Answer:
Dilation of 3
Step-by-step explanation:
Area=length*width
let the sides perpendicular to the river be x
then the side parallel to the river is 4,700-2x
A(x)=x(4700-2x)
A(x)=4700x-2x^2
This a quadratic function with a=-2 and b=4700
thus
Maximum area occurs where x=-b/2a=-4700(-2*2)=1,175 ft
length=4700-2(1175)=2,350 ft
Answer: 156 miles
Step-by-step explanation:
Given, A group of cyclists went bike riding during a 7-day vacation.
Total distance they biked in first three days = 131 miles
Total distance they biked by the end of the vacation ( i.e. in 7 days ) = 287 miles
Then, the total distance they biked in last four days would be=
(Total distance they biked in 7 days ) - (Total distance they biked in first 3 days )
= 287 - 131 miles
= 156 miles
Hence, they biked 156 miles in last 4 days.
Answer:
If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is
Use following formulas to determine volumes of sphere and cylinder:
wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.
Then
Answer 1: correct choice is C.
If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So
R'=2R, r'=2r, h'=2h.
Write the new fask volume:
Then
Answer 2: correct choice is D.
Step-by-step explanation:
Firstly , we will locate centres and radius in the figures
(a)
We can see that
centre=(h,k)=(0,0)
radius=r=5
now, we can use standard equation of circle
we can plug values
we get
(b)
We can see that
centre=(h,k)=(5,4)
radius=r=3
now, we can use standard equation of circle
we can plug values
we get
(c)
We can see that
centre=(h,k)=(4,3)
radius=r=5
now, we can use standard equation of circle
we can plug values
we get
