Answer: The larger rug is 4 times larger
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
The small circular rug covers an area of approximately 67 square feet. This means that
67 = πr²
r² = 67/π = 67/3.14 = 21.34
r = √21.34 = 4.62
If a large size rug has twice the dimensions of a small rug, it means that the radius of the larger rug would be
2 × 4.62 = 9.24
The area of the larger rug would be
3.14 × 9.24² = 268.06ft²
Therefore
268.06/67 = 4
The larger rug is 4 times larger
it’s the 2 dark purple triangles
9514 1404 393
Answer:
f(x) = 4·3^x
Step-by-step explanation:
We assume the function will be of the form ...
f(x) = a·b^x
Substituting the given values, we can find 'a' and 'b'.
4/9 = a·b^(-2)
108 = a·b^3
Dividing the second equation by the first gives ...
108/(4/9) = b^(3 -(-2))
243 = b^5
b = 3 . . . . . . 5th root
Using the second equation, we can find 'a':
108 = a·3^3 = 27a
a = 108/27 = 4
The formula for the exponential function is ...
f(x) = 4·3^x
It’s A. An quadrilateral has four sides and four angles.
You can solve this problem by following the steps below:
1. You need the formula for calculate the area of a circle, which is:
A=πr²
"A" is the area of the circle
"r" is the radius of the circle (r=35 centimeters).
2. Now, you must take the derivative. Then, the rate of change of the area is:
dA/dt=(2πr)(dr/dt)
3. The radius of change of the radius "r" with respect to time, is:
dr/dt=6 cm/min
4. Then, you have:
dA/dt=(2πr)(dr/dt)
dA/dt=2π(35 cm)(6 cm/min)
dA/dt=420π cm²/min
