Answer:
C. 3.4 feet
Step-by-step explanation:
Let, the amount of increase be 'x' feet.
As, the length and width of the garden are 20 ft and 12 ft respectively.
It is given that the area of the new garden is 360 ft²
Since, the length and width are increased by 'x'.
The new length and width are (x+20) ft and (x+12) ft respectively.
So, we get,
New area, = length × breadth = (x+20) × (x+12)
i.e. 360 =
i.e.
i.e. (x+35.4)(x-3.4)=0
i.e. x = -35.4 and x= 3.4
Since, the value of x cannot be negative.
Thus, x = 3.4 feet.
Answer:
8 hours
Steps:
Train 1:
Hours: 1, 2, 3, 4, 5, 6, 7, 8
Miles: 75, 150, 225, 300, 375, 450, 525, 600
Train 2:
Hours: 1, 2, 3, 4, 5, 6, 7, 8
Miles: 0, 0, 100, 200, 300, 400, 500, 600
Answer:
0.527
Step-by-step explanation:
From the question,
The sequence is Geometry Progression (G.P)
Tₙ = arⁿ⁻¹.......................... Equation 1
Where n = number of term, a = first term, r = common ratio
Given: n = 7, a = 6, r = 2/3
Substitute these values into equation 1
T₇ = 6(2/3)⁷⁻¹
T₇ = 6(2/3)⁶
T₇ = 6(64/729)
T₇ = 384/729
T₇ = 0.527
Hence, the 7th term of the sequence is 0.527
Three feet is 1 yard. 26 feet would be 26/3=8 2/3 yards long.