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lana66690 [7]
2 years ago
8

The diameter of a dime is 17.9 millimeters. What is the area of one side of the coin? Show your work

Mathematics
1 answer:
vekshin12 years ago
6 0

Answer:

251.65 Millimeters rounded to the hundredths place.

Step-by-step explanation:

The formula for the area of a circle is A=π×r^2.

Step 1: Find r, or the radius, which is half the diameter. In this case, it is 8.95.

Step 2: Square the radius that you get. In this case, the answer is 80.1025.

Step 3: Multiply the past number by π on your calculator. Some teachers allow 3.14 but be certain that your teacher allows it. In this case, π×80.1025=251.649425534

Step 4: You've got your answer! Hope this helps!

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An oblique cylinder has a radius of 9 centimeters and a volume of 486 cubic centimeters. Use Cavalieri’s Principle to calculate
kotegsom [21]

Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.

Option A) is the correct answer.

<h3>What is the height of the oblique cylinder?</h3>

From Cavalieri's principle, the volume of an oblique cylinder is expressed as;

V = base area × h

V = πr² × h

Given that;

  • Radius r = 9cm
  • Volume of the oblique cylinder V = 486πcm³
  • Height of the oblique cylinder h = ?

V = πr² × h

486πcm³ = π × ( 9cm )² × h

486πcm³ = π × 81cm² × h

486πcm³ = 81πcm² × h

h = 486πcm³ / 81πcm²

h = 6cm

Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.

Option A) is the correct answer.

Learn more on volume of cylinder here: brainly.com/question/16788902

#SPJ1

6 0
2 years ago
What is 22 hundredths as a decimal ?
Schach [20]
.022 would be 22 hundredths as a decimal
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to sqrt128x^5y^6/2x^7y^5 ? Assume x 0 and y &gt; 0.
kolbaska11 [484]

<u>Answer:</u>

\frac{8\sqrt{y} }{x}

<u>Step-by-step explanation:</u>

We are given the following expression and we are to simplify it:

\sqrt {\frac {128x^5y^6} {2x^7y^5} }

To make it easier to solve, we can also write this expression as:

\sqrt {\frac{128}{2} * \frac {x^5} {x^7} * \frac {y^6} {y^5}}

Now we will cancel out the like terms to get:

\sqrt {64*\frac{1} {x^2}*y }

Taking the square root of the terms to get:

8*\frac {1}{x} .\sqrt{y}

\frac{8\sqrt{y} }{x}

4 0
3 years ago
Read 2 more answers
I need help with this could some one help me understand
mixer [17]
<h2>4000 miles (6,437.38 kilometers)</h2>

Since 1 inch is 500 miles on the map, 8 inches would be 8 times more than 500 miles.

In this problem, we have to use <u>multiplication method</u> to solve the problem.

Multiply 500 miles × 8 inches. In simplified manner:

500 × 8

We get the answer:

500 × 8 = 4000

Final result:

<h3>4000 miles</h3>

<em>Hope this helps :)</em>

4 0
1 year ago
Read 2 more answers
Use the properties of limits to help decide whether the limit exists. If the limit​ exists, find its value. ModifyingBelow lim W
Sergeu [11.5K]

Answer:

The value of given limit problem is 0.

Step-by-step explanation:

The given limit problem is

lim_{x\rightarrow \infty}\dfrac{6x^3+5x-7}{6x^4-4x^3-9}

We need to find the value of given limit problem.

Divide the numerator and denominator by the leading term of the denominator, i.e., x^4

lim_{x\rightarrow \infty}\dfrac{\frac{6x^3+5x-7}{x^4}}{\frac{6x^4-4x^3-9}{x^4}}

lim_{x\rightarrow \infty}\dfrac{\frac{6}{x}+\frac{5}{x^3}-\frac{7}{x^4}}{6-\frac{4}{x}-\frac{9}{x^4}}

Apply limit.

\dfrac{\frac{6}{ \infty}+\frac{5}{ \infty}-\frac{7}{ \infty}}{6-\frac{4}{ \infty}-\frac{9}{ \infty}}

We know that \frac{1}{\infty}=0.

\dfrac{0+0-0}{6-0-0}

\dfrac{0}{6}

0

Hence, the value of given limit is 0.

8 0
3 years ago
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