Answer: it will take her 58 minutes to walk one mile.
Step-by-step explanation:
She walks at a constant rate of 30 seconds per lap and it takes her 46 steps to walk one full lap. It means that she walks 46 steps in 30 seconds.
If each step is approximately 1 foot, it means that the number of feet that she walks in 30 seconds is 46 feet.
1 foot = 0.000189 miles
Therefore, 46 feet would be
46 × 0.00189 = 0.008694 miles
Therefore, if she she walks 0.008694 miles in 30 seconds,
The time it will take her to walk 1 mile would be
30/0.008694 = 3450.66 seconds
Converting to minutes, it becomes
3450.66/60 = 58 minutes
Answer:
the lines meet at (2/3, 2)
Step-by-step explanation:
f(x) = g(x)
plug equations for f(x) and G(x)
-3x+4 = 2
-3x = -2
x = 2/3
since both equations meet at x = 2/3, it doesn't matter which equation you plug x = 2/3 into to find the y-coordinate
for simplicity purposes since g(x) is easier to solve, I am going to plug x = 2/3 into g(x), but plugging it into f(x) will give you same answer
g(x) = 2
g(2/3) = 2
the lines meet at (2/3, 2)
Answer:
Option (A).
Step-by-step explanation:
Given question is incomplete; find the complete question with the attachment.
In the triangle NRL,
Points P, S and M are the midpoints of the sides NR, RL and LN respectively.
Sides SM = (3x - 4), NR = (9x - 20)
By the theorem of midpoints in a triangle,
SM = 
(3x - 4) = 
6x - 8 = 9x - 20
9x - 6x = 20 - 8
3x = 12
x = 4
Therefore, Option (A) will be the answer.
Given:
Height of cylinder, h = 9 cm
Radius, r = 3 cm
Total amount of paper the company has = 8138.88 cm²
Let's find the number of labels that can be made given that the label covers only the side.
Here, we are to apply the formula for the surface area of a cylinder.
We have:

The 2πr² represents the area of the top and bottom circle of the cylinder.
Since the label covers only the side, we are to exclude the 2πr².
Hence. we have:

WHere:
r = 3 cm
h = 9 cm
Thus, we have:

Now, the number of labels they can make is:

Therefore, the company can make 48 labels.
ANSWER:
48 Labels