Hi there! Osvoldo did not meet his goal.
(In my answering I suppose you mean 30%, 220 grams of carbohydrates and 55 grams of whole grains, if this is incorrect, please let me know)
Today Osvoldo ate 220 grams of carbohydrates.
10 % of 220 is 22 (divide by 10), and therefore 30 % of 220 is 22 * 3 = 66.
If at least 66 grams of Osvoldo's total consumption consisted of whole grains, he would have met his goal. However, he only ate 55 grams of whole grains (which is less than 66), and therefore he did not meet his goal.
Answer:
Step-by-step explanation:
To find the Taylor series of sinc(x) we will use the taylor series of sin(x). We have that
which is the taylor series expansion based at 0. Then for 
, by dividing both sidex by x, we have that
which is the taylor series expansion for the sinc function. Since the series of sine converges for every value of x. Then the taylor series of sinc converges for every value of x, but 0.
Answer: Choice B
FH/FI = HG/IE
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Explanation:
We're told that triangles EFI and GFH are similar. The order of the lettering is important because it tells us how the angles pair up.
- E and G pair up because they are the first letters of EFI and GFH
- F and F pair up as they are the second letters
- I and H pair up because they are the third letters
This means
Furthermore, it means
- EF corresponds to FG
- FI corresponds to FH
- IE corresponds to GH
Focus on the last two items of the list above. We can then form the proportion
FI/FH = IE/GH
which is the same as
FH/FI = GH/IE
when we apply the reciprocal to both sides. Since HG is the same as GH, we can then say
FH/FI = HG/IE
So basically the corresponding sides create equal ratios to form this proportion. There are many other proportions that can be formed.
For any quadrilateral to be a parallelogram
i) either both the pairs of opposite sides must be equal
ii) Both the pairs of opposite sides must be parallel
iii) Opposite pairs of angles must be equal
iv) Diagonals must bisect each other.
v) A pair of opposite sides must be parallel and equal
Here we are already given that AB || CD
So either we should be given that AD || BC
or we must be given that AB = CD
Here it is given AB = CD as an option.
So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.
Answer:
Given that,
My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter.
Therefore, 1 whole sticks of butter is enough to make $100$ cupcakes.
