4. Solve The Triangle Using Either Law Of Cosines Or Law Of Sines. In DEF, F=25, E=8 And MF=131.AngleD= (2024)

Answer:

9(5 - y)

Step-by-step explanation:

9(?) → Nine times

(? - ?) → the difference

Nine times the difference of → 9(? - ?)

The difference of 5 and y → (5 - y)

Nine times the difference of 5 and y → 9(5 - y)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Required answer:

9(5 - y)

Detailed explanation:

If we have the difference of two numbers, then we're subtracting these numbers. In this case, the numbers are 5 and y:

[tex]\sf{5-y}[/tex]

Next, we multiply 9 times the difference, so we put 5 - y in parentheses:

[tex]\sf{9(5-y)}[/tex]

[tex]\hrulefill[/tex]

Have a wonderful day!

Answer:

Step-by-step explanation:

640 - 10x^2 = (4x-10)(160 + 4x)

The factors of 640-10x^2 are (4x-10) and (160 + 4x).

The salesman needs to sell $25937.5 to reach his needed monthly income needs.

What is commission?

Commission, also known as sales commission, is a payment given to employees based on the sales they make.

Given that, A local salesman receives a base salary of $925 monthly. He also receives a commission of 8% on all sales over $1250.

Monthly salary = fixed part + commission part

The fixed salary is $925.

The commission part is 8% on all sales over $1250

Let x = amount of sales, and x must be greater than $1250.

Then, the amount of sales over $1250 is x - 1250.

He earns 8% on that amount, so the commission part is 8%(x - 1250),

or 0.08(x - 1250).

Monthly salary = fixed part + commission part

Monthly salary = 925 + 0.08(x - 1250)

925 + 0.08(x - 1250) = 2900

0.08x = 2075

x = 25937.5

Therefore, he needs to sell $25937.5.

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Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

The perimeter of Triangle ABC, given the triangle in drawn in the graph, would be 40 .54 units .

How to find the perimeter ?

To find the perimeter of the triangle , you first need to find the lengths of the sides of the triangle .

The lengths would be the distance between the points A , B , and C .

The vertices are : A ( - 1 , - 8) , B ( -4 , 6 ) and C ( 4 , 9 ) .

The distance between the points can be found by the formula:

= √(( x₂ – x₁ )² + ( y₂ – y₁) ²)

The distance between AB is 14.3 units

The distance between BC is 8. 54 units.

The distance between AC is 17.7 units.

The perimeter is:

= 14.3 + 8. 54 + 17. 7

= 40 .54 units

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Answer:

14

Step-by-step explanation:

Basically, x is substituted by 10.

So if you plug that into the function, you would get

[tex]f(10)=2(10)-6[/tex]

Simplify it and you get

[tex]f(10)=14[/tex]

Subtract 7 from both sides. Subtract 7 from 23 to get 16. Divide both sides by 4. Divide 16 by 4 to get 4.

What Is Angle Congruence’s Symmetric Property?

According to the symmetric property, if one geometric form is congruent to another, the second shape is likewise congruent to the first. The symmetric property of congruence states that for all angles A and B, if AB A B then BA B A.Transitive Property of Congruence. “If two shapes are congruent to the third shape, then all the shapes are congruent to each other,” asserts the transitive property of congruence.

We can solve an equation by applying the four equality properties: addition, subtraction, multiplication, and division. To get the value of an unknown variable, we simply add, subtract, multiply, or divide both sides of an equation.

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Answer:

a) Yes

The experienced person costs more per hour, but also increases sales per customer. To determine if it is more cost-effective to hire the experienced person, you would need to calculate the net gain or loss from hiring them.

You can do this by multiplying the increase in sales per customer by the number of customers per hour, and comparing that to the difference in hourly wages.

(12 customers/hour * $3/customer) - ($19/hour - $13/hour) = $36/hour - $6/hour = $30/hour

Since the net gain is positive, it is more cost-effective to hire the experienced person.

The correct statements about the graph are given as follows:

The ratio of the rise to the run of each triangle is the same. The smaller triangle and the larger triangle shown are similar.The slope of the line is of -2.

What are the rise and the run of a graph?

The rise and the run of a graph are defined as follows:

Rise: change in the output, that is, the change in y.Run: change in the input, that is, the change in x.

The slope of a line is given by the change in y divided by the change in x, hence it's equation is given as follows:

Slope = Rise/Run.

For the first triangle, the rise and the run are given as follows:

Rise = -6.Run = 3.

Hence the slope is of:

Slope = -6/3 = -2.

For the second triangle, the rise and the run are given as follows:

Rise = -2.Run = 1.

Hence the slope is of:

Slope = -2/1 = -2.

