Hello!
A mixed number is a combination of an integer and a fraction. For example, 1 1/2 is a mixed number. An improper fraction is where the numerator is greater than the denominator. For example, 3/2.
To write a mixed number as the improper fraction, first convert the integer to be a fraction with the same denominator. I'm going to use the mixed number 5 2/3 as an example here.
5 2/3 = 15/3 + 2/3
Now, add together the two fractions.
15/3 + 2/3 = 17/3
And there you have your improper fraction.
Hope this helps!
These are the answers in order:
2.99999....
9.99999....
12
5.3333....
0.6666...
11.999.....
6
2.5
Answer:
-15
Step-by-step explanation:
Answer:
Max value for t is -1 and minimum value for t is -5
Step-by-step explanation:
Make two inequalities in regards to absolute value and solve both for t:
t+3<=2 and t+3>=-2
t<=-1 and t>=-5
The compound inequality would be -1>=t>=-5
Answer:
sin(θ) =
Step-by-step explanation:
See the attachment.
We know that cosine is adjacent divided by hypotenuse. So since cos(θ) = -2/11, then the adjacent is -2 and the hypotenuse is 11.
Sine is opposite divided by hypotenuse. Find the opposite, which is the unlabelled side, by using the Pythagorean Theorem:
x =
So, sin(θ) =
Hope this helps!