What is a name for the marked angle?

To perform this and any other construction in math, you need to use the right tools which include a compass, your drawing board or paper, and a clear understanding of the instruction.

A key to getting the shape and angles of any construction includes knowing what is required of you and implementing these in your construction. In the second slide, you are told to use the segment tool to create segment AB. This tool will be a scale and the measurement will be that of a  line AB.

Next, identify the radius of the circle. This is the point from the center of the circle to any line on the circle. Understanding the instructions is key to bisecting the segment and completing the other activities.

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The number of cars that pass through the intersection between 6 am and 10 am is 4800.

To find the number of cars that pass through the intersection between 6 am and 10 am, we need to integrate the traffic flow rate function r(t) over the interval [0,4].

Integrating r(t) with respect to t, we get:

∫(400+ 600t - 150t²)dt = 400t + 300t² - 50t³ + C

where C is the constant of integration.

Evaluating this expression between t=0 and t=4 (since we are interested in the interval between 6 am and 10 am), we get:

(400(4) + 300(4)² - 50(4)³) - (400(0) + 300(0)² - 50(0)³) = 4800 cars

In summary, we can find the number of cars that pass through an intersection between two specific times by integrating the traffic flow rate function over that interval.

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The measure of the third angle in an isosceles triangle can be expressed using the expression of option c. 180° - 2(65°).

In an isosceles triangle,

Measure of the base angles is equal to 65°.

Let us consider the measure of the third angle in an isosceles triangle is equal to x degrees.

The two base angles are congruent.

Since each base angle measures 65°, the sum of the base angles is.

65° + 65° = 130°

The sum of the angles in any triangle is 180°.

This implies,

The measure of the third angle in the isosceles triangle is equal to,

x° + 130° = 180°

⇒ x° = 180° - 130°

⇒ x° = 50°

Therefore, the correct expression to calculate the measure of the third angle in an isosceles triangle is option (c) 180° - 2(65°).

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The above question is incomplete, the complete question is:

In an isosceles triangle, the base angles measure 65°. Which of the following expressions is a way to calculate the measure of the third angle?​

a. 180° - 65°

b. 180°+ 65°

c. 180° - 2(65°)

d. 180° + 2( 65°)

Answer: A

Step-by-step explanation:

To simplify 3w-4-w-9, we need to combine the like terms (terms that have the same variable and exponent).

3w - w = 2w

-4 - (-9) = -4 + 9 = 5

So,

3w - 4 - w - 9 = 2w - 13

Therefore, the expression 3w-4-w-9 is equivalent to 2w-13, which is option A.

The volume of the cube shown can be found to be 132. 65 inch ³ .

To ascertain the volume of a cube , knowledge of one edge's length is mandatory . This side would correspond to all other sides; therefore , multiplying it by three inversely gauges its complete space as a cubic structure.

The formula for the volume of a cube is:

= Side x Side x Side

The side is 5. 1 inch so the volume is:

= 5. 1 x 5 .1  x 5. 1

= 132. 65 inch ³

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Answer:

<ABC + <CBD =180⁰

<ABC =180⁰ - <CBD

<ABC =180⁰ - 47⁰

<ABC =133⁰

Answer: 599.7 square miles

Step-by-step explanation: Divide 2,099,451 by 3501 and then round to the nearest tenth.

Answer:

LCM of 4 and 5 is 20.

a/b = 3/4 = 15/20

b/c = 5/6 = 20/24

a:b:c = 15:20:24

Answer:

-2.67, -2.43, 2.045, 2.56

Step-by-step explanation:

First, we can convert -2 2/3 to a decimal by dividing 2 by 3 and subtracting the result from -2, which gives us:

-2 2/3 = -2.67

Next, we can convert 2 5/9 to a decimal by dividing 5 by 9 and adding the result to 2, which gives us:

2 5/9 = 2.56

So, the ordered list is:

-2.67, -2.43, 2.045, 2.56

Multiplicative inverse of given expression is 9/5.

The given expression,

-4/9 + (2/5 + 3/5)

Simplify it,

⇒ -4/9 + (2+3)/5

⇒ -4/9 + 5/5

⇒ -4/9 + 1

⇒ (-4 + 9)/9

⇒ 5/9

So its multiplicative inverse =  1/(5/9) = 9/5

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Answer:

  -9 11/12

Step-by-step explanation:

You want the product of 2 5/6 and -3 2/4.

The product of mixed numbers is often most easily computed by rewriting them to improper fractions.

  (2 5/6)(-3 2/4) = (17/6)(-7/2) = -(17·7)/(6·2) = -119/12

  = -(108/12 +11/12)

  = -9 11/12

__

Additional comment

Your calculator can probably help you with this.

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Answer:

The best choice is:

Circular-flow model

The circular-flow model demonstrates how consumer demand and production supply influence each other in a market economy. Some key points:

• Consumers demand goods and services by spending money (aggregate demand). This drives production.

• Producers supply goods and services to meet demand (aggregate supply). But supply depends on and influences demand.

• There is a continuous flow and feedback loop between consumers, producers, and the money/resources flowing between them.

The circular-flow model highlights this interconnectedness and interdependence. It shows how consumer spending drives production, which in turn enables more consumer spending, and so on. Changes in demand, supply, spending or consumption ripple through the economy.

The other choices do not accurately represent this relationship:

• Assembly line - Focuses on supply-side production process, not the demand-supply feedback loop.

• Downward spiral - Implies a negative, self-defeating cycle rather than the mutually supporting feedback in the circular-flow model.

• Flow chart - Too generic. A flow chart could represent any process, not specifically the demand-supply relationship.

So in summary, the circular-flow model is the best choice as it demonstrates the way consumer demand and producer supply interact with and influence each other in a free market system. The circular flow of money, resources, supply and demand relies on this interconnection.

Does this help explain the circular-flow model and why it is the best choice? Let me know if you have any other questions!

Step-by-step explanation:

Answer:

(10, 5π/3)

Step-by-step explanation:

To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the given values, we get:

r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10

θ = arctan((-5√3)/5) = arctan(-√3) = -π/3

Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:

θ = -π/3 + 2π = (5π/3)

Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).

Answer:

2(1/2)(3)(4) + 12(3) + 12(4) + 12(5)

= 12 + 36 + 48 + 60 = 156 cm^2

C is the correct answer.

Answer:

a³ = -357911/5832.

Step-by-step explanation:

We can use the given equation to find the value of n, and then use it to find the value of a³.

a¹ = 13 and a = ⁿ⁻¹ - 4

Substituting the value of a in terms of n in the first equation, we get:

ⁿ⁻¹ - 4 = 13

ⁿ⁻¹ = 13 + 4

ⁿ⁻¹ = 17

ⁿ = 18

Now, substituting the value of n in the equation a = ⁿ⁻¹ - 4, we get:

a = 18⁻¹ - 4

a = 1/18 - 4

a = -71/18

Finally, to find a³, we can cube the value of a:

a³ = (-71/18)³

a³ = -357911/5832

Therefore, a³ = -357911/5832.

Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

Answer:

Lana has completed 22 out of 32 puzzles in her book. To find the percentage of the puzzle she has completed, divide the number of puzzles she has completed by the total number of puzzles in the book and multiply by 100.

22/32 x 100 = 68.75%

Lana has completed 68.75% of the puzzles in her book.

Answer:

Lana has completed 68.75% of the puzzles in her puzzle book.

Step-by-step explanation:

Lana has completed a total of 22 puzzles and there are 10 puzzles remaining, so the total number of puzzles in the book is:22 + 10 = 32To find the percentage of puzzles Lana has completed, we can use the following formula:percentage = (completed puzzles / total puzzles) x 100%Substituting the values, we get:percentage = (22 / 32) x 100%

percentage = 0.6875 x 100%

percentage = 68.75%Therefore, Lana has completed 68.75% of the puzzles in her puzzle book.

The vector addition of vector a = < 4, - 3 > and b = < - 1, - 2 > is given by,

a + b = < 3, -5 >

The graph of the vector sum is given below.

The addition of vectors suggests the addition of the corresponding components of the involving vectors.

Given the vectors are:

a = < 4, - 3 >

b = < - 1, - 2 >

So doing vector addition we get,

a + b = < 4, - 3 > + < - 1, - 2 > = < (4 + (-1)), (-3+(-2)) > = < (4 - 1), (-3 -2) > = < 3, -5>

Head to tail method is a method to draw vector addition, where the initial point of a vector involved in vector addition is started from tail point of another vector involved in vector addition.

Using vector tool we draw the vector addition of given vectors 'a' and 'b' we get,

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Answer: Look at the image below

Step-by-step explanation: I took the test.

Step 1: Select Vector

Step 2: Click on (0, 0), then click on (4, -3); (for every point your going to have to click on where you start then where you want to go.)

Step 3: Click on (4, -3), then (3, -5). Why?: ((4 - 1), (-3 - 2)) = (3, -5)

Step 4: To complete the problem and thus completing the "head to tail" method, you need to click on the origin (0,0) and finally click on (3, -5)

Your answer should now look like mine, now go get that A.

Answer:

Do whatever you want, but paying attention would really help you.

