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ozzi
3 years ago
6

Find the circumference and the area of a circle with diameter equal to 8.6 inches. Use 3.14 for pi

Mathematics
1 answer:
mariarad [96]3 years ago
5 0

Answer: Circumference of circle = 27.004 inches

              Area of circle = 58.0586 inches²

Step-by-step explanation:

Diameter of circle = 8.6 inches

Pi (\pi) = 3.14

Circumference of circle (With diameter) = \pi \\d (\pi×diameter)

                                                                = 3.14 × 8.6

                                                                = 27.004 inches

Area of circle (With diameter) = \pid^{2}/4

                                                 = 3.14 × 8.6 × 8.6 / 4

                                                 = 3.14 × 73.96 / 4

                                                 = 58.0586 inches²

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Answer:

No, the maximum height that the balloon can reach is 9ft.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

The function h(x) =-0.5(x-4)² +9, is a Quadratic Function in the Vertex form.

Vertex form: f (x) = a(x - h) 2 + k

Where:

  • (h, k) is the vertex of the parabola-
  • h is the horizontal shift (how far left, or right, the graph has shifted from x = 0).  
  • k represents the vertical shift (how far up, or down, the graph has shifted from y = 0).  

In this case a = -0.5, it means that the parabola opens downward and has a maximum point at the vertex.

So, the maximum height that the balloon can reach is k=9ft.

9 ∠ 12

The balloon will not hit the ceiling 12 ft above the pool.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
An item was sold at a loss of 20%. Had it been sold for Rs 3000more then the profit would have been 10%. What is the cost price
vagabundo [1.1K]

Answer:

Cost Price = Rs 10000

Step-by-step explanation:

Assume:

Cost of the item = x

Item was sold at a loss of 20%:

Loss = 20% of x = 0.2x

Item sold = x - 0.2x = 0.8x

Item sold at a profit of 10%:

Profit = 10% of x = 0.1x

item sold = x + 0.1x = 1.1x

Solve:

Difference = 1.1x - 0.8x = 0.3x

0.3x = Rs 3000

x = Rs 3000 ÷ 0.3

x = Rs 10000

3 0
3 years ago
#1: Simplify the expression below. Type your answer as an integer.<br> 7 + 1 - 18 : 6
myrzilka [38]

Answer:

5

Step-by-step explanation:

<u>Steps of calculation:</u>

  • 7 + 1 - 18 : 6 =
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Answer is 5

8 0
3 years ago
Mr. Nolan has a bank account that compounds interest
german

Answer: At the end of the day on December 8, he has a total balance of $2841.02

Step-by-step explanation:

The rate at which the compound interest adds up is a 3.7%.

His principal is $2644.08, on the 7th of December, he withdraws $550. Thus, his balance is = $2644.08 - $550 = $2094.08.

He later deposits $934, after being paid by his employer.

That is $2094.08 + $934 = $3028.08

Which is his balance at the end of the day on December 7.

Remember that the rate is daily, at a 3.7%.

A 3.7% of the balance of December 7, $3028.08 is $112.039.

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Therefore, $2840.119 = $2841.019

In two decimal places, that is approximately $2841.02

Therefore, Mr Nolan's balance at the end of December 8 is $2841.02.

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