As the ratios are the same, the triangles are similar, the line has a slope of -2, and the corresponding sides are proportional.

Missing Information

The graph is given by the image presented at the end of the answer.

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the answer is there

60 students so. my brainly is glitchng sorry

The vertex form of the parabola is y + 1 = - 4 · (x + 1)².

How to determine the vertex form of the equation of a parabola

Graphically speaking, parabolae can be generated by quadratic equations, whose forms are described below: (Please notice that the parabola described by statement is parallel to y-axis since axis of symmetry is a vertical line)

Standard form

y = a · x² + b · x + c

Vertex form

y - k = C · (x - h)²

Where:

x - Independent variabley - Dependent variablea, b, c - Real coefficient(h, k) - Coordinates of the vertex.

If we know that h = - 1, k = - 1 and (x, y) = (0, - 5), then the equation of the parabola in vertex form is:

C = (y - k) / (x - h)²

C = (- 5 + 1) / (0 + 1)²

C = - 4 / 1²

C = - 4

The equation of the parabola in vertex form is equal to y + 1 = - 4 · (x + 1)².

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Answer:

Step-by-step explanation:

Answer:

0.5 is the answer

Step-by-step explanation:

2 clearly cannot be divided by 4

So what we have to do is put a 0 over the 2 and a decimal in the place after the 2 and bring down a 0 making it 20÷4=5

Don't forget the decimal point that was necessary to create the 20

That makes the answer 0.5

Answer: -1/2

Explanation:

First we solve for y.

x + 2y = -14

2y = -14 - x

2y = -x - 14

y = (-x - 14)/2

y = -x/2 - 14/2

y = (-1/2)x - 7

The equation is in slope intercept form y = mx+b

m = -1/2 = slopeb = -7 = y intercept

Parallel lines have equal slopes, but different y intercepts. This means the slope of any line parallel to this given one will have a slope of -1/2

For example, y = (-1/2)x + 10 is parallel to y = (-1/2)x - 7, since both have the same slope of -1/2 but different y intercepts.

Answer:

C{-3,-2.5}

Step-by-step explanation:

Brainliest pls

Answer: y = 15

Step-by-step explanation:

Subtract both sides by 3

3 + y = 18

y = 15

Value of R = 1.72×10¹¹ meter

The correct option is B.

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given, expression

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{(6.71×10⁻¹²)² - (3.36×10⁻¹²)²}]

R = √[1/{4.50×10⁻²³ - 1.13 × 10⁻²³}]

R = √[1/3.37×10⁻²³]

R = √2.97×10²²

R = 1.72×10¹¹ meter

Hence, 1.72×10¹¹ meter is value of R.

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Complete question is here;

The solution of the given differential initial value problem is

y(x) = {e^(4x + 4c{1}) - 5}/{{e^(4x + 4c{1}) - 1}

What is initial value problem?

In multivariable calculus, an initial value problem is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain.

Given is the initial value problem -

y' = y² - 6y + 5

We can write the -

y' = y² - 6y + 5

Dividing both sides by {y² - 6y + 5}, we get -

y'/y² - 6y + 5 = 1

Integrating -

∫(y'/y² - 6y + 5) dx = ∫1 dx

- 1/4 log(1 - y) + 1/4 log (5 - y) = x + c{1}

Solving for y{x}, we can write -

y(x) = {e^(4x + 4c{1}) - 5}/{{e^(4x + 4c{1}) - 1}

The given differential equation can be solved and written as -

y(x) = {e^(4x + 4c{1}) - 5}/{{e^(4x + 4c{1}) - 1}

Therefore, the solution of the given differential initial value problem is

y(x) = {e^(4x + 4c{1}) - 5}/{{e^(4x + 4c{1}) - 1}.

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The company should create 1 unit of production in Plant 1 in order to optimize its earnings.

Identify the optimal number of units to produce in order to maximize annual profit ?

The company should create 1 unit of production in Plant 1 in order to optimize its earnings.

Any extra unit above one in Plant 1 would reduce the demand for the firm's goods, which is determined by

P = 78 – 15 Q, where Q = Q1 + Q2.

For instance, the company will generate four units in Q2 if it produced two units in Q1.

The negative demand for the firm's goods will range from 33 units

(78 - 15 x 3, where Q = 3) to -12 units (78 - 15 x 6, where Q = 6),

depending on the production output.

The output of the company at Plant 1 (Q1) that maximizes its earnings is therefore 1.

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The quadratic equation for the given roots is x²-2x-1=0. Therefore, option 4 is the correct answer.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The roots of the quadratic equation are 1±√2.

