Answer:
Step-by-step explanation:
Answer: 
Step-by-step explanation:
subtract by terms.
2x^2 - 7x^2 = -5x^2
-5x is the only term so leave it alone
-7-3= -10
-5x^2 -5x -10
Answer:
The triangle is an acute equilateral triangle
Step-by-step explanation:
The triangle is acute because of all three angles measuring under 90 degrees.
It is also equilateral for all of its angles are of equal measurements and all three sides are congruent as well.
Answer:
Radius = 8 units
Length of arc AB = 8.37758 units
Step-by-step explanation:
The sector COD is 1/4 the size of the circle.
the vertex angle is 90° and a circle has 360° at the center.
So the area of sector COD/area of Circle = 90/360 = 1/4
This means the area of the circle is 4 * 50.24 = 200.96 square units
Area of circle = πr² where r is the radius
πr² = 200.96
r² = 200.96/ π = 63.9676 ≅ 64
Therefore r = √64 = 8 units
The circumference of the circle is 2πr = 16π units
arc AB has a vertex angle of 30°.
30°/360° = 1/6
So the length of the arc is 1/6th the circumference of the circle =
(1/6) * 16π = 2.67π units or 8.37758 units
