Answer:
D = 23.7 miles
Step-by-step explanation:
Given data:
![\theta=84 degrees](https://tex.z-dn.net/?f=%5Ctheta%3D84%20degrees)
Time![= 20 min = \frac{1}{3} hr](https://tex.z-dn.net/?f=%20%3D%2020%20min%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20hr)
Distance of A ![= (60 mi/hr)\times \frac{1}{3} hr =20 mi](https://tex.z-dn.net/?f=%3D%20%2860%20mi%2Fhr%29%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%20hr%20%3D20%20mi)
Distance of B =![(45 mi/hr)\frac{1}{3} hr = 15 mi](https://tex.z-dn.net/?f=%20%2845%20mi%2Fhr%29%5Cfrac%7B1%7D%7B3%7D%20hr%20%3D%2015%20mi)
Draw a triangle.
By using cosine formula we can determine the distance between them
![D^2 = 20^2 + 15^2 - 2\times 20\times 15\times cos(84)](https://tex.z-dn.net/?f=D%5E2%20%3D%2020%5E2%20%2B%2015%5E2%20-%202%5Ctimes%2020%5Ctimes%2015%5Ctimes%20cos%2884%29)
![D^2 = 625 - 600 cos(84)](https://tex.z-dn.net/?f=D%5E2%20%3D%20625%20-%20600%20cos%2884%29%20)
![D^2 = 625 - 63.2](https://tex.z-dn.net/?f=D%5E2%20%3D%20625%20-%2063.2%20)
![D^2 = 561.8](https://tex.z-dn.net/?f=D%5E2%20%3D%20561.8)
Thus D = 23.7 miles
Multiplying through by 8 we get
2x + 8 = 3x
8 = 3x - 2x
x = 8 (answer)
Answer:
a
Step-by-step explanation:
We first require the fraction of English to Total
Total = 84 + 38 + 18 + 47 + 69 = 256 , then
× 100% ≈ 27% ( nearest whole number )
Answer:
$2.06 tax
Step-by-step explanation:
$24.99 pants
$27.05 total cost with tax
24.99 + tax = 27.05
tax = 27.05 - 24.99
27.05 - 24.99 = 2.06