B
10 ft
с
6 ft
8 ft
D
A
15 ft
E
Find the area of figure ABCDE if angles A, B, and C are right angles.

The following actions are often part of the decision-making process' analysis phase:

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The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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The statement that describes the relationship is that There is an association because the relative frequencies by column are different.

What are relative frequencies?

It represents how the particular event arises within the overall number of observations. It is the frequency-time that used the percentage, fractions, and even proportions.

For checking the association of a two-way table we have to calculate the relative frequency of the table.

Here we see that there is an association between timing and day pf watching the movie.

Also here relative frequencies of both columns are similar.

Hence, Based on this, we can say that The statement that describes the relationship is that There is an association because the relative frequencies by column are different.

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The complete question is in the attached image.

Answer:

Step-by-step explanation: xxxdadyxxx12 snap

y

Answer:

D . 48

6*8=48

It would be right answer

Answer:

x = 95/3

Step-by-step explanation:

3x - 7 = 88

=> 3x = 88 + 7

=> 3x = 95

=> x = 95/3

Therefore x ≠ 3, x = 95/3

Answer:

B-2/4 and 1/2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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The graph that shows the linear relationship of the table is attached below.

To determine the graph of a linear relationship, do the following:

Given the table which represents a linear relationship above, use two pairs of values, (0, 0) and (2, 1) to find the slope:

Slope = change in y / change in x = (1 - 0) / (2 - 0)

Slope = 1/2.

The y-intercept (b) = 0.

Thus, this means that the graph of the linear relationship will have a slope of 1/2 and crosses the y-axis at 0.

Thus, the graph is shown below.

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Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x

1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x

2) The equation will be; y = ²/₃ +¹/₄x

1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;

The addition of both gives to the book thickness of;

1/4 + 1/4 = 1/2 inch, despite how many pages the book  has.

We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:

y = ¹/₂ + ¹/₄x

where;

y is the width of the book in inches.

x is every hundred pages printed on bond paper.

1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;

y = ¹/₂ + ²/₅x

2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;

y = 2(1/3) +¹/₄x

y = ²/₃ +¹/₄x

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Answer: 12

Step-by-step explanation:

Answer:

1 7/15

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

improper fraction: 22/15.

Answer:

The student forgot about the double angle identity.

Step-by-step explanation:

sin2x/cosx=2

This is the double angle identity

sin2x=2sin(x)cos(x)

(2sinxcosx)/cosx=2

2sinx=2

sinx=1

x=sin^-1(1)

x=90 degrees OR pi/4

This was my answer for the test and got full points :)

Step-by-step explanation:

Volume of a cylinder = pi r^2 h      diameter =1.5 ft so r = .75 ft

                                  pi * .75^2 * 25 = 44.18 ft^3

Find price (based on $ 12.09 /ft^3)

44.18 ft^3  *  $  12.09 /ft^3  = $ 534.12

Answer:

126.9° and 323.°1

Step-by-step explanation:

I'll use x instead of theta and you can replace it by theta

5 sin x + 3 = 0

5 sin x = - 3

Sin x = - 3/5

Key angle = sin¯¹ 3/5 = 36.8698

Sin negative, so we use the third and fourth quadrants

X = 90+36.8698, 360-36.8698

X = 126.8698, 323.1302

Theta = 126.9°, 323.°1

Answer:

8.25 minutes

Step-by-step explanation:

31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles

We are asked to find the probability of rolling an 8 on a cube.

Recall that a cube has 6 sides with the following numbers.

1, 2, 3, 4, 5, 6

Recall that the probability of an event is given by

For the given case,

Number of favorable outcomes = 0 (since there is no 8 on a cube)

Total number of outcomes = 6 (since there are a total of 6 sides)

Therefore, the probability of rolling an 8 on a cube is 0

The probability the coins will land with different sides showing should be 1/2.

Answer:

Angle between the two vectors is 135°

u•v = -12

Step-by-step explanation:

Given two vectors u = (4,0) and v = (-3,-3).

To find the angle between the two vectors we will use the formula for calculating the angle between two vectors as shown;

u•v = |u||v|cos theta

cos theta = u•v/|u||v|

theta = arccos  (u•v/|u||v|)

u•v = (4,0)•(-3,-3)

u•v = 4(-3)+0(-3)

u•v = -12

For |u| and |v|

|u| = √4²+0²

|u| = √16 = 4

|v| = √(-3)²+(-3)²

|v| = √9+9

|v| = √18

|v| = 3√2

|u||v| = 4×3√2 = 12√2

theta = arccos(-12/12√2)

theta = arccos(- 1/√2)

theta = -45°

Since cos is negative in the second quadrant, theta = 180-45°

theta = 135°

To get u•v using the formula u•v = |u||v|cos theta

Given |u||v| = 12√2 and theta = 135°

u•v = 12√2cos 135°

u•v = 12√2× -1/√2

u•v = -12√2/√2

u•v = -12

For the diagram of the vectors, find it in the attachment below.

Answer:

Check the graph below for the sketch.

\(\theta=135^{\circ}\)

Step-by-step explanation:

1) Let's organize the data from these Latex codes.

\(\vec{\mathbf{u}}=\left \langle 4,0 \right \rangle\:and\: \vec{\mathbf{v}}=\left \langle -3,-3 \right \rangle\)

2) Sketching them (Check below). Notice that we are going to use the coordinates of each vector.

