How many triangles can be drawn with side lengths of 6, 8, and 10 inches?

The distance from Mytown to Little Village is 350 miles.

The distance from Capital City to Little Village is 660 miles.

The distance  from Capital City to Mytown is 310 miles,

The distance from Mytown to Yourtown is 200 miles,

and from Yourtown to Little Village is 150 miles.

Assuming all the places are collinear,

The distance from Mytown to Little Village is

200 + 150   = 350 miles

Hence, The Mytown is 350 miles far from the Little Village

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Answer:

1. and 2. Reason) Given

3. Statement) Angle ABD is congruent to CBD

4.) BD is congruent to BD

5.) ΔDAB is congruent to ΔDCB due to SAS

Answer:

31.5576

Step-by-step explanation:

Answer:

2 blocks would be the correct answer

Answer:

I got 80, but Im not sure.

Step-by-step explanation:

Retail = Cost/(100% - Markup%)

Retail = 64/(100%-20%)

Retail = 64/80%

Retail = 64/.80= $80

Answer:

Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive

From the given options, it appears that option C, \( X = (\bar{A} \cdot \bar{B}) + (B \cdot C) \), best describes the action of the circuit based on the logical operations performed.

To determine which of the given Boolean equations describes the action of the circuit, let's analyze each equation step by step.

A. \( X = (\overline{A \cdot B}) + (B \cdot C) \)

In this equation, \( X \) is the output of the circuit. The first term, \( (\overline{A \cdot B}) \), represents the negation of the logical AND operation between \( A \) and \( B \). The second term, \( (B \cdot C) \), represents the logical AND operation between \( B \) and \( C \). The two terms are then summed using the logical OR operation.

B. \( X = (A \cdot B) \cdot (B + C) \)

In this equation, \( X \) is the output of the circuit. The first term, \( (A \cdot B) \), represents the logical AND operation between \( A \) and \( B \). The second term, \( (B + C) \), represents the logical OR operation between \( B \) and \( C \). The two terms are then multiplied using the logical AND operation.

C. \( X = (\bar{A} \cdot \bar{B}) + (B \cdot C) \)

In this equation, \( X \) is the output of the circuit. The first term, \( (\bar{A} \cdot \bar{B}) \), represents the negation of \( A \) ANDed with the negation of \( B \). The second term, \( (B \cdot C) \), represents the logical AND operation between \( B \) and \( C \). The two terms are then summed using the logical OR operation.

It's important to note that without additional context or a specific circuit diagram, we can't definitively determine the correct equation for the circuit. The given equations represent different logic configurations, and the correct equation would depend on the specific circuit design and desired behavior.

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Answer:

C. Drawing a line perpendicular to \(\overline{AC}\) through point \(B\)

Step-by-step explanation:

The triangles formed by the perpendicular can be proved congruent by HL, and thus \(\angle A \cong \angle C\) by CPCTC.

Answer:

Based on the question. D, would make the most sense.

Answer:

1/2

Step-by-step explanation:

y =  kx

where k is the constant of proportionality

y = 1/2 x  so k= 1/2

In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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The transformation which is reflection about the line y = x has shown in the picture with coordinates points,

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a triangle ABC shown in the picture with dimensions.

When reflected, the triangle ABC across the line y = x

The coordinates follow the transformation rule:

(x, y) → (y, x)

Thus, the transformation which is reflection about the line y = x has shown in the picture with coordinates points,

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The value of angle D and length of sides /FD/ and /FE/ in the right angle triangle below are 31°, 13.7 and 8.2 respectively.

A right angled triangle is a triangle in which one of the angles is 90°.

To calculate angle D in the right angle triangle, we use the formula below

Given:

Substitiute these values into equation 1

To calculate the length FD, we use the formula below

Given:

Substitute into equation 2

To calculate /FE/ use the formula below

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{2}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{2\implies \cfrac{2}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}\)

so we're really looking for the equation of a line with a slope of -1/2 and that it passes through (4 , 6)

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{- \cfrac{1}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y-6=- \cfrac{1}{2}x+2\implies {\Large \begin{array}{llll} y=- \cfrac{1}{2}x+8 \end{array}}\)

Answer:

6.5

Step-by-step explanation:

The partial derivatives  ∂f/∂r and ∂f/∂t of the function f(x,y)=(13x+3y)^6 where x=r^2 and y=rt are ∂f/∂r = 6 {( 13r^2 + 3rt)^5}(26r+3t) and ∂f/∂t =  [18r {( 13r^2 + 3rt)^5}] in terms of independent variables.

Rewriting the given function f(x,y)=(13x+3y)^6 in terms of  x=r^2 and y=rt we get,

f(r,t) = ( 13r^2 + 3rt)^6

Using Chain rule we can calculate the partial derivative of the function f or f(r,t) = ( 13r^2 + 3rt)^6 as,

∂f/∂r =  ∂{( 13r^2 + 3rt)^6}/∂r

⇒∂f/∂r = [6 {( 13r^2 + 3rt)^5}] {∂(13r^2 + 3rt )/∂r}

⇒∂f/∂r = [6 {( 13r^2 + 3rt)^5}] [13(2r) + {3t ( ∂r/∂r) + 3r(∂t/∂r)}]

⇒∂f/∂r = [6 {( 13r^2 + 3rt)^5}] [26r+ {3t(1) + 0}]

⇒∂f/∂r = 6 {( 13r^2 + 3rt)^5}(26r+3t)

Similarly,  ∂f/∂t= ∂{( 13r^2 + 3rt)^6}/∂t

⇒∂f/∂t = [6 {( 13r^2 + 3rt)^5}] {∂(13r^2 + 3rt )/∂t}

⇒∂f/∂t =  [6 {( 13r^2 + 3rt)^5}] [ {∂ 13r^2/∂t } + 3{∂ rt / ∂t}]

⇒∂f/∂t =  [6 {( 13r^2 + 3rt)^5}] [ 0+ 3{ r (∂t/∂t) + t (∂r/∂t)}]

⇒∂f/∂t =  [6 {( 13r^2 + 3rt)^5}] [ 0+ 3{ r+ t(0)}]

⇒∂f/∂t =  [6 {( 13r^2 + 3rt)^5}] [3r]
⇒∂f/∂t =  [18r {( 13r^2 + 3rt)^5}]

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Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

(x + 1/2)/y = 1/3

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

The equation of the circle x² + y² – 18x + 8y + 5 = 0 can be written as in the standard form is (x – 9)² + (y + 4)² = 92

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given below.

x² + y² – 18x + 8y + 5 = 0

Add and subtract 97, then we have

x² – 18x + y² + 8y + 97 – 97 + 5 = 0

x² – 18x + 81 + y² + 8y + 16 – 92 = 0

                        (x – 9)² + (y + 4)² = 92

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The point of intersection between the lines x + 2y = 2 and 5x + 2y = 10 is (2, 0). This was found by solving the system of equations using the elimination method.

To find the point of intersection between the two lines, we can solve the given system of equations:

Equation 1: x + 2y = 2

Equation 2: 5x + 2y = 10

We can solve this system of equations by using either the substitution method or the elimination method. Let's use the elimination method in this case.

Multiply Equation 1 by 5 to eliminate the y term:

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

5x + 10y = 10

Now, we have the following system of equations:

Equation 2: 5x + 2y = 10

Equation 3: 5x + 10y = 10

Subtract Equation 2 from Equation 3 to eliminate the x term:

(5x + 10y) - (5x + 2y) = 10 - 10

8y = 0

y = 0

Substitute y = 0 into Equation 1:

x + 2(0) = 2

x = 2

Therefore, the point of intersection between the two lines is (2, 0).

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To find the linear acceleration (a) of the point at the end of the rod, you can use the Pythagorean theorem by taking the square root of the sum of the point's tangential acceleration squared and radial acceleration squared.

The linear acceleration (a) of a point at the end of a rod can be decomposed into two components: tangential acceleration and radial acceleration.

Tangential acceleration is the component of acceleration along the tangent to the circular path. It represents how the magnitude of velocity is changing.

