1.When all the three cut outs of the angles A, B, C placed adjacent to each other at a point, then it forms a line forming a straight angle, i.e. 180°.
Flence, it is proved that the sum of the three angles of a triangle is 180°.
Therefore, ∠A + ∠B + ∠C =180
Answer:
A. 9π/2km
Step-by-step explanation:
the length of the arc is
s= angle in radians* radius
the angle in radians
135 = 3π/4
therefore length of arc
s= (3π/4)*6 = 9π/2km
Answer:
Yes, he will have enough time to watch the entire film.
Step-by-step explanation:
5:30 to 6:30 is 1 hour of the movie completed.
6:30 to 7:30 is 2 hours completed.
7:30 plus 30 minutes brings him to 8:00.
8:00 plus the additional 5 minutes brings Greg to 8:05.
His movie ends at 8:05, so he will be able to watch the entire movie before going out.
If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width
Solution:
Let the length of rectangle=x
Width of rectangle=x/10
Perimeter is 2(Length+Width)
= 2(x+x/10)
Area of Rectangle= Length* Width=x*x/10
As, Perimeter=2(Area)
So,2(x+x/10)=2(x*x/10)
Multiplying the equation with 10, we get,
2(10x+x)=2x²
Adding Like terms, 10x+x=11x
2(11x)=2x^2
22x=2x²
2x²-22x=0
2x(x-11)=0
By Zero Product property, either x=0
or, x-11=0
or, x=11
So, Width=x/10=11/10=1.1
Checking:
So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2
Area=Length*Width=11*1.1=12.1
Hence, Perimeter= 2 Area
As,24.2=2*12.1=24.2
So, Perimeter=2 Area
So, Answer:Length of Rectangle=11 units
Width of Rectangle=1.1 units
