Answer:
the 3 pieces are 5.16ft each and the 14% that he cut off is 2.52 ft
Step-by-step explanation:
the 14 % that he cut off is 2.52ft
he has 15.48ft left
15.48/3=5.16
Step-by-step explanation:
We have cartisean points. We are trying to find polar points.
We can find r by applying the pythagorean theorem to the x value and y values.

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

Remeber since we are trying to find the angle measure, use inverse tan function

Answers For 2,5

So r=sqr root of 29

So the answer is (sqr root of 29,68).
For -3,3


Use the identity

So that means

So our points are
(3 times sqr root of 2, 135)
For 5,-3.5


So our points are (sqr root of 37.25, 35)
For (0,-5.4)

So r=5.4

So our points are (5.4, undefined)
Answer:
6a) 1
6b) 11
7a) 4
7b) 10
8a) 6
8b) 14
9a) 11
9b) 13
Step-by-step explanation:
In order to make a triangle, we need to follow this property:
a <= b + c
(Known as "triangle inequality")
Where 'a' is the bigger side and 'b' and 'c' are the other two sides.
So, using this property, we can solve the following problems:
6a) Maximum side will be 6:
6 <= 5 + c
c = 1
6b) Minimum sides will be 5 and 6:
a <= 5 + 6
a = 11
7a) Maximum side will be 7:
7 <= 3 + c
c = 4
7b) Minimum sides will be 3 and 7:
a <= 3 + 7
a = 10
8a) Maximum side will be 10:
10 <= 4 + c
c = 6
8b) Minimum sides will be 4 and 10:
a <= 4 + 10
a = 14
9a) Maximum side will be 12:
12 <= 1 + c
c = 11
9b) Minimum sides will be 1 and 12:
a <= 1 + 12
a = 13
Answer:
(3x-2)^2
Step-by-step explanation:
Factor out the expression.