We have to find the" ratio of the area of sector ABC to the area of sector DBE".
Now,
the general formula for the area of sector is
Area of sector= 1/2 r²θ
where r is the radius and θ is the central angle in radian.
180°= π rad
1° = π/180 rad
For sector ABC, area= 1/2 (2r)²(β°)
= 1/2 *4r²*(π/180 β)
= 2r²(π/180 β)
For sector DBE, area= 1/2 (r)²(3β°)
= 1/2 *r²*3(π/180 β)
= 3/2 r²(π/180 β)
Now ratio,
Area of sector ABC/Area of sector DBE =
= 4/3
Answer: C)27:1
Step-by-step explanation:
Given, Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm.
Volume of cylinder =
, where r= radius and h = height.
Also, If two figures are similar then ratio of volume is equal to the cube of any dimension .
The ratio of the volume of Pipe A to the volume of Pipe B is given by :-

Thus, the ratio of the volume of Pipe A to the volume of Pipe B = 27:1
So, the correct option is C)27:1.
Answer:
The exponential equation is <em>A = 600(1.04)^15</em>
<em></em>
The value of the mutual fund after 15 years is <em>$1,081</em>
Step-by-step explanation:
The value of the mutual fund after the number of years can be represented using the compound interest equation below;
A = P(1 + r/n)^nt
Where A is the value of the mutual fund after 15 years, P is the initial amount invested which is $600, r is the interest rate which is 4% or 0.04(4% = 4/100 = 0.04), n is the number of times we are compounding per year(which is 1 since it is a one time payment per year) and t is the number of years which is 15
Let's plug these values, we have;
A = 600(1 + 0.04/1)^15
A = 600(1.04)^15
A = $1,081 approximately
Answer:
20.
Step-by-step explanation:
This can be solved using combination technique. Since we have to choose 3 out of 6 and their order is not considered. Thus,
6 combination 3
= 6C3
= 
= 
= 
= 
= 5*4
= 20 ANSWER
Answer:
A) (4,1) C) (12,3) D) (20,5)
Step-by-step explanation:
Required
Which has a constant of proportionality of 1/4
To solve this, we make use of:

Where k is the constant of proportionality.
Solve for x

<u>Testing the given options</u>
A) (4,1)


B) (8,12)



C) (12,3)



D) (20,5)



E) (12,6)


