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igor_vitrenko [27]
3 years ago
8

Find the radian measure of an angle of 110º.

Mathematics
2 answers:
Lisa [10]3 years ago
7 0

Answer:

The angle of 110º in radian meausre is 0.61π

Step-by-step explanation:

Given :  an angle of 110º.

We have to write the angle of 110º in radian meausre.

Consider the given angle of 110º.

To convert angle from degree meausre to radian measure , we multiply the given degree measure by \frac{\pi}{180^{\circ}}

To convert 110º to radian measure , we have,

110^{\circ}\times \frac{\pi}{180^{\circ}}=0.61\pi

Thus, The angle of 110º in radian meausre is 0.61π

dimulka [17.4K]3 years ago
4 0
For the radian measure:
180° = π radians
180° : 110° = 11 / 18 ≈ 0.611
Answer:
110° =  11π/18 rad ≈ 0.611 rad
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Landon finds that the school cafeteria has 8,000 milliliters of grape juice, 4.2 liters
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Answer:

1) Part A)

Liters    Mililiters

  1            1,000

  5           5,000

  8           8,000

 14          14,000

2) Part B)

One way to convert 4.2 liters to milliliters is to <u>   multiply   </u> the number of liters by the number of milliliters in 1 liter. This means there are <u>   4,200   </u>milliliters in 4.2 liters. The cafeteria has the greatest amount of  <u>   orange   </u>juice, the second greatest amount of    <u>     grape     </u> juice, and the least amount of <u>    cranberry     </u>juice.

Explanation:

<u>1) Data:</u>

  • Grape juice: 8,000 mililiters
  • Cranberry juice: 4.2 liter
  • Orange juice: 12,000 mililiters

  • There are 1,000 mililiers in 1 liter

<u>2) Part A:</u>

<u>Table:</u>

The table is garbled. This is what the tables could look like:

Liters    Mililiters

  1            1,000

  5           5,000

  8           8,000

 14          14,000

You can see that the table shows a direct relationship between the number of mililiters and the number of liters:

  • 1,000/1 = 1,000
  • 5,000/5 = 1,000
  • 8,000/8 = 1,000
  • 14,000/14 = 1,000
  • number of mililiters / liters = 1,000

<u>3) Part B)</u>

Fill in the blanks to explain how Landon can convert 4.2 liters of cranberry juice to mililiters so he can compare the amounts of the different juices:

i) One way to convert 4.2 liters to milliliters is to <u>   multiply   </u> the number of

liters by the number of milliliters in 1 liter.

  • As demonstrated above there is a direct relationship between the number of mililiters and the number on liters, then you must multiply the number of liters by the proportionality constant to find the number of mililiters.

ii) This means there are <u>   4,200   </u>milliliters in 4.2 liters.

  • That is the product 4.2 × 1,000 = 4,200.

iii) The cafeteria has the greatest amount of  <u>   orange   </u>juice, the second greatest amount of    <u>     grape     </u> juice, and the least amount of <u>    cranberry     </u>juice.

Rank the amounts:

  • 12,000    >    8,000    >    4,200

            ↑                   ↑                   ↑

       orange            grape        cranberry

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Answer:

<u>The system has two solutions:</u>

<u>x₁ = 5  ⇒ y₁ = -10</u>

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Step-by-step explanation:

Let's solve the system of equations, this way:

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Replacing y in the 2nd equation:

y = x ² - 6x - 5

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x₁ = 10/2 = 5

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