Answer:
A. The area is 
B. She needs to cover 1661.9 square feet of tiles for the base of the swimming pool
Step-by-step explanation:
Question A:
Let us assume that the leash is pegged to the ground using a stake. as a result, the dog can move around the stake. The path that the motion of the dog would trace is a circle, and the radius of the circle will be the length of the leash.
Since we know this, we can easily find the area of the circle using 
Area of the circle = 
Question B
Dulce wants to cover the whole surface area of the floor of the circular swimming pool with tiles.
We already know that the swimming pool is circular, hence, the surface area of the base of the swimming pool will be the same as the area of a circle, with the same radius.
The area of the circle can be calculated using
Area of circle = 
Newton's law of cooling states that under forced convection (which is assumed to be true), then
dT(t)/dt = -k(T(t)-Ta)..............(1)
T(t)=temperature
Ta=ambient temperature=40F
k=cooling constant = 0.1947
T(0)=98.6F (assuming victim did not have fever)
Integrate (1)
T(t)-Ta=(T(t)-T(0))e^(-kt)
Solve for t
(T(t)-Ta)/(T(t)-T(0)) = e^(-kt)
take log:
-kt=log_e((T(t)-Ta)/(T(t)-T(0)))
substitute T(t)=80F, Ta=40F,T(0)=98.6F
-kt=log_e((80-40)/(98.6-40))=-0.38186
t=0.38186/0.1947
=1.96, or almost 2 hours (assuming k=0.1947 is in hours)
Answer:
the answer is a
Step-by-step explanation:
because the pattern multiplies by 2 for the y axis and for the x axis it just goes up 1
Answer:
1) The sequence is arithmetic as the same value is added each time (there is a common difference between terms).
2) First term of the sequence = -9
3) sequence generator = + 4
Step-by-step explanation:
1) The sequence is arithmetic as the same value is added each time (there is a common difference between terms).
2) First term of the sequence = -9
3) sequence generator = + 4
Answer:
length = 23 inches; width = 18 inches.
Step-by-step explanation:
Length and width are found from their expressions after solving for x. The value of x can be found from ...
... overall area - cutout area = 148 . . . . . . square inches
... (2x -1)(x +6) - (2x -5)(x +2) = 148 . . . . . substitute length and width expressions. Each area is the product of length and width.
... 2x² +11x -6 -(2x² -x -10) = 148 . . . . . . . multiply binomials
... 12x +4 = 148 . . . . collect terms
... 12x = 144 . . . . . . . subtract 4
... x = 12 . . . . . . . . . . divide by 12
Then the overall length is ...
... 2x -1 = 2·12 -1 = 23 . . . inches
and the overall width is ...
... x +6 = 12 +6 = 18 . . . inches
The overall dimensions of the original mat are 23 inches by 18 inches.
