What does the product of any whole-number factor multiplied by 100 always have ? Explain

1 answer:

6 0

<span>The product of any whole number factor multiplied by 100 will always have two zeros on the end, or a zero as the digit in both the tens and units column. For example, 1 x 100 is 100, 46 x 100 is 4600 and 7258 x 100 is 725,800.</span>

You might be interested in

A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the other is bent into a circle.

mezya [45]

1. Divide wire b in parts x and b-x.

2. Bend the b-x piece to form a triangle with side (b-x)/3

There are many ways to find the area of the equilateral triangle. One is by the formula A= $\frac{1}{2}sin60^{o}side*side= \frac{1}{2} \frac{ \sqrt{3} }{2} (\frac{b-x}{3}) ^{2}= \frac{ \sqrt{3} }{36}(b-x)^{2}$
A= $\frac{ \sqrt{3} }{36}(b-x)^{2}=\frac{ \sqrt{3} }{36}( b^{2}-2bx+ x^{2} )=\frac{ \sqrt{3} }{36}b^{2}-\frac{ \sqrt{3} }{18}bx+ \frac{ \sqrt{3} }{36}x^{2}$

Another way is apply the formula A=1/2*base*altitude,
where the altitude can be found by applying the pythagorean theorem on the triangle with hypothenuse (b-x)/3 and side (b-x)/6

3. Let x be the circumference of the circle.

$2 \pi r=x$

so $r= \frac{x}{2 \pi }$

Area of circle = $\pi r^{2}= \pi ( \frac{x}{2 \pi } )^{2} = \frac{ \pi }{ 4 \pi ^{2} }* x^{2} = \frac{1}{4 \pi } x^{2}$

4. Let f(x)= $\frac{ \sqrt{3} }{36}b^{2}-\frac{ \sqrt{3} }{18}bx+ \frac{ \sqrt{3} }{36}x^{2}+\frac{1}{4 \pi } x^{2}$

be the function of the sum of the areas of the triangle and circle.

5. f(x) is a minimum means f'(x)=0

f'(x)= $\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x$ =0

$\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x=0$

$(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) x=\frac{ \sqrt{3} }{18}b$

$x= \frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$

6. So one part is $\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$ and the other part is b- $\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$

4 0

3 years ago

Read 2 more answers

Please Help!

allochka39001 [22]

It would be 4/15 is greater.
4/15 = 26% wrong
3/10 = 30% wrong

5 0

3 years ago

Read 2 more answers

14m + 51 - 6s + 75 - 81 + 115 - 95 - 41 + 10p - 3p + 51<br> what is the coefficient of m?

densk [106]

Answer:

$14is \: coefficient \: of \: m$

4 0

2 years ago

What is the x value 5x+8-3x=-10

otez555 [7]

5x + 8 - 3x = 10
First you can combine the like terms.
5x - 3x + 8 = 10
2x + 8 = 10
- 8 - 8
2x = 2
$\frac{2x}{2} = \frac{2}{2}$
x=1

3 0

3 years ago

Read 2 more answers

How do you sketch the graph of y=(x 3)^2 6 and describe the transformation?

mr_godi [17]

This graph is a Quadratic Graph meaning it is a "U" shape. I am unable to help with the transformations since I am unaware of the signs in the problem. But I hope I helped

4 0

3 years ago