Answer:
960 ft
Step-by-step explanation:
We need to find the surface area. To do this, let's see the shapes that are present. There are two triangles with a base and height of 9 and 12, respectively. There is one rectangle with a base and height of 24 and 15, one with base and height of 24 and 12, and finally one with a base and height of 24 and 9.
The areas are:
Triangles: 1/2bh = 1/2(9)(12) = 48 (there are two of these)
Rectangle 1: bh = (24)(15) = 360
Rectangle 2: bh = (24)(12) = 288
Rectangle 3: bh = (24)(9) = 216
Adding all these areas together, we get 960.
Thus, Monique will need 960 feet of fabric to cover the prism.
Hope this helps!
Answer:
20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.
Step-by-step explanation:
We are given the following in the question:
Let x quarts of 6% butterfat milk be used and y quarts of 3% butterfat milk be used to make 60 quarts of 4% butterfat milk.
Thus, we can write the equation:
Total amount of 3% butterfat milk = 60
Thus, we can write the equation:
Solving the two equation, we get,
Thus, 20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.
Step-by-step explanation:
a + a r + a r^2 + a r^3 + a r^4 + a r^5 + ar^6
a r^2 = 108
a r^5 =-32
r^5/r^2 = - 32/108 = -8/27
r^3 = -2^3/3^3 =
r = - 2/3
Answer:
7.21875
Step-by-step explanation:
Answer
Area = 35cm^2
Explanation
Area of a parallelogram = b•h
In this question, we are given the values:
H = 5cm
B = 7cm
Therefore, the area is 5 x 7
= 35 cm^2
~Hoodini, Hope this helps.
