Answer:
1615.55 ft
Step-by-step explanation:
The coordinates for house (300,300)
Library coordinate =(1800, 900)
Distance between two points :
D = sqrt[(x2 - x1)² + (y2 - y1)²
D = sqrt[(1800 - 300)² + (900 - 300)²
D = sqrt[(2250000 + 360000)]
D = sqrt[(2610000)]
D = 1615.5494
D = 1615.55 ft
Answer:
y= 1/3 x +5
Step-by-step explanation:
To find the slope, we take two points
(0,5) and (15,10)
The slope is found by the formula
m = (y2-y1)/ (x2-x1)
= (10-5)/(15-0)
= 5/15
= 1/3
The slope is 1/3
The y intercept is found when x=0
When x=0 y=5
The slope intercept form of the line is
y=mx+b where m is the slope and b is the y intercept
y= 1/3 x +5
Answer:
The answer is 55.54778 ft^2
Step-by-step explanation:
below in the picture.
We know that :
![\bigstar \ \ \boxed{\sf{sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}](https://tex.z-dn.net/?f=%5Cbigstar%20%5C%20%5C%20%5Cboxed%7B%5Csf%7Bsin%5Ctheta%20%3D%20%5Cdfrac%7BOpposite%20%5C%20Side%7D%7BHypotenuse%7D%7D%7D)
From the figure, We can notice that :
↔ Opposite side of Angle Q is 9 units
↔ Hypotenuse is 15 units
![\sf{\implies sinQ = \dfrac{9}{15}}](https://tex.z-dn.net/?f=%5Csf%7B%5Cimplies%20sinQ%20%3D%20%5Cdfrac%7B9%7D%7B15%7D%7D)
![\sf{\implies sinQ = \dfrac{3}{5}}](https://tex.z-dn.net/?f=%5Csf%7B%5Cimplies%20sinQ%20%3D%20%5Cdfrac%7B3%7D%7B5%7D%7D)
The surface area of a rectangular prism is given by
... S = 2(LW +H(L+W))
For your dimensions, the surface area is
... S = 2(3·1 + 2(3+1)) = 2(3 + 8) = 22 . . . ft²