Step-by-step explanation:
sin⁴ x − sin² x
Factor:
(sin² x) (sin² x − 1)
Pythagorean identity:
(1 − cos² x) (-cos² x)
Distribute:
-cos² x + cos⁴ x
cos⁴ x − cos² x
Answer:
9³
Step-by-step explanation:
We need to find the value of .
We know that,
Here, a = 5 and b = 2.
So,
So, the answer to the given expression is 9³.
Answer:
A = 73.33
B = 53.33
C = 53.33
Step-by-step explanation:
Mathematically, adding the 3 angles would equal 180
Thus;
A + B + C = 180 •••••(i)
Since B and C are congruent, that means they are equal ( we are looking at isosceles triangle)
B = C •••••••••(ii)
Lastly;
B = A -20 ••••••••(iii)
Make a substitution in equation 1;
A + A -20 + A -20 = 180
Since B = C ; C also is A-20
3A -40 = 180
3A = 220
A = 220/3 = 73.33
B = C = A -20 = 73.33 -20 = 53.33
9514 1404 393
Answer:
replace recipe quantities:
1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5
Step-by-step explanation:
The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.
The numbers in the recipe (ignoring units or ingredients) are ...
1/4, 1/2, 1, 1 1/2, 2
Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.
1/4 × 5/2 = 5/8
1/2 × 5/2 = 5/4 = 1 1/4
1 × 5/2 = 5/2 = 2 1/2
(1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4
2 × 5/2 = 5
Then, to make the larger recipe, rewrite it with the quantities replaced as follows:
old value ⇒ new value
1/4 ⇒ 5/8
1/2 ⇒ 1 1/4
1 ⇒ 2 1/2
1 1/2 ⇒ 3 3/4
2 ⇒ 5
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For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes
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<em>Additional comment</em>
If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)