Answer:
313,600
Step-by-step explanation:
Let t represent number of years after Beth's 9th birthday.
We have been given that since Beth was born the population of her towns has increased at a rate of 850 people per year. So number of people increased in t years would be
.
We are also told that on Beth's 9th birthday the total population was nearly 307,650. This means that t-intercept is 307,650.
The population of town t years after Beth's birthday would be
.
To find population on Beth's 16th birthday, we will substitute
in our equation as Beth's 16th birthday would be 7 years after 9th birthday.
![P(t)=850(7)+307,650](https://tex.z-dn.net/?f=P%28t%29%3D850%287%29%2B307%2C650)
![P(7)=5950+307,650](https://tex.z-dn.net/?f=P%287%29%3D5950%2B307%2C650)
![P(7)=313,600](https://tex.z-dn.net/?f=P%287%29%3D313%2C600)
Therefore, the population on Beth's 16th birthday would be 313,600.
Answer:
H = 13.67
Step-by-step explanation:
Given:
The the algebraic expression is
![H + \frac{340}{30} = 25](https://tex.z-dn.net/?f=H%20%2B%20%5Cfrac%7B340%7D%7B30%7D%20%3D%2025)
We need to write the above equation for h.
Solution:
![H + \frac{340}{30} = 25](https://tex.z-dn.net/?f=H%20%2B%20%5Cfrac%7B340%7D%7B30%7D%20%3D%2025)
First we divide the fraction part of the equation by common factor 10.
![H + \frac{34}{3} = 25](https://tex.z-dn.net/?f=H%20%2B%20%5Cfrac%7B34%7D%7B3%7D%20%3D%2025)
Subtract both side of the equation by
.
![H + \frac{34}{3}-\frac{34}{3} = 25- \frac{34}{3}](https://tex.z-dn.net/?f=H%20%2B%20%5Cfrac%7B34%7D%7B3%7D-%5Cfrac%7B34%7D%7B3%7D%20%3D%2025-%20%5Cfrac%7B34%7D%7B3%7D)
![H = 25- \frac{34}{3}](https://tex.z-dn.net/?f=H%20%3D%2025-%20%5Cfrac%7B34%7D%7B3%7D)
To write 25 as a fraction with a common denominator, multiply by
.
![H = 25\times \frac{3}{3}- \frac{34}{3}](https://tex.z-dn.net/?f=H%20%3D%2025%5Ctimes%20%5Cfrac%7B3%7D%7B3%7D-%20%5Cfrac%7B34%7D%7B3%7D)
![H = \frac{25\times3}{3}- \frac{34}{3}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7B25%5Ctimes3%7D%7B3%7D-%20%5Cfrac%7B34%7D%7B3%7D)
![H = \frac{75}{3}- \frac{34}{3}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7B75%7D%7B3%7D-%20%5Cfrac%7B34%7D%7B3%7D)
![H = \frac{75-34}{3}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7B75-34%7D%7B3%7D)
![H = \frac{41}{3}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7B41%7D%7B3%7D)
![H = 13.67](https://tex.z-dn.net/?f=H%20%3D%2013.67)
Therefore the value of H is 13.67.
The side length has to be between 2 (=9-7) and 16 (=9+7). In both these corner cases the triangle will have collapsed to a line.
So the correct answers are B,C,D and E, and F is a corner case. Theoretically I suppose you have to count F in as a valid answer.
Answer:
69 INCHES
Step-by-step explanation:
Given that :
Height of father's eye above the flat ground :
Kindly check attached picture for diagram:
To obtain the value of h ; we can use Pythagoras rule ;
Tan θ = opposite / Adjacent
Tan 48 = h / 15
15 tan 48 = h
37.126302 = h
h = 37.
Hence, height of father's above the flat ground :
h + 32 = 37 + 32= 69 inches