Answer:
105
Step-by-step explanation:
theres 3 feet in a yard
Answer:
74.5°
Step-by-step explanation:
Hannah, the kite and Patricia form the vertices of a right-angled triangle with the hypotenuse side the length of the string L = 60 feet and adjacent side the distance between Hannah and Patricia = d = 16 feet.
Let the angle between the string and the sand be Ф.
By trigonometric ratios,
cosФ = adjacent/hypotenuse
= d/L
= 16 feet/60 feet
= 0.2667
Ф = cos⁻¹(0.2667)
= 74.53°
≅ 74.5°
So, he angle between the string and the sand is Ф = 74.5°
- x intercept=a=3
- y intercept=b=-2
We need the normal form first
![\\ \rm\bull\rightarrowtail \dfrac{x}{a}+\dfrac{y}{b}=1](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5Cbull%5Crightarrowtail%20%5Cdfrac%7Bx%7D%7Ba%7D%2B%5Cdfrac%7By%7D%7Bb%7D%3D1)
![\\ \rm\bull\rightarrowtail \dfrac{x}{3}-\dfrac{y}{2}=1](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5Cbull%5Crightarrowtail%20%5Cdfrac%7Bx%7D%7B3%7D-%5Cdfrac%7By%7D%7B2%7D%3D1)
Multiply by 6to bring standard form
![\\ \rm\bull\rightarrowtail 2x-3y=1](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5Cbull%5Crightarrowtail%202x-3y%3D1)
35 because you add 3 and 6 and that gives you 35x