The area of a circle is 360.9. Find the radius of the circle. (Round to 2 decimal places.)

HELP ASAP *will mark brainliest*<br> picture attached.

spin [16.1K]

X^2 + y^2 = 5
y = 2x

The second equation is solved for y, so substitute it in the first equation.

x^2 + (2x)^2 = 5

x^2 + 4x^2 = 5

5x^2 = 5

x^2 = 1

x^2 - 1 = 0

(x + 1)(x - 1) = 0

x = -1 or x = 1

Now substitute both values of x in the second equation and solve for y.

y = 2x

For x = -1

y = 2(-1)

y = -2

For x = 1

y = 2(1)

y = 2

Solution: (-1, -2), (1, 2)

4 0

3 years ago

What is the answer to -4/3p -2/5

kaheart [24]

Answer:

Step-by-step explanation:

This expression consists of two fractions that have no common denominator but do have -2 as a common factor in the numerators.

Factoring out the -2, we get:

-2(2p/3 + 1/5)

If you want to go further, we can determine the LCD (which is 15) and then combine the fractions within parentheses:

-2(10p/15 + 3/15)

We could now factor out the 1/15 in each fraction:

-2

---- (10p + 3)

15

5 0

3 years ago

Help meeeeeeeeeeeeeeeeeeeeee

hodyreva [135]

Answer:

people went to Bonnaroo

5 0

3 years ago

A study was conducted to estimate the difference in the mean salaries of elementary school teachers from two neighboring states.

umka21 [38]

Answer:

$(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70$

$(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698$

The confidence interval would be $-3301.70 \leq \mu \leq 501.698$ and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

Step-by-step explanation:

We have the following info given by the problem

$\bar X_1 = 28900$ the sample mean for the salaries of teachers in Indiana

$s_1 = 2300$ the sample deviation for the salary of teachers in Indiana

$n_1 =10$ the sample size from Indiana

$\bar X_2 = 30300$ the sample mean for the salaries of teachers in Michigan

$s_2 = 2100$ the sample deviation for the salary of teachers in Michigan

$n_2 =14$ the sample size from Michigan

We want to find a confidence interval for the difference in the two means and the formula for this case is given by;

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}$

The degrees of freedom for this case are:

$df = n_1 +n_2 -2= 10+14-2 =22$

The confidence is 95%so then the significance is $\alpha=0.05$ and the $\alpha/2 =0.025$ , we need to find a critical value in the t distribution with 22 degrees of freedom who accumulates 0.025 of the area on each tail and we got:

$t_{\alpha/2}= 2.07$

And now replacing in the formula for the confidence interval we got:

$(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70$

$(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698$

The confidence interval would be $-3301.70 \leq \mu \leq 501.698$ and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

6 0

3 years ago

PLZ help me super really really fast

maria [59]

Answer:

A. 3 cm

Step-by-step explanation:

The smallest face has the sides 4 cm and 8 cm. If the water is 4 cm from its top, then the height of the water is $16-4=12$ cm and the volume of the water is

$V_{water}=4\cdot 8\cdot 12=384\ cm^3$

The largest face has the sides 8 cm and 16 cm. If the container is placed on its largest face, then the volume of the water is

$V_{water}=8\cdot 16\cdot h \ cm^3,$

where h is the height of the water.

Equate volumes of the water:

$8\cdot 16\cdot h=384\\ \\h=\dfrac{384}{8\cdot 16}=3\ cm$

Therefore, the water is 3 cm from the bottom.

4 0

3 years ago