Answer:
254.34 square feet in the larger green
Step-by-step explanation:
Tomato + carrot + cabbage + ( 3* carrot) =113.04 ft
1x+1x+1x+3 x= 113.04
6x= 113.04
x=113.04/6 = 18.84 feet of fence = circumference
The circumference of the tomato, carrot and cabbage gardens is 18.84 feet each. The circumference of the strawberry garden will be 3 times larger of 3x 18.84 = 56.52 feet.
With the circumference we can find the diameters, and with the diameters we can find the areas.
For the 3 small gardens, d= c/
d= 18.84 / 3.14
d=6 and the radius is 3 feet
Area = ^2
A= 3.14 x 3 x 3= 28.26 square feet in each of the 3 small gardens
For the larger garden
d=6x3=18 feet and the radius is 9 feet
Area = ^2
A= 3.14 x 9 x 9 = 254.34 square feet in the larger garden
Answer:
As per the graph, the function starts at point (0, -2) point it self not included.
The graph is extended down and right, so the given point is maximum of the function.
<u>The domain:</u>
<u>The range:</u>
Answer:
16
Step-by-step explanation:
im pretty sure
Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256