Answer:
Paul should give 18 teaspoons of medicine to his dog.
Step-by-step explanation:
It is stated in the question that for every 12 pounds, 3 teaspoons of medicine is to be given to the dog.
This implies that:
12 pounds = 3 teaspoons
1 pound = 3/12 teaspoons
= 1/4 teaspoons <em> ( by cross multiplication )</em>
<em />
<h3>72 pounds = 1/4 * 72 teaspoons</h3><h3> = 18 teaspoons</h3><h3 />
Hence, Paul should add 18 teaspoons of medicine to his dog's food.
8(4a+2b)
The equivalent is 32a+16b (B)
Step-by-step explanation:
You can set up a proportion.
Let x be the number of pencils needed.

Solve for x.
x = 9444.44 pencils (round it up to 9445 pencils if you need a whole number)
Answer:
Step-by-step explanation:
Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet. You can also use the circumference and radius equation.
Answer:

Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2