Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:
![\sin(60) = \frac{28}{h}](https://tex.z-dn.net/?f=%20%5Csin%2860%29%20%3D%20%20%5Cfrac%7B28%7D%7Bh%7D%20)
![0.866 = \frac{28}{h}](https://tex.z-dn.net/?f=0.866%20%3D%20%20%5Cfrac%7B28%7D%7Bh%7D%20)
![h = \frac{28}{0.866}](https://tex.z-dn.net/?f=h%20%3D%20%20%5Cfrac%7B28%7D%7B0.866%7D%20)
![h = 32.33](https://tex.z-dn.net/?f=h%20%3D%2032.33)
The length of the cable is approximately 32 feet
Answer:
Option (1)
Step-by-step explanation:
We need a recursive formula.
The common ratio is 2.
- Eliminate options 2 and 4.
So, the answer is option 1.
Answer:
A) The amount of money deposited monthly
Step-by-step explanation:
y = 35x (slope) (amount deposited each month)+ 250 (y-intercept) (starting amount)
Answer:
D. She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.
Step-by-step explanation:
Find the rate of change between first two ordered pairs and the second two ordered pairs:
1. Points (2,4) and (3,9). Rate of change:
![\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{9-4}{3-2}=\dfrac{5}{1}=5](https://tex.z-dn.net/?f=%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B9-4%7D%7B3-2%7D%3D%5Cdfrac%7B5%7D%7B1%7D%3D5)
2. Points (3,9) and (4,16). Rate of change:
![\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{16-9}{4-3}=\dfrac{7}{1}=7](https://tex.z-dn.net/?f=%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B16-9%7D%7B4-3%7D%3D%5Cdfrac%7B7%7D%7B1%7D%3D7)
The rate of change for the linear function must the same for each two points on the graph of the function. In this case, the reate of change differs, so this function is not linear and correct option is D.
A. is the correct one I did it on my test and got it right