Find the area of the following triangle:
Enter the exact answer.
Do not round
13cm, 5.7cm, and 4cm

There are two quantitative variables that are required to measure the scatter plot.

The values of one variable appear on the horizontal axis and the values of the other variable appear on the vertical axis.

A scatterplot is a type of data display that shows the relationship between two numerical variables and a graphical representation of individual scores on two variables.

Each member of the dataset gets plotted as a point whose (x, y) left parenthesis, x, comma, y, and right parenthesis coordinates relate to its values for the two variables.

The values of one variable appear on the horizontal axis and the values of the other variable appear on the vertical axis.

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The value of the angle ∠U using the exterior angle theorem is calculated as; D: 34°

An exterior angle of a triangle is created by extending one side of the triangle. Now, the theorem of exterior angle of a triangle is that If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

Now, since we are given that m∠V = 95°, and m∠Z = 129°, then it means we can say that;

∠X, ∠Y = ∠Z

Similarly;

∠U + ∠V = ∠W

By congruency and external angles theorem, we can say that;

∠U + ∠V = ∠Z

Thus;

∠U +  95° = 129°

Thus;

∠U = 129 - 95

∠U = 34°

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If Jordan is taking out a 2-week payday loan for $600. He will be charged $95 interest for the 2-week loan. The APR for this loan is 412.8%.

Using this formula to find the Annual percentage rate (APR)

APR =Loan interest /loan amount ÷ Number of loan length / 365

Let plug in the formula

APR = 95/600 ÷ (2 × 7 days)/365 days

APR = 95/600 ÷ 14 days/365 days

APR = 4.1279 × 100

APR = 412.8% ( Approximately)

Therefore we can conclude that the APR is 412.8%.

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Answer:The greatest possible error of a measurement is considered to be one-half of the measuring unit. If you measure a length to be 4.3 cm. (measuring to the nearest tenth), the greatest possible error is one-half of one tenth, or 0.05. This means that any measurements in the range from 4.25 cm. to 4.35 cm. are perceived as correct.

Step-by-step explanation:

Answer:

The greatest possible error for a measurement of 0.05 metric tons would depend on the accuracy of the measurement device or technique being used. Without more information about the specific measurement method, it is impossible to determine the greatest possible error.

Step-by-step explanation:

Answer:

x < -2  or  x > 4

Step-by-step explanation:

This is an absolute value inequality of the form

|X| ≥ b

where X is an expression with a variable, and b is a non-negative number.

An absolute value inequality of this form is solved by changing the form into a compound inequality using the word "or."

To solve

|X| ≥ a,

solve the compound inequality

X < - a or X > a

In other words, when the absolute value of an expression is greater than (or greater than or equal to) a number, rewrite the absolute value inequality as

expression < -number or expression > number

In your problem, you have

|2x - 2| ≥ 6

The expression is 2x - 2.

The number is 6.

You change the absolute value inequality to the following compound inequality:

2x - 2 ≤ -6  or  2x - 2 > 6

Now you solve each inequality always keeping the word "or" in between them.

2x - 2 ≤ -6  or  2x - 2 > 6

2x < - 4  or  2x > 8

x < -2  or  x > 4

I hope you understand the solution and explanation. If you have any questions, ask in the comments.

The perimeter is the total distance around the outer boundaries of a shape. It is used to measure the size of an area by adding the lengths of all the sides of the shape together.

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The rate on the interest of $1680 with principle $3000 is 8 %

Simple interest is a way to figure out how much interest will be paid on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the following year's principal to compute interest, the principal amount under simple interest remains constant.

Simple interest is a quick and simple approach to figure out how much money has accrued interest. Interest is always applied to the initial principle amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount. Simple interest is one of several forms of interest that banks charge. Now, let's first clarify what a loan is before delving further into the idea of simple interest.

Here, Principle amount = $3000

Interest = $1680

Time = 7 years

rate = r %

So,

1680 = (3000*r*7)/100

⇒ 1680 = 30*7*r

⇒ r = 1680/210

⇒ r = 8

So the rate of interest is 8 %

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Answer

[tex]\sqrt[3]{4^{2} }[/tex]

Step-by-step explanation:

The equation that can be used to determine f, the numbers of flyers Fernando handed out in two hours will be f= (120 / 30) × 29

It should be noted that a rate demonstrates how many times one number can fit into another number. It simply contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point to another data point.

In this case, Landon hands out 90 flyers in 2 hours. Fernando hands out 29 flyers in 30 minutes.

Note that 2 hours = 120 minutes.

The equation that can be used to determine f, the numbers of flyers Fernando handed out in two hours will be:

f = (120 / 30) × 29

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Answer:

7 1/2

Step-by-step explanation:

9 4/5 - 2 3/10 =

(9 + 4/5) - (2 + 3/10) =

(9 + 4/5) - 2 - 3/10 =  ==> distribute the minus sign to 2 and 3/10

9 + 8/10 - 2 - 3/10 =  ==> change 4/5 to 8/10 to have common denominators

9 - 2 + 8/10 - 3/10 =  ==> combine like terms

7 + 5/10 = ==> simplify

7 + 1/2 = 7 1/2

In order to solve problems involving triangles that require constructions, you can use a straightedge and compass.

