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2 years ago

PLEASE HELP ME I DONT UNDERSTAND!

Mathematics

1 answer:

givi [52]2 years ago

5 0

Answer:

y + 1 = 2(x - 3)

Step-by-step explanation:

See image

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V=4/3 3.14 18*18*18 what is the volume of the sphere

podryga [215]

Answer:

24416.64

Step-by-step explanation:

Based on the standard formula,4/3×π×r^3

The π has been given already and r=18

4/3×3.14×18^3

V=24416.64

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3 years ago

In a crayon box there are 5 dark colors for every 8 light colors. If there are 20 dark colors, hoW many light colors are there.

Kisachek [45]

Answer:

Step-by-step explanation:

3 0

3 years ago

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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 $\theta =79.48^\circ$ .

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2 years ago

MARKING BRAINIEST!! A wheelchair ramp is 10 feet long. the ramp sits up on a 2 foot platform. How far is it from the end of the

irina [24]

Answer:

The distance between the end of the ramp and the bottom of the platform is about 9.8 feet

Step-by-step explanation:

use the pythagorean theorem (a²+b²=c²) to solve

a and b are the legs, c is the hypotenuse

plug in given values:

2² + x² = 10²

solve for x:

x² + 4 = 100

x² = 96

x ≈ 9.80

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3 years ago

Mr. Lopez, a Language Arts teacher, has his students read a certain number of pages out loud in class to start a book, and then

bazaltina [42]

the student read 35 pages in class to start the book because the days are like the pages assigned and read for homework

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3 years ago

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