Answer:
This is just asking for any decimal right? f it is then you can use this
0.25
Answer:
Step-by-step explanation:
Answer:
The length is 39.6 feet.
Step-by-step explanation:
Since the area is lw, we make this an equation. The width is already known, it's 26.2. So make a single variable equation: 26.2w=1037.52
dividing both sides by 26.2 gives you the answer of 39.6.
Hope this helps!
Answer:
y=-2x
Step-by-step explanation:
The function has the table:
x f(x)
-3 -6
-2 -4
-1 -2
0 0
Looking at the table, f(x) deceases by 2 each time. This is a constant rate of change called slope. This is a linear function and its equation can be written using y = mx+b. m = -2. b is the y-intercept for starting point where x = 0. When x=0, the table shows y=0. So b=0.
This means the rule is y = -2x.
Let's call the height of the tower
and the distance from the 65 degree angle to the base of the tower
.
We get two equations:
![\tan 65^\circ = \dfrac h d](https://tex.z-dn.net/?f=%5Ctan%2065%5E%5Ccirc%20%3D%20%5Cdfrac%20h%20d)
![\tan 39^\circ = \dfrac{h}{d+37}](https://tex.z-dn.net/?f=%5Ctan%2039%5E%5Ccirc%20%3D%20%5Cdfrac%7Bh%7D%7Bd%2B37%7D)
![h = d \tan 65^\circ = (d+37) \tan 39^\circ](https://tex.z-dn.net/?f=%20h%20%3D%20d%20%5Ctan%2065%5E%5Ccirc%20%3D%20%28d%2B37%29%20%5Ctan%2039%5E%5Ccirc)
![d(\tan 65 - \tan 39) = 37 \tan 39](https://tex.z-dn.net/?f=d%28%5Ctan%2065%20-%20%5Ctan%2039%29%20%3D%2037%20%5Ctan%2039)
![d = \dfrac{37 \tan 39}{\tan 65 - \tan 39}](https://tex.z-dn.net/?f=d%20%3D%20%5Cdfrac%7B37%20%5Ctan%2039%7D%7B%5Ctan%2065%20-%20%5Ctan%2039%7D)
![h = d \tan 65 = \dfrac{37 \tan 39 \tan 65}{\tan 65 - \tan 39}](https://tex.z-dn.net/?f=%20h%20%3D%20d%20%5Ctan%2065%20%3D%20%5Cdfrac%7B37%20%5Ctan%2039%20%5Ctan%2065%7D%7B%5Ctan%2065%20-%20%5Ctan%2039%7D%20)
![h \approx 48.1 \textrm{ feet}](https://tex.z-dn.net/?f=%20h%20%5Capprox%2048.1%20%5Ctextrm%7B%20feet%7D)
Answer: 48