The common denominator is 1
Given the expression:
Find the LCM of the numerator to have:
Simplify both the numerator and the denominator to have:

From the result, we can see that the common denominator is 1
Learn more about fractions here: brainly.com/question/17743912
Answer:
150 pi inches or 471.239 inches traveled
Step-by-step explanation:
First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.
You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel
The formula for circumference is 2(pi)(r) or (pi)(diameter)
We are given diameter, so let's find distance traveled for one rotation
pi(15 inches) = 15pi inches per rotation.
There are 10 rotations, so:
(15pi inches/rotation)(10 rotations) = 150pi inches travelled
150 x pi = 471.239 inches traveled
Answer:
Yes, Mina is correct
Step-by-step explanation:
Let the triangles be A and B
Given
Triangle A:

Triangle B:

Required
Is Mina's claim correct?
First, we calculate the third angle in both triangles.
For A:


For B:


For triangle A, the angles are: 34, 57 and 89
For triangle B, the angles are: 34, 57 and 89
<em>Since both triangles have the same angles, then by the postulate of AAA (Angle-Angle-Angle), the triangles are similar.</em>
Answer:
y = -1/5x +32/5
Step-by-step explanation:
The slope intercept form of the equation of a line is
y = mx+b
we know m = -1/5
y = -1/5x+b
We know a x and y on the line
7 = -1/5(-3) +b
7 = 3/5 +b
Subtract 3/5 from each side
35/5 -3/5 = b
32/5 =b
So the equation is
y = -1/5x +32/5
5 times the quotient of 2 numbers is 5(r/t)
Answer is the third option
5(r/t)