In this case, we are given with the expression <span>sin(cos 8θ)/sec 5θ and is asked to evaluate the expression with limit as theta approaches 0. In this case, we just substitute 0 to theta. cos 0 is equal to 1 hence sec 0 is also equal to 1. sin theta is equal to 0.0175. Answer os 0.0175.</span>
Answer:
The angular velocity of Earth is π/12 radians per hour.
The angular velocity of Earth is 2π radians per day.
Step-by-step explanation:
A full circumference of a circle (as the Equator line on Earth) is 2π radians.
Since the planet does a full revolution in 24 hours... that means it makes a full turn in a day.
So, we can see that in a day, the planet rotates 360 degrees... or 2π radians per day!
Now, if you want to find the angular velocity per HOUR... you divide that by 24... so 2π/24 = π/12 radians
So, we can also say it does π/12 radians per hour.
To solve for the ounces of bleach that Jack used, we utilize the formula below
Bleach = (Percentage of bleach)*(Total ounces of cleaning solution)
Bleach = 0.12*150 ounces
Bleach = 18 ounces
<em>ANSWER: 18 ounces of bleach</em>
The total cost of the meal is $37.80
Given:
Food bill = $30
tip = 20%
sales tax = 6%
Tip and sales tax must be based on the food bill.
Tip = $30 x 20% = $6
Sales Tax = $30 x 6% = $1.80
Food bill : 30.00
Tip 6.00
Sales tax <u> 1.80</u>
Total cost 37.80
