Answer:
92 ft
Step-by-step explanation:
Assume the garden has the shape shown below.
The length of fencing equals the distance around three sides of the rectangle plus that around the semicircle.
1. Around the rectangle
Distance = 28 ft + 14 ft + 28 ft = 70 ft
2. Around the semicircle
For a circle.
C = 2πr
For the semicircle,
½C =½(2πr) = πr
D = 14 ft, so
r = 7 ft
3. Total distance
Distance = 70 ft + 22 ft = 92 ft
Jordan will need 92 ft of fencing.
Answer: 8:12 and 36:54
Step-by-step explanation:
Answer:
8.212°
Step-by-step explanation:
Hypotenuse^2=base^2+perp^2
(8)^2=(7)^2+(perp)^2
64=49+(perp)^2
64/49=perp^2
1.306=perp^2
Now taking sq root on both sides
Perp=√1.306
Perp=1.142
Sin C=opposite/hypotenuse
Sin C=1.142/8
Sin C=0.14285
C=Sin^-1 0.14285
C=8.212°
Answer:
0.0045045045
Step-by-step explanation:
Have a good day I hope this helps! :)
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
