The Law of Cosines would be your best bet here, since the unknown side is opposite the known angle 110 degrees.
|AC|^2 = (8 in)^2 + (23 in)^2 - 2(8 in)(23 in)*cos 110 degrees
= 64 in^2 + 529 in^2 - (368 in^2)*(-0.342)
= 593 in^2 + 126 in ^2 approximately
= 719 in^2 approximately
Then the length of side AC is approx. √(716 in^2) = 27 in
a. 7/ 8
b. 7/ 3
c. 50 / 24
d. 29/ 6
<h3>What is a fraction?</h3>
A fraction is a part of a whole. It is also known as the number is expressed as a quotient, with the numerator is divided by the denominator.
Simple fractions are made up of both are integers.
Complex fractions has a fraction in the numerator or denominator
Proper fractions, have the numerator less than the denominator.
a. 31/ 2÷ 4
7/ 2 ÷ 4
Take inverse of the second number and multiply
7/ 2 × 1/ 4
Multiply through
7/ 8
b. 3 2/ 3 ÷ 1 4/7
11/ 3 ÷ 11/ 7
Take inverse of the second number and multiply
11/ 3 × 7/ 11
Multiply through
7/ 3
c. 1/ 2 + 3/ 4 + 5/ 6
Find the LCM
12 + 18 + 20/ 24
We the have;
50 / 24
d. 11/ 2 - 2/ 3
Find the LCM
33 - 4/6
29/ 6
Thus, the answers are in improper fractions and can also be written in mixed fractions.
Learn more about fractions here:
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Equal to 1:
Less than 1:
Greater than 1:
Step-by-step explanation:
We will solve each product one by one.
So,
As we have all the answers now.
- If the denominator of a fraction is greater than ts numerator then the result is less than 1
- If the denominator of a fraction is less than its numerator then the result is greater than 1.
So,
Equal to 1:
Less than 1:
Greater than 1:
Keywords: Fractions, decimals
Learn more about fractions at:
#LearnwithBrainly
All you have to do here is replace f(x) with x + 2 and h(x) with 1/x-1.
It's like plugging in a number for x, but instead you are plugging in a whole function instead of just a number. Whenever you are pluging something in, whatever it is, make sure it is in parentheses: ( ) always!
Until your understanding of algebra becomes stronger.
2f(x)-hx
First lets plug in x + 2 for f(x). It's gonna look like this:
2(x + 2) - h(x)
Notice how I put x + 2 in parentheses next to the 2, you
a l w a y s want to do this. Now we just do the same for h(x):
2(x + 2) - (1/x - 1)
And that's it. That's all you have to do.
3(-1) + 9= -3 + 9= 6 that's the answer
