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IrinaVladis [17]
3 years ago
7

A bead is formed by drilling a cylindrical hole of 2mm diameter through a sphere with an 8mm diameter. Estimate the volume of th

e bead.
Mathematics
1 answer:
nydimaria [60]3 years ago
6 0
The bead is in a cylindrical shape and the formula for solving the volume of a cylinder is V=pi*r²*h where "r" is the radius, "h" for the height.
We have given values such as:
r=diameter/2 = 2/2 = 1mm
h= 8mm
Solving for the volume, we have:
V=3.14*1²*8
V=24.12 mm²

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Answer:

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Step-by-step explanation:

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( you have to multiply what is inside the parenthases to get to the first step that i did)

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X2 + 8x + 19 = 0 What is the equivilent that results from completing the square?
IrinaVladis [17]

Answer:

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Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: ax^2+bx+c

So order to complete the square, you need to take the b term out of the equation, divide it by two, and then square it

In this case, the b term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

x^2+8x+16+19=16

Now you can simplify the LHS

(x+4)^2 +19=16

Now you subtract 16 from both sides

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ziro4ka [17]
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Why is the ? in the proportion below equal to QR? Explain why.
Artyom0805 [142]

9514 1404 393

Answer:

  A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.

Step-by-step explanation:

In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).

Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.

Those two triangles are similar, so we can write ...

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In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:

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When this is rewritten to solve for SQ, we get ...

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Answer:

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Step-by-step explanation:

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