Use the Angle Addition Postulate to find the measure of the unknown angle

Answer:0.81285714285

Step-by-step explanation: bc you are deviding by a desimal

The width of rectangle is 5 feet.

Let us assume the length of rectangle to be x. So, the width of rectangle will be (x - 3).

Now, as per the known fact, perimeter, length and width of rectangle are related by the formula -

Perimeter = 2 × (length + width)

Keep the values in formula to find the value of width

26 = 2 × (x + x - 3)

Performing addition of variables inside the bracket

26 = 2 × (2x - 3)

Shifting 2 to other side of equation to find the value of x

2x - 3 = [tex]\frac{26}{2}[/tex]

Performing division to find the value of x

2x - 3 = 13

Shifting 3 to other side of equation to find the value of x

2x = 13 + 3

Performing addition to find the value of x

2x = 16

Shifting 2 as denominator to other side of equation to find the value of x

x = [tex]\frac{16}{2}[/tex]

Performing division to find the value of x

x = 8

So, length of rectangle is 8 feet

Width of rectangle = x - 3

Width of rectangle = 8 - 3

Width of rectangle = 5 feet

Hence, the width of rectangle is 5 feet.

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Answer:

Step-by-step explanation:

We can start by solving for t using the fact that  [tex]cos(t) = \frac{2}{9}[/tex].

[tex]t = cos^{-1}(\frac{2}{9}) = 77.16\\[/tex]

then using that value of t solve for sin(t)

sin(t) = 0.975

As cos(t) is given and t is in the first quadrant then sin(t) will be equal to 8.77/9.

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the information in the question,

cos(t) = 2/9

As we know that cos θ = B/H

B = 2 and H = 9

Now, use Pythagoras's theorem,

H² = P² + B²

P² = 9² - 2²

P = √77

P = 8.77

We also know that sin θ = P/H

So, sin(t) = 8.77/9

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Answer:

174

Step-by-step explanation:

absolute value means the distance from zero.  Distance is always measured with a positive number.  If you asked me how far I lived from my work, I would never say -12 miles away.  If I was going or coming to work, the distance would be the same 12 miles.

134 + 4 + 35 = 174

Answer:

g = 2b - 17

Step-by-step explanation:

Girls = g

Boys = b

g = 2b - 17

The numeric values for the functions are given as follows:

6 - a) f(-2) = -13.

6 - b) g(4) = 11.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

At item 6a, the function is given by:

f(x) = 5x - 3.

The numeric value at x = -2 is:

f(-2) = 5(-2) - 3 = -10 -3 = -13.

Hence f(-2) = -13.

At item 6b, the function is given by:

g(x) = 0.5x² + 3.

The numeric value at x = 4 is:

g(4) = 0.5(4)² + 3 = 8 + 3 = 11.

Hence g(4) = 11.

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Answer:

The and is –6

Step-by-step explanation:

–2A= –2[0 , –6]

2B= 2[–8 , –1]

–2A= –2 [0 , +12]

2B= 2[–16 , –2]

–2A + 2B=[0 ,12] + [–16 ,–2]

=[0+(–16) + 12+(–2)]

=[0–16+12–2]

= –16+10

= –6.

Hope it was helpful

The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.

Given the 2 equations,

1)[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1

2)3x+4[tex]y^{2}[/tex]; for x=-3 and y=5

Equation 1

⇒[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1

⇒[tex](-2+5)^{2}[/tex]-1 {substituting x=-2 and y=1 }

⇒[tex]3^{2}[/tex]-1

⇒9-1

⇒8

Equation 2

⇒3x+4[tex]y^{2}[/tex]; for x=-3 and y=5

⇒3(-3)+4[tex](5)^{2}[/tex]  {substituting x=-3 and y=5 }

⇒-9+4(25)

⇒-9+100

⇒91

Therefore, The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.

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Jorge mowed 18 lawns.

Let the number of lawns mowed by Jorge =x

So according to the question

Number of lawns mowed by sandra = x/3

Number of lawns mowed by Danny =x/2

Number of lawns mowed by Valeria =16

sum of total lawns mowed = lawns mowed by Jorge + lawns mowed by sandra + lawns mowed by Danny + lawns mowed by Valeria.

