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DiKsa [7]
4 years ago
10

The figure is made up of 2 cones and a cylinder. The

Mathematics
1 answer:
zhuklara [117]4 years ago
7 0

The area of cylinder is 3.82 cm^3. The area of the cone is 1.27 cm^3. Since there’s two cones, multiple that value by 2 and then add it to the volume of the cylinder. Your answer is approximately 6.36 cm^3

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Answer:

D

Step-by-step explanation:

3 - 5( - 5) \\ 3 - ( - 25) \\ 3 + 25 \\ 28

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What percentage of the individuals rode the Ferris wheel and did not ride the roller coaster?
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which of the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola is xy=4
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What is the value of A in the area model for finding the quotient of 4,340 ÷ 5?
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8 0
3 years ago
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
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