Francesca plays a bass drum. After measuring it, she calculates that it has a circumference of 81.64 centimeters. What is the drum's area?

Use 3.14 for ​.

Answer:

a = 4.8

Step-by-step explanation:

9 - 4a + 12 = 6a - 27

21 - 4a = 6a - 27

48 - 4a = 6a

48 = 10a

4.8 = a

Answer:

Around 54% is what I would say.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to use the tangent.

Tan(y) = opposite / adjacent

tan(10) = x / 500

tan(10) = 0.1763

0.1763 = x / 500

500 * 0.1763 = x

x = 88.1635

x = 88.2

Step-by-step explanation:

1. 3:4, 6:8, 9,12

So 12:15 is the same thing as 12/15 you need to simplify so 12 devided by 2 is 4 and 15 divided by 3  is 5 so question to is 4:5

the ratio of 3to4 is 7.42069 and 12 to 1362 the others r to hard for my big brain

Step-by-step explanation:

The length of the hypotenuse is 7m.

Let the side opposite to 30° be the shortest leg.

The side opposite to 60° is the longest leg.

So, the side opposite to 90° is hypotenuse.

Length of the shortest side is x.

Length of longest side is \(\sqrt{3}x\)

Length of the hypotenuse is 2x.

We know x = 7

So, \(\sqrt{3}(x)=\sqrt{3}(7)\)

Thus, the length of the longer leg is \(\sqrt{3}(7)\) m

Length of hypotenuse = 2x = 2(7) = 14m

\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)

Taking square root on both sides:

\(2x = \sqrt{196}\)

2x = 14

x = 7

Therefore, the length of the hypotenuse is 7m.

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Answer:

ninety-nine million nine hundred ninety-nine thousand two hundred twenty

Step-by-step explanation:

The value of x for the intersecting chords is derived to be 14 which makes option C correct.

The property of intersecting chords states that in a circle, if two chords intersect, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

x × 32 = 16 × 28

32x = 448

32x/32 = 144/32 {divide through by 32}

x = 14

Therefore, the value of x for the intersecting chords is derived to be 14

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Answer:

Yes

Step-by-step explanation:

The lines in question have no degree angle to them. Don't let the line in the middle confuse you!

Hope this helps!

Answer:

13√7√z

Step-by-step explanation:

\(5\times \sqrt{28z} + \sqrt{63z} \\\\5\sqrt{28z}=10\sqrt{7}\sqrt{z}\\\\\sqrt{63z}=3\sqrt{7}\sqrt{z}\\\\=10\sqrt{7}\sqrt{z}+3\sqrt{7}\sqrt{z}\\\\\mathrm{Add\:similar\:elements:}\:10\sqrt{7}\sqrt{z}+3\sqrt{7}\sqrt{z}=\\13\sqrt{7}\sqrt{z}\)

The value of the expression 5 √28z + √63z will be;

⇒ 13 √7z

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 5 √28z + √63z

Now,

Solve the expression as;

⇒ 5 √28z + √63z

⇒ 5 √2×2×7z + √3×3×7z

⇒ 5 × 2√7z + 3√7z

⇒ 10 √7z + 3 √7z

⇒ 13 √7z

Thus, The value of the expression 5 √28z + √63z will be;

⇒ 13 √7z

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Answer:16x16

Step-by-step explanation:

Answer:

y ≤ 3x − 1

Step-by-step explanation:

The line has a y-intercept of -1 and a slope of 3.

The shaded area is below the line, so we use < or ≤.

The line is solid, not dashed, so we use ≤.

y ≤ 3x − 1

Answer:

Step-by-step explanation:

ok so

4(x - 1) = – 4 + 4x

4x-4 = -4+4x

so Any value of  (  x  ) makes the equation true.

All numbers are a solution

Answer:

Step-by-step explanation:

18% of $3200.80 = $576.144.

$576.144 is for one month. So, for a year is 12 * $576.144 = $6913.728.

Answer: x4+3bxy−x3+x2−8x−2

Step-by-step explanation:

x4−x3+x2−8x+3byx−2

=x4+−x3+x2+−8x+3bxy+−2

HOPE THIS HELPS

Answer:

x^4-x^3+x^2-5x-2

Step-by-step explanation:

9514 1404 393

Answer:

  (a) 90°, 90°

  (b) 5, 1

  (c) 10°, 20°

  (d) 10°, 20°, 150°

Step-by-step explanation:

You need to consider ways in which each statement might not apply.

