Answer:
143 inches
Step-by-step explanation:
Let the triangle be
inches long.
Then the perimeter of the equilateral triangle will be
inches.
Let the length of the square also be
inches.
Then the perimeter is 
It was given that the perimeter of the equilateral triangle is 77 inches more than the perimeter of the square.
So we can write the relation


Also, the side of the triangle is 55 inches longer than the side of the square.
So we write
or 
We put equation (2) into equation (1) to get;

We expand the bracket to get;




Hence the triangle is 143 inches long.
-6 = r cos α and -8 = r sin α
r = sqrt( 6^2 + 8^2) = sqrt 100 = 10
α = arctan ( -8/-6) = arctan (4/3) = 53.13 degrees
polar firm = r ( cos α + i sin α)
= 10(cos 53.18 + i sin 53.18)
its been a long time but ui think thats correct
The surface of a sphere is given by the formula:
area=4πr²
Data:
r=30 m
area=4ππ(30 m)²=3600π m².
Answer: the area of this sphere is 3600π m².
It is helpful to become familiar with the rules for secants of a circle.
The product of the numbers on the same chord is the same.
.. 2*x = 5*8
.. x = 20
_____
The picture is not drawn to scale. (They almost never are.)
Answer:
Positive correlation, but not causal