Answer:
the answer is b
Step-by-step explanation:
![2x - y = \\ 2 \times 5 - ( - 2) = 10 + 2 = 12](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%20%5C%5C%202%20%5Ctimes%205%20-%20%28%20-%202%29%20%3D%2010%20%20%2B%202%20%3D%2012)
The answer is going 5 - 2x = 3
7. tan º = o/a
tan 24 = 24/x
24*tan 24 = x
x= 53.904
8. tan º =o/a
tan 24= 24/x
24/tan 24 = x
x= 53.904
9. cos º = a/h
cos 34 = x/46
46*cos 34 = x
x=38.135
Answer:
She is about 14.765 miles (
miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
- The side opposite to the right angle is called hypotenuse and it is the longest side
- The other two sides called legs of the right angle
- The relation between them is: (hypotenuse)² = (leg1)² + (leg2)²
∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
- hypotenuse is the distance between her start and end points
- leg1 is her distance in south direction
- leg2 is her distance in east direction
∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse = ![\sqrt{218}](https://tex.z-dn.net/?f=%5Csqrt%7B218%7D)
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles (
miles) from where she started.