Answer:
10 units
Step-by-step explanation:
Represent the length of the shortest side of the triangle by x. Then the sum of the lengths of the other two sides is 2(x + 1), and the perimeter of the triangle is thus x + 2(x + 1), or 3x + 2.
Represent the side length of the square by x - 2. Then the perimeter of the square is 2(x - 2) + 2(x - 2) = 4(x - 2) = 4x - 8, and this perimeter matches that of the triangle:
4x - 8 = 3x + 2, or
x = 10
The length of the shortest side of the triangle is 10 units.
Solution:
We have to find the remainder when f(x) is divided by 
x²-1=0
x=
So, remainder is 13 and -13.
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
Answer: Annette will take 6 hours to do the entire job alone.
Step-by-step explanation:
Given: Time taken by Kelly to do 
of job = 2 hours
i.e. Time for complete job done alone by Kelly =
Rest of work = 
of the job
of the complete job done by both Kelly and Annette in 3 hours
Time would be taken by then to do entire job together = 
Let t be the time taken by Annette to do job alone.
Then, as per situation
hence, Annette will take 6 hours to do the entire job alone.
A: 50 cookies an hour (seth) 80 cookies an hour (erika)
b: 50:1 80:1
c: Seth, he bakes more in an hour
