Answer:
The rug will fit on the floor of her room
Step-by-step explanation:
The floor's area is given as 108
Will the rug fit this area of 108 sq. ft.?? We have to find the area of the rug and if it is less than 108, then definitely it will fit.
The rug is in the shape of a rectangle. The area of a rectangle is length times width.
Given length 10 and width 6, the area is:
Area of Rectangle = 10 * 6 = 60
Area of Rug = 60
Is 60 less than 108?? Yes, definitely!
The rug will fit on the floor of her room
The answer is 20 days.
After 60 people have joined there will be 460 people in the camp.
The number of days which the provisions will last will be proportional less after the 60 people have joined and will be:-
(400/460) * 23
= (20 / 23) * 23
= 20
The answer is the first choice - see picture for solution:
Answer:
Option C
+ or - 3
Step-by-step explanation:
A quadratic equation will have equal roots if its Discriminant is equal to zero.
the discriminant in this case is 
considering the equation,

a = 9, b= 8k, c=8
Replacing the variables in the original equation with their respective values, we will have:

Note: The values of k are meant to be + or -2.12 as seen from the workings
However, these are not in the options given. the closest choice to it
is + or - 3
Answer:
T(t) = 3sin((t-5)π/30)
Step-by-step explanation:
5 minutes after Thomas ties it on, the torque is zero and increasing. So, the sine function is shifted right 5 minutes. The maximum value is 3, so that is the multiplier of the sine function. The period is 60 minutes, so the coefficient of t is (2π/60) = π/30. The function you want is ...
T(t) = 3sin((t-5)π/30)