Triangle ABC has coordinates A(−6,2), B(−3,6), and C(5,0). Find the perimeter of the triangle. Round your answer to the hundredths place (2 decimal places) I will give brainliest

Answer: -5/14

Step-by-step explanation:

I did the work and I rechecked the answer.

Changing the order of the variables when computing the correlation coefficient has no effect on the value of "r" as it measures the strength and direction of the linear relationship between two variables.

The correlation coefficient denoted as "r", measures the energy and path of the linear dating between two variables. It ranges from -1 to one, in which -1 shows a perfect negative correlation, 0 indicates no correlation, and 1 shows an ideal advantageous correlation.

Whilst computing the correlation coefficient, the order of the variables does not have an effect on the cost of "r". This means that whether we calculate the correlation between variable x and variable y, or variable y and variable x, the resulting correlation coefficient will be equal.

That is due to the fact the correlation coefficient measures the degree of linear association between two variables, no matter which variable is taken into consideration because of the explanatory variable and which one is taken into consideration because of the response variable.

Therefore, the correlation between x and y could be similar to the correlation between y and x. But, it's important to observe that the translation of the correlation coefficient may additionally range depending on the research query and the context wherein it's far used.

The course of the connection among variables may also have one-of-a-kind implications relying on the specific state of affairs being analyzed.

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The wall area of the foyer obtained by taking the sum of each wall is 192.6 feets .

This can be obtained by summing the area of the 4 walls , With the area of opposite wall being the same.

Mathematically, Area = Length × Width

Wall 1 = 6.5 × 9 = 58.5

Wall 2 = 4.2 × 9 = 37.8

Wall 3 = 6.5 × 9 = 58.5

Wall 4 = 4.2 × 9 = 37.8

Taking the sum of the wall areas ;

(58.5 + 37.8 + 58.5 + 37.8) = 192.6 ft²

Hence , the area of the foyer is 192.6 ft²

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Rounding to 2 decimal places, the length of the radius is approximately 3.41 cm.

To find the length of the radius of a circle when given the area, you can use the formula:

Area = π * radius^2

In this case, the area of the circle is given as 36.43 cm^2. Rearranging the formula, we have:

radius^2 = Area / π

radius^2 = 36.43 / π

Now, we can solve for the radius by taking the square root of both sides:

radius = √(36.43 / π)

Using a calculator, we can substitute the value of π (approximately 3.14159) and calculate the radius:

radius ≈ √(36.43 / 3.14159) ≈ √11.5936 ≈ 3.41

Rounding to 2 decimal places, the length of the radius is approximately 3.41 cm.

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Answer:

12 gallons

Step-by-step explanation:

If it takes 20 h for 5 gallons to be filled, it takes 4 h for 1 gallon to be filled. This is the ratio. You multiply 4 h by 12 to get 48 h, so you multiply 1 gallon by 12 as well. This is 12 gallons.

The system of inequalities are 10x + 22y ≥ 110 and x + y ≥ 8 and values of x and y are 5.5 and 2.5 respectively.

In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Total amount by washing cars = 10x

Total amount by tutoring = 22y

Total hours should be no less than 8

So,

x + y ≥ 8

And,

Total amount ≥ 10

10x + 22y ≥ 10

By substitution,

10(8 - y) + 22y ≥ 10

y ≥ 2.5

And x ≥ 5.5

Hence "The system of inequalities is 10x + 22y ≥ 110 and x + y ≥ 8 and values of x and y are 5.5 and 2.5 respectively".

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Answer:

hope it's good enough!

Step-by-step explanation:

If an equation is in standard form, which is Ax+By=C, you would have to convert the equation into slope-intercept form, which is y=mx+b.  This way you can locate the y-ntercept(b) immediately, and use rise over run to graph the slope and overall line.  An example of this would be converting 2x+y=5 into y= -2x+5.  5 would be your y-intercept, and -2 would be the slope.

Answer:

Look down!

Step-by-step explanation:

1. 1/4*1/4*1/4

2. 1/4*1/2*1/2*1/4

Millimeter (mm) and inch are both units of measurement for length, but they are not equivalent. One inch is equal to 25.4 millimeters. To convert inches to millimeters you multiply the number of inches by 25.4, for example 2 inches is equal to 50.8 millimeters. It's important to note that you can also use a conversion calculator or a conversion table to convert inches to millimeters.

