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2 years ago

if the radius of a circle is five centimeters, how long is the arc subtended by an angle measuring 60°

1 answer:

7 0

The length of the arc will be given by:
C=θ/360×π×2×r
θ=60°
r=5 cm
substituting values in the formula we get:
C=60/360×π×2×5
C=5/3π cm

Answers: 5/3π or 5.236 cm

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Professor Liu gave the same quiz to the students in her morning class and in her afternoon class. The average (arithmetic mean)

natka813 [3]

Answer:

Afternoon class has more students.

Step-by-step explanation:

Let m be the number of students in the morning class and n be the number of students in the afternoon class.

The average score for the students in the morning class was 80, then the sum of their scores is $80m.$

The average score for the students in the afternoon class was 86, then the sum of their scores is $86n.$

The sum of the scores of both classes is

$80m+86n$

and the average score is

$\dfrac{80m+86n}{m+n}$

The average (arithmetic mean) score for the two classes combined was 84, then

$\dfrac{80m+86n}{m+n}=84\\ \\ 80m+86n=84m+84n\\ \\86n-84n=84m-80m\\ \\2n=4m\\ \\n=2m$

This means n is greater, so afternoon class has more students.

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2 years ago

Luisa recieved $108 for a necklace she sold on an online auction. The auction site took a fe of 10% of selling price. What was t

Vera_Pavlovna [14]

I believe it might be 107.9 after if that’s what your asking-like taking off 10% of $108.

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2 years ago

Please help me on this

Marrrta [24]

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3 years ago

Find the point on the line y=2x that is closest to the point (4, 5) .

alexgriva [62]

That point would be : (2.5,5)

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2 years ago

The opposite of - |9| is

aleksklad [387]

Hello from MrBillDoesMath!

Answer: +9

Discussion:

The opposite of a number is that number multiplied by -1. In our case the opposite number is (-1) * (- (abs(9))) = -1 * (-9) = +9

Thank you,

MrB

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2 years ago

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