Here are the steps you can follow:

First, identify the information that is given in the problem and what you need to find.

Draw a diagram of the triangle, including any given segments or angles.

Use the given information to construct any points or lines that are required.

Use the straightedge to draw any necessary lines, and use the compass to construct any circles or arcs that are required.

Use the properties of triangles and the given information to solve for the unknown quantity. It's important to note that not all problems involving triangles can be solved using constructions. In some cases, you may need to use other techniques, such as the Pythagorean Theorem or the Law of Sines.

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The distance between the given two points on the coordinate grid is 17 units.

A coordinate grid has two perpendicular lines, or axes labelled just like number lines. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin.

Given that, are two points (7, 8) and (-8, 0) on a coordinate grid, we need to find the distance between the points

We know that, the distance between two points on a coordinate grid is given by;

D = √(x₂-x₁)²+(y₂-y₁)²

Here, x₁ = 7, x₂ = -8 and y₂ = 0, y₁ = 8

Therefore,

D = √(-7-8)²+(0-8)²

D = √(-15)²+(-8)²

D = √225+64

D = √289

D = 17

Hence, the required distance is 17 units.

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Answer:

Use the Cosine Rule to find unknown sides and angles

Step-by-step explanation

The linear inequality that represents the given temperature is; -40 < x < 120

Linear inequalities are defined as inequalities that involve at least one linear algebraic expression.

Linear inequalities are usually written in the form of  expressions where any two values are often compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. Now, these values could be numerical or algebraic or even a combination of both.

The linear inequality from the question expressed as -40 < x < 120 shows us that the outside air must be between the range of -40 degrees to 120 degrees.

This can be explained as the least temperature must be above -40°F and the highest temperature must not exceed 120°F

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Answer:

Eden planted 2 basil plants and 8 mint plants.

Step-by-step explanation:

Here's one possible way to write a system of equations to represent the information given in the problem:

Let x be the number of basil plants and y be the number of mint plants.

The first equation represents the total number of plants:

x + y = 10 (because Eden is planting a total of 10 herbs)

The second equation represents the total cost of all the plants:

x* $0.50 + y* $0.25 = $3

Elimination Method:

Multiply the first equation by $0.50

x* $0.50 + y* $0.50 = $5

subtracting this equation from the second equation

y* $0.25 = $3-$5 = -$2

y = 8

then substitute the value of y in first equation

x + 8 = 10

x = 2

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The value is evaluated to 5 1/4

A fraction can be described as the part of a whole value, variable or element.

The different types of fractions are;

From the information given, we have that;

1 + (-2/3) - (-m)

If the value of m = 9/2, let's substitute the value, we have;

1 - 2/8 - ( 9/2)

expand the bracket

1 - 2/8 + 9/2

Find the LCM

8 - 2 +  36 /8

42/8

5 1/4

Hence, the value is 5 1/4

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Answer:

-45, -46

Step-by-step explanation:

-45 + (-46) = -91

Answer:

x = 15

Step-by-step explanation:

[tex]\sqrt[3]{2x-3}[/tex] = 3 ( cube both sides to clear the radical )

( [tex]\sqrt[3]{2x-3}[/tex] )³ = 3³

2x - 3 = 27 ( add 3 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

There are six even numbers that can be formed from the digits 1, 2, 3, 4, and 5: 2, 4, 12, 14, 23, and 24.

To calculate the number of even numbers, we can first calculate the total number of combinations of all the digits. This is done by multiplying the total number of digits (5) by the total number of combinations of each digit (4). This gives us 5 x 4 = 20.

To calculate the number of even numbers, we then divide this number in half, as half of the combinations will be even numbers. Therefore, 20 divided by 2 = 10 even numbers. Hence, there are six even numbers that can be formed from the digits 1, 2, 3, 4, and 5: 2, 4, 12, 14, 23, and 24.

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Answer:

Step-by-step explanation:

u just add the two equations together.

14w +56

Answer:

y = -0.2x + 4.6

Step-by-step explanation:

We can set up a point-slope form to calculate for the equation:

y - y1 = m (x - x1)

Before we plug the coordinate into the formula, we need m, the slope of L, we know that L is perpendicular to the straight line, and the slope of the straight line is 5:

Perpendicular slope form is: opposite reciprocal of m, which is:

-1/5 or -0.2

Now we plug all the numbers into the previous equation:

y - 5 = -0.2 (x + 2)

y = -0.2 (x + 2) + 5

y = -0.2x + -0.4 + 5

y = -0.2x + 4.6

Now this is a slope-intercept form.

