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Katena32 [7]
3 years ago
10

The diameter of a circle is 1 meter.the circumference is how many centimeters

Mathematics
1 answer:
andre [41]3 years ago
3 0

Step-by-step explanation:

C= pi×d

d=.5 meters

so plug in the numbers

3.14 × .5= 1.75

circumference= 1.75 meters

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The door frame has measurements of 3ft by 8 ft. What is the length of the largest table that can be brought in the house on a di
Fiesta28 [93]

Answer:

The length of the largest table that can be brought in the house on a diagonal is 9.5\ ft

Step-by-step explanation:

we know that

Applying the Pythagoras Theorem

Find the length of the diagonal of the frame

d^{2} =3^{2} +8^{2} \\\\ d^{2}=90\\\\ d=\sqrt{90}\ ft\\\\ d=9.5\ ft

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3 years ago
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The Springer Dog Food Company makes dry dog food from two ingredients. The two ingredients (A and B) provide different amounts o
Nataly [62]

Answer:

a) Objective function (minimize cost):

C=0.50A+0.20B

Restrictions

Proteins per pound: 16A+8B\leq 12

Vitamins per pound: 4A+8B\leq 6

Non-negative values: A,B\geq0

b) Attached

c) The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.

d) The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.

Step-by-step explanation:

a) The LP formulation for this problem is:

Objective function (minimize cost):

C=0.50A+0.20B

Restrictions

Proteins per pound: 16A+8B\leq 12

Vitamins per pound: 4A+8B\leq 6

Non-negative values: A,B\geq0

b) The feasible region is attached.

c) We have 3 corner points. In one of them lies the optimal solution.

Corner A=0 B=0.75

C=0.50*0+0.20*0.75=0.15

Corner A=0.5 B=0.5

C=0.50*0.5+0.20*0.5=0.35

Corner A=0.75 B=0

C=0.50*0.75+0.20*0=0.375

The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.

d) If the company requires only 5 units of vitamins per pound rather than 6, one of the restrictions change.

The feasible region changes two of its three corners:

Corner A=0 B=0.625

C=0.50*0+0.20*0.625=0.125

Corner A=0.583 B=0.333

C=0.50*0.583+0.20*0.333=0.358

Corner A=0.75 B=0

C=0.50*0.75+0.20*0=0.375

The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.

3 0
3 years ago
PLEASE HELP!!!! HELP HELP!
monitta

Answer: D: Half turn about the origin

5 0
3 years ago
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OlgaM077 [116]

Answer:

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

Step-by-step explanation:

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Noah biked 2 1/2 miles.

So, in miles, he biked:

2 + \frac{1}{2} = \frac{2*2 + 1}{2} = \frac{4+1}{2} = \frac{5}{2}

How many times the length of Noah’s bike ride was Mai’s bike ride?

We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So

\frac{\frac{21}{4}}{\frac{5}{2}} = \frac{21}{4} \times {2}{5} = \frac{21*1}{2*5} = \frac{21}{10} = 2.1

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

5 0
2 years ago
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