Joann wants to hang a wallpaper border around the top of her living room walls. The room is 13 ft. by 15 ft. How much border mus
1 answer:
You might be interested in
<u>Corrected Question</u>
Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym 2/3 the distance from Ping's home to Ari's home. Where is the gym?
- 9th Street and 10th Avenue
- 12th Street and 12th Avenue
- 14th Street and 12th Avenue
- 15th Street and 14th Avenue
Answer:
(D)15th Street and 14th Avenue
Step-by-step explanation:
Ping's Location: (3rd Street, 6th Avenue)
Ari's Location: (21st Street, 18th Avenue)
The gym is at point P which is the distance from Ping's home to Ari's home.
That is, Point P divides the line segment in the ratio 2:1.
We use the section formula:
m:n=2:1,
The gym is located at 15th Street and 14th Avenue.
Step-by-step explanation:
Draw the triangle formed by the ray.
The hypotenuse of the triangle is:
c² = a² + b²
c² = (-5)² + (2√7)²
c² = 25 + 28
c = √53
Therefore:
cos β = -5 / √53
Or, as a proper fraction:
cos β = -5√53 / 53