A millimeter (mm) and an inch are both units of measurement for length. However, they are not equivalent and cannot be directly compared.

A millimeter is a metric unit of length, commonly used in most countries around the world. It is a unit of the International System of Units (SI) and it is one of the most widely used units of length in science and engineering. An inch, on the other hand, is an imperial unit of length that is mainly used in the United States. It is part of the British Imperial system of measurements and it is one of the most widely used units of length in the United States.

To convert inches to millimeters, we use the conversion factor that 1 inch is equal to 25.4 millimeters. So to convert inches to millimeters you multiply the number of inches by 25.4. For example, if you want to convert 2 inches to millimeters, you would multiply 2 by 25.4 to get 50.8 millimeters. It's important to note that you can also use a conversion calculator or a conversion table to convert inches to millimeters.

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Answer:

JL = 14

Step-by-step explanation:

N represents the center of the rhombus

Then

N is the midpoint of the diagonal (line segment) JL

Then

JL = 2 × NL

    = 2 × 7

    = 14

For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\)  is  \($\sin^{-1}\frac{x}{a} + C$.\)

A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.

The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.

For given problem,

\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)

Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)

\($= \int d\theta$\)

\($= \theta + C$\)

Substituting back for\($x = a\sin\theta$:\)

\($= \sin^{-1}\frac{x}{a} + C$\)

Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)

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Answer:

(c) x = 15.26

Step-by-step explanation:

a² + b² = c²

8² + 13² = c²

64 + 169 = c²

c² = 233

c = 233 ½

c = 15.26

Answer: 21

Step-by-step explanation:4/4=1  5x4=20  20+1 = 21

The amount of square feet of cement needed for the sidewalk is 1,050 square feet.

To calculate the square footage of the cement needed for the sidewalk around the outside edge of the lot, we need to find the perimeter of the lot and then subtract the inner area.

The perimeter of the lot can be calculated by adding up all four sides:

Perimeter = Side A + Side B + Side A + Side B

Perimeter = 60 + 90 + 60 + 90

Perimeter = 300 feet

Since the sidewalk is 7 feet wide and runs along the outside edge of the lot, we need to subtract the area of the inner rectangle (60 feet by 90 feet) from the area of the outer rectangle (74 feet by 104 feet) to find the area of the sidewalk.

Area of the outer rectangle = 74 * 104

= 7,696 square feet

Area of the inner rectangle = 60 * 90

= 5,400 square feet

Area of the sidewalk = Area of the outer rectangle - Area of the inner rectangle

Area of the sidewalk = 7,696 - 5,400

Area of the sidewalk = 2,296 square feet

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The correct option is C. Green image of triangle ABC.

How to find the rotated shape or coordinates of image about origin?

As we know that triangle ABC, is rotated 270° counterclockwise about the origin. So, the algebraic rule for a figure is,

90° Clockwise or 270° counter clockwise, (x,y) = (y,-x)

As, C(-3,3) which is equal to (3,3) from the algebraic rule.

And (3,3) belongs to 1st quadrant i.e. green image is the correct answer.

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Triangle below represents is  option  C. Green image of triangle ABC.

A triangle is a geometric shape with three sides and three angles. It is one of the most fundamental shapes in geometry and is used extensively in mathematics, physics, engineering, and many other fields. Triangles are often classified based on their angles and sides.

As we know that triangle ABC, is rotated 270° counterclockwise about the origin. So, the algebraic rule for a figure is,

90° Clockwise or 270° counter clockwise, (x,y) = (y,-x)

As, C(-3,3) which is equal to (3,3) from the algebraic rule.

And (3,3) belongs to 1st quadrant i.e. green image is the correct answer.

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Answer:Range

Step-by-step explanation:the set of all images of the elements in the domain of a function is called the Range .

The set of all images of the elements in the domain of a function is called the range. The range is the set of all possible outputs or y-values that a function can produce for its corresponding inputs or x-values in the domain.

The range can be determined by either analyzing the function algebraically or by graphing it. It is important to note that not all functions have a defined range, as some may produce infinite or undefined outputs. The range plays a crucial role in understanding the behavior and characteristics of a function, as it helps identify its domain and any possible restrictions or limitations.

The set of all images of the elements in the domain of a function is called the range of the function. The range represents the output values of a function that result from applying the function to every element within its domain. In other words, the range consists of all possible values that the function can produce when it is applied to the elements in its domain.

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A(n) example is a specific case that is utilized to illustrate a broader concept, and it can take the form of factual occurrences, hypothetical scenarios, or personal experiences.

Examples operate as concrete proof that makes it easier to understand and put into practice abstract ideas. They offer concrete or fictitious examples that exemplify a broad topic, making it more straightforward for others to understand and relate to the underlying notion.

Examples make complex theories or concepts more understandable and relatable, promoting effective communication and improved comprehension across various subjects and disciplines.

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Answer:

78°F

Step-by-step explanation:

75.5°F on Saturday...

75.5 + 6 = 81.5 on Sunday

81.5 - 3.5 = 78°F on Monday

The expression that represents the temperature change is

N = L + 6°F + 3.5°F

The temperature on Monday is 85°F.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Temperature:

Saturday = L= 75.5°F ______(1)

Sunday = M = Rose by 6°F

M = L + 6 _____(2)

Monday = N = Dropped by 3.5°F

N = L + 6 - 3.5 _____(3)

The expression that represents the temperature change:

From (1), (2), and (3) we get

N = L + 6°F + 3.5°F

The temperature on Monday:

N = 75.5 + 6 + 3.5

N = 85°F

Thus,

The expression that represents the temperature change is

N = L + 6°F + 3.5°F

The temperature on Monday is 85°F.

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Answer:

85%

Step-by-step explanation:

Total no. of matches played,

→ x = 20 matches

No. of matches they won,

→ y = 17 matches

Now the win percentage will be,

→ (y/x) × 100

→ (17/20) × 100

→ 0.85 × 100

→ 85%

Hence, the percentage is 85%.

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

Step-by-step explanation:

Ok so first, we must figure out what 1 once costs. This can be done by divideing 4.48(cost) by 14(weight).

You should get 0.32.

Now just multiply by 8 and you should get your answer. This answer is 2.56.

Answer:

2.56

Another way this can be done is dividing 8(second weight) by 14(first weight) which will get you the difference. This is 0.5714 blah blah blah goes on for a long time. Now, take this number and multiply it by the 4.48(first cost). This should get you 2.56.

Answer:

2.56

Ti⊂k∫∈s ω∅∅p

No, they cannot construct a cube from the square pieces of foam board.

A square has four equal sides. When we multiply the length and width of a square to determine its area, we are essentially squaring one of its sides because they are the same.

A=s²

If we already know the area, we can work backward and take the square root to find the side:

√169=√s²

13=s

13 inches is the side length.

The length, breadth, and height of a cube are all equal. These three measurements are multiplied to determine a cube's volume; since they are equal, this essentially equals cubing the side length:

V=s³

The volume is 1728, so we have the following:

1728=s³

We take the cubed root and move backwards:

∛1728=∛s³

12=s

So, In order to construct a cube with the given volume 12 should be length of the side but the length of the square is 13 so it is not possible.

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A rule that could represent this dilation of a hexagon on a coordinate grid with the origin as the center is: (x, y) → (kx, ky), where k is the dilation factor (0 < k < 1) for creating a smaller hexagon.

The rule that could represent this dilation is to multiply the coordinates of each vertex of the original hexagon by the scaling factor (the factor by which the hexagon is being dilated) and the distance from the origin. Since the origin is the center of the dilation, the distance from the origin to any point on the hexagon remains constant. Therefore, the rule for dilating a hexagon with the origin as the center of dilation can be written as:
New Vertex = Scaling Factor x Distance from Origin x Old Vertex

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The rule that represents the dilation of the hexagon with the origin as the center of dilation is:
\((x\prime, y\prime) = (xr, yr)\)
r is the ratio of the side lengths of the image to the pre-image, and (x, y) are the coordinates of a point on the pre-image.

A hexagon means to scale it up or down in size while maintaining its shape.

The hexagon will be made smaller.

The center of the dilation is the origin, which means that the hexagon will be scaled equally in all directions from the center.
To find the rule that represents this dilation, we can use the formula for dilation.

The formula for dilation is:
\((x\prime, y\prime) = k(x, y)\)
(x, y) are the coordinates of a point on the pre-image (the original hexagon), \((x\prime, y\prime)\) are the coordinates of the corresponding point on the image (the smaller hexagon), and k is the scale factor.
The center of dilation is the origin, which means that the coordinates of the center of the pre-image and the image are both (0, 0). Since the hexagon is being scaled down, the scale factor k must be less than 1.
To find the value of k, we need to know the ratio of the side length of the image to the side length of the pre-image. Let's say that the side length of the pre-image is s, and the side length of the image is \(s\prime\).