Here, x=1+√2 and x=1-√2

x-1-√2=0 and x-1+√2=0

Now, (x-1-√2)(x-1+√2)=0

= x(x-1+√2)-1(x-1+√2)-√2(x-1+√2)=0

= x²-x+√2x-x+1-√2-√2x+√2-2=0

= x²-2x-1=0

Therefore, option 4 is the correct answer.

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Answer:

1

Step-by-step explanation:

(-1,2) and (2,6)

d=√[2-(-1)] ^+ [2-6]^

d=√3+(-4)^

d=√-1^

d=1

The type of relationship shown on the graph that depicts Edward's exam scripts is a Linear relationship.

What is a linear relationship ?

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Both a graphical representation of a linear relationship, in which the variable and constant are connected by a straight line, and a mathematical representation, in which the dependent variable is determined by multiplying the independent variable by the slope coefficient and a constant.

Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Edward's cost per math paper 1 or math paper 2 script marked will change depending on the type of paper and the number of papers. This simply means that Edward's charges are increasing per paper marked which is shown a linear relationship in the attached graph.

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The geometric shape formed is a rhombus.

What is quadrilateral?

A quadrilateral is a four-sided shape enclosed shape, where the sum of the internal angle is 180°.

Here,
It is mentioned in the question, we have to construct a quadrilateral with two pairs of parallel sides and two angles measuring 125°.
So, the construction of a quadrilateral is shown.
As seen in the figure, the figure is of a rhombus.

Thus, the geometric shape formed is a rhombus.

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Answer:

Step-by-step explanation:

200 x 115.5/8 = $23,100.00

Answer: it should be 946, maybe you worded Wong

Step-by-step explanation:

o obtain an estimate for the computation 348 + 598, we can round the two numbers to the nearest ten.

348 rounded to the nearest ten is 350

598 rounded to the nearest ten is 600

So, our estimate for the sum of 348 + 598 is 350 + 600 = 950

Using a calculator, the actual computation is 348 + 598 = 946

Our estimate of 950 is 4 more than the actual answer of 946. This means that our estimate is slightly higher than the actual answer. This is not a big difference and it is reasonable as the numbers are rounded to nearest 10.

Answer:

$180.00 sales price

$144.00 for a scratched one

Step-by-step explanation:

240 x .75 = 180

1/4 is 25% (100% - 25% = 75% which is .75 as a decimal)

180 x .80 = 144

1/5 is 20% (100% -20% = 80% which is .8 as a decimal)

There are 720 possible gate codes your apartment complex have.

What is algebra?

The subject matter of the math discipline of algebra is symbols and the arithmetic operations performed on them. Variable describes these symbols because they don't have any fixed values. We frequently notice values that are in constant flux in our day-to-day problems.

To represent these shifting values, however, is always necessary. These values are frequently represented in algebra with symbols like x, y, z, p, or q; these symbols are referred to as variables.

The gate code at your apartment complex is three numerical digits followed by # sign.



There are 10 digits (0 to 9).

Compute the number of possible gate codes if each code contains non-repeating digits as follows.

The first 3 place in the code must be filled by three non-repeating digits.

So, there are 10 possibilities for the first digit, 9 possibilities for the second digit and 8 possibilities for the third digit.

Hence, the three non-repeating digits can occur in 10×9×8 ways.

The three non-repeating digits are followed by "#" sign. The sign # can occur in only one way.

Combine the above results and obtain the number of possible gate codes as,

10×9×8×1=720

Thus, there are 720 possible gate codes.

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Answer:

To determine whether the three points P, Q, and R are colinear, we can calculate the distances between pairs of points using the distance formula:

d(P,Q) = √((-8 - (-7))^2 + (4 - 6)^2 + (-11 - (-8))^2) = √((-1)^2 + (-2)^2 + (-3)^2) = √14

d(Q,R) = √((-9 - (-8))^2 + (3 - 4)^2 + (-14 - (-11))^2) = √((-1)^2 + (-1)^2 + (-3)^2) = √9

d(P,R) = √((-9 - (-7))^2 + (3 - 6)^2 + (-14 - (-8))^2) = √((-2)^2 + (-3)^2 + (-6)^2) = √19

If the three points are collinear, the distance between any two points should be a multiple of the distance between the other two points. Since √14, √9, and √19 are not multiples of each other, it can be concluded that the three points P, Q, and R are not collinear.

Answer:

5x=33y,4x=21y I hope this is helpful

When the triangle has a base of 3 inches and an area of 5 square inches, its height is 3.33 inches.

what is triangle ?

Since a polygon has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a pyramid that has vertices A, B, and C. When the three factors are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sections and three corners. The points where the three sides meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

given

triangle's surface area is equal to 1/2 * b*h

5 = 1/2 * 3 * h

10 = 3h

h = 3.33 inches.

When the triangle has a base of 3 inches and an area of 5 square inches, its height is 3.33 inches.

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