Answer:
A,C,F,G,H
Step-by-step explanation:
According to the given statement the radius of the circle before dilation is 1/2ft and the scale factor is 8. The dilation by scale factor 8 means the radius of new circle is 8 times of the original circle(4ft)
The circumference of the circle is 2πr.
If we replace r by 8r and substitute it in the formula then the circumference will be:
C=2π(8r)
C=8*(2πr)
It means the circumference is 8 times the original circumference.
Now put the value of original circle radius in this new circumference we get:
C=8*(2πr)
C=8*(2π*1/2)
C=8πft
Now the area of the circle = πr^2
Now put the value of r replaced by 8r in the formula.
A=π(8r)^2
A=64πr^2
Thus the area will be 64 times by the original circle area
If we plug the value of original circle radius in this new formula of area we get.
A=64πr^2
A=64π(1/2)^2
A= 16πft^2
Thus the correct statements are: A, C, F,G,H....
Answer:
t ≤ 3 ; kindly check explanation for more explanation
Step-by-step explanation:
Given that :
Number of tulip (t) =?
Cost of bulb = $1.50
Pot for each bulb purchased at =$1.25
Bag of potting soil = $10.00
Number of tulip bulb that can be purchased without spending more than $20
Cost of tulip bulb = [(cost per bulb + cost per pot) * number purchased (t) + cost of bag of potting soil]
Cost = [(1.50 + 1.25)t + 10]
If spending should not exceed $20
2.75t + 10 ≤ 20
2.75t ≤ 20 - 10
2.75t ≤ 10
t ≤ 10/2.75
t ≤ 3.64
He cannot purchase more than 3 tulip bulbs
Anika cannot buy exactly enough tulip bulbs an pot to spend the full $20 because the number obtained is a fraction and not a whole number.
Correct me if I'm wrong but I think since her car goes 35 miles per gallon & has 100 gallons then she would be able to travel for 3500 miles.So,she would be able to drive to her cousins house.
Answer:
An ellipse
Step-by-step explanation:
Take a cone and make a diagonal cut through it, removing a very thin slice. The result is an ellipse.
a /\
/ \
/ \ b
/ \
Make a straight line from a to b, it will make an elliptical shape. If we cut perfectly horizontally, we would get a circle, when we angle the cut of our cross section, the shape gets more and more elliptical depending on the angle of the cut
Any two numbers who some is zero for example 3 and -3 because 3+(-3)=0