Response:
17 million
Step-by-step explanation:
5+(2m)+m+2+m=54
9+3m=54
3m=45
m=15
Farid=15+2=17
The area would amount to 25
and we could create 3 squares. This would leave 75
5 inches remaining.
Answer:
C. The hypotenuse measures twice the distance of the shorter leg.
B. The longer leg is √3 times the length of the shorter leg.
Step-by-step explanation:
A 30-60-90 triangle is considered a right triangle. Triangles containing a right angle are classified as right triangles. Only one right angle can exist in such a triangle. The representation of this case is illustrated below. Let’s clarify why the proposed statements are valid:
The hypotenuse of a right triangle is always opposite to the right angle. If we designate
as the shorter leg, the sine law affirms that the hypotenuse is:

This indicates that the hypotenuse is double the length of the shorter leg
The longer leg, which we can call
, can be determined with the Pythagorean Theorem:

Thus, it is accurate that the longer leg is √3 times longer than the shorter leg.
The question requires completion since the inventory data is absent.
Option C: The paths of the skaters intersect at two points, but only one of them falls within the rink's boundaries. Step-by-step explanation: The center of the ice rink is established at coordinates (0,0) with a radius of 35 meters. The standard equation for a circle, given the coordinates (a,b) and radius r, is (x - a)² + (y - b)² = r². Therefore, the skating area can be defined as x² + y² = 35². Susan's skating path follows the equation y = 6x - x² - 5, meanwhile, Luke maneuvers from point (10, –21) along a parabolic path centered at (8, –9). This leads us to solve for the intersection points of their paths, confirming that while they intersect twice, only one point exists within the rink's confines.