Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
A percentage is equivalent to a fraction, a percentage is out of 100 therefore the fraction for this can be 28/100, as a decimal this would be .28. Therefore to solve this problem you would set up the problem as, 942 x .28= 263.76, you then take that number and subtract it from the original price of the tv, and you get the final price, of $678.24.
Answer:
81 adult tickets
Step-by-step explanation:
Step 1:
Set up a system of equations
Since the adult tickets and student tickets add to 243, we can do
and the student tickets sold were 2x the adult tickets, we can do
We can replace s in the first equation adding to 243 with 2a
Step 2:
Solve for a. We can divide both sides by 3.
Therefore, there were 81 adult tickets sold.
Step 3:
We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!
And...
So, 81 must be the answer!
The answer is D because then triangles DEF and ABC would mapped onto one another
Dividing by a complex number is a similar process to the above - we multiply top and bottom of the fraction by the conjugate of the bottom.
