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Degger [83]
4 years ago
5

during the 2015 nascar races, the car completed 371.5 laps around the track. During the 2016 race,the racers completed 378.925 l

aps around the track.how many more laps were completed in 2016 than 2015 .show your work
Mathematics
1 answer:
grin007 [14]4 years ago
7 0

Answer:

7.425 laps.

Step-by-step explanation:

That would be 378.925 - 371.5

= 7.425 laps,

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Remember if straight line total is 180 degree

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a = 60 degrees and b = 30 degrees

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A line contains the points (82, −96) and (87, −86) .
BartSMP [9]
A line contains the points (82, −96) and (87, −86) .What is the slope of the line in simplified form?
Here are the points: (82, −96) and (87, −86) You could let <span><span>x1</span>=82</span> and <span><span>x2</span>=87</span>


6 0
3 years ago
If
baherus [9]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = \frac{\sqrt3}{2}

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}

Proof LHS → RHS:

LHS                          cos 165

Double-Angle:        cos (2 · 165) = 2 cos² 165 - 1

                             ⇒ cos 330 = 2 cos² 165 - 1

                             ⇒ 2 cos² 165  = cos 330 + 1

Given:                        2 \cos^2 165  = \dfrac{\sqrt3}{2} + 1

                              \rightarrow 2 \cos^2 165  = \dfrac{\sqrt3}{2} + \dfrac{2}{2}

Divide by 2:               \cos^2 165  = \dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \dfrac{2\sqrt3+4}{8}

Square root:             \sqrt{\cos^2 165}  = \sqrt{\dfrac{4+2\sqrt3}{8}}

Scratchwork:            \cos^2 165  = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2

                             \rightarrow \cos 165  = \pm \dfrac{\sqrt3+1}{2\sqrt2}

             Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

                             \rightarrow \cos 165  = - \dfrac{\sqrt3+1}{2\sqrt2}

LHS = RHS \checkmark

4 0
4 years ago
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