Answer:

See below

Step-by-step explanation:

The chi-squared analysis aims to check whether observed frequencies in one or more categories match up with expected frequencies. I don't see any answer choices, but hopefully this short explanation will help!

The net force on particle q2 is 32203.65N

The sum total of all the forces which are acting on an object is known as the net force. A mass that can accelerate due to net force on an object. Whether a body is at rest or in motion, it is a subject to another force. When there are a lot of forces which are acting on a system, the term net force is used to denote it.

Given;

r₁₂ = 0.550m r₂₃ = 0.550m. Then the distance from the first charge to the third one will be;

r₁₃ = r₁₂ + r₂₃ = 0.550 + 0.550 = 1.1m

Now, according to the Coulomb's law, the net force on particle q₂ will be equal to the sum of the forces on particle q₂ from the particle q₁ and q₃.

F₃+ = F₁₃ +F₂₃ = q₁q₂/r²₁₃ + k q₃q₂/r²₂₃

Where, k = 9 × 10⁹ N m²/C²

Substituting numerical values;

F₃ = 9 × 10⁹ (-66.3 × 10⁻⁶)(-43.2 × 9 × 10⁻⁶)/ 1.45² + 9 × 10⁹ × 108 × 10⁻⁶ (-43.2 × 10⁻⁶) / 0.550²

F₃= 231.996x 41.9904/0.3025

F₃= 32203.65

Therefore, the net force will be 32203.65N

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The extraneous solution of the equation x - 1 = √x + 1 is x = 0

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

x - 1 = √x + 1

Take the square of both sides

So, we have

x² - 2x + 1 = x + 1

Evaluate the like terms

x² - 3x = 0

So, we have

x(x - 3) = 0

Solving for x, we have

x = 3 and x = 0

Substitute x = 3 and x = 0 in x - 1 = √x + 1

3 - 1 = √3 + 1

2 = 2 ---- true

0 - 1 = √0 + 1

-1 = 1 ---- false

Hence, the extraneous solution is x = 0

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Answer: I don’t know

Step-by-step explanation:

To solve this equation, we need to get x by itself on one side of the equation. To do this, we can start by adding 8 to both sides of the equation to get:

2/3 x - 8 + 8 = 24 + 8

This simplifies to:

2/3 x = 32

Then, we can divide both sides of the equation by 2/3 to get:

(2/3) / (2/3) * x = 32 / (2/3)

This simplifies to:

x = 48

So the solution to this equation is x = 48.

Answer:

To find the equation of a line that is perpendicular to the line y = -x - 2 and intersects the point (-5, 10), we can use the Point-Slope Form of a line: y - y₁ = m(x - X1)

The Point-Slope Form allows us to find the equation of a line when we know the slope of the line (m) and the coordinates of a point on the line (X1, Y1).

In this case, we know that the slope of the line y = -x - 2 is -1, because the coefficient of x is -1. We also know that the line intersects the point (-5, 10), so we can substitute those values into the Point-Slope Form:

[tex]y - 10 = -1(x - (-5))\\[/tex]

Next, we can simplify this equation by distributing the -1:

[tex]y - 10 = -1x + 5[/tex]

Finally, we can write the equation in slope-intercept form by adding 10 to both sides and simplifying:

[tex]y = -1x + 15[/tex]

So, the equation of the line that is perpendicular to y = -x - 2 and intersects the point (-5, 10) is y = 1x+15.

I hope this helps! If you have any questions about this problem or if you need further clarification, just let me know.

Answer:

Step-by-step explanation:

point form:

(-24,-13)

Equation form:

x = -24  y = -13

The value of [tex]x[/tex] and [tex]y[/tex] is [tex]x=-24[/tex] and [tex]y=-13[/tex]

The two given equation are

                       [tex]2x-3y=-9\\x-5=-29[/tex]

We need to find [tex]x[/tex] and [tex]y[/tex]

 that is ,

           [tex]x=-29+5\\x=-24[/tex]

We can substitute the value of [tex]x[/tex] in equation [tex]2x-3y=-9[/tex]

       that is ,

                      [tex]2(-24)-3y=-9\\-48-3y=-9\\-3y=-9+48\\-3y=39\\y=-13[/tex]

The value of [tex]x=-24,y=-13[/tex]

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The complete question is , Find the value of [tex]x[/tex] and [tex]y[/tex] if [tex]2x-3y=-9 , x-5=-29[/tex] in the substitution form.

Brandon ' s rate of change , give the graph on the amount of savings per period, is C. 75

The rate of change can be found by the formula :

= Rise / Run

The rise can be found by subtracting an earlier value of the amount in savings, from a later value of the amount in savings .

The run can be found by subtracting an earlier value in periods from a later value in periods . Therefore , the first step is to pick two points on the graph.

Points picked are ( 2 , 150 ) and ( 4 , 300 )

The rise is :

= 300 - 150

= 150

The run is :
= 4 - 2

= 2

The rate of change is :
= 150 / 2

= 75

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