3) To find the angle between the vectors, we need to remember the Theorem:

If there is an angle between two vectors a and b, then we can calculate its angle using this relation:

\(a*b=\left \| a \right \|\left \| b \right \|*cos\theta\)

3.1) Then we need the Dot product between u and v. The Dot product is going to give us a scalar value for a product between vectors.

We will also need the norm of each vector. The norm will tell us the length of each one.

\(\vec{u}*\vec{v}=\vec{u}*\vec{v}=4(-3)+0(-3)=-12\\\left \| u \right \|=\sqrt{4^2+0^2 }= \left \| u \right \|=4, \\\left \| v \right \|=\sqrt{(-3)^2+(-3)^2}, \left \| v \right \|=18=3\sqrt{2} \left\\\)  

3.2)

Now, we can plug these pieces of information from 3.1 and 3.2 and find the angle:  

\(cos\theta=\frac{uv}{\left \| u \right \|\left \| v \right \|}=\frac{4*-3+(0)(-3)}{12\sqrt{2} }=\frac{-12}{ 12\sqrt{2} }\\\theta=cos^{-1}(\frac{-12}{ 12\sqrt{2} })\rightarrow \theta\approx 135^{\circ}\)  

Answer:

Width: 22.53 in.

Length: 28.35 in.

Step-by-step explanation:

If the perimeter is 101.76 in, we can create an equation of 2l + 2w = 101.76 in (length is l, and width is w). We also have that the rectangular painting is 5.82 in taller than it is wide. We can create a new equation stating that l = w + 5.82. We can now substitute l for w + 5.82 into our original equation, 2l + 2w = 101.76, and we get 2(w + 5.82) + 2w = 101.76. Now simplify and get 4w + 11.64 = 101.76. Simplifying this the whole way, we get w = 22.53. Now plug this value of w back into the equation, l = w + 5.82, and we get l = 22.53 + 5.82 = 28.35. We now have width: 22.53 in. and length: 28.35 in.

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

When solving for the volume of the oblique cone, the segment that you would use to substitute in the formula for the volume is D. slant height and radius

A right angle is always present in a cone. To calculate the volume of a cone, we must first determine its radius and height. The radius of a cone is the line drawn from the center of the circle to the circle's edge. The height of the cone is measured from its pointy tip downward.

The axis of a right circular cone or regular cone is perpendicular to its base, whereas the axis of an oblique cone appears tilted and is not perpendicular to the base.

The following formula is used to calculate the volume of an oblique cone with height h, which is the distance from the apex to the base of the cone, and base radius r: (1/3)r²h = volume.

In conclusion, the correct option is D.

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Answer: x= -1

Step-by-step explanation: 6x = 2x-4 4x= -4 and x=-1

From the given statement the unknown number is found to be - 1

The given statements can written in algebraic form as follows;

the unknown number = x

the number  is multiplied by 6 = 6x

four less than twice the same number = 2x - 4

then, from the given statement the final equation equation becomes;

6x = 2x - 4

This unknown number can be solved by collecting similar terms together;

6x - 2x = -4

4x = -4

divide through by 4

\(\frac{4x}{4} = \frac{-4}{4} \\\\x = -1\)

Thus, the unknown number is - 1

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Answer:

5x^2 + x + 7.

Step-by-step explanation:

6x^2 + 7 + x - x^2

= (6x^2 - x^2) + (x + 7) // Rearranging the terms

= 5x^2 + x + 7

So, 6x^2 + 7 + x - x^2 simplifies to 5x^2 + x + 7.

The solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,

x = \(\sqrt{13}\) , -  \(\sqrt{13}\) , x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i .

Given equations ,

\(x^{2}\) + 81 = 0  ,\(x^{2}\)-22 = -26 , 3\(x^{2}\)-18=21 ,2\(x^{2}\) +15 = -13

What is Quadratic equation ?

quadratic equation can be defined as the equation which is in the form of a\(x^{2}\)+bx + c = 0 .

where a,b,c are constants .

By solving we get ,

\(x^{2}\) +81 = 0

\(x^{2}\) = -81

x = 9i , -9i

\(x^{2}\) - 22 = -26

\(x^{2}\) = -26 + 22

\(x^{2}\) = -4

x = 2i,-2i

3\(x^{2}\) - 18 = 21

3\(x^{2}\) = 18+21

3\(x^{2}\) = 39

\(x^{2}\) = 13

x = \(\sqrt{13}\) , -  \(\sqrt{13}\)

2\(x^{2}\) +15 = -13

2\(x^{2}\)  = -13-15

2\(x^{2}\)  = -28

\(x^{2}\)  = -14

x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i

Hence the solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,

x = \(\sqrt{13}\) , -  \(\sqrt{13}\) , x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i .

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The number of gallons is 4.1

From the information given, we have that;

1 gallon of paint is equivalent to 150 square feet

Since we have 2 doors, the area of a rectangular prism is

Area = lw

Area =20(15)

Area = 300 (2) = 600 ft²

For the window, we have;

Area = 3(5) = 15

The total area of the wall is;

Total area = 615 ft²

Then, if;

1 gallon = 150 square feet

x = 615  square feet

cross multiply

x = 4. 1 gallons

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Answer:

sweefe

Step-by-step explanation:

EFEFEEa