You have a 300 feet side length square and you need to calculate the length of the diagonal. When you split the square along one diagonal you get triangles, so you can apply Pythagoras' Theorem, with the hypotenuse as the needed diagonal.
a²+b²=c²
300²+300²=c²
2*300²=c²
√(2*300²)=c
√(2) * √(300²)=c
√(2) * 300=c
c~424.26 ft which is the solution/option c
Sin x = 0.5
sin x = 1/2
sin x = opp/hyp
therefore the ratio of opp/hyp = 1/2, (opp = 1, hyp = 2)
Find the opp side
1² + x² = 2²
1 + x² = 4
x² = 4 -1
x² = 3
x =√3
The opp side is √3
cos x = opp/hyp = √3/2 = 0.87 (round to the nearest hundredths)
Y=mx+b
First use the two point slope formula to find m
(y2-y1)/(x2-x1)
(2-0)/(-9-9)
2/-18
1/-9=m
Next use the point slope formula to find the answer
y-y1=m(x-x1)
y-0=1/-9(x-9)
Now use Distributive Property
y-0=1/-9(x)+1/-9(-9)
y-0=1/-9x+1
Your answer would be
y=-1/9x+1
Just matter of combining like terms
6x - 7 - 11x + x =
(6x + x - 11x) - 7 =
(7x - 11x) - 7 =
- 4x - 7 <===
X^2=area of a square
x squared equals the area of a square
