Circle A has a diameter of approximately 20 inches and an area of approximately an area of 300 in² Circle B has a diameter of approximately 60 inches Which of these could be the area of circle B? A. About 100 in^2 B. About 300 in^2 C. About 900 in^2 D. About 2700 in^2

Answer:

12 ,,............,.,...,,,.

The value of x is 12 (Option a) if m∠2 = 6x - 12.

The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.

From the given information, we have:

m∠2 = 6x - 12

Since all angles of an equilateral triangle are equal, we can set up the equation:

m∠2 = m∠1 = m∠3

Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).

We can equate the measures of the angles:

y = 6x - 12

Now, let's solve this equation to find the value of x:

6x - 12 = y

Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).

6x - 12 = 60

Adding 12 to both sides:

6x = 72

Dividing both sides by 6:

x = 12

Therefore, the value of x is 12.

So, the correct option is: (a) 12

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The moment of inertia for an area is a measure of an object's resistance to rotational forces and is calculated using an integral involving the distance of small area elements from a reference axis.

Moment of inertia for an area, also known as the second moment of area or area moment of inertia, is a fundamental geometric property of a shape that reflects how its mass is distributed relative to a specific reference axis. It plays a crucial role in mechanics, as it is directly related to an object's resistance to bending and torsion.

In mathematical terms, the moment of inertia for an area is calculated using an integral of the form:

I = ∫(y^2 + z^2) dA

Where I represents the moment of inertia, y and z are the distances of a small area element dA from the reference axis (usually the centroid of the shape), and the integral is computed over the entire area of the shape.

The moment of inertia has units of length to the fourth power (L^4), and its value depends on both the shape's geometry and the axis around which it is calculated. For simple shapes like rectangles, circles, and triangles, the moment of inertia can be calculated using standard formulas. However, for more complex shapes, numerical methods like finite element analysis or integral calculus might be required.

In summary, the moment of inertia for an area is a measure of an object's resistance to rotational forces and is calculated using an integral involving the distance of small area elements from a reference axis. It plays a crucial role in mechanics and is essential in understanding an object's behavior under bending and torsion.

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$16,200

1) Coletando los datos

Valor presente: 5,000

rate: 9%

Tiempo: 36 meses

2) Escribindo la formula y despues aplicando los datos, tienemos:

Mira que subtraemos de lo Valor Futuro, el Principal. A -P = i

3) Entonces el interés simple és $16,200

a) Consumption = $17 billion.

b) Investment = $6 billion.

c) Phoenicia's government runs a budget deficit.

a. To find Phoenicia's consumption, we can use the equation:

Consumption = 60

P - Private Saving.

Given that private saving is $5 billion, and 60P is $22 billion, we can calculate:

Consumption = $22 billion - $5 billion

= $17 billion.

b. To find the country's investment, we need to subtract government purchases, transfer payments, and taxes from the GDP.

Since the government purchases are $7 billion, transfer payments are $2 billion, and taxes are also $7 billion, we can calculate:

Investment = GDP - (Government purchases + Transfer payments + Taxes)

= $22 billion - ($7 billion + $2 billion + $7 billion)

= $6 billion.

c. To determine if the government runs a budget surplus or a budget deficit, we can compare government purchases, transfer payments, and taxes.

Given that government purchases are $7 billion, transfer payments are $2 billion, and taxes are also $7 billion, we can calculate:

Budget surplus/deficit = Taxes - (Government purchases + Transfer payments)

= $7 billion - ($7 billion + $2 billion)

= -$2 billion.

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60 degrees is the measure of arc BC from the figure

The given diagram is a circle with several arc angles

arcAWB = 120 degrees

The line AC is a diameter

Since the sum of angles on a straight line is 180 degrees, hence:

arc AWB + arcBC = 180

arcBC = 180 - arc ZWX

arcBC = 180 - 120

arcBC = 60 degrees

Hence the measure of the arc BC from the diagram is 60 degrees

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The sales price on an item that is $50 with a 54% markdown is $23

The given parameters are

Item price = $50

Markdown = 54%

The sales price on an item that is $50 with a 54% markdown is calculated as

Sales price = Item price * (1 - Markdown)

So, we have

Sales price = 50 * (1 - 54%)

Evaluate

Sales price = 23

Hence, the sales price on an item that is $50 with a 54% markdown is $23

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Answer:

1/3=2/6  d is 2/6

Step-by-step explanation:

the probability that the coin is a dime or quarter is 0.388.

Sasha keeps a bag in her car for loose change. She knows her bag currently has 26 pennies, 18 nickels, 14 dimes, and 9 quarters. If she randomly selects a coin from the bag, To solve this problem, we need to find the total number of coins in the bag and the total number of dimes and quarters in the bag. Then, the probability of selecting a dime or quarter can be calculated by dividing the total number of dimes and quarters by the total number of coins in the bag. The total number of coins in the bag is:

26 + 18 + 14 + 9 = 67

coins The total number of dimes and quarters in the bag is:

14 + 9 = 23

coins Therefore, the probability of selecting a dime or quarter is:

23/67 ≈ 0.388So,

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Answer:

<1= 135 degrees

<4= 135 degrees

<6= 45 degrees

Step-by-step explanation:

This is because angle two and 6 are corresponding angles. you would then subtract 180 from 45 because angle 6 and 4 are consecutive angles. This would give you 135 degrees. Then angle 1 and angle 4 are verticla agles, making them equal to each other.

The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3

The volume of a solid, given by the function f(x), over an interval between a and b, is given by:

\(V = \pi \int\limits^a_b {f(x)^2} \, dx\)

To find the area, integrate around that area. We're revolving around the x-axis so the area will be a circle;

V = ∫A(x)dx =  ∫(πr²)dr

Then we subtract them from each others.

