If you would like to know how far apart would Dale's house and school be on the map if the scale were 1 inch = 6 miles, you can calculate this using the following steps:
1 inch ... 8 miles
1 1/2 inches = 3/2 inches ... x miles = ?
1 * x = 8 * 3/2
x = 8 * 3/2
x = 12 miles
1 inch ... 6 miles
y inches = ? ... 12 miles
1 * 12 = 6 * y
12 = 6 * y /6
y = 12 / 6
y = 2 inches
The correct result would be C. 2 inches.
ANSWER
![\cos(x) \cot ^{2} (x)](https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20%20%20%5Ccot%20%5E%7B2%7D%20%28x%29%20)
EXPLANATION
The given expression is;
![\cot^{2} (x) \sec(x) - \cos(x)](https://tex.z-dn.net/?f=%20%5Ccot%5E%7B2%7D%20%28x%29%20%20%5Csec%28x%29%20%20-%20%20%5Ccos%28x%29%20)
Change everything to
![\sin(x)](https://tex.z-dn.net/?f=%20%5Csin%28x%29%20)
and
![\cos(x)](https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20)
This implies that,
![\frac{ \cos^{2} (x) }{ \sin^{2} (x) } \times ( \frac{1}{ \cos(x) } )- \cos(x)](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Ccos%5E%7B2%7D%20%28x%29%20%7D%7B%20%5Csin%5E%7B2%7D%20%28x%29%20%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B1%7D%7B%20%5Ccos%28x%29%20%7D%20%29-%20%20%5Ccos%28x%29%20%20)
Cancel the common factors,
![\frac{ \cos(x) }{ \sin^{2} (x) } \times ( \frac{1}{1} )- \cos(x)](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Ccos%28x%29%20%7D%7B%20%5Csin%5E%7B2%7D%20%28x%29%20%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B1%7D%7B1%7D%20%29-%20%20%5Ccos%28x%29%20%20)
![\frac{ \cos(x) }{ \sin^{2} (x) }- \cos(x)](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Ccos%28x%29%20%7D%7B%20%5Csin%5E%7B2%7D%20%28x%29%20%7D-%20%20%5Ccos%28x%29%20%20)
![\frac{ \cos(x) - \sin ^{2} (x) \cos(x) }{ \sin^{2} (x) }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Ccos%28x%29%20%20-%20%20%5Csin%20%5E%7B2%7D%20%28x%29%20%20%5Ccos%28x%29%20%7D%7B%20%5Csin%5E%7B2%7D%20%28x%29%20%7D%20)
![= \frac{ \cos(x)(1 - \sin ^{2} (x) ) }{ \sin^{2} (x) }](https://tex.z-dn.net/?f=%20%20%3D%20%5Cfrac%7B%20%5Ccos%28x%29%281%20%20-%20%20%5Csin%20%5E%7B2%7D%20%28x%29%20%29%20%7D%7B%20%5Csin%5E%7B2%7D%20%28x%29%20%7D%20)
![= \frac{ \cos(x)(\cos^{2} (x) ) }{ \sin^{2} (x) }](https://tex.z-dn.net/?f=%20%20%3D%20%5Cfrac%7B%20%5Ccos%28x%29%28%5Ccos%5E%7B2%7D%20%28x%29%20%29%20%7D%7B%20%5Csin%5E%7B2%7D%20%28x%29%20%7D%20)
![= \cos(x) \cot^{2} (x)](https://tex.z-dn.net/?f=%20%20%3D%20%5Ccos%28x%29%20%20%5Ccot%5E%7B2%7D%20%28x%29%20)
Answer:
4
Step-by-step explanation:
Answer:
a = √3 * r
a = √3 * 10
a = 10√3 cm
Step-by-step explanation: