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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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Perform each indicated operation
MissTica

Answer: \frac{x+6}{x-4}

Step-by-step explanation:

First you need know some general formuals of factorization such as

x^3+y^3=(x+y)(x^2-xy+y^2) so you have x^3+64=X^3+4^3=(x+4)(x^2-4x+4^2)

And, x^2-y^2=(x-y)(x+y) so you have 2x^2-32=2(x^2-16)=2(x^2-4^2)=2(x+4)(x-4)

If you use them, then you can modify your equations such as

\frac{x^3+64}{2x^2-32} ÷ \frac{x^2-4x+16}{2x+12} = \frac{(x+4)(x^2-4x+4^2)}{2(x+4)(x-4)} ÷ \frac{x^2-4x+16}{2(x+6)}  =  \frac{(x+4)(x^2-4x+4^2)}{2(x+4)(x-4)} . \frac{2(x+6)}{{x^2-4x+16}} = \frac{1}{x-4}.\frac{x+6}{1}=\frac{x+6}{x-4}

4 0
3 years ago
Question #45 plz all answers will help
Veseljchak [2.6K]
To solve this, you can use this equation:

1530 ÷ 15 = x

Find x.
6 0
3 years ago
Three cities form a right triangle on a map. Cities B and C are the furthest apart. If cities A and B are 14 miles apart And cit
nekit [7.7K]

Answer:

26.1miles

Step-by-step explanation:

If three cities A, B and C form a right triangle on a map, and the Cities B and C are the furthest apart, then the distance between cities B and C will be the hypotenuse of the triangle.

If cities A and B are 14 miles apart, then |AB| = 14miles

Also if cities A and C are 22 miles apart, then |AC| = 22miles.

To get |BC| which is the distance between cities B and C, we will use the Pythagoras theorem.

|BC|² = |AB|² + |AC|²

|BC|² = 14²+22²

|BC|² = 196+484

|BC|² = 680

|BC| = √680

|BC| = 26.1miles

This means that cities B and C are 26.1miles apart

7 0
3 years ago
3. Emilio is going to run 6 miles a day for 8 days. How many miles will he have completed
Nastasia [14]

Answer:

48

Step-by-step explanation:

6(miles per day) * 8(days) = 48

7 0
3 years ago
An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.
weeeeeb [17]

Answer:

20,475\ ways

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

C(n,r)=\frac{n!}{r!(n-r)!}

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

n=28\\r=4

substitute

C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}

simplify

C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}

C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}

C(28,4)=20,475\ ways

6 0
3 years ago
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