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2 years ago

Written expression for the sum of d and 9

Mathematics

1 answer:

Margaret [11]2 years ago

8 0

Hey!!

Here's your answer:

Answer:d+9

Hope it will help you....

Good luck on your assignment

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There are 6 geese and 9 hens on Mr. Thomson’s farm. Mr. Thomson adds 6 more geese and 3 more hens to his farm. What is the new r

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12:12. simplified to 1:1

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3 years ago

Read 2 more answers

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 $\theta =79.48^\circ$ .

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2 years ago

Why can it help to line up the decimal points before comparing and ordering numbers with decimals?

Colt1911 [192]

Because it helps to see which one is greater, For example: if you line up 0.079 and 0.127 you can easily tell that 0.0127 is greater because it is closer to a hole number. Another example: 0.1 and 0.3, obviously 0.3 is greater. in conclusion, the reason you line up the decimal points is to make it easier to see which numbers are greater, which helps you compare and order easily!

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2 years ago

The value of Peter's house has risen 10% a year for the last 3 years. if the value of Peter's home 3 years ago was $120,000.00,

pickupchik [31]

The answer is $132,000

First you multiply 120,000 by .10 which you get 12,000

Then you just add it and you find the answer

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2 years ago

A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and s

mojhsa [17]

Answer:

about 16°

Step-by-step explanation: