Answer:
Step-by-step explanation:
Exponential function represents as x^2 = x * x or 2^3 = 2*2*2 etc.
As per options,
(A) We are unable to write the number 79 as a exponent.
B) We are unbale to write the number 742 as a exponent as well.
(c) We are unable to write the number 73 as a exponent as well.
(d) We are able to write the number 79.79 as exponent (79)^2. Base is 79 and exponent is 2 and it is single exponential expression as base is only one number.
Sin 3pi/4 is angle 135 degrees or 45 degrees below 180 degrees. Hence it's opposite side is 1 and adjacent is 1, implying the hypothenus is sqrt(2). Hence
Sin 3pi/4 = 1/sqrt(2). Now multiply by sqrt(2)/sqrt(2) to get:
[1/sqrt(2).] * [sqrt(2)/sqrt(2)] = sqrt2)/2
The diagonal fencing will be the hypotenuse of a right triangle with sides 120yds long so:
h=√2(120^2))
h=√28800 yd
And the surrounding fencing will just be four times the side length of 120yds so:
s=480yd
So the total fencing needed is:
f=480+√28800 yards
f≈649.71 yd (to nearest hundredth of a yard) which is
f≈650 yds (to nearest whole yard)
But, I wasn't sure, if they just want the diagonal fencing needed then it is just:
f=√28800
f≈170 yds (to nearest yard)