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zalisa [80]
3 years ago
10

In ΔOPQ, o = 500 cm, p = 600 cm and q=380 cm. Find the measure of ∠P to the nearest 10th of a degree.

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer: 84.8°

Step-by-step explanation:

a²+b²+c²-2bc(cosA)

cosA = b² + c² - a² / 2bc

That is the formula we will be using.

Then, plug in our numbers.

cosP= 500² + 380² - 600² / 2(500)(380)

cosP= 34400/380000

cosP≈ 0.09052631

cos⁻¹(0.09052631) ≈ 84.81

∠P = 84.8°

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Lusia ran 3 2/3 kilometers in 1/3 of an hour. If speed is distance over time, calculate lusia's speed.
Romashka [77]
In the question, they give you the formula for speed...

speed = distance / time

They also give you the distance and the time, so all we have to do is stick them into the equation...

speed =  3 2/3 Km / 1/3 hour
speed = 3 2/3 / 1/3

To divide the fractions, first we need to convert 3 2/3 into an improper fraction

3 2/3 = 11/3

now we multiply 11/3 x the reciprocal of the divisor 1/3.  The reciprocal just means flip the numerator and denominator

speed = 11/3 x 3/1
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3 years ago
I can’t figure out the surface area. Someone please help !! :)
Ilia_Sergeevich [38]
<h3> Answer:</h3><h2>surface area is 227•1</h2><h2>volume is 321•7</h2>

Step-by-step explanation:

diameter is 8•5

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8•5/2

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=1589•5/7

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Read 2 more answers
A continuous random variable may assume :
vova2212 [387]

Answer:

Option A) any numerical value in an interval or collection of intervals

Step-by-step explanation:

Continuous Random Variable:

  • A continuous random variable can take any value within an interval.
  • Thus, it can take infinite values since there are infinite numbers in an interval.
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Option A) any numerical value in an interval or collection of intervals

6 0
3 years ago
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