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soldier1979 [14.2K]
3 years ago
8

When X equals eight, Y equals 20 find Y when x equals 42

Mathematics
2 answers:
snow_tiger [21]3 years ago
6 0
If x equals 8 but then equals 42 then you multipled by 5.25, so multiply 20 by 5.25. Which is 105, then y equals 105.
gavmur [86]3 years ago
4 0
Y is equal to 105 because you divide 42 by 8 and get 5.25 (the amount it increased). then you multiply by its previous version 20 to get 105.
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The curves r1(t) = 4t, t2, t3 and r2(t) = sin(t), sin(5t), 2t intersect at the origin. find their angle of intersection, θ, corr
san4es73 [151]
First get the tangent vectors by differentiating r1 and r2 
r_1 '(t) = (4,2t,3t^2) \\  \\  r_2'(t) = (cos (t), 5 cos(5t), 2)
Evaluate at t=0
r_1' = (4,0,0) \\  \\ r_2' = (1,5,2)

Use identity for angle between 2 vectors:
u*v = |u| |v| cos \theta

Evaluate dot product and unit vectors:
u*v = (4,0,0)*(1,5,2) = 4 \\  \\ |u| = \sqrt{4^2 +0^2+0^2} = 4 \\  \\ |v| = \sqrt{1^2 + 5^2+2^2} = \sqrt{30}

Sub into identity and solve for theta:
4 = 4 \sqrt{30} cos \theta \\  \\ cos\theta = \frac{1}{\sqrt{30}} \\  \\ \theta = 79.48

Answer:
Angle of intersection is about 79 degrees.




5 0
4 years ago
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Anni [7]

Answer:

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Step-by-step explanation:

6 0
4 years ago
What value of a makes this equation true?
Goshia [24]

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7 0
4 years ago
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Justin travels at 70 km/h on his motorcycle. If the speed limit is 50 mi./hr., is he speeding? Why or why not?
balu736 [363]

Answer:

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Andre45 [30]

"25%" means "0.25"
"of" means "times"

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</em>
This is as fast as I can type.<em>

</em>

6 0
3 years ago
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