Answer:
32.14 an hour
Step-by-step explanation:
If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width
Solution:
Let the length of rectangle=x
Width of rectangle=x/10
Perimeter is 2(Length+Width)
= 2(x+x/10)
Area of Rectangle= Length* Width=x*x/10
As, Perimeter=2(Area)
So,2(x+x/10)=2(x*x/10)
Multiplying the equation with 10, we get,
2(10x+x)=2x²
Adding Like terms, 10x+x=11x
2(11x)=2x^2
22x=2x²
2x²-22x=0
2x(x-11)=0
By Zero Product property, either x=0
or, x-11=0
or, x=11
So, Width=x/10=11/10=1.1
Checking:
So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2
Area=Length*Width=11*1.1=12.1
Hence, Perimeter= 2 Area
As,24.2=2*12.1=24.2
So, Perimeter=2 Area
So, Answer:Length of Rectangle=11 units
Width of Rectangle=1.1 units
Kala will use 13.2 gallons of gas to drive a distance of 286 miles.
Answer:
1: 105 degrees
2: 75 degrees
Step-by-step explanation:
2 is a corresponding angle with 75.
1 is supplementary so x+75 = 180
x=105
x = 9
Since M is the midpoint of XY:
XM = MY
XM = 2x + 11
MY = 5x - 16
2x + 11 = 5x - 16
5x - 2x = 11 + 16
3x = 27
x = 27/3
x = 8
Learn more here: brainly.com/question/18315903
