Which equation has the solution y=2?

joja [24]

Answer:

Step-by-step explanation:

So, if we know that 25 is the area of the square, that means that each side is 5. That also means the diameter of the circle is 5, so the radius is 2.5. Now, we can input the radius into the circumference formula for a circle, which is 2πradius. So, 2π2.5 which equals 5π, or about 15.71

3 0

4 years ago

Help! I need help with finding the value of x.

Dmitry_Shevchenko [17]

Answer:

x = 18.64

Step-by-step explanation:

use tan:

⇒ tan = $\frac{opposite}{adjacent}$

⇒ tan 46 = $\frac{18}{x}$

tan of 46 is 1.0355

⇒ 1.0356 = $\frac{18}{x}$

multiply 18 on both sides

⇒ 1.0355 x 18 = $\frac{18}{x}$ x 18

⇒ 18.64 = x

6 0

3 years ago

Find approximate solution for the equation in the interval 0<_ x <_ pi. round to three decimal places. tanx=5 sin x

timofeeve [1]

Answer:

d. 0, 1.369

Step-by-step explanation:

Given:

The equation is: $\tan x =5\sin x................(0\leq x\leq \pi)$

Adding $-5\sin x$ on both sides, we get

$\tan x - 5\sin x=0$

Using the identity $\tan x=\frac{\sin x}{\cos x}$ , we get

$\frac{\sin x}{\cos x}-5\sin x=0$

Factoring out $\sin x$ , we get

$\sin x(\frac{1}{\cos x}-5)=0\\\\\therefore \sin x=0\ or\ \frac{1}{\cos x}-5=0\\\\x=\sin^{-1} (0)\ or\ \cos x=\frac{1}{5}\\\\x=0\ or\ x=\cos^{-1} (\frac{1}{5})\\\\x=0\ or\ x=1.3694\approx 1.369(\textrm{Round to 3 decimal places})$

Therefore, the solution of the given equation is either 0 or 1.369.

The correct choice is d.

4 0

3 years ago

A researcher identifies a sample of teenagers and chooses two males, age 16

Alik [6]

I thinks it is matching pairs for random assignment on gender, age, & income status but I’m not sure

4 0

3 years ago

One year, the mean age of an inmate on death row was 39.2 years. A sociologist wondered whether the mean age of a death-row in

Volgvan

Answer:

The 95% confidence interval about the mean age is between 17.6 years and 57.6 years.

This means that we are 95% sure that the mean age of an inmate in the death row is in this interval. 39.2 is part of this interval, which implies that the mean age of a death-row inmate has not changed since then.

Step-by-step explanation:

We have the sample standard deviation, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 32 - 1 = 31

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 31 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0395

The margin of error is:

M = T*s = 2.0395*9.8 = 20

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 37.6 - 20 = 17.6 years

The upper end of the interval is the sample mean added to M. So it is 37.6 + 20 = 57.6 years.

The 95% confidence interval about the mean age is between 17.6 years and 57.6 years.

This means that we are 95% sure that the mean age of an inmate in the death row is in this interval. 39.2 is part of this interval, which implies that the mean age of a death-row inmate has not changed since then.

7 0

3 years ago