Radial acceleration, also known as centripetal acceleration, is the component of acceleration directed towards the center of the circular path. It represents the change in direction of velocity.

According to the Pythagorean theorem, the magnitude of the total acceleration (linear acceleration) can be found by taking the square root of the sum of the squares of tangential acceleration (at) and radial acceleration (ar):

a = √(at^2 + ar^2)

By calculating the tangential and radial accelerations, and then squaring them, you can find their respective magnitudes.

Finally, sum up the squared magnitudes of tangential and radial accelerations, and take the square root to find the linear acceleration (a) of the point at the end of the rod.

This approach allows you to consider both the change in magnitude and direction of velocity, providing a comprehensive understanding of the point's overall acceleration.

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Answer:

181 Square cm.

Step-by-step explanation:

(a) The value of the integral from 4 to 11 of f(x) is 46.

(b) The value of the integral from 11 to 4 of f(x) is -46.

(c) The value of the integral from 4 to 11 of (2f(x) + 3g(x)) is 94.

a)To find the value of the integral from 4 to 11 of f(x), we can use the given information and apply the fundamental theorem of calculus. Since we know the value of the integral from 1 to 4 of f(x) is 7 and the integral from 1 to 11 of f(x) is 53, we can subtract the two integrals to find the integral from 4 to 11. Therefore, \(\int\limits^{11}_4 {f(x)} \, dx\) = \(\int\limits^{11}_1 {f(x)} \, dx - \int\limits^4_1 {f(x)} \, dx\)= 53 - 7 = 46.

b)Similarly, to find the value of the integral from 11 to 4 of f(x), we can reverse the limits of integration. The integral from 11 to 4 is equal to the negative of the integral from 4 to 11. Hence,\(\int\limits^4_{11 }{f(x)} \, dx\) = \(-\int\limits^{11}_4 {f(x)} \, dx\) = -46.

c)To evaluate the integral of (2f(x) + 3g(x)) from 4 to 11, we can use the linearity property of integrals. We can split the integral into two separate integrals: \(2\int 4^{11} \(f(x))dx + 3\int4^{11 }g(x)dx\). Using the given information, we can substitute the known values and evaluate the integral. Therefore,     \(\int\limits^4_{11}\) (2f(x) + 3g(x))dx = \(2\int 4^{11} \(f(x))dx + 3\int4^{11 }g(x)dx\)= 2(46) + 3(9) = 92 + 27 = 119.

the integral from 4 to 11 of f(x) is 46, the integral from 11 to 4 of f(x) is -46, and the integral from 4 to 11 of (2f(x) + 3g(x)) is 119.

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Answer:

345.270

Step-by-step explanation:

i think that's right

Answer:

Step-by-step explanation:

underline the hundreth and then look at the place next to it and then if it is 5 or more then go to the next hundredth if it's less than 5 than the number stays the same

Answer:

x = -1/7

Decimal form = -0.14285714285

Step-by-step explanation:

\(6\left(4x+5\right)=3\left(x+8\right)+3\)

\(24x+30=3x+27\)

\(\mathrm{Subtract\:}30\mathrm{\:from\:both\:sides}\)

\(24x+30-30=3x+27-30\)

\(\mathrm{Simplify}\)

\(24x=3x-3\)

\(\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\)

\(24x-3x=3x-3-3x\)

\(\mathrm{Simplify}\)

\(21x=-3\)

\(\mathrm{Divide\:both\:sides\:by\:}21\)

\(\frac{21x}{21}=\frac{-3}{21}\)

\(x=-\frac{1}{7}\)

[RevyBreeze]

The page number on the right hand side is 73.

What is a Quadratic Equation?

A quadratic equation in x is any equation of the type ax2 + bx + c = 0, where a, b, and c are coefficients and a = 0.

Solution:

Let, the number of the page on the left hand side be x

So, the number on the right hand side of the book will be (x + 1)

According to the Question,

(x)(x + 1) = 6162

\(x^{2} + x = 6162\)

x = 72 and - 79

Since, the page of book can not be negative

Therefore, the page on the left hand side is 72

This implies that the page on the right hand side is 73.

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