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attashe74 [19]
3 years ago
14

3. Convert this rate (80km/hr) to a rate measured in m/s​

Mathematics
1 answer:
scoray [572]3 years ago
8 0
22,24 meters per second
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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
3 years ago
What percentage of U.S. states have names that start with the letter W
Eduardwww [97]
50 states, 4 start with W (Washington, West Virgina, Wisconsin, Wyoming)
So its 8%
3 0
3 years ago
Y=2x+b in y=MX+b form
Fynjy0 [20]
It would appear your original equation is in Y=MX+b form, where M=2
4 0
3 years ago
Find the inverse function of f informally. f(x) = 6x
yaroslaw [1]
f^-^1(x) =  \frac{x}{6}
8 0
3 years ago
HELP ASAP pleaseeee
AlekseyPX

\\ \sf\longmapsto 3y=z-2x

  • Take z to left

\\ \sf\longmapsto -2x=3y-z

  • Take out -

\\ \sf\longmapsto 2x=-3y+z

\\ \sf\longmapsto 2x=z-3y

\\ \sf\longmapsto x=\dfrac{z-3y}{2}

5 0
3 years ago
Read 2 more answers
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