3. The roof of a castle tower is shaped like a cone. The base of the cone is 20 m across, and the height is 25 m. The slant height of the roof, which is unknown, is the hypotonuse of the right triangle formed with the radius
and the height of the cone. Show all your work!
(a) Sketch the roof of the castle tower. Label tho known lengths as described and label the unknown
length as x
(b) What is the slant height of the roof to the nearest whole number?
Х

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857

(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

step-by-step explanation: