Answer:
Time required to make a pile of 45 sticks next to their fire = 10 minutes
Step-by-step explanation:
This is an example of arithmetic progression.
First term = 5 - 3 + 7 = 9 sticks
Common difference = 7 - 3 = 4 sticks.
So the number of sticks next to their fire is increasing like this
9, 13, 17, 21 .............
term of AP = a + (n-1) d, we need to find n
a + (n-1) d = 45
9 + (n-1) x 4 = 45
(n-1) x 4 = 36
n - 1 = 9
n = 10
Time required to make a pile of 45 sticks next to their fire = 10 minutes
Answer:
Area of the garden = 16
ft²
Step-by-step explanation:
Given:
Base of garden = 8 Ft
Find:
Area of the garden = ?
First, we have to find height of the triangle.
Computation of area of the garden:
Area of the garden = 1/2 × b × h
Area of the garden = 1/2 × 8 × 4
Area of the garden = 16 ft²
Answer:
-789.6
Step-by-step explanation:
I don't know if this is right
Answer:
(0.88, 0.65)
Step-by-step explanation:
Given that the two equations of the line are:
y =( -2/5)x + 1 and y = 3x – 2. To find the solution, we have to solve the equations simultaneously.
y =( -2/5)x + 1 . . . 1)
y = 3x – 2 . . . 2)
Subtracting equation 1 from equation 2:
3.4x -3 = 0
3.4x = 3
Dividing through by 3.4
3.4x/3.4 = 3/3.4
x = 0.88
To find y, substitute x = 0.88 in equation 2:
y = 3(0.88) - 2
y = 2.65 - 2
y = 0.65
This means that the solution to the system of equations is the point of intersection of the two lines which is at (0.88, 0.65)
