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Gnesinka [82]
2 years ago
12

If mQOS​, mPOR​, and mPOQ​, what is m​ROS?

Mathematics
1 answer:
Zarrin [17]2 years ago
6 0

Applying the angle addition postulate, the measure of angle ROS is: 16°

<h3>How to Apply the Angle Addition Postulate?</h3>

Given the following angle measures:

m<QOS = 49°

m<POR = 56°

m<POQ = 23°

Find the measure of  angle QOR:

m<QOR = m<POR - m<POQ [angle addition postulate]

Substitute the values into the equation

m<QOR = 56 - 23

m<QOR = 33°

Find the measure of angle ROS:

m<ROS = m<QOS - m<QOR [angle addition postulate]

Substitute the values into the equation

m<ROS = 49 - 33

m<ROS = 16°

Therefore, applying the angle addition postulate, the measure of angle ROS is: 16°

Learn more about the angle addition postulate on:

brainly.com/question/24782727

#SPJ1

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Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

a)

\frac{dy}{dt}\ \alpha\  y(1-y)

\frac{dy}{dt}=ky(1-y)

where k is the constant of proportionality, dy/dt =  rate at which the rumor spreads

b)

\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}}  =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\

y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}

At t = 2, y = 40% = 0.4

c) At y = 75% = 0.75

y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days

5 0
3 years ago
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A garden is to be made in the form of an isosceles triangle. The equal side must be 4ft. Less than twice the base. The perimeter
Natali5045456 [20]
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3 years ago
Which of these points are on a line that has a slope of -3?
Ira Lisetskai [31]
Simple....

using the formula \frac{ y_{1}- y_{2}  }{ x_{1}- x_{2}  } to find slope....

1.)  (9,2)(4,3)

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3.)  (2,9)(3,4)

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3 years ago
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Ray Of Light [21]

Answer:

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Step-by-step explanation:

The general equation of a straight line is given as;

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If two lines are parallel, their slopes are equal

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y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

5 0
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