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pantera1 [17]
3 years ago
8

Enter the equation of the circle described below. Center (0,4), radius V3

Mathematics
1 answer:
Alla [95]3 years ago
8 0

Answer:

The equation is:

(x - 0)^2 + (y - 4)^2 = 3

Step-by-step explanation:

The equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

(where (h, k) represents the center and r the radius).

-Use the given center and radius for the equation of a circle:

(x - 0)^2 + (y - 4)^2 = \sqrt{3} ^2

After, you have the equation of a circle written, simplify the radius by the exponent 2:

(x - 0)^2 + (y - 4)^2 = 3

So now, you have found the equation of a circle.

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The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3year
Paha777 [63]

Answer:

Step-by-step explanation:

The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum​

The formula for Simple Interest = PRT

From above question, we have to find the Principal

The simple interest on a certain sum for 5years at 8% per annum is Rs200

Hence,

R = 8%

T = 5 years

Rs 200 = P × 8% × 5

P = 200/8% × 5

P = Rs500

The principal = Rs 500

The simple interest on the same sum for 3years and 4months at 18% per annum.

Simple Interest = PRT

R = 18%

T = 3 years and 4 months

Converted to years

T = 3 + (4 months/12 months)

T = 3.33 years

Hence,

Simple Interest = Rs 500 × 18% × 3.33 years

= Rs 299.7

7 0
3 years ago
What is the simplified form of the following expression 7(^3√2x)-3(^3√16x)-3(^3√8x)
svlad2 [7]

Answer:

The simplified form of the expression is \sqrt[3]{2x}-6\sqrt[3]{x}

Step-by-step explanation:

Given : Expression 7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}

To Simplified : The expression

Solution :  

Step 1 - Write the expression

7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}

Step 2- Simplify the roots and re-write as

16=2^3\times2 and 8=2^3

7\sqrt[3]{2x}-3\times2\sqrt[3]{2x}-3\times2\sqrt[3]{x}

Step 3- Solve the multiplication

7\sqrt[3]{2x}-6\sqrt[3]{2x}-6\sqrt[3]{x}

Step 4- Taking \sqrt[3]{2x} common from first two terms

\sqrt[3]{2x}(7-6)-6\sqrt[3]{x}

\sqrt[3]{2x}-6\sqrt[3]{x}

Therefore, The simplified form of the expression is \sqrt[3]{2x}-6\sqrt[3]{x}

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Answer:

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Step-by-step explanation:

Because in that set of data 85 and 89 are in the middle so you have to find the number between 85 and 89 and it is 87

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Answer:

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Step-by-step explanation:

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