affect its standard deviation

This statement is false because standard deviation is the numeric measure of deviation of the each observation from the mean

Considering the fifth statement

If a set of values has a mean of 0 and a standard deviation that is not 0, then adding a new data point with a value of 0 will have no effect on the standard deviation.

This statement is false because , let take an example

x -4 - 3 0 3 4

Generally the mean is mathematically evaluated as

$\= x = \frac{\sum x_i }{n}$

=> $\= x = \frac{-4+ (- 3)+ 0 + 3 + 4 }{5}$

=> $\= x = 0$

Generally the standard deviation is mathematically evaluated as

$\sigma = \sqrt{\frac{\sum (x_ i - \= x )^2}{y} }$

$\sigma = \sqrt{\frac{ (-4 - 0 )^2 + (- 3 - 0 )^2 + (0 - 0 )^2 + (3 - 0)^2 + (4 - 0 )^2}{5} }$

=> $\sigma = 3.16$

Now when zero is removed the standard deviation is

$\sigma_1 = \sqrt{\frac{ (-4 - 0 )^2 + (- 3 - 0 )^2 + (3 - 0)^2 + (4 - 0 )^2}{4} }$

=> $\sigma_1 = 3.54$

Since $\sigma \ne \sigma _1$ the above statement is false

Considering the sixth statement

Standard deviation represents how far a group of values are from the mean of those values, on average.

This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.

Step-by-step explanation:

5 0

3 years ago

La edad de Teo hace 2 años era igual a la edad de Sara dentro de 3 años. Dentro de 2 años Sara tendrá la mitad de años que Leo ¿

Molodets [167]

Answer: Teo is 6 years old and Sara is 1 year old.

Step-by-step explanation:

This can be translated as:

Teo's age from 2 years ago was equal to Sara's age in 3 years.

In 2 years from now, Sara will have half the age of Leo.

we want to find the age of Sara and Leo.

we can write Teo's age as T, and Sara's age as S.

Then we have that:

T - 2 = S + 3

S + 2 = T/2

first, we must isolate one of the variables in one of the equations, let's isolate T in the first equation:

T = S + 3 + 2 = S + 5

now, we can replace it in the second equation:

S + 2 = T/2 = (S + 5)/2

2S + 4 = S + 5

2S - S = 5 - 4

S = 1

Then Sara is one year old, and the age of Teo is:

T - 2 = 1 + 3

T = 4 + 2 = 6

Teo is 6 years old.

6 0

4 years ago

Read 2 more answers

A water trough is 7 feet long, and its cross section is an equilateral triangle with sides 4 feet long. Water is pumped into the

Tju [1.3M]

Answer:

a. An equilateral triangle main characteristic is that all the sides lenght are the same (s). To find the height (h), we could divide the triangle (as seen in the picture) and apply Pytagorean theorem.

$(\frac{s}{2}) ^{2} +h^{2}=s^{2}$