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prohojiy [21]
3 years ago
14

An arc has a length of 123.53 millimeters and a radius of 28 millimeters. What is the measure of the angle of the sector in degr

ees. Round to the nearest degree. Angle of sector = __________
Mathematics
1 answer:
nadezda [96]3 years ago
4 0

Answer:

Step-by-step explanation:

The formula for arc length in terms of degrees is

A.L.=\frac{\theta}{360}*2\pi r and we have everything we need to fill in to find the angle measure.

123.53=\frac{\theta}{360}*56\pi which is the same as

123.53=\frac{56\pi \theta}{360} and

360(123.53)=56\pi \theta and

\frac{360(123.53)}{56\pi}=\theta so

θ = 253°

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Write in the missing numbers.<br> ordering intergers
Illusion [34]

Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.

<h3>How are integers ordered?</h3><h3 />

Integers are whole numbers such as 1, 15, and 55. There are no decimals and they do not come in the form of fractions.

Integers can be negative or positive. Positive integers are always higher than negative integers. For instance, 1 is more than -500,000.

If both integers are negative, the larger looking number is considered smaller. For instance, -5 is more than -55. For positive integers, this is the reverse with larger looking numbers being larger.

An example of the correct order of intergers based on this dataset (1, 52, -800, 86, 5, and -4) is:

= -800, -4, 1, 5, 52, 86

Find out more on ordering integers at brainly.com/question/12399107.

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3 0
2 years ago
Which expression is equivalent to 3 ( x + 10)
devlian [24]

Answer:

3x + 30

Step-by-step explanation:

3(x+10)\\\\\text{Distribute '3' into 'x + 10'}\\\\\\3(x+10)\rightarrow3x+30\\\\\left \{ {{3*x=3x} \atop {3*10=30}} \right.

3x + 30 would be an equivalent expression.

Hope this helps.

8 0
2 years ago
John runs a computer software store. Yesterday he counted 123 people who walked by the store, 56 of whom came into the store. Of
vaieri [72.5K]

Answer:

a) There is a 45.53% probability that a person who walks by the store will enter the store.

b) There is a 41.07% probability that a person who walks into the store will buy something.

c) There is a 18.70% probability that a person who walks by the store will come in and buy something.

d) There is a 58.93% probability that a person who comes into the store will buy nothing.

Step-by-step explanation:

This a probability problem.

The probability formula is given by:

P = \frac{D}{T}

In which P is the probability, D is the number of desired outcomes and T is the number of total outcomes.

The problem states that:

123 people walked by the store.

56 people came into the store.

23 bought something in the store.

(a) Estimate the probability that a person who walks by the store will enter the store.

123 people walked by the store and 56 entered the store, so T = 123, D = 56.

So

P = \frac{D}{T} = \frac{56}{123} = 0.4553

There is a 45.53% probability that a person who walks by the store will enter the store.

(b) Estimate the probability that a person who walks into the store will buy something.

56 people came into the store and 23 bought something, so T = 56, D = 23.

So

P = \frac{D}{T} = \frac{23}{56} = 0.4107

There is a 41.07% probability that a person who walks into the store will buy something.

(c) Estimate the probability that a person who walks by the store will come in and buy something.

123 people walked by the store and 23 came in and bought something, so T = 123, D = 23.

So

P = \frac{D}{T} = \frac{23}{123} = 0.1870

There is a 18.70% probability that a person who walks by the store will come in and buy something.

(d) Estimate the probability that a person who comes into the store will buy nothing.

Of the 56 people whom came into the store, 23 bought something. This means that 56-23 = 33 of them did not buy anything. So:

D = 33, T = 56

P = \frac{D}{T} = \frac{33}{56} = 0.5893

There is a 58.93% probability that a person who comes into the store will buy nothing.

8 0
2 years ago
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yaroslaw [1]
A: 1/8b = 2 1/4

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2 years ago
Ice cream vs temperature
ollegr [7]

answer is probably ice cream

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