Answer:
Perimeter of sector is 47.93 cm which is greater than 47.5 cm
Step-by-step explanation:
Mathematically, the perimeter of a sector is length of the arc plus 2 radii
The length of the arc is;
theta/360 * 2 * pi * r
where theta is the angle subtended by the arc at the center of the circle
Thus, we have
135/360 * 2 * 22/7 * 11 = 25.93
Add 2 radii = 25.93 + 2(11) = 47.93 cm
This is greater than what we are asked to calculate and thus we have shown what we are asked to show
<span>Yes, Solomon has enough money to purchase the tickets for himself and his 5 friends. Purchasing 6 tickets at the cost of $19 will cost Solomon $114. As a result, Solomon has enough to money to pay for the tickets.</span>
Answer:
Option (B)
Step-by-step explanation:
There are two lines on the graph representing the system of equations.
First line passes through two points (-3, 1) and (-2, 3).
Slope of the line = 
= 
m = 2
Equation of the line passing through (x', y') and slope = m is,
y - y' = m(x - x')
Equation of the line passing through (-3, 1) and slope = 2 will be,
y - 1 = 2(x + 3)
y = 2x + 7 ----------(1)
Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.
Let the equation of this line is,
y = mx + b
Slope 'm' = 
= 
= -3
Here 'b' = 1
Therefore, equation of the line will be,
y = -3x + 1 ---------(2)
From equation (1) and (2),
2x + 7 = -3x + 1
5x = -6
x = 
x = 
From equation (1),
y = 2x + 7
y = 
= 
= 
= 
Therefore, exact solution of the system of equations is
.
Option (B) will be the answer.
Answer:
csc
Step-by-step explanation:
Answer:
6
Step-by-step explanation: