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mariarad [96]
3 years ago
13

Sandra is 4 feet tall.Pablo is 10% talker than Sandra,and Michaela is 8% taller than Pablo.Explain how to Michaelas height with

the given information
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

For Pablo's height, just make 10% of 4 a decimal which is .4 and add 4 to it. and then for Michaela do the same which is .8 and add 4 to it  so 5ft for Michaela

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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
2 years ago
Nine times a number decreased by 16
Setler79 [48]

Answer:

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Explanation:

Nine times a number: 9 · x

Decreased by 16: - 16

Put them together: 9 · x - 16

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2700  is your answer

Step-by-step explanation:

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Solve for x. Show the equation you used and your work.
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ST/VT = UT/WT6+14/14  = (x+4)+21/21X= 20*21/14 - 21x=420/14-25X=30-25x=5
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