Answer:

Step-by-step explanation:
Given:
Waiting time = 5 hours.
We need to find the number of minutes for 5 hours.
Solution:
We know that 60 minutes for each hour, so one hour is equal to 60 minutes.
For one hour = 
For five hours = 

Therefore, you will have to wait 300 minutes in a line.
Answer:
25√2 ≈ 35.36 inches
Step-by-step explanation:
The Pythagorean theorem can be used to find the leg length for the given conditions. It tells you the relation between legs a, b, and hypotenuse c is ...
c² = a² +b²
If a=b, and c=50, this becomes ...
50² = a² +a²
1250 = a² . . . . divide by 2
25√2 = a . . . . take the square root
The length of each leg is 25√2 ≈ 35.36 inches.
Answer:
x=8
Step-by-step explanation:
The two angles are alternate interior angles. This means that they are equal to each other.
8x-12=3x+28
5x=40
x=8
Answer:
9 degrees
Step-by-step explanation:
Consider the function

, which has derivative

.
The linear approximation of

for some value

within a neighborhood of

is given by

Let

. Then

can be estimated to be

![\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B63.97%7D%5Capprox4-%5Cdfrac%7B0.03%7D%7B48%7D%3D3.999375)
Since

for

, it follows that

must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function

. This means the estimated value is an overestimation.
Indeed, the actual value is closer to the number 3.999374902...