ANSWER
The exact value is 24√3
The approximate value is 41.6 to the nearest tenth.
x=52.1 units.
EXPLANATION
Let the blue dotted line be h units.
This line is opposite to the 60° angle.
The side length of the triangle which is 24 units is adjacent to the 60° angle.
So we use the tangent ratio,
![\tan(60 \degree) = \frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%20%5Ctan%2860%20%5Cdegree%29%20%20%3D%20%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20)
![\tan(60 \degree) = \frac{h}{24}](https://tex.z-dn.net/?f=%20%5Ctan%2860%20%5Cdegree%29%20%20%3D%20%20%5Cfrac%7Bh%7D%7B24%7D%20)
![\sqrt{3} = \frac{h}{24}](https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%3D%20%20%5Cfrac%7Bh%7D%7B24%7D%20)
![h = 24 \sqrt{3}](https://tex.z-dn.net/?f=h%20%3D%2024%20%5Csqrt%7B3%7D%20)
This is the exact value.
![h = 41.6](https://tex.z-dn.net/?f=h%20%3D%2041.6)
This is that approximate value to the nearest tenth.
To find the side length , x, we need to use the second triangle.
![\sin(53\degree) = \frac{h}{x}](https://tex.z-dn.net/?f=%20%5Csin%2853%5Cdegree%29%20%20%3D%20%20%5Cfrac%7Bh%7D%7Bx%7D%20)
![\sin(53\degree) = \frac{41.6}{x}](https://tex.z-dn.net/?f=%20%5Csin%2853%5Cdegree%29%20%20%3D%20%20%5Cfrac%7B41.6%7D%7Bx%7D%20)
![x = \frac{41.6}{\sin(53\degree)}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B41.6%7D%7B%5Csin%2853%5Cdegree%29%7D%20%20)
![x = 52.1](https://tex.z-dn.net/?f=x%20%3D%2052.1)
9514 1404 393
Answer:
3.08 hours
Step-by-step explanation:
We assume you're interested in the time in hours.
![175\text{ mi}\times\dfrac{12\text{ s}}{1000\text{ ft}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{175\times12\times5280}{1000\times3600}\text{ h}=\boxed{3.08\text{ h}}](https://tex.z-dn.net/?f=175%5Ctext%7B%20mi%7D%5Ctimes%5Cdfrac%7B12%5Ctext%7B%20s%7D%7D%7B1000%5Ctext%7B%20ft%7D%7D%5Ctimes%5Cdfrac%7B5280%5Ctext%7B%20ft%7D%7D%7B1%5Ctext%7B%20mi%7D%7D%5Ctimes%5Cdfrac%7B1%5Ctext%7B%20h%7D%7D%7B3600%5Ctext%7B%20s%7D%7D%3D%5Cdfrac%7B175%5Ctimes12%5Ctimes5280%7D%7B1000%5Ctimes3600%7D%5Ctext%7B%20h%7D%3D%5Cboxed%7B3.08%5Ctext%7B%20h%7D%7D)
It will take 3.08 hours to travel 175 miles at that speed.
Answer:
About 19 apples (I think)
If you would like to know for how many days will 1/2 of a bag of dog food last, you can calculate this using the following steps:
1 day ... 3 bags of dog food
x days = ? ... 1/2 of a bag of dog food
1 * 1/2 = 3 * x
1/2 = 3 * x /3
x = 1/2 * 1/3
x = 1/6 of a day
The correct result would be 1/6 of a day.
Answer:
I think it's A) 4
Step-by-step explanation:
I'm pretty sure it has 4 terms in standard form