There are 45 pounds and 30 pounds of each type respectively.
Step-by-step explanation:
Since we have given that
Cost of first type = $2 per pound
Cost of second type = $7 per pound
Cost of mixture = $4 per pound
So, we need to find the quantity of each type to make 75 pounds of a blend.
We will use "Mixture and Allegations":
First type Second type
2 7
4
---------------------------------------------------
7 - 4 : 4 - 2
3 : 2
So, Quantity of first type would be
Quantity of second type would be
Hence, there are 45 pounds and 30 pounds of each type respectively.
Okay, you will need to use the law of cosines for this problem.
The Law of Cosines states (in this case): a^2 = b^2 + c^2 - 2 * b * c * cos A, where "a" is the side opposite angle A (7 inches), and b and c are the other two sides.
Plug the numbers in and you get: 7^2 = 5^2 + 9^2 - 2 * 5 * 9 * cos A, or:
49 = 25 + 81 - 90 * cos A.
Subtract (25 + 81) from both sides to get:
-57 = -90 * cos A.
Divide by -90 on both sides:
cos A = 19/30
To find A, you do the inverse trigonometric function to get:
cos^-1 of (19/30) = A.
I don't have a calculator that can do this right now, but if you plug the left side of the above equation into it (make sure it is in degrees, not radians), you should get A.
Answer:
3/32 tons
Step-by-step explanation:
3/4 divided by 8
3/4 divided by 8/1
3/4 times 1/8
3/32 tons per flower pot
<span><span>The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set. The second quartile is the median of the data. The third quartile (Q3) is the middle value between the median and the highest value of the data set.</span></span>
