Jack bought 5 pounds of Halloween candy. He gave out 3 pounds of the candy to trick or treaters and ate 10 ouncess of the candy.
2 answers:
<h2><u>Answer:</u></h2>
The question is not complete but the information shows that we have to find out the ounces or pounds of candies left with Jack.
First we will write the relation between pound and ounce.
1 pound = 16 ounces.
Number of pounds of candies Jack bought = 5
Number of pounds of candies he gave to trick or treaters = 3
Number of pounds left =
Now, in ounces this becomes
As, Jack ate 10 ounces of candy, he is left with ounces
Or if in pounds, he is left with pounds
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Answer:
The correct answer is, B.
<h3>Answer: 
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Explanation:
The rule to use is
cos(x) = sin(y) if and only if x+y = 90
Proof of this statement is shown in the section below.
We say that angles x and y are complementary angles since they add to 90 degrees.
Use of a calculator shows,
cos(55) = 0.573576
sin(35) = 0.573576
both values being approximate.
note how 55+35 = 90.
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Proof of the claim that if x+y = 90, then cos(x) = sin(y)
Let x and y be the acute angles of a right triangle. See the diagram below. Sides a,b,c are such that 'a' is opposite angle x, b is opposite angle y, and c is the hypotenuse.
We can then say,
cos(angle) = adjacent/hypotenuse
cos(x) = b/c
and also,
sin(angle) = opposite/hypotenuse
sin(y) = b/c
Both are equal to b/c, which means cos(x) = sin(y)
x+y = 90 is true for any pair of acute angles of a right triangle.