If cose<br> =-2/3<br> -, which of the following are possible for the same value of e?

aivan3 [116]

Answer:

x=14√3 and y=28

Step-by-step explanation:

This is a 30, 60, 90 triangle. We have to multiply 14 by 2 to get the hypotenuse. In this case, the hypotenuse is y. 14x2 is equal to 28. Therefore, y=18. The long side is equal to the small side times the √3. Therefore, x is equal to 14√3. Therefore, x=14√3 and y=28.

If this has helped you please mark as brainliest

4 0

2 years ago

Brockman Corporation's earnings per share were $3.50 last year, and its growth rate during the prior 5 years was 7.0% per year.

fredd [130]

Answer:

The number of years it would take is $n = 2 \ years$

Step-by-step explanation:

From the question we are told that

The earning per share is $P =$ $3.50

The growth rate is r = 7.0%

The duration is $t = 5 \ years$

Generally the future value is mathematically represented as

$A = P(1 + \frac{r}{100} )^n$

Where P is the present value

n is the time period

A is the future value which is mathematically evaluated as

$A = 3 * P$

substituting value

$A = 3 * 3.50$

$A =$ $ 10.5 0

So

$A = P(1 + \frac{r}{100} )^n$

$10.5 = 3.5(1 + \frac{7}{100} )^n$

$10.5 = 3.225^n$

Taking log of both sides

$log 10.5 = nlog 3.225$

$1.0212 = n(0.5085)$

$n = \frac{1.0212}{(0.5085)}$

$n = 2 \ years$

4 0

3 years ago

How do you integrate arctan(x dx? i think that if you simplify the integral you get:?

Temka [501]

Integration by parts will help here. Letting $u=\arctan x$ and $\mathrm dv=\mathrm dx$ , you end up with $\mathrm du=\dfrac{\mathrm dx}{1+x^2}$ and $v=x$ . Now

$\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du$
$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx$

For the remaining integral, setting $y=1+x^2$ gives $\dfrac{\mathrm dy}2=x\,\mathrm dx$ , so

$\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C$

Putting everything together, you end up with

$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C$

6 0

2 years ago

Which of these sequences is a geometric sequence?

Harman [31]

Answer:

d is right...............

5 0

2 years ago

a large school surveys 100 people by taking random samples of 10 teachers and 90 students. what type of sample is this

bearhunter [10]

Answer:

Stratified Sampling

Step-by-step explanation:

Stratified sampling involves dividing the population into subpopulations that may differ in important ways. It allows you draw more precise conclusions by ensuring that every subgroup is properly represented in the sample.

To use this sampling method, you divide the population into subgroups (called strata) based on the relevant characteristic (e.g. gender, age range, income bracket, job role).

Based on the overall proportions of the population, you calculate how many people should be sampled from each subgroup. Then you use random or systematic sampling to select a sample from each subgroup.

I hope this helped!

6 0

2 years ago

If cose =-2/3 -, which of the following are possible for the same value of e?