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:
Step-by-step explanation:
x - 5 = 0.1(x +5)
x - 5 = 0.1x + 5*0.1
x -5 = 0.1x + 0.5 {Add 5 to both sides}
x = 0.1x + 0.5 + 5
x = 0.1x + 5.5
x -0.1x = 5.5 {subtract 0.1x from both sides}
0.9x =5.5 {Divide both sides by 0.9}
x = 5.5/0.9
x = 55/9
x = 6 1/9
Answer:
54 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is
A = 
( s is the side length ) then
= 81
( multiply both sides by 4 to clear the fraction )
s² = 324 ( divide both sides by )
s² = 324 ( take the square root of both sides )
s = 
= 18
Thus
perimeter = 3 × 18 = 54 cm
Answer:
The x-intercept is (7,0), and the y-intercept is (0,-35).
Step-by-step explanation:
The x-intercept has a y-coordinate of 0, since it is only because of that can the x-intercept touch the x-axis. Hence, once we plug y = 0 into 5x - y = 35:
5x - 0 = 35
5x = 35
x = 7.
Hence, the x-intercept is (7, 0).
Consequently, the y-intercept can be found using the same methods. Knowing the y-intercept has a x-coordinate of 0, we can plug that in to find:
5(0) - y = 35
0 - y = 35
y = -35
Hence, the y-intercept is (0,-35).
Hope this helped!
Answer:
The average speed is 9.8 meter per second in the first two seconds
Step-by-step explanation:
Complete Question
What is the average velocity of the rock in first 2 secs?
Solution
Distance travelled in first two seconds
m
Average speed = 
meter per second
