Answer:
x = 20 ft
Area of the living room = 400 ft²
Step-by-step explanation:
From the picture attached,
Length of rug = (x - 3) ft
Width of the rug = (x - 9) ft
Area of the rectangular rug = Length × Width
= (x - 3)(x - 9)
187 = (x - 3)(x -9)
187 = x² - 12x + 27
x² - 12x - 160 = 0
x² - 20x + 8x - 160 = 0
x(x - 20) + 8(x - 20) = 0
(x - 20)(x + 8) = 0
x = -8, 20
Since, measure of 'x' can't be negative, measure of x will be 20 ft.
Therefore, area of the square living room = x²
= (20)²
= 400 ft²
Which equations have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p? Check all that apply.
The equations that have the same solutions are
2.3p - 10.1 = 6.49p - 4
230p - 1010 = 650p - 400 - p
Answer:
m< 2= 95
m< 3= 85
m< 4= 95
Step-by-step explanation:
All adjacent angles are the same, making m< 3 85. 85 + 85 = 170. Because all of it is equal to 360 (a circle) subtract 360 by 170. Than m<4 and m< 2 both need to split it so you than divide 190 by 2 and get 95.
The answer is -14, plug in -3 for x.
Answer:
0.73 N to 2 dp.
Step-by-step explanation:
F = k/d^2 where k is a constant , F = force and d = distance.
Substituting:
0.36 = k / (6)^2
k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.
When d = 4.2 :
F = 12.96 / 4.2^2
F = 0.73 Newtons to 2 dp.