Answer:



Step-by-step explanation:
3) Area of a circle is

Where r = 6
Thus,




4) False
Area of a circle is measured by the formula below:

5) The formula for calculating the area of a rectangle is given thus:

Where, l = 10ft; w = 7ft

The total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
<h3>How to determine how much will the carpenter spend if the rope costs $3.82 per foot?</h3>
The length of rope is given as:
Length = 9.3 feet
The price per rope is given as:
Price per rope = $3.82 per foot
The total amount spent by the carpenter is calculated as:
Total amount = Length * Price per rope
Substitute the known values in the above equation
Total amount = 9.3 feet * $3.82 per foot
Evaluate the product
Total amount = $35.526
Hence, the total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
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Answer: The correct option is (A). 3.
Step-by-step explanation: We are given to find the scale factor of dilation from ΔABC to ΔDEF.
As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are
AB = 5 units, BC = 4 units, CA = 3 units,
DE = 15 units, EF = 12 units, FD = 9 units.
We know that the scale factor is given by

Therefore, the scale factor of dilation from from ΔABC to ΔDEF is

Thus, the required scale factor is 3.
Option (A) is correct.
Answer:
A possible solution is that radius of cone B is 2 units and height is 36 units
Step-by-step explanation:
Step-by-step explanation:
The volume of a cone is given by
where
r is the radius
h is the height
Here we are told that both cones A and B have the same volume, which is:
And
(2)
We also know that cone A has radius 6 units:
and height 4 units:
For cone B, from eq.(2), we get
One possible solution for this equation is
In fact in this case, we get:
Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.
Answer:
I think its to invest.
Step-by-step explanation:
Knowledge, and past experience.