Answer:
5/10 or 1/2
Step-by-step explanation:
Beth ate 2/10 so 2/10+3/10+2/10=5/10=1/2
Answer:
45
Step-by-step explanation:
Set up ratios for 2 similar triangles:
20/28=x/x+18
Cross multiply
28x=20x+360
8x=360
x=45
Answer:
1 1/8 cup of brown sugar.
Step-by-step explanation:
Here is the correct question: A recipe calls for 3/4 cup brown sugar for each 2/3 cup white sugar. How many cups of brown sugar per cup of white sugar is this?
Given: 3/4 cup of brown sugar for each 2/3 cup of white sugar.
Finding requirement of brown sugar for 1 cup of white sugar.
∴ Each 2/3 cup of white sugar require 3/4 cup of brown sugar.
Now, 1 cup of white sugar require brown sugar = 
= 
Thus, we can say
= 1 1/8 cup of brown sugar is required per cup of white sugar.
Answer:

Step-by-step explanation:
Let
be the length of the longer side of the smaller rectangle and
be the length of the shorter side of the smaller rectangle
When you look at the combined rectangle from top to bottom, you can see that
. Therefore, 
This is the same for
. Thus, 
When you look from right to left, you can see that
. Using this, we can represent
in terms of
.

Now, we can find the ratio of
:

<u>This question was quite hard to explain.</u>
<u>If you have any questions about the solution, feel free to ask.</u>
<u>Please have a look at the diagram below to get a better understanding of the solution.</u>
Answer:

Step-by-step explanation:
Given - The circumference of the ellipse approximated by
where 2a and 2b are the lengths of 2 the axes of the ellipse.
To find - Which equation is the result of solving the formula of the circumference for b ?
Solution -

Squaring Both sides, we get
![[\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }](https://tex.z-dn.net/?f=%5B%5Cfrac%7BC%7D%7B2%5Cpi%20%7D%5D%5E%7B2%7D%20%20%20%3D%20%20%5B%5Csqrt%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5D%5E%7B2%7D%20%5C%5C%5Cfrac%7BC%5E%7B2%7D%20%7D%7B%282%5Cpi%29%5E%7B2%7D%20%20%7D%20%20%20%3D%20%20%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5C%5C2%5Cfrac%7BC%5E%7B2%7D%20%7D%7B4%28%5Cpi%29%5E%7B2%7D%20%20%7D%20%20%20%3D%20%20%7B%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D)

∴ we get
