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Semenov [28]
3 years ago
5

Please help!!!!!!!!!!!!!!

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0
Pay attention here because I'm adding an extra letter to our circle to help keep track of the values in our formula.  OUTSIDE of the intercepted arc I'm adding the point E.  So the major arc is arc BEG and the minor arc is arc BG.  The formula then for us is ∠BFG= \frac{1}{2}(arcBEG-arcBG).  We just don't have values for the arcs yet.  If the measure of the central angle is 4x+238, then the measure of arcBG is also 4x+238.  Around the outside of the circle is 360°.  So we will use it in an expression.  ArcBEG=360-(4x+238).  Fitting that into our formula we have 2x+146= \frac{1}{2}[(360-4x-238)-(4x+238)].  Doing all the simplifying inside there we have 2x+146= \frac{1}{2}(122-4x-4x-238) and 2x+146= \frac{1}{2}(-8x-116).  Multiply both sides by 2 to get rid of the fraction: 4x+292=-8x-116.  Combine like terms to get 12x = -408 and divide to solve for x.  x = -34.  Fourth choice down from the top.
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A typical running track is an oval with 74-m-diameter half circles at each end. a runner going once around the track covers a di
denpristay [2]

Answer:

Her centripetal acceleration during the turn at each end of the track is 0.432\, \frac{m}{s^{2}}

Step-by-step explanation:

Total distance covered in one round , D= 400 m

Time taken to cover one round , T = 1 min 40 s = 100 sec

Speed of runner , V=\frac{D}{T}=\frac{400}{100}\, \frac{m}{s}= 4.0\, \frac{m}{s}

Now centripetal acceleration is given by

a_c=\frac{V^{2}}{R}

where V= 4.0\frac{m}{s}

Radius, R= \frac{Diameter}{2}=\frac{74}{2}m=37\, m

\therefore a_c=\frac{4^{2}}{37}\, \frac{m}{s^{2}}=0.432\, \frac{m}{s^{2}}

Thus her centripetal acceleration during the turn at each end of the track is 0.432\, \frac{m}{s^{2}}

4 0
3 years ago
Read 2 more answers
Suppose the variable x is represented by a standard normal distribution. What is the probability of x > 0.3 ? Please specify
uysha [10]

Answer: 0.38

Step-by-step explanation:

Since the variable x is represented by a standard normal distribution, the probability of x > 0.3 will be calculated thus:

P(x > 0.3)

Then, we will use a standard normal table

P(z > 0.3)

= 1 - p(z < 0.3)

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Therefore, p(x > 0.3) = 0.38

The probability of x > 0.3 is 0.38.

5 0
2 years ago
5 ft
Effectus [21]

the answer is 3 ft because since the two triangles are diagonal to eachother (i forgot the word) they have the same side length ratio. the ratio of the bigger triangle is 10:6.

the other triangle has 1/2 of that ratio. 10/2=5 and 6/2=3

6 0
3 years ago
What is an equation in point-slope form for the line that passes through the points (−3,5) and (2,−3)?
fredd [130]
(-3,5). (2,-3)
x1,y1. x2,y2

y2-y1. -3-5. -8
--------- = ------- = ----- =8 =m
x2-x1. 2-3. -1

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4 0
3 years ago
10(5 - n) - 1 = 29<br><br> n = ?<br> Help!
nydimaria [60]

n = 2

distribute and simplify left side of equation

50 - 10n - 1 = 29

49 - 10n = 29 ( subtract 49 from both sides )

- 10n = 29 - 49 = - 20

n = \frac{-20}{-10} = 2



5 0
3 years ago
Read 2 more answers
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