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Elena-2011 [213]
3 years ago
10

The middleweight division in wrestling is centered at 140 pounds. Deviation from that must be less than 15 pounds either way. Wr

ite and solve the Absolute value inequality. What is the range of the possible weights for the lightweight division?
Mathematics
1 answer:
hichkok12 [17]3 years ago
8 0

Answer: 125lb < M < 155 lb

Step-by-step explanation:

The mean mass is 140 lb, and the deviation must be less than 15 pounds (exactly 15 is not accepted).

Then (140lb + 15lb) is not alowed, and (140lb - 15lb) is not alowed.

Then we can define M = mass.

We have the two equations:

M < 140lb + 15lb

M < 155lb

And

M > (140lb - 15lb)

M > 125lb

If we write these two relations togheter, we get:

125lb < M < 155 lb

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A.

Step-by-step explanation:


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3 years ago
6/7k=6 i really need help
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So k=1000 like 4k=4 000 so 6/7 of a thousnad =0.857142857 so times 6=0.857142857
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24 ÷ v x k when v=2 and k=4
Leya [2.2K]

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48

Step-by-step explanation:

24 ÷ v x k

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3 years ago
1, Formalize the following arguments and verify whether they are valid:
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3 0
3 years ago
Can someone help me with this? sin150° =
marusya05 [52]

Answer:

sin(150°) = 1/2

Step-by-step explanation:

* Lets study how we can solve this problem

- At first the measure of the angle is 150°

- Ask your self in which quadrant can you find this measure

* To know the answer lets revise the four quadrants

# First quadrant the measure of all angles is between 0° and 90°

  the measure of any angle is α

∴ All the angles are acute

∴ All the trigonometry functions of α are positive

# Second quadrant the measure of all angles is between 90° and 180°

  the measure of any angle is 180° - α

∴ All the angles are obtuse

∴ The value of sin(180° - α) only is positive ⇒ sin(180° - α) = sinα

# Third quadrant the measure of all angles is between 180° and 270°

  the measure of any angle is 180° + α

∴ All the angles are reflex

∴ The value of tan(180° + α) only is positive ⇒ tan(180° + α) = tanα

# Fourth quadrant the measure of all angles is between 270° and 360°

  the measure of any angle is 360° - α

∴ All the angles are reflex

∴ The value of cos(360° - α) only is positive ⇒ cos(360° - α) = cosα

* Now lets check the angle of measure 150

- It is an obtuse angle

∴ It is in the second quadrant

∴ the value of sin(150) is positive

∴ sin(150°) = sinα

∵ 180 - α = 150 ⇒ isolate α

∵ α = 180° - 150° = 30°

∴ sin(150°) = sin(30°)

∵ sin(30°) = 1/2

∴ sin(150°) = 1/2

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3 years ago
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