[tex]x+\frac{x}{3} +\frac{x}{2} +16=49[/tex]

taking LCM as 6 and solving further we get

[tex]\frac{6x+2x+3x+96}{6} =49[/tex]

By cross Multiplying we get

11x+96=294

11x=198

Solving further for x,

x=198/11

x=18

Therefore,  the number of lawns mowed by Jorge is 18 .

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Answer:

hi loll

Step-by-step explanation:

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

[tex]x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}[/tex]

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

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Step-by-step explanation:

a is 5, b is 24, c is 2 and d is 2

The y-intercept of the given exponential function would be represents the initial value of the investment is $500 which is the correct option (B).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The given exponential function f(x) = 500(1.03)ˣ

Here x would be represented growth of the savings plan per year

To determine the y-intercept of the function

We have to substitute the value of x = 0 in the given function,

⇒ f(x) = 500(1.03)⁰

⇒ f(x) = 500(1)

⇒ f(x) = 500

Therefore, the y-intercept of the given exponential function would be represents the initial value of the investment is $500.

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Answer:

-4

Step-by-step explanation:

x is a variable, so to do g(2) you have to write g(x), but substitute 2 in place of x:

g(2) = 4*2² + 2*2 - 24 = 16 + 4 - 24 = -4

Walmart's EBIT for the year 2018 is $17,101.

To find Walmart's EBIT:

Therefore, Walmart's EBIT for the year 2018 is $17,101.

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The correct question is given below:

What is Walmart's EBIT for the year of 2018 (round it to 3 numbers after the decimal point -> 0.581)?

EBIT= net income (Listed as "Net IncomeAvail to Common, GAAP" in Statement) + net income attributable to noncontrolling interest ("Listed as Income Loss Incl. MI Minority Interest" on Statement) + income taxes + interest expense (Interest Expense Net + "Interest Income" from the Statement ) (A financial statement would be provided).

In step 1 mistake has been made because negative multiplication gives a positive result but is written negative.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given that,

−4(6−y) + 4 = −4

By using distribution property

-24 + 4y + 4 = -4

But in the question +4y is written as -4y which is wrong.

Hence In step 1 negative multiplication gives a positive result but is written negative so in step 1 mistake has been made".

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The given question is not complete.

Consider this solution to a problem.

Problem: −4(6−y)+4=−4

Step 1: −24−4y+4=−4

Step 2: −20−4y=−4

Step 3: −4y=16

Step 4: y=−4

In the first response box, enter the number of the step where the mistake is made.

Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected.

Simple random sampling can be defined as the process of studying about large population by taking a small subset/sample.

In this method there is equal chance of every member of population to get selected.

According to the question there is equal chance for every student to get selected by Doctor smith.

Therefore , Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected by Doctor smith.

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Answer:

not sure what you were asking, but its 15 cups of purple paint

Answer: y=0.5x+0.5

Step-by-step explanation:

[tex]\displaystyle\\(1,1)\ \ \ \ (-3,-1)\\\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }\\\\x_1=1\ \ \ \ x_2=-3\ \ \ \ y_1=1\ \ \ \ y_2=-1\\\\\frac{x-1}{-3-1}=\frac{y-1}{-1-1} \\\\\frac{x-1}{-4}=\frac{y-1}{-2} \\[/tex]

Multiply both parts of the equation by -2:

[tex]\displaystyle\\\frac{x-1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2}+1 =y-1+1\\\\\frac{x}{2}+\frac{1}{2} =y \\[/tex]

Thus,

y=0.5x+0.5

Answer:

The length is 225 yd, and the width is 175 yd.

Step-by-step explanation:

Let w = width.

Then the length = w + 50.

perimeter = 2(length + width)

800 = 2(w + 50 + w)

400 = 2w + 50

2w = 350

w = 175

w + 50 = 225

The length is 225 yd, and the width is 175 yd.

Answer:

225 * 175 yards,

Step-by-step explanation:

If the width is x then the length is x+50.

Perimeter = 2(width + length)

800 = 2( x + x + 50)

2x + 50 = 400

2x = 350

x = 175

So, the width is 175 yd and length is 225yd.

