3 years ago

Please help, marking brainliest if correct

Mathematics

2 answers:

bezimeni [28]3 years ago

8 0

Answer:

Step-by-step explanation:

2x+x+4=115 (ext ∠)

3x=111

x=37

∠MNO=2(37)

=74°

Vsevolod [243]3 years ago

5 0

Step-by-step explanation:

Im not very very sure but i think its 74

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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.

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4 years ago

What time is 7 1/2 hours before 2:12

Artist 52 [7]

6:42 pm bc subtract 2 hours is 12:12am and then subtract the rest is 7:12pm then you subract 12 minutes is 7 pm the subtract the 18 minutes left is 6:42 pm

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3 years ago

Read 2 more answers

There are 2.54 centimetres in 1 inch. There are 100 centimetres in 1 meter. To the nearest inch, how many inches are in 3 meters

Veseljchak [2.6K]

Answer:

118 in

Step-by-step explanation:

300/2.54=118.11

rounded to the nearest inch =118

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3 years ago