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kherson [118]
3 years ago
9

The radius of a circular Frisbee is 9.8 centimeters. Using rounding to the nearest whole number, what is an estimate for the cir

cumference of this circle?
Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Answer:

62

Step-by-step explanation:

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Obtuse scalene; there is no such thing as a right scalene or obtuse equilateral
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The population of Tinyville is 16. 2 Tinys per acre. Exactly 405 Tinys live in Tinyville. How many acres is Tinyville? Enter onl
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The area of Tinyville if the population of Tinyville is 405 Tinys while the population density of the Tinyville is 16.2 is 25 Acres.

<h3>What is Ratio?</h3>

A ratio shows us the number of times a number contains another number.

As it is given that the population density of Tinyville is 16.2 Tinys per acre, while the population of Tinyville is 405 Tinys. Therefore, the area of the Tinyville is the ratio of the population of Tinyville to the population density of the Tinyville.

\text{Area of Tinyville} = \dfrac{\text{Population of Tinyville}}{\text{Population Density of Tinyville}}

\text{Area of Tinyville} = \dfrac{405}{16.2} = 25

Hence, the area of Tinyville if the population of Tinyville is 405 Tinys while the population density of the Tinyville is 16.2 is 25 Acres.

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2 years ago
A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out st
neonofarm [45]

Answer:

Objective Minimize 10x1 +15x2 + 12x3+18x4+15x5+ 21x6

The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.

The total minimum cost would $ 17586 +$260+ $300= $ 18146

Step-by-step explanation:

Let

X1 = # of undergraduate students from the East region,

X2 = # of graduate students from the East region,

X3 = # of undergraduate students from the Central region,

X4 = # of graduate students from the Central region,

X5 = # of undergraduate students from the West region, and

X6 = # of graduate students from the West region.

Then  the cost functions are

y1= 10x1 +15x2

y2= 12x3+18x4

y3= 15x5+ 21x6

According to the given conditions

The constraints are

x1 +x2 + x3+x4+ x5+ x6 ≥ 1500------- A

15X2 +18X4+21X6 ≥ 400---------B

21X6 ≥ 100

X6 ≥ 100/21

X6 ≥ 4.76

Taking

X6= 5

10X1 ≤ 500

X1 ≤ 500/10

X1≤ 5

18X4 ≥ 75

X4 ≥ 75/18

X4 ≥ 4.167

Taking

X4= 5

Putting the values

15X5+ 21X6 ≥ 300

15X5+ 21(5) ≥ 300

15X5+ 105 ≥ 300

15X5 ≥ 300-105

15X5 ≥ 195

X5 ≥ 195/15

X5 ≥ 13

Putting value of X6 and X4 in B

15X2 +18X4+21X6 ≥ 400

15X2 +18(5)+21(5) ≥ 400

15X2 +195 ≥ 400

15X2  ≥ 400-195

15X2  ≥ 205

X2  ≥ 205/15

X2  ≥ 13.67

Taking X2= 14

Now putting the values in the cost equations to check whether the conditions are satisfied.

y1= 10x1 +15x2

y1= 10 (5) + 15(14)= 50 + 210= $ 260

y3= 15x5+ 21x6

y3= 15 (13) + 21(5)

y3= 195+105= $ 300

x1 +x2 + x3+x4+ x5+ x6 ≥ 1500

5+14+x3+5+13+5≥ 1500

x3≥ 1500-42

x3≥ 1458

y2= 12x3+18x4

y2= 12 (1458)  + 18 (5)

y2= 17496 +90

y2= $ 17586

The cost can be minimized if the number of students from

                                 Undergraduate         Graduate

East Region              X1≤ 5                            X2  ≥ 13.67

Central                      X3≥ 1458                   X4 ≥ 4.167

West                          X5 ≥ 13                          X6 ≥ 4.76

This will result in the required number of students that is 1500

Constraints:

East Undergraduate must not be greater than 5

East Graduate must not be less than 13

Central Undergraduate must  be greater than 1458

Central Graduate must  be greater than 4

West Undergraduate must  be greater than 13

West Graduate must  be greater than 4

The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.

The east region has a least cost of $260 and west region has a cost of $300.

The total minimum cost would $ 17586 +$260+ $300= $ 18146

6 0
3 years ago
In parallelogram RSTU if UV = 12 Find US
nlexa [21]

Answer:

US= 24

Step-by-step explanation:

B is the mid point of the diagonal which means that to get US you would add VS which is 12 and you get 24

7 0
2 years ago
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