Answer:
The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.
Step-by-step explanation:
The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.
Answer:
Length = 15 cm, width = 12 cm, Perimeter = 54 cm
Step-by-step explanation:
The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².
Length = 5x
Breadth = 4x
Area of rectagle,
A = bl
180 = 5x × 4x
180 = 20x²
x² = 9
x = 3
Length = 5x = 5(3) = 15 cm
Width = 4x = 4(3) = 12 cm
Perimeter of rectangel,
P = 2(l+b)
= 2(15+12)
= 54 cm
Hence, this is the required solution.
Sin 45° = opposite side / hypotenuse
1/2 = 8/h
h = 16
2)6/12 = 1/2
1/2 = sin 45°
6√3/12 = √3/2
√3/2 = cos 30°
Sum of angles of triangle = 180°
The 3rd angle = 180 - (45 + 30) = 180 - 75 = 105°
Angles = 30° , 45° , 105°
ABC = 180-120=60
ACB = 180-(40+60)=80
Therefore ECD= 80 as ACB and ECD are vertically opposite angles
the solution is A as that is where the graphs intersect each other
X = number of singles matches
y = number of doubles mnathes
so we have the equation x + y = 13.......(1)
also
2x + 4y = 38 ...........(2)
(1) and (2) are the required equations
b) Find how many maches are in progress by solivng the above equations:-
x + y = 13 multiply this by -2:-
-2x - 2y = -26
2x + 4y = 38 Adding to removes the terms in x:-
2y = 12
y = 6
so x = 13-6 = 7
So the answer is 6 double matches and 7 singles are in progress.
