answer:
C. 16
explanation:
when x is 0, the y-intercept is 8
coordinates: (0,8) and (4,6)
slope:
![\sf \frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Csf%20%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
![\sf \frac{6-8}{4-0}](https://tex.z-dn.net/?f=%5Csf%20%5Cfrac%7B6-8%7D%7B4-0%7D)
![\sf \frac{-2}{4}](https://tex.z-dn.net/?f=%5Csf%20%5Cfrac%7B-2%7D%7B4%7D)
![\sf -\frac{1}{2}](https://tex.z-dn.net/?f=%5Csf%20-%5Cfrac%7B1%7D%7B2%7D)
equation:
[ where m is slope and b is y-intercept ]
![y = \sf -\frac{1}{2}x +8](https://tex.z-dn.net/?f=y%20%3D%20%5Csf%20-%5Cfrac%7B1%7D%7B2%7Dx%20%2B8)
solve for x-intercept:
note: zeros of a function are the values of x when f(x) is equal to 0
![y = \sf -\frac{1}{2}x +8](https://tex.z-dn.net/?f=y%20%3D%20%5Csf%20-%5Cfrac%7B1%7D%7B2%7Dx%20%2B8)
![0= \sf -\frac{1}{2}x +8](https://tex.z-dn.net/?f=0%3D%20%5Csf%20-%5Cfrac%7B1%7D%7B2%7Dx%20%2B8)
![-8= \sf -\frac{1}{2}x](https://tex.z-dn.net/?f=-8%3D%20%5Csf%20-%5Cfrac%7B1%7D%7B2%7Dx)
![\sf x = -8 * -2](https://tex.z-dn.net/?f=%5Csf%20x%20%3D%20-8%20%2A%20-2)
![\sf x = 16](https://tex.z-dn.net/?f=%5Csf%20x%20%3D%2016)
Answer:
203 feet.
Step-by-step explanation:
Please find the attachment.
Let h represent the height of the building.
We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.
We know that tangent relates opposite side of a right triangle to its adjacent side.
![\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%3D%5Cfrac%7B%5Ctext%7BOpposite%7D%7D%7B%5Ctext%7BAdjacent%7D%7D)
Upon substituting our given values in above formula, we will get:
![\text{tan}(35^{\circ})=\frac{h}{290}](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%2835%5E%7B%5Ccirc%7D%29%3D%5Cfrac%7Bh%7D%7B290%7D)
![290*\text{tan}(35^{\circ})=\frac{h}{290}*290](https://tex.z-dn.net/?f=290%2A%5Ctext%7Btan%7D%2835%5E%7B%5Ccirc%7D%29%3D%5Cfrac%7Bh%7D%7B290%7D%2A290)
![290*0.70020753821=h](https://tex.z-dn.net/?f=290%2A0.70020753821%3Dh)
![h=290*0.70020753821](https://tex.z-dn.net/?f=h%3D290%2A0.70020753821)
![h=203.0601860809](https://tex.z-dn.net/?f=h%3D203.0601860809)
![h\approx 203](https://tex.z-dn.net/?f=h%5Capprox%20203)
Therefore, the building is approximately 203 feet high.
Answer: True
Step-by-step explanation: There are 15 pounds and 3 dollars. 15 over 3 is $1 for 5 pounds.
Answer:
vfhgfhfjhfvhjgv
Step-by-step explanation:
Answer:
therws this random chart from the internet, I think that's what they want, but not sure