Answer: 62
Explanation: It's an equilateral triangle
Jason: 5/7
Sara: 4/5
Think of it this way: if the total track is a mile, and Jason runs 5/7 of it, he has run 5/7 of a mile. Then Sara runs 4/5 OF 5/7, with "of" meaning "times," so she runs 4/5 x 5/7, which gives you 20/35, which simplifies to 4/7. You can also think of Sara's distance as 80 percent of Jason's. If she runs "80 percent of the sevenths that Jason ran," that means she ran 4 out of his 5 sevenths.
Answer:
x = 1.5
Step-by-step explanation:
Given
Required
Find the value of x.
First, the inequalities need to be rewritten and merged;
if , then
Multiply both sides by 2
Similarly;
Multiply both sides by 2
Merging these results together; to give
This means that the range of values of x is from 1.5 to 4.9999....
From the question, x is the smallest rational number; from the range above (), the minimum value of x is 1.5 and 1.5 is a rational number;
Hence, x = 1.5
X equals one. Hope this helps!
Remark
pi/4 is between 0 and pi/2 which means that pi/4 is in the first quadrant.
5*pi / 4 is between pi and 3/2 pi which means that the angle is in the third quadrant.
So you are talking about one two angles that are in the first and third quadrants.
Step One
Find the Tangent of pi/4 using the unit circle as a reference.
Since pi/4 is 1/2 way between 0 and pi/2 you are referring to something that has and x value of 0.707 for an x value and 0.707 for a y value. (They are equal)
That is the point where the opposite / adjacent = 0.707/0.707 = 1
Step Two
Find the tangent of 5pi/4 using the unit circle.
Using the same argument as pi/4 this time the opposite / adjacent = -0.707/-0.707 = 1 ( the two minus signs cancel out.)
