Y=1/3x-1. i’m not sure what point slope is but that’s slope intercept.
Answer:
To find the cube root of a number is a bit more complicated and in our days is considered impractical, but here is a method explained. Look at the 2nd example scrolling down about 1/3 of the page
If you want to know the concept of square roots and cube roots ?
the square root of a number is that number which when multiplied by itself two times gives us that number
e.g.
√64 = x , so that (x)(x) = 64
and from our multiplication table we know that
(8)(8) = 64 , so that
√64 = 8
the cube root of a number is that number which when multiplied by itself three times gives us that number
e.g.
∛64 = x , so that (x)(x)(x) = 64 , and thus x = 4 because 4x4x4 = 64
so ∛64 = 4
for 9 I wrote Any decimal which terminates is rational
any decimal which has a repeat is rational
any decimal which does not show any repeating decimals and which is never-ending is irrational
Step-by-step explanation:
There are a total of 10 + 4 = 14 kg of syrup.
4 out of the 14 kg are sugar so the percentage is:
4/14 = 28.6%
Edit: The answer is correct. I don’t know why it was flagged as incorrect.
The total amount of ingredients in the syrup is 14 kg. Of the 14 kg, 4 kg is composed of sugar. So, 4 kg of sugar divided by the 14 kg of total weight will give you the percentage of sugar.
4/14 = 0.285714285714286
With an additional significant figure, the answer is 28.57%
Answer:
9.9 feet.
Step-by-step explanation:
Solution:
- If the swing were to hang straight down, it would be hanging at an angle of -90 degrees from the horizontal. If it is moving from -45 degrees from the horizontal to -135 degrees from the horizontal, this means that it is swinging from 45 degrees to the right of the straight-down position to 45 degrees to the left of the straight-down position.
- The swing is of length L = 10 - 3 = 7 feet. Recall that it hangs from a beam 10 feet above the ground and the seat hangs 3 feet above the ground in its straight-down rest position.
- Let's consider the swing at one of its extreme positions where it makes an angle of 45 degrees from the vertical. In this position, you can imagine the swing forming a right triangle with the highest vertex angle being 45 degrees and the hypotenuse being L = 7 feet. To calculate the horizontal leg of this triangle, you would use the sine function.
sin(45 deg) = x/L
So,
x = L*sin(45 deg)
x = 7*sin(40 deg) = 4.95 feet
- But, this is only the horizontal distance that the swing traverses from one extreme position to hanging straight down. It needs to complete its motion and swing up to the other extreme position. So, in moving from one extreme position to the other, the swing traverses a horizontal distance of
2x = 2*4.95 feet = 9.9 feet.
