I think the answer would be C but I am not certain.
Answer:
7/8=0.875 7/20=0.35 18/20=0.9 7/8=0.875 68/50=1.36 25/20=1.25 26/25=1.04 11/10=1.1 11/16=0.6875 9/16=0.5625 33/40=0.825 23/40=0.575 14/10=1.4 29/25=1.16 39/40=0.975
Step-by-step explanation:
No, he cannot measure the amounts of hot sauce neither oregano because for it to be exact he would need a 1/3 teaspoon for it to work. No matter what, nothing would work to get the exact measurements, like I stated before, he would need a 1/3 teaspoon to get it exact. So he needs to go to the store to make his recipe or he needs to change the measurements to fit with what he has. He could still measure it but it would not be exact.
Step-by-step explanation:
We must prove that
cos²a(csc²a-cot²a) = cos²a
If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.
We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that
cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get
cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))
Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get
cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)
= cos²a(1)
= cos²a
