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laiz [17]
3 years ago
12

Find the volume of the composite solid.

Mathematics
1 answer:
erik [133]3 years ago
8 0

Answer:

Equal.

Step-by-step explanation:

The volume of the rectangular prism is:

V = length x width x height

V = 3a x 2b x c

V = 6abc

The volume of the pyramid is:

V = (base area x height)/3

V = (a x b x 18c)/3

V = 18abc/3

V = 6abc

The two volumes are equal.

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Find the minimum value of P=5x+6y subject to the following constraints.<br> Please help me!!
Rashid [163]

Answer:

The maximum value of P is 34 and the minimum value of P is 0

Step-by-step explanation:

we have the following constraints

x+y \leq 6 ----> constraint A

2x+3y \leq 16 ----> constraint B

x\geq 0 ----> constraint C

y\geq 0 ----> constraint D

Solve the feasible region by graphing

Using a graphing tool

The vertices of the feasible region are

(0,0),(0,5.33),(2,4),(6,0)

see the  attached figure

To find out the maximum and minimum value of the objective function P, substitute the value of x and the value of y for each of the vertices in the objective function P, and then compare the results

we have

P=5x+6y

For (0,0) ----> P=5(0)+6(0)=0

For (0,5.33) ----> P=5(0)+6(5.33)=31.98

For (2,4) ----> P=5(2)+6(4)=34

For (6,0) ----> P=5(6)+6(0)=30

therefore

The maximum value of P is 34 and the minimum value of P is 0

5 0
3 years ago
Write 7/40 as a percent.​
Archy [21]

Answer:

17.5%

Convert fraction (ratio) 7 / 40 Answer: 17.5%

Step-by-step explanation:

Brainliest?

6 0
3 years ago
Read 2 more answers
Help me with number three please
Alexxandr [17]
Y2-Y1/X2-X1 = 7-22/1-4 = -15/-3 = 5
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3 0
3 years ago
Read 2 more answers
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