Answer:
sin(x) = 5/13
cos(y) = 5/12
Therefore, sin(x) = cos(y)
Step-by-step explanation:
Trig ratios:
where 
is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle
We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem 
(where a and b are the legs and c is the hypotenuse of a right triangle)
Now we can use the trig ratios:
Therefore, sin(x) = cos(y)
Answer:
mean = $11.15
median = $11.30
mode = $9.90, $10.70, $11.90, $12.05
Step-by-step explanation:
Ordered from smallest to largest
9.89, 10.71, 11.90, 12.06
The mean is the middle number.
There are two numbers in the middle so you have to add them together and divide by 2.
(10.71 + 11.90)/2 = 11.305
rounded 11.30
Mode is the number that appears the most. All of the prices are listed once. They are all the mode.
Mean is (10.71+11.90+9.89+12.06)/4 = 11.14
round 11.15
Answer:
72 spheres are formed
Step-by-step explanation:
We start by calculating the volume of the metallic cylinder
Mathematically, we have this as;
V = pi * r^2 * h
V = pi * 21 * 14^2
V = 4116 π cm^3
The volume of each small sphere is;
V = 4/3 * pi * r^3
= 4/3 * π * 7/2^3 = 57.167 π cm^3
To get the number of small spheres, we simply divide the volumes
That will be 4116 pi / 57.167 pi = 72
Parenthesis according to the PEMDAS rule
So
7(x - 4) = 84
Would be
7x -28 = 84
Hope this helped :)