(a) An obtuse angle is greater than 90°. If both angles are 90°, then neither is obtuse.

  counterexample: m∠1 = 90°, m∠2 = 90°

__

(b) If the perimeter is 12, the sum of the side lengths must be 6. There are many ways to get two numbers that have a sum of 6. Here's one:

  counterexample: length = 5, width = 1

__

(c) All that is required is that the sum of angles be 30°. They don't have to be equal.

  counterexample: m∠ABC = 10°, m∠CBD = 20°

__

(d) We know the three angles of a triangle have a sum of 180°, but that does not require it to be an acute triangle. A triangle can also be right or obtuse.

  counterexample: m∠P = 10°, m∠Q = 20°, m∠R = 150°

Answer:

4 5/8

Step-by-step explanation:

7 7/8= 63/8

3 1/4= 13/4= 26/8

63/8 - 26/8= 37/8

37/8= 4 5/8

Answer:

P = 9+9+14+14= 46cm

A = Base (14 cm) × Height (7cm)

14×7= 98 cm²

3. P= 1.2 +2.0 +1.6= 4.6m

A = 1/2 B×H

= 1/2 1.6× 1.2

= 0.96 m²

Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.

The correct answer is option D.

To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."

Let's analyze the given function and its graph to understand why the domain is "all real numbers."

The function y =  \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.

Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.

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Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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The function represented by the table is symmetric, and the values of y vary with the square of the corresponding values of x. Therefore, the function is exponential.

In mathematics, a function is a rule that assigns a unique output value for every input value. It is a mathematical object that takes an input and produces an output. A function is often represented symbolically as f(x), where f is the name of the function and x is the input. The output value of the function depends on the input value, and the relationship between the input and output is determined by the rule of the function. Functions can be linear, quadratic, exponential, trigonometric, or many other types. They are used to model real-world phenomena and solve mathematical problems.

Here,

To determine if the function represented by the table is linear, quadratic, or exponential, we can plot the points on a graph and look at the pattern of the data.

x y

-2 12

-1 3

0 0

1 3

2 12

    |

12   *      *   12

    |       \ /

6   *        *

    |         |

0 --*--*--*--*--*--*--*--*--

    |         |

    *        *

   / \      /

-6 *   *    *

    |

    -2 -1  0  1  2

Looking at the graph, we can see that the points do not fall on a straight line, so the function is not linear. Additionally, the curve of the points does not resemble a parabola, so the function is not quadratic. However, the points are symmetric around the y-axis, suggesting that the function may be exponential.

To confirm this, we can calculate the ratio of consecutive y-values:

12/3 = 4

3/0 = undefined

0/3 = 0

3/12 = 1/4

We can see that the ratio is not constant except for the first and last points, which have a ratio of 4. This suggests that the function is not purely exponential, but may have some other component.

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Answer:

here are 117,600 ways the runners can finish first, second, and third in the race.

Step-by-step explanation:

The number of ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations. In this case, we are interested in selecting 3 runners from a group of 50.

The number of ways to choose the first-place finisher is 50 because any of the 50 runners can finish first. After one runner is selected for the first place, there are 49 remaining runners.

For the second-place finisher, there are 49 remaining runners to choose from since one runner has already been selected for the first place. Thus, the number of ways to choose the second-place finisher is 49.

Similarly, for the third-place finisher, there are 48 remaining runners to choose from since two runners have already been selected for the first and second places. Hence, the number of ways to choose the third-place finisher is 48.

To determine the total number of ways the runners can finish in first, second, and third places, we multiply the number of choices for each position: 50 * 49 * 48 = 117,600.

Therefore, there are 117,600 ways the runners can finish first, second, and third in the race.

Answer: 1.4375 percent

Step-by-step explanation:

69/48 = 1.4375 percent.

(if its incorrect I'm sorry)

Hey there!

