Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
cot A = 
, tanA = 
, cscA = 
, secA = 
Consider the right side
= 
= 
= 
× sinAcosA ( cancel sinAcosA )
= cos²A - sin²A
= cos2A
= left side ⇒ verified
Answer:
x = 8.75, y = 8.125
Step-by-step explanation:
The triangles are similar thus the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
8x = 70 ( divide both sides by 8 )
x = 8.75
And
= 
( cross- multiply )
8y = 65 ( divide both sides by 8 )
y = 8.125
Are we assuming that we are using an eight of a cup of pumpkin puree per latte?
If we are then the answer would be 1.042 cups of milk more than puree.
First we have to find out how much puree we are using.
That would be ( 1/8 ) × 5 = 0.125 × 5 = 0.625 cups of puree.
Then we would find how much milk we are using.
That would be ( 2/3 ) × 5 = 0.666666 ( a lot of sixes ) × 5 = 1.666666 ( a lot of sixes ).
To find the difference, you would then have to subtract the amount of puree from the amount of milk.
You would get 1.666666 − 0.625 = 1.0416666 ( also a lot of sixes ). If you are doing this with your own calculator you should get approximately the same number.
Since the number isn't exact you can round up all the sixes to the nearest thousandth. You should get approximately 1.042 cups.
I hope this helped.
Answer:
70 would be the answer to this question....apparently.
Step-by-step explanation:
