Answer:
Space between 80 evenly spaced chairs = 21m
Step-by-step explanation:
So, according to the given statement, we have the following expression:
No. of chairs ∝ 
70 chairs are 24m apart, so it can be written as:
70 ∝ 
For, 1 chair , we divide both sides by 70
∝ 
1 ∝ 
-----------------------(Equation 1)
<u>For 80 chairs:</u>
Multiply both sides of <em>Equation.1</em> by 80
80 ∝ 
80 ∝ 
So according to the above relation,
<em>80 evenly spaced chairs will have a space of </em><em>21 m</em><em> between them.</em>
Answer:
The system is consistent; it has one solution ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution
In the given system of equations
∵ -2y + 2x = 3 ⇒ (1)
∵ -5y + 5x = 12 ⇒ (2)
→ By comparing equations (1) and (2)
∵ -2 ≠ -5
∵ 2 ≠ 5
∵ 3 ≠ 12
→ By using the 3rd rule above
∴ The system is consistent independent and has exactly one solution
∴ The system is consistent; it has one solution
Answer:
0, 1.32
Step-by-step explanation:
16cos(t)*sin(t)=4sin(t)
cos(t)=1/4 or sin(t)=0
t=1.32 or 0
Answer:
Move 6.2 units up
Step-by-step explanation:
(-5.4, 6.2)
The first coordinate is the x coordinate
Positive x moves to the right, negative x moves to the left
Move 5.4 units to the left
The second coordinate is the y coordinate
Positive y moves to up, negative y moves down
Move 6.2 units up
