Answer:
The area of the region inside the circumcircle of the triangle but outside the triangle is
![A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B27%7D%7B4%7D%5B%5Cpi-3%5Csqrt%7B3%7D%5D%5C%20units%5E2)
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the area of triangle
we have an equilateral triangle
Applying the law of sines

where b is the length side of the equilateral triangle
we have




step 2
Find the area of circle
The area of the circle is equal to

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

where b is the length side of the equilateral triangle
we have

substitute


Find the area


step 3
Find the area of the shaded region
we know that
The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle
so

Simplify
![A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B27%7D%7B4%7D%5B%5Cpi-3%5Csqrt%7B3%7D%5D%5C%20units%5E2)
Answer:
3
Step-by-step explanation:
Step 1: replace y for 5, and x for 18
x-3y
18-3(5)
Step 2: simplify.
18-15
3
Answer:
Figure ABC is congruent to figure A’B’C’.
Step-by-step explanation:
Any figure transformed by a rigid transformation is congruent
Answer:
- 3 hours
- 1 hour 45 minutes
- 300 miles
Step-by-step explanation:
1. The trains are moving toward each other at a total speed of 50 +20 = 70 miles per hour. Together, they cover the 210 mile distance in ...
time = distance/speed
time = 210 mi/(70 mi/h) = 3 h
The trains collide after 3 hours.
__
2. The fly is closing with the freight train at a speed of 100 +20 = 120 miles per hour. Together, the fly and the train cover the initial 210 mile distance in ...
(210 mi)/(120 mi/h) = 7/4 h = 1 hour 45 minutes
The fly first meets the oncoming freight train after 1 h 45 min.
__
3. The fly is flying for all three hours before the trains collide, so, at 100 miles per hour, will fly 300 miles.
The answer is 825
hope i could help you