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4 years ago

Convert into a decimal degree measure. 165° 37' 44"

Mathematics

1 answer:

andrew11 [14]4 years ago

4 0

Answer:

165.628° (The 8 has a line over it signalizing that it repeats forever, but I didn't know how to put it in.)

Step-by-step explanation:

Since 165 is whole number, it is a full degree. Since each minute is equal to 1/60 degrees, you need to multiply 37 by 1/60. Since each second is equal to 1/3600 degrees, multiply it 1/3600 by 44. Add them all together.

165 + 37 x 1/60 + 44 x 1/3600

simplify: 74533/450

Convert the fraction into a decimal by dividing the numerator by the denominator and you get 165.628° (with a repeating 8).

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Mr.Evans is paid $9.20 per hour for the first 40 hours he works in a week.He is paid 1.5 times that rate for each hour after tha

yKpoI14uk [10]

Answer:

I do not agree. If Mr. Evans worked 42.25 at a rate of $9.20 per hour for the first 40 hours and 1.5 times that rate after, he would have made a total of $399.05.

Step-by-step explanation:

In order to find the total amount that Mr. Evans would have earned last week, we need to first calculate how much he earned in his regular pay at 40 hours. For up to 40 hours, Mr. Evans makes $9.20 per hour, so his total wages earned after 40 hours is: 40 x 9.2 = $368.00. However, Mr. Evans also worked 2.25 hours of overtime at a rate of 1.5 times $9.20 or 9.2 x 1.5 = $13.80. At $13.80 for 2.25 hours, Mr. Evans would earn: 13.80 x 2.25 = $31.05. When you add his base pay of $368.00 plus his over time pay of $31.05, you get a total of $399.05.

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3 years ago

Jenny draws the path to walk from her house over to her grandmother's house. She knows that she has to avoid the end of the segm

Mademuasel [1]

Her answer should look like y = x + 2, x ≤ 2

<h3>How to determine the equation?</h3>

The complete question is added as an attachment

From the attached graph, we have the following points

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See that the difference between the y and x values is 2 where y > x

So, we have

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Add x to both sides

y = x + 2

The highest value of x in the graph is 2.

So, we have

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Hence, her answer should look like y = x + 2, x ≤ 2

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2 years ago

The probability distribution histogram shows the age distribution of giraffes at a zoo.

morpeh [17]

The value of P(4<X≤12) is 0.45

<h3>How to determine the probability?</h3>

The complete question is added as an attachment

To calculate P(4<X≤12), we use the following equation

P(4<X≤12) = P(4<X≤8) + P(8<X≤12)

From the histogram, we have:

P(4<X≤8) = 0.1

P(8<X≤12) = 0.35

So, we have:

P(4<X≤12) = 0.1 + 0.35

Evaluate

P(4<X≤12) = 0.45

Hence, the value of P(4<X≤12) is 0.45