The points Y and Z after transition are (-4,-2) and (-2,4)

In this case, we are required to find x' and y' to find the direction of transition

x' =x coordinate of point 2 - x coordinate of point 1

   = 0-2 = -2

y'= y coordinate of point 2 - y coordinate of point 1

   =4-2 = 2

Now we are required to  subtract these transition from the points given,

Transition of point Y = (-2-2 ,0-2)  =(-4,-2)

Transition of point Z =(0-2,6-2)  = (-2,4)

Hence the points after transition are  Y as(-4,-2) and Z as (-2,4)

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Answer: 1

Step-by-step explanation:

How big is the table? 1 table can fit all 17 people if the table is big enough.

Answer: 36

Step-by-step explanation:

First you plot down all the factors of 180.*

*180 1, 90 2, 60 3, etc.

Then you do the same for 504.*

*504 1, 252 2, etc.

Once you do that you look through and find the common factor, and you'll find that 180/5=36, and 504/14=36, finding you your GCF.

Answer:

Step-by-step explanation:

Answer:

The surface area is the sum of all the faces (or surfaces) of a 3D shape. Composite figures are 2 figures put together. (There is an example of a composite figure below) You find an area of both shapes and then add them together, to find the area of the full figure.

Step-by-step explanation:

Answer:

[tex]x=4,\:x=-\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]x\left(2x-5\right)[/tex]

Apply the distributive law.

[tex]=x\cdot \:2x-x\cdot \:5[/tex]
[tex]=2x^2-5x[/tex]
[tex]2x^2-5x=12[/tex]
Subtract 12 from both sides.
[tex]2x^2-5x-12=12-12[/tex]
[tex]2x^2-5x-12=0[/tex]
Now, apply the quadratic formula.
[tex]x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-12\right)}}{2\cdot \:2}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-5\right)\pm \:11}{2\cdot \:2}[/tex]
Separate the solutions.
[tex]x_1=\frac{-\left(-5\right)+11}{2\cdot \:2},\:x_2=\frac{-\left(-5\right)-11}{2\cdot \:2}[/tex]
Simplify.
[tex]x=4,\:x=-\frac{3}{2}[/tex]

The value of the radius r is 9.35 cm.

The dimensions of the triangular prism is 62 cm × 62 cm × 85 cm.

The volume of the prism will be:

Volume = (1/2) × 62 × 62 × 85

Volume = 163370 cm³

Now,

The volume of solid removed: The volume of remaining solid = 1 : 6

Therefore,

The solid removed = ( 1 / 7 ) of the total volume

Solid removed = ( 1 / 7 ) × 163370

Solid removed = 23338.57 cm³ which is the volume of the cylindrical hole.

Now, the volume of the cylinder is:

V = π (r)² h

23338.57 = π (r)² × (85)

23338.57 = (3.142) × (r)² × (85)

23338.57 = 267.1 r²

r² = 87.38

r = √(87.38)

r = 9.35 cm

The surface area of the triangular prism:

A = (1/2) (b) (h)

A = (1/2) (85)(62)

A = 2653 cm²

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Answer:

x + 2x - 3 = 26

Step-by-step explanation:

Define the variables:

If Maya's car is 3 inches less than 2 times the length of Nate's car, then:

⇒ y = 2x - 3

If the sum of the lengths of both cars is 26 inches, then:

⇒ x + y = 26

Substitute the found expression for y into the equation:

⇒ x + y = 26

⇒ x + (2x - 3) = 26

⇒ x + 2x - 3 = 26

Therefore, the equation to determine the lengths of Nate'a and Maya's cars is:

[tex]\boxed{x + 2x - 3 = 26}[/tex]

Solving the equation for x

⇒ x + 2x - 3 = 26

⇒ 3x - 3 = 26

⇒ 3x - 3 + 3 = 26 + 3

⇒ 3x = 29

⇒ 3x ÷ 3 = 29 ÷ 3

⇒ x = 9.7 in (nearest tenth)

Therefore, Nate's car is 9.7 in (nearest tenth).

To find the length of Maya's car, subtract the length of Nate's car from 26:

⇒ 26 - 9.7 = 16.3 in (nearest tenth).

Therefore, Maya's car is 16.3 in (nearest tenth).

Answer:

d) x + 2x - 3 = 26

Step-by-step explanation:

Given that,

→ Maya's car is 3 inches less than 2 times the length of Nate's car.

→ The sum of the lengths of both cars is 26 inches.

Now the equation will be,

→ x - 3 + 2x = 26

→ x + 2x - 3 = 26

→ 3x = 29

Hence, option (d) is correct answer.