∫(πr₂² - πr₁²)dr

Now substitute the value and integrate;

∫(π(2)² - π(2x)²)dr

∫(4π - 4πx²)dr

4π∫(1 - x²)dr

Now integrate from 0 to 1 since that's where our boundary is.

V = 4π∫(1 - x²)dr = 8π/3

Therefore, The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3

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Answer:

18 pieces

Step-by-step explanation:

78 pieces to start with and she kept 24 to herself which means that she has 54 pieces of candy remaining. Assuming she gave an equal amount to each friend, the answer would be 54/3=18. So she gave 18 pieces to each friend.

Answer: 4/1

Step-by-step explanation:

Rise over run. Starting at 1 on the y axis this line moves up 4 and over (right) 1 before it hits 1 on the x axis.

\(v = \frac{4}{3} \times \pi \times ({ \frac{8}{2} })^{3} \\ \)

\(v = \frac{4}{3} \times 3 \times {4}^{3} \\ \)

\(v = {4}^{4} \)

\(v = {2}^{8} \)

\(v = 256 \: \: {cm}^{3} \)

Answer:

x = 9

Step-by-step explanation:

(7x + 7) + 60 = 13x + 13 (exterior angle)

7x + 67 = 13x + 13

6x = 54

x = 9

When constructing a frequency distribution for quantitative data, it is important to remember D. all of the above

A frequency histogram, or just histogram for short, is the graph of a frequency distribution for quantitative data. A histogram is a graph with the class boundaries on the horizontal axis and the frequencies on the vertical axis.

The different values and their frequencies are listed in a frequency distribution of qualitative data. We first divide the observations into Classes  in order to arrange the quantitative data, and we then treat the Classes as the individual values of the quantitative data.

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missing part;

A. classes are mutually exclusive

B. classes are collectively exhaustive

C. the total number of classes usually ranges from 5 to 20

D. all of the above

Step-by-step explanation:

\( {25}^{2} = {7}^{2} + {x}^{2} \\ {x}^{2} = {25}^{2} - {7}^{2} \\ {x}^{2} = 625 - 49 \\ x = \sqrt{576} = 24\)

Answer:

148

Step-by-step explanation:

180 - (25+7) = 148

A triangle's angle measurements HAVE TO add up to 180.

Answer:

option d is the correct answer

Answer: angleAOB = 40°

Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:

angleAOC = angleAOB + angleBOC

108 = 3x + 4 + 8x - 28

108 + 24 = 11x

11x = 132

x = 12

Knowing x, to find angleAOB, just substitute and calculate:

angleAOB = 3x+4

angleAOB = 3.12 + 4

angleAOB = 40°

The angle AOB is 40°.

Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we simplify the expression inside the parentheses:

4 + 2 = 6

Next, we square the result:

6² = 36

Now, we substitute the squared result back into the expression:

6(36) - 32

Next, we perform the multiplication:

6 * 36 = 216

Finally, we subtract 32:

216 - 32 = 184

Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.

The two angles formed by two coplanar lines and a transversal are Corresponding angles and alternate angles

You should know that two coplanar lines are two transversal lines that are bisect two parallel lines at two or more points

A line which bisects or intersects two or more coplanar lines at different places is a transversal line.  In this case:

1. Corresponding angles are angles that are in similar positions on the same side  of the transversal line

2. Alternate angles:  The alternate angles are angles that are on the opposite sides of the coplanar line and on top and bottom of the transversal lines respectively.

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Correct question

What are two angles that are formed by two coplanar lines and a transversal?

The graph of the exponential function is on the image at the end.

Here we want to graph the function:

f(x) = 0.5*(4)ˣ

To graph this (or any function) we can find some points on the function, and to do so, we need to evaluate it.

when x = 0:

f(0) =   0.5*(4)⁰ = 0.5

Then the point is (0, 0.5)

when x = 1

f(1) =   0.5*(4)¹ = 2

So we have the point (1, 2)

if x = 2

f(2) =   0.5*(4)² = 8

So we have the point (2, 8)

Now we can graph these points and connect them with a general exponential curve.

The graph of the exponential function is shown below.

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Answer:

Look at the image.

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

First, find the sides by looking at how many squares are filled. Using that you add to find the perimeter. (In this case, it was 8.5) Take the perimeter and multiply it by 2. Then you have your answer. (17.) If it was the other way around you would multiply by 1/2.

Answer: FIRST ONE IS -1/7

The second one is 1

Step-by-step explanation:

60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

According to the question,

We have the following information:

3 digits integers are to be made from 1,2,3,4 and 5

So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.

Now, we have:

Total number of digits = 5

Number of digits to be made = 3

So, we have:

\(^{5} P_{3}\)

Solving this expression:

5*4*3

60

Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

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A. The maximum height of the rock is 2624 feet, and it takes 8 seconds to reach this height.

B. The rock is in the air for 8 + 2√46 seconds before hitting the ground.

In this case, a = -16 and b = 256, so the time it takes for the rock to reach its maximum height is t = -256/(2*(-16)) = 8 seconds.

y = -16(8)² + 256(8) + 1680 = 2624 feet.

b. 0 = -16t² + 256t + 1680

Simplifying, we get:

t² - 16t - 105 = 0

Using the quadratic formula, we get:

t = (16 ± √(16² + 4(105)))/2 = (16 ± √736)/2 = (16 ± 4√46)/2 = 8 ± 2√46

Therefore, the rock is in the air for 8 + 2√46 seconds before hitting the ground.

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An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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