There is a 150% increase.
Work is attached in the image provided.
Time taken to drive to her grandparents house = 6 5/6 hours
We convert this mixed into improper fraction, we get = 41/6 hours
Time taken to drive to her grandparents house = 41/6 hours
Time taken to drive back = 8 2/9 hours
We convert this mixed into improper fraction, we get = 74/9 hours
Time taken to drive back = 74/9 hours
Difference between the two = 74/9 - 41/6 = (148-123)/18 = 25/18 hours = 1 7/18 hours
Therefore it took 1 7/18 hours longer to drive back.
Answer:
25. Yes, it is a function, because none of the x outputs are repeating
An equilateral triangle has all side lengths the same, and all angles are 60 degrees. Using this we can split the triangle along its altitude to get two right triangles with a hypotenuse of length 10 and a base of 1/2 of the original length, so 5. Now we can either use the Pythagorean theorem (a^2+b^2=c^2) or the fact that it is a 30 60 90 triangle (angles measure at 30 60 and 90 degrees) Pythagorean theorem is probably easier.
It stated that the squares of the two legs of a right triangle add to the square of the hypotenuse. So a(the altitude)^2+5(the base)^2=10(the hypotenuse)^2
A^2+5^2=10^2
A^2+25=100
A^2=75
A=sqrt(75)
A=5*sqrt(3)
Final answer:
The altitude of an equilateral triangle with side length 10 is 5sqrt(3), or about 8.66
Answer:
The number is infinity
Step-by-step explanation:
Let the unknown number be x
if the number increased by three, then we have;
x + 3
Also quadrupling that number increased by five all divided by four is expressed as;
(4x+5)/4
Equating bith expressions and calculating x;
x+3 = (4x+5)/4
cross multiply;
4(x+3) = 4x + 5
4x+12 = 4x + 5
4x-4x = 5 - 12
0x = -7
x = -7/0
x = ∞
Hence the number is infinity
