What would you substitute for height when a cylinder is optimized?
Height = Diameter
Height = 2xRadius
100
What is the area of a circle with radius=3
28.26
200
Find the slope of a line with points (4,5) and (-3,2)
3/7
200
what is 1/2 squared?
1/4
200
4-3x=0
4/3 or 1 1/3
200
A right triangle has the hypotenuse of 10 and one side is 8. What is the last side?
6
200
Find the volume of a cone with height 3cm and radius 4cm
150.72
300
Draw a partial variation which goes through point (4,4)
Graph of line which does not go through (0,0) and does go through (4,4)
300
(2x^2y^4)(3xy)
6x^3y^5
300
3x-5=-6x-8
x=-1
300
A line has a slope perpendicular to 3 and passes through the point (1, 4). Write the equation of the line.
y = -1/3 x + 4.33
300
Find the total area of a yard which is a 2 by 6 rectangle attached to a semi circle with radius 4cm
37.12
400
Rearrange the equation to y=mx+b form
3x+4y-12=0
y=(-3/4)x-3
400
6x^4y^6z/3y^3
2x^4y^3z
400
2(x/4+5)=12
x=4
400
Mr. Byckalo starts crying. He spilled 2L of milk on the floor. 100 ml of milk covers 4 square feet. How many square feet did the milk cover? (Note 1000ml = 1L)
80 square feet
400
Find the surface area of a tower which consists of cone on a cylinder. The cone has a height of 3cm and the cylinder a height of 2 cm. The bottom of the cylinder is sitting on the ground and does not count toward the surface area. Both cone and cylinder have a diameter of 4 cm.
sa cylinder = 25.12
sa cone= 22.64
total= 47.76
500
Find the y-intercept of a line with slope=2 and which goes through point (4,6)
-2
500
3x(4x^2+2xy+3y^2)
12x^3+6x^2y+9xy^2
500
-4(2x-5)=-3(3x-5)
x=-5
500
If the width of a desk is 5 times 'x' plus 4, and the length is 8 minus 2 times 'x', what is the perimeter of the desk? Write as a simplified expression.
P = 6x + 24
500
A rectangle has a side (x+5) and another side (6). The area of the rectangle is 90.
Find the perimeter of the rectangle