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3 years ago

What is an equivalent raidian measure of 60°

Mathematics

1 answer:

kozerog [31]3 years ago

8 0

Answer:

$\frac{\pi }{3}$

Step-by-step explanation:

To convert from degrees to radians

radian = degree × $\frac{\pi }{180}$

Thus for 60°

radian measure = 60 × $\frac{\pi }{180}$ ( cancel 60 and 180 by 60 ), leaving

radian measure = $\frac{\pi }{3}$

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A bakery sells cakes for $23 And a dozen cupcakes for $18. In one day they sold 72 items and made a total of $1446. Which system

katrin2010 [14]

Answer:

23c+18x=1446

Step-by-step explanation:

3 0

3 years ago

Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)

sladkih [1.3K]

Answer:

The equation of the line passing through the given points is:

$y=-\frac{8}{3}x-11$

Step-by-step explanation:

Given:

The two points are: $(x_1,y_1)=(-6,5)\textrm{ and }(x_2,y_2)=(-3,-3)$

The equation of a line when two points are given is:

$y-y_1=\left (\frac{y_2-y_1}{x_2-x_1} \right )(x-x_1)$

Plug in all the values and simplify.

$y-5=\left (\frac{-3-5}{-3-(-6)} \right )(x-(-6))\\y-5=\left (\frac{-8}{-3+6} \right )(x+6)\\y-5=\left (\frac{-8}{3} \right )(x+6)\\y-5=\frac{-8}{3}x-16\\y=\frac{-8}{3}x-16+5\\\\y=-\frac{8}{3}x-11$

Therefore, the equation of the line passing through the above points is

$y=-\frac{8}{3}x-11$

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3 years ago

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the origin

Tema [17]

Answer:

s = 19.7

Step-by-step explanation:

First we need to calculate the mean x' of the sample as:

$x'=\frac{55+18+39+20+20+44+69}{7}=37.9$

We sum all the scores and divide them by the number of scores.

Then, the standard deviation s is calculated as:

$s=\sqrt{\frac{(55-37.9)^2+(18-37.9)^2+(39-37.9)^2+(20-37.9)^2+(20-37.9)^2+(44-37.9)^2+(69-37.9)^2}{7-1} }\\ s=19.7$

We square every score less the mean, sum every value, then divide that by the number of scores less 1 and finally, we calculate the square root.

So, the standard deviation of the sample is 19.7

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4 years ago

Complete the equation and tell what property you used 16+31=31+16

krek1111 [17]

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4 0

4 years ago

I need to solve this equation

harkovskaia [24]

The answer is 18
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7 0

4 years ago

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