Answer:
I hope this helpfull.
Step-by-step explanation:
<em>B</em><em>u</em><em>t</em><em> </em><em>i</em><em>f</em><em> </em><em>i</em><em>t</em><em> </em><em>n</em><em>o</em><em>t</em><em>,</em><em>i</em><em>m</em><em> </em><em>s</em><em>o</em><em> </em><em>s</em><em>o</em><em>r</em><em>r</em><em>y</em>
Like all problems that involve images within the question, we should definitely try to draw this out. In the picture above, I have done this.
Now, we can see that this is just a simple proportion problem. For every 2.5 cm of height of the flower, we are 2 cm from the opening, or aperture. For every 20 cm of height, how far are we? We can set up the problem like this:
20 ............2.5
-------- = ---------
...x ............. 2
where x is the unknown distance to the aperture from the flower. Now, we just need to get x by itself. A typical way of solving something like this is by doing "butterfly multiplication" which is really just a shortcut haha. Anyway, I can rewrite that equation ^ as:
20×2 = 2.5 × x
Then, to solve for x, we would divide both sides by 2.5. (If you don't know why that is, please let me know and I'll elaborate).
We would then have:
20×2
------- = x
2.5
Which then simplifies to:
x = 16
Try using the same logic for your second question, and if you get stuck, I'd be happy to help! please let me know if any of this doesn't make sense. :)
Hello,
1.8444444....=1.8+1/10*0.44444....
=1.8+1/10*4/9
=1.8+4/90
=162/90+4/90
=166/90
=83/45
2.126262626...=2.1+1/10*0.262626...
=2.1+1/10*26/99
=2.1+26/990
=2079/990+26/990
=2105/990
=421/198
The percent would be 560%
I got radius= 54
arc/2pi r = degrees/360
then fill in what you know: 24pi/2pi r = 80/360
Now cross multiply and you get: 8640pi = 160pi r
Now divide both sides by 160pi and you get: 54= r
