A prediction that suggests what you expect will happened is called a Conjecture.
It is different from probability.
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
Answer: 2 bottles of juice.
Step-by-step explanation:
15×1.5=22.5
28.5-22.5=6
6/3=2
Answer:
0. 13 (the 13 recurring)
Step-by-step explanation:
Simply divide 13 by 99 on a calculator, can't be demonstrated here
Answer:
g=8
Step-by-step explanation:
First, let's find the equation of the line.
Using point-slope form, which is y-y1=m(x-x1)
we can substitute the given slope (3) and the point (5,5) into the equation
y-5=3(x-5)
do distributive property
y-5=3x-15
add 5 to both sides
y=3x-10
the equation of the line is y=3x-10
since the point (6,g) will fall on the line, we can put it into the equation to find y
y=3(6)-10
y=18-10
y=8
y, or g=8
hope this helps!