HELP PLSSSSSSSSSS!!!!!!!! PLS SOLVE BOTH!!!!!! PLSSSSSSSS

Name the intersection of lines m and n.

Svetach [21]

Answer:

The correct answer is D. The reason is because you can name an angle by its middle letter or number if they intercept

Step-by-step explanation:

4 0

3 years ago

Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find t

jeyben [28]

Answer:

We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us

10 pi/6 or 5 pi/3

Step-by-step explanation:

We can use the formula

$2\pi \times r( \frac{x}{360} )$

to find the arc length where r is the radius.

and x is the arc measure.

Plug it in for the numbers

$2\pi \times 5( \frac{60}{360} )$

Multiply 2 pi times 5=10 pi

$10\pi( \frac{60}{360} )$

Simplify 60/360 to 1/6

$10\pi \times \frac{1}{6} = \frac{10\pi}{6}$

Reduce it to

$\frac{5\pi}{3}$

7 0

3 years ago

Solve the following using Substitution method 2x – 5y = -13 3x + 4y = 15

Digiron [165]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\left. \begin{array} { l } { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.$

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$2x-5y=-13, \: 3x+4y=15$

Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

$2x-5y=-13$

Add 5y to both sides of the equation.

$2x=5y-13$

Divide both sides by 2.

$x=\frac{1}{2}\left(5y-13\right) \\$

Multiply $\frac{1}{2}\\$ times 5y - 13.

$x=\frac{5}{2}y-\frac{13}{2} \\$

Substitute $\frac{5y-13}{2}\\$ for x in the other equation, 3x + 4y = 15.

$3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15 \\$

Multiply 3 times $\frac{5y-13}{2}\\$ .

$\frac{15}{2}y-\frac{39}{2}+4y=15 \\$

Add $\frac{15y}{2} \\$ to 4y.

$\frac{23}{2}y-\frac{39}{2}=15 \\$

Add $\frac{39}{2}\\$ to both sides of the equation.

$\frac{23}{2}y=\frac{69}{2} \\$

Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

$\large \underline{ \underline{ \sf \: y=3 }}$

Substitute 3 for y in $x=\frac{5}{2}y-\frac{13}{2}\\$ . Because the resulting equation contains only one variable, you can solve for x directly.

$x=\frac{5}{2}\times 3-\frac{13}{2} \\$

Multiply 5/2 times 3.

$x=\frac{15-13}{2} \\$

Add $-\frac{13}{2}\\$ to $\frac{15}{2}\\$ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

$\large\underline{ \underline{ \sf \: x=1 }}$

The system is now solved. The value of x & y will be 1 & 3 respectively.

$\huge\boxed{ \boxed{\bf \: x=1, \: y=3 }}$

8 0

3 years ago

a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval

il63 [147K]

We cannot calculate the confidence interval without the sample size. However, for the second question, the sample size needed would be 49.

The formula we use is

$n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2$

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
$n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49$

6 0

3 years ago

0 류 In + 0 4 1 6 1 Which fraction is equal to 좋

Diano4ka-milaya [45]

Answer:

B = 6/8

Step-by-step explanation:

3 x 2 = 6

____ __

4 x 2 8

(Equivalent fraction)

5 0

3 years ago