1, because 1 1/3 is only 1/3, or 0.3 recurring, away from 1, but it is 2/3, or 0.6 recurring, away from 2.
you are looking for a unit rate (for 1 quart of red, how much white is used).
notice all red amounts are less than white, so b and c make no sense.
I look at the 4:20 and think, half of the paint would be 2:10, half of that is 1:5
(you could also start with 4:20 and divide each by 4 to get this answer)
For a right triangle with 60° angle, and hypotenuse h=10√3,
x=h*sin(60)=10√ 3 * √3/2 = 30/2=15
y=h*cos(60)=10√3 * (1/2) = 5√3
Answer:
The explicit formula for the given expression is 2 n - 3
Step-by-step explanation:
Here, the first term of sequence = -1
The common difference = 2
In a ARITHMETIC PROGRESSION:
The nth term of a sequence is given as
a(n) = a + (n-1) d
⇒ Here, a(n) = -1 + (n-1)(2)
= -1 + 2n -2
= 2n - 3
or, a(n) = 2n - 3
Hence, the explicit formula for the given expression is 2n - 3.
Answer: Choice B) {3, 5, sqrt(34)}
=====================================
Explanation:
We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.
-----------
For choice A,
a = 2
b = 3
c = sqrt(10)
So,
a^2+b^2 = 2^2+3^2 = 4+9 = 13
but
c^2 = (sqrt(10))^2 = 10
which is not equal to 13 from above. Cross choice A off the list.
-----------
Checking choice B
a = 3
b = 5
c = sqrt(34)
Square each equation
a^2 = 3^2 = 9
b^2 = 5^2 = 25
c^2 = (sqrt(34))^2 = 34
We can see that
a^2+b^2 = 9+25 = 34
which is exactly equal to c^2 above. This confirms the answer.
-----------
Let's check choice C
a = 5, b = 8, c = 12
a^2 = 25, b^2 = 64, c^2 = 144
So,
a^2+b^2 = c^2
25+64 = 144
89 = 144
which is a false equation allowing us to cross choice C off the list.
