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andreev551 [17]
3 years ago
12

Actual

Mathematics
1 answer:
Katena32 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

so first you multiply how much she jogged then put the in infront of the number

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The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correc
masya89 [10]

Answer:

Therefore the angle of intersection is \theta =79.48^\circ

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

r_1(t)=(2t,t^2,t^4)

and r_2(t)=(sin t , sin5t, 2t)

To find the tangent of a carve , we have to differentiate the carve.

r'_1(t)=(2,2t,4t^3)

The tangent at (0,0,0) is     [ since the intersection point is (0,0,0)]

r'_1(0)=(2,0,0)      [ putting t= 0]

|r'_1(0)|=\sqrt{2^2+0^2+0^2} =2

Again,

r'_2(t)=(cos t ,5 cos5t, 2)

The tangent at (0,0,0) is    

r'_2(0)=(1 ,5, 2)        [ putting t= 0]

|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}

If θ is angle between tangent, then

cos \theta =\frac{r'_1(0).r'_2(0)}{|r'_1(0)|.|r'_2(0)|}

\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }

\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }

\Rightarrow cos \theta =\frac{1}{\sqrt{30} }

\Rightarrow  \theta =cos^{-1}\frac{1}{\sqrt{30} }

\Rightarrow  \theta =79.48^\circ

Therefore the angle of intersection is \theta =79.48^\circ.

8 0
3 years ago
What is the dependent variable in y=x+12
erma4kov [3.2K]

The independent variable is x

y is dependent on the value of x

8 0
1 year ago
What does -22 belong to
Len [333]

Answer:

it's part of the real number system

it's a rational number

it's an integer

Step-by-step explanation:

6 0
2 years ago
31.8 miles/hr= ? Feet/sec
PSYCHO15rus [73]
1 mi = 5280 ft
1 h = 3600 s

therefore:

31.8\ \dfrac{mi}{h}=31.8\cdot\dfrac{5280}{3600}\ \dfrac{ft}{s}=46.64\ \dfrac{ft}{s}

Answer: 31.8 mi/h = 46.64 ft/s
6 0
3 years ago
Select the choice that translates the following verbal phrase correctly to algebra: the product of k and m
romanna [79]
<em>km</em>=<em>x, </em>the product being represented by <em>x.
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5 0
3 years ago
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