Answer:
Translation
Step-by-step explanation:
Transformation is the movement of objects in the coordinate plane. It can be through any of translation, reflection or rotation. The kind of transformation that occurs in ordered pairs is translation e.g if the ordered pair is (1, 4) x = 1, while y = 4. if it is translated we have (4, 1) such that x is now 4 while y is 1
Answer:
Step-by-step explanation:
Cost = Area Cylinder body* cost * 0.03 cm^3 + Area of 2 lids*cost 0.06 of cm^3
Volume = 300 cm^3
Volume = Base *h
Volume = pi * r^2 * h = 300
h = 300/(pi * r^2 )
Area material = 2*pi * r * h * 0.03 + 2 pi r^2 * 0.06
Area material = 0.06*pi * r * 300/(pi* r^2) + 0.12 * pi * r^2
dmaterial/dr = (-1)18 r^-2 + 0.12 pi * 2*r
dmaterial/dr = -18 r^-2 + 0.24 pi * r
The minimum occurs when the right side = 0
18/r^2 = 0.24 *pi r
18 = 0.24*pi * r^3
18/(0.24 * pi) = r^3
23.89 = r^3
cube root (23.89) = cuberoot(r^3)
r = 2.88 cm
h = 300/pi * r^2
h = 300/(3.14 * 2.88^2)
h = 11.52
This isn't much of a check but we can try it.
Volume = 3.14 * 2.88^2 * 11.52
Volume = 302.01 which considering all the rounding is pretty close.
Here's a graph that confirms my answer.
Answer:
49 1/2 miles per hour
Step-by-step explanation:
To determine the average speed, we take the miles and divide by the hours
speed ÷ hours
24 3/4 ÷ 1/2
Change the mixed number to an improper fraction
24 3/4 = (4* 24+3)/4 =99/4
99/4 ÷ 1/2
Copy dot flip
99/4 * 2/1
99/2
Change to a mixed number
2 goes into 99 49 times (49*2 = 98) with 1 left over
49 1/2 miles per hour
Answer: 562,5+315,75=878,25
Answer:
12
Step-by-step explanation:
12>0>-12