Find the height of a cylinder with radius 25 cm and surface area 8953.54 cm2.

32.00 cm

16.00 cm

31.00 cm

62.00 cm

find the volume of a rectangular prism that measures 47 meters long, 24 meters wide, and 33 meters high.

18,612 m3

37,224 m3

12,408 m3

6204 m3

find the surface area of a square pyramid with dimensions 6 ft by 6 ft, and slant height 9 ft.

108 ft2

144 ft2

30.0 ft2

60.0 ft2

Find the height of a cylinder with radius 25 cm and surface area 8953.54 cm².

O = 2·pi·r^2 + 2·pi·r·h --> h = O/(2·pi·r) - r = 8953.54/(2·pi·25) - 25 = 32.00 cm

Find the volume of a rectangular prism that measures 47 meters long, 24 meters wide, and 33 meters high.

V = a·b·c = 47·24·33 = 37224 m³

Find the surface area of a square pyramid with dimensions 6 ft by 6 ft, and slant height 9 ft.

O = a^2 + 2·a·hs = 6^2 + 2·6·9 = 144 ft²

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3