Answer:
The lengths of the sides are 2.2 ft and 4.5 ft
Step-by-step explanation:
Let
a -----> the length of one side of the mosaic
b ----> the length of the other side of the mosaic
c ----> the hypotenuse of the mosaic
we know that
Applying the Pythagoras Theorem
-----> equation A
we have
-----> equation B
-----> equation C
substitute equation B and equation C in equation A and solve for b
Find the value of a
------> 
therefore
The lengths of the sides are 2.2 ft and 4.5 ft
2,000,000
+ 0
+ 30,000
+ 6,000
+ 0
+ 10
+ 7
Answer:
(6,2)
Step-by-step explanation:
Variable Definitions:
x= the number of commercials
y= the number of movies
Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:
50x+150y=600
Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.
x=3y
Write System of Equations:
50x+150y=600
x=3y
Solve for y in each equation:
1) 50x+150y=600
150y=−50x+600
y=-1/3x+4
2) x=3y
y=1/3x
The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:
Emily's songs were played on 6 commercials and 2 movies.
Answer:
The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 3 times the volume of the cone.
