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SpyIntel [72]
3 years ago
7

Nathan is planning to ride his bike for 24 minutes.

Mathematics
1 answer:
Bas_tet [7]3 years ago
7 0

Answer:

2 miles

Step-by-step explanation:

60 min = 1 hour

24 min = x

x = 2/5 hour

1 hour = 5 miles

2/5 hour = y

y = 2 miles

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What’s the answer to this
tatiyna
2 2/3 x 5/2

8/3 x 5/2

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4 years ago
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<img src="https://tex.z-dn.net/?f=cos%20%5B%20arctan%28%5Cfrac%7B12%7D%7B5%7D%29%20-%20arcsin%20%28%5Cfrac%7B-3%7D%7B5%7D%29%5D"
qwelly [4]

Answer: -16/65

Step-by-step explanation:

Drawing the right triangle (as attached) gives us that \arctan \left(\frac{12}{5} \right)=\arcsin \left(\frac{12}{13} \right)

Also, -\arcsin \left(-\frac{3}{5} \right)=\arcsin \left(\frac{3}{5} \right)

This means our original expression is equal to:

\cos \left[\arcsin \left(\frac{12}{13} \right)+\arcsin \left(\frac{3}{5} \right) \right]

Using the cosine addition formula, which states \cos(a+b)=\cos a \cos b-\sin a \sin b, we get this itself is equal to:

\cos \left(\arcsin \left(\frac{12}{13} \right) \right)\cos \left(\arcsin \left(\frac{3}{5} \right)\right)-\sin \left(\arcsin \left(\frac{12}{13} \right) \right)\sin \left(\arcsin \left(\frac{3}{5} \right)\right)

Since \sin^{2} \theta+\cos^{2} \theta=1, we know that:

\sin^{2} \left(\arcsin \left(\frac{12}{13} \right)\right)+\cos^{2} \left(\arcsin \left(\frac{12}{13} \right)\right)=1\\\\\frac{144}{169} +\cos^{2} \left(\arcsin \left(\frac{12}{13} \right)\right)=1\\\\cos^{2} \left(\arcsin \left(\frac{12}{13} \right)\right)=\frac{25}{169}\\\\cos \left(\arcsin \left(\frac{12}{13} \right)\right)=\frac{5}{13}

Similarly, cos(arcsin(3/5))=4/5.

This means the given expression is equal to:

\left(\frac{5}{13} \right) \left(\frac{4}{5} \right)-\left(\frac{12}{13} \right) \left(\frac{3}{5} \right)\\\\\frac{20}{65}-\frac{36}{65}=\boxed{-\frac{16}{65}}

3 0
2 years ago
I'm having trouble solving this reflection please help
hammer [34]
You reflect the triangle across the x axis. Are you looking for the points or what it reflects into?
4 0
3 years ago
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What is <br> -7+13+8X -2<br> Please help meee step by step
erik [133]

Answer:

-1/2 = x
OR
-0.5 = x

Step-by-step explanation:

1) Isolate x from the equation by making it equal to zero
(Reminder that everything crossing over to the other side of the equation changes it's symbols from positive to negative, and vice-versa is the original symbol was negative)

-7 + 13 + 8x - 2 = 0
-7 + 13 - 2 = -8x

2) Add up common terms on the left side

-9 + 13 = -8x
4 = -8x

3) Divide the entire equation by the number that would leave "x" by itself the factor or number that leaves the number by itself is negative eight since its the number with the equation (-8)

4/-8 = -8x/-8
-1/2 = x
OR
-0.5 = x

Hope this helps :)
Also, if you can is it ok if you can give me brainliest on this?

5 0
2 years ago
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