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svp [43]
2 years ago
15

Find the circumference of a circle whose area is equal to 64π^2​

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
7 0

Answer:

14 6/7 is the circumference

Step-by-step explanation:

you first of all look for the radius using the formulae multiply both sides by the reciprocal of 22/7

7/22 ×22/7r=64×7/22=224/11{2 4/11)

2 4/11 is the radius

cir =2×22/7×2 4/11

2×22/7× 26/11=104/7

==== =14 6/7

all i can do but am not sure sorry

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4 years ago
A certain restaurant offers 6 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an
max2010maxim [7]
<h3>27 different dessert platters can be offered by restaurant</h3>

<em><u>Solution:</u></em>

Given that,

A certain restaurant offers 6 kinds of cheese and 2 kinds of fruit for its dessert platter

Each dessert platter contains an equal number of kinds of cheese and kinds of fruit

<em><u>For this problem there are two scenarios: </u></em>

1 ) one cheese and one fruit

2 ) two cheese and two fruit

<em><u>For one cheese and one fruit</u></em>

<em><u></u></em>6C_1 \times 2C_1

Use the combination formula

C(n, r) = \frac{n !}{r ! (n-r) ! }

Where, n is total items and r is the items being chosen at a time

6C_1 \times 2C_1 = \frac{ 6 ! }{ 1 ! (6 - 1) ! } \times \frac{ 2 ! }{ 1 ! ( 2 -1 ) ! }\\\\6C_1 \times 2C_1 = \frac{ 6 ! }{ 1 ! 5 ! } \times \frac{ 2 ! }{ 1 ! 1 ! }\\\\6C_1 \times 2C_1 = \frac{ 6 \times 5 \times 4 \times 3 \times 2 \times 1}{ 5 \times 4 \times 3 \times 2 \times 1} \times 2 \times 1\\\\6C_1 \times 2C_1 = 6 \times 2 = 12

<em><u>For 2 cheese and 2 fruits</u></em>

6C_2 \times 2C_2

6C_2 \times 2C_2 = \frac{ 6 ! }{ 2 ! ( 6 - 2) ! } \times 2C_2\\\\We\ know\ that\ 2C_2 = 1\\\\6C_2 \times 2C_2 = \frac{ 6 ! }{ 2 ! ( 6 - 2) ! } \times  1\\\\6C_2 \times 2C_2 = \frac{ 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{2 \times 1 \times 4 \times 3 \times 2 \times 1 }\\\\6C_2 \times 2C_2 = 15

So, total ways = 12 + 15 = 27

Thus, 27 different dessert platters can be offered by restaurant

5 0
4 years ago
Solve the following equation for y, and the identify the slope of the line:9x-3y=15
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9x-3y=15
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8 0
4 years ago
What is the present value of an investment that will pay you $97,000 in four years. assume the appropriate discount rate is 7.75
frutty [35]
Total = Principal * (1 + (rate/n))^n*years
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Source: Compound Interest Formulas:
http://www.1728.org/compint3.htm



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Which statement is true about point Y?
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Step-by-step explanation:

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