1. OK, we want csc A, which is 1/sin A. When we have a right triangle whose hypotenuse is the square root of two times the side, we're where the Pythagoreans were twenty five hundred years ago when they realized the diagonal of the unit square was incommensurate with the side.
In other words we have an isoceles right triangle, 45 degree angles,
and
. So
so
fourth choice.
2. AC adjacent to 23, C is a right angle because 23+67=90. We have hypotenuse AB, so
, choice four.
3. The cosine is adjacent over hypotenuse.
The sine is opposite over hypotenuse,
First choice
Answer:
1
Step-by-step explanation:
Answer: a > b > cand a + b + c = 3/2
Step-by-step explanation:
Answer:
Third option. 
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
Where 
As you can observe, 
is the reciprocal of 
In this case you have the following expression given in the exercise:
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of 
is the one shown below:
Answer:
22
Step-by-step explanation:
f. 24-(5-9+18)÷7
24-(14)÷ 7
24 - 2 = 22
hope it helps.....
