Answer:
Dimensions of the rug = 13 ft × 26 ft
Step-by-step explanation:
Dimensions of the room = 21 ft × 34 ft
Area of the room = 21 × 34 = 714 ft²
Cynthia wants to leave a uniform strip of floor around the rug.
Let the width of the rug = x ft
Then the dimensions of the rug will be = (21- 2x)ft × (34 - 2x)ft
Area of the rug = (21 - 2x)×(34 - 2x) square feet
338 = (21 - 2x)×(34 - 2x)
338 = 714 - 68x - 42x + 4x²
4x² - 110x + 714 - 338 = 0
4x² - 110x + 376 = 0
2x² - 55x + 188 = 0
2x² - 47x - 8x + 188 = 0
x(2x - 47) - 8(x - 47) = 0
(x - 4)(2x - 47) = 0
x = 4,
For x = 23.5 area of the rug will be negative.
Therefore, x = 4 ft will be the width of the rug.
Dimensions of the rug will be 13 ft × 26 ft.
Answer: 32.8kgm^2/s
Step-by-step explanation:
1. Angular momentum is a product of linear momentum and the distance of the object from a rotation axis.
2. Linear momentum (L) is given as :
L = mv
Where: m= mass = 4kg
v= velocity= 2m/s
=> L = 8kgm/s
Angular momentum (A) = L x centre distance (d) of object from a rotation axis
d = √(0.9-0)^2 + (10-6)^2 = 4.1m
=> A = 8 x 4.1 = 32.8kgm^2/s.
Answer:
4,7 is the one not equalivent to the others.
Step-by-step explanation:
All of the y values in the ratios have a gcf of 12. 7 Is not divisible by 12, let alone 9.
Answer:
The dependent variable = Number of homeruns
Independent variable = years played
The Independent variable is Number of characters per minute
Dependent variable is Texting speed
Step-by-step explanation:
The independent variable are the variables which are used to infer or being about changes to the dependent variable by supplying different values of them, they are also called predictor variables. By varying the number of years, a baseball players' number of homeruns' can be predicted in such basis, hence, the
predicted or dependent variable is the number of homeruns'.
Similarly, the Number of characters (independent) an individual is able to type within a particular period of time can be used determine the Texting speed (dependent) of such person.