Answer:
5 miles
Step-by-step explanation:
This is because if you draw a line going west and label it as 4 miles, then draw another line going south and label it 3 miles, you form a right angle, right? So, the fastest way to go back would be taking a diagonal-like route back to the beginning. Does this shape look familiar to you? Right! It's a right triangle. And do the numbers 3, 4, and 5 sound familiar to you? Yup, it's a Pythagorean triplet. If the legs of a right triangle are 3 and 4, the hypotenuse is 5. Why am I saying this? Because, in the drawing you just did, the 4 miles west and 3 miles south were the legs, and the diagonal path back to the beginning is the hypotenuse. Get it now?
Happy to help! :)
"Simplifying a complex fraction" means Simplifying a complex fraction means to rewrite the fractions in the numerator and in the denominator with common denominators.
Step-by-step explanation:
A complex fraction is one where either the numerator or the denominator or both contains common a fraction.
There are two methods to simplify a complex fraction-
First Method
- We simplify the numerator until we have one single fraction.
- Then we simplify the denominator until we have one single fraction.
then we divide by multiplying the numerator by the reciprocal of the denominator.
- The end result is simplified
Second Method
- Firstly we find a common denominator of all the fractions in the numerator and all the fractions in the denominator .
- Then we multiply the number in the numerator and denominator of the complex fraction by a common denominator found in step 1.
- The result is simplified
One is 48, the other is 90 since it is supplementary to the other right angle. All three angles of a triangle always add up to 180 degrees.
So 48+ 90 + x = 180
x = 42 degrees
Answer:
140 ways
Step-by-step explanation:
4 x 5 x 7 = 140