40 - 3 * x = 25

-3x + 40 = 25

ADD 40 to BOTH SIDES

-3x + 40 - 40 = 25 - 40

CANCEL out: 40 - 40 because it gives you 1

KEEP: 25 - 40 because it helps solve for the x-value

NEW EQUATION: -3x = 25 - 40

SIMPLIFY

25 - 40 = -15

NEW EQUATION: -3x = -15

DIVIDE -3 to BOTH SIDES

-3x/-3 = -15/-3

CANCEL out: -3/-3 because it gives you 1

KEEP: -15/-3 because it helps solve for the x-value

NEW EQUATION: x = -15/-3

SIMPLIFY

x = 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

-4

Step-by-step explanation:

5) The measures of central tendency for the monthly rainfall (in inches) are as follows:

6) The measures of central tendency for the July 4th Temperatures (°F) are as follows:

7) The measures of central tendency for the Baby Sleep Log (in hours) are as follows:

8) The measures of central tendency for the Daily running log (in kilometers) are as follows:

9) The measures of central tendency for the Reading log (in pages) are as follows:

10) The measures of central tendency for the Monthly snowfall (in inches) are as follows:

The measures of central tendency are typical values or summary statistics of a data set.

The three main measures of central tendency are the mean (the average value), the median (the middle value), and the mode (the most occurring values).

5) Monthly Rainfall (in inches):

1, 0, 2, 0.5, 0.25, 3, 0.25

Arranged data: 0, 0.25, 0.25, 0.5, 1, 2, 3

Total value = 7 (0 + 0.25 + 0.25 + 0.5 + 1 + 2 + 3)

Number of items = 7

Mean = 1 inch (7 ÷ 7)

Median = 0.5 inches

Modes = 0.25 inches

6) July 4th Temperatures (°F):

89, 94, 96, 99, 96, 97, 95, 92

Arranged data: 89, 92, 94, 95, 96, 96, 97, 99

Total value = 758°F (89 + 92 + 94 + 95 + 96 + 96 + 97 + 99)

Number of items = 8

Mean = 94.75°F (758 ÷ 8)

Median = 95.5°F (95 + 96)

Modes = 96°F

7) Baby Sleep Log (in hours):

10, 8, 9, 8, 8.25, 9.25, 8.5

Arranged data: 8, 8, 8.25, 8.5, 9, 9.25, 10

Total value = 61 (8 + 8 + 8.25 + 8.5 + 9 + 9.25 + 10)

Number of items = 7

Mean = 8.7 hours (61  ÷ 7)

Median = 8.5 hours

Modes = 8 hours

8) Daily running log (in kilometers):

3.5, 0, 2.5, 5, 2.5, 3, 4.5

Arranged data: 0, 2.5, 2.5, 3, 3.5, 4.5, 5

Total value = 21 (0 + 2.5 + 2.5 + 3 + 3.5 + 4.5 + 5)

Number of items = 7

Mean = 3 km (21  ÷ 7)

Median = 3 km

Modes = 2.5 km

9) Reading log (in pages):

21, 42, 25, 45, 37, 34, 30

Arranged data: 21, 25, 30, 34, 37, 42, 45

Total value = 234 (21 + 25 + 30 + 34 + 37 + 42 + 45)

Number of items = 7

Mean = 33.4 pages (234 ÷ 7)

Median = 34 pages

Modes = None

10) Monthly snowfall (in inches):

0.5, 2, 5, 0.25, 1

Arranged data: 0.25, 0.5, 1, 2, 5

Total values = 8.75 inches(0.25 + 0.5 + 1 + 2 + 5)

Number of items = 5

Mean = 1.75 inches (8.75÷ 5)

Median = 1

Modes = None

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Question:

Which coordinate grid shows Point A at (−0.25, 1.75)?

Answer:

You saved $135 off of the original price of the guitar

Step-by-step explanation:

The original price of the guitar is $450. If we subtract 30% of the original price, we will essentially be solving 450 - 135 which gives us $315. Since we know that 30% was the amount taken off, 30% of the original price is how much you saved. So, you saved $135 off of the original price of the guitar.

(sorry if this is confusing, I'm not very good with words)

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.

According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.

Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.

Interest = Principal * Rate

= $13,250.00 * 0.10358

≈ $1,370.56

Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.

Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.

Calculating the interest with a credit score of 680:

Interest = Principal * Rate

= $13,250.00 * 0.09132

≈ $1,210.57

Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.

Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

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