Step-by-step explanation:

If you find yourself bored in class, consider the following options to make the most of your time and stay engaged:

1. Actively participate: Ask questions, contribute to discussions, and try to engage with the material. Active participation can make the class more interesting and help you retain the information better.

2. Take notes: Focus on taking detailed notes, even if you think you understand the material. This will help you stay engaged and make it easier to review the content later.

3. Find connections: Try to relate the class material to your interests or real-world applications. This can make the content more engaging and relevant.

4. Set learning goals: Set specific learning objectives for each class, and try to achieve them during the session. This can help you stay focused and motivated.

5. Practice active listening: Pay attention to the teacher and try to understand the main points they are making. This can help you stay focused and better comprehend the material.

6. Break down the material: Divide the content into smaller chunks and focus on understanding each part. This can make the material more manageable and engaging.

7. Speak with your teacher: If you're consistently bored in class, consider discussing your concerns with your teacher. They may be able to offer suggestions or modify their teaching approach to better suit your learning style.

Remember, it's essential to stay engaged in class to maximize your learning experience and make the most of your education.

Answer:

watch RUN BTS EPISODE simple

Answer:

C = 45

AC = 1

BC = 2

Step-by-step explanation:

C: 180 - (90 + 45) = 45

AC: Because the angles are the same, it is equal to the other leg, 1 cm

BC: a^2 + b^2 = c^2, so 1 + 1 = 2

[tex] {( \frac{9}{4} )}^{3} [/tex]

=

[tex] \frac{729}{64} [/tex]

Answer: 11 25/64

Step-by-step explanation: 2 1/4 x 2 1/4= 5 1/16 x 2 1/4 = 11 25/64

[tex] {(3x + 7)}^{2} - ((2x + 5) \times x) [/tex]

[tex] = 7 {x}^{2} - 5x + 49[/tex]

Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x

The function f(x) = 12/x + 1/2 is given. To find f(3), we substitute x=3 in the function expression and simplify: f(3) = 12/3 + 1/2 = 4 + 0.5 = 4.5. Therefore, the value of the function f at x=3 is 4.5.

To find f(3) for the function f(x) = 12/x + 1/2. Start with the given function f(x) = 12/x + 1/2. Replace x with 3: f(3) = 12/3 + 1/2. Simplify the first term: 12/3 = 4

Add the two terms: f(3) = 4 + 1/2

Convert the mixed number to an improper fraction: 4 + 1/2 = 8/2 + 1/2 = 9/2

Simplify the fraction: 9/2 = 4 1/2

So, f(3) = 4 1/2 or 9/2, depending on the desired form of the answer.

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The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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Answer:

  (d)  A'(5, -1)

Step-by-step explanation:

You want the coordinates of A(1, 5) after it has been rotated 270° CCW about the origin.

The transformation for rotation 270° CCW is the same as that for rotation 90° CW:

  (x, y) ⇒ (y, -x)

For the given point, this is ...

  A(1, 5) ⇒ A'(5, -1)

The image of A is A'(5, -1), choice D.

Answer:

Here's how to graph the piecewise function:

First, we graph the function for the first interval, which is f(x) = 3x - 5 when x ≤ -1. This is a straight line with a slope of 3 and a y-intercept of -5. Since this interval includes -1, we draw a closed circle at x = -1 to indicate that it is included in the interval. The line is decreasing as x increases.

Next, we graph the function for the second interval, which is f(x) = -2x + 3 when -1 < x < 4. This is also a straight line, but with a slope of -2 and a y-intercept of 3. Since this interval does not include -1, we draw an open circle at x = -1 to indicate that it is not included in the interval. We also draw an open circle at x = 4 to indicate that it is not included in the interval. The line is increasing as x increases.

Finally, we graph the function for the third interval, which is f(x) = 2 when x ≥ 4. This is a horizontal line at y = 2. Since this interval includes 4, we draw a closed circle at x = 4 to indicate that it is included in the interval.

When we put all three intervals together, we get a graph that looks like this:

```

         |         /

  2      |        /

         |       /

         |      /

         |     /

         |    /

         |   /

         |  /

         | /

         |/

  _______|_____________

         -1   4

```

The graph consists of a downward-sloping line from (-∞, -1], an upward-sloping line from (-1, 4), and a horizontal line from [4, ∞).

The equation of the circle graphed is (x + 4)^2 + (y + 5)^2 = 16

From the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

Center = (a, b) = (-4, -5)

Radius, r = 4 units

The equation of the circle graphed is represented as

(x - a)^2 + (y - b)^2 = r^2

So, we have

(x + 4)^2 + (y + 5)^2 = 4^2

Evaluate

(x + 4)^2 + (y + 5)^2 = 16

Hence, the equation is (x + 4)^2 + (y + 5)^2 = 16

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Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.