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2 years ago

Help plz:)))I’ll mark u Brainliest

Mathematics

1 answer:

notka56 [123]2 years ago

6 0

Answer:

21/35

Step-by-step explanation:

Given :

A right angled triangle with sides 28 , 35 ,21 .

And we need to find the value of cos A. We know that cosine is the ratio of base and Hypotenuse. So that ,

$:\implies$ cos A = b/h

$:\implies$ cosA = 21/35

$:\implies$ Hence the required Answer is 21/35.

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3 years ago

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3 years ago

What is smallest number that is divisible by 20 ,48and 72

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2 years ago

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A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u

OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

$\displaystyle\frac{8000\pi\sqrt{2}}{3}$

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

$x^2+y^2=15^2\to y=\sqrt{225-x^2}$

Then we set the integral for the volume by using shell method:

$\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx$

That can be solved by substitution:

$u=225-x^2\to du=-2xdx$

The limits of integration also change:

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For x=15: $u=225-15^2=0$

So the integral becomes:

$\displaystyle -\int_{200}^{0}\pi \sqrt{u}du$

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

$\displaystyle \int_{0}^{200}\pi u^{1/2}du$

Then applying the basic rule we get:

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Since that is just half of the solid, we multiply by 2 to get the complete volume:

$\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}$

$=\displaystyle\frac{8000\pi\sqrt{2}}{3}$

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3 years ago

What is the equation of the line that has a slope of -3 and passes through the point (-2, 4)?

ludmilkaskok [199]

Y = -3x + b
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2 years ago