The scale factor k can be found using the formula:
\(k = s\prime / s\)
Since the hexagon is being scaled down, we know that\(s\prime < s.\)

Let's say that the ratio of the side lengths is r, where:
\(r = s\prime / s\)
Then we can rewrite the formula for k as:
\(k = r / 1\)
The center of dilation is the origin, the coordinates of each point on the pre-image are equal to the length of their respective sides.

The vertices of the pre-image using the following coordinates:
A = (0, s)
\(B = (s\sqrt 3/2, s/2)\)
\(C = (s\sqrt 3/2, -s/2)\)
\(D = (0, -s)\)
\(E = (-s\sqrt3/2, -s/2)\)
\(F = (-s\sqrt3/2, s/2)\)
The coordinates of the corresponding vertices on the image, we can substitute these coordinates into the formula for dilation:
\(A\prime = k(0, s) = (0, rs)\)
\(B\prime = k(s\sqrt3/2, s/2) = (s\sqrt3/2 r, s/2 r)\)
\(C\prime = k(s\sqrt3/2, -s/2) = (s\sqrt3/2 r, -s/2 r)\)
\(D\prime = k(0, -s) = (0, -rs)\)
\(E\prime = k(-s\sqrt3/2, -s/2) = (-s\sqrt3/2 r, -s/2 r)\)
\(F\prime = k(-s\sqrt3/2, s/2) = (-s\sqrt3/2 r, s/2 r)\)

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Answer:

None of the above.

Step-by-step explanation:

The equation should be (x - 2)^2 + (y - 3)^2 = 25

The standard equation of a circle is:

(x - a)^2 + (y - b)^2 = r^2

where (a,b) are the coordinates of the center and r, the radius.

here the center = (2,3) hence a = 2 , b = 3 and r = 5

Data visualization is important because option (a) 90% of the information transmitted to the brain is visual.

Data visualization is important because the human brain is wired to process visual information more efficiently than text or numbers. Research shows that about 90% of the information transmitted to the brain is visual, and we can process visual information much faster than text.

Therefore, data visualization is an effective way to represent complex data in a way that is easy to understand and analyze. It allows us to identify patterns, trends, and outliers that might be difficult to detect in raw data.

Therefore, the correct option is (a) 90% of the information transmitted to the brain is visual.

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The given question is incomplete, the complete question is:

Data visualization is important because: a) 90% of the information transmitted to the brain is visual b) None of these are correct c) People can synthesize data better than visual representation d) Everybody likes chart and graphs

Therefore, Diego has 1.8 kilograms of carrots left.

Diego initially had 3 kilograms of carrots. He used 0.8 kilograms for the soup and 0.4 kilograms (400 grams) for the carrot cake.

So the total amount of carrots he used is:

0.8 + 0.4 = 1.2 kilograms

To find out how many kilograms of carrots he has left, we can subtract the amount he used from the initial amount:

3 - 1.2 = 1.8 kilograms

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The number of seconds where the football hit the ground is 2 seconds

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

The graph

The number of seconds where the football hit the ground is when the graph intersects with the x-axis at the second time

In this case, the point is (2, 0)

Also, the seconds is represented by x

So, we have

x = 2

Hence, the seconds the football hits the ground is 2

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To simulate a 6.25% chance of success, the most efficient way to do this is to generate the numbers from 1 to 16 and choose one to represent success. To simulate a 40% chance of success, generate numbers from 1 to 5 and choose 2 to represent success. Finally, to simulate a 2 in 29 chance of success, generate numbers from 1 to 29 and choose 2 to represent success.

a. Suppose you want to simulate something with a 6.25% (1 in 16) chance of success.

The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to 16, and arbitrarily choose 1 number to represent a "success."

b. Suppose you want to simulate something with a 40% (2 in 5) chance of success. The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to 5, and arbitrarily choose 2 number(s) to represent a "success."

c. Suppose you want to simulate something with a 2 in 29 chance of success. The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to 29, and arbitrarily choose 2 number(s) to represent a "success."

In summary, to simulate a 6.25% chance of success, the most efficient way to do this is to generate the numbers from 1 to 16 and choose one to represent success.

To simulate a 40% chance of success, generate numbers from 1 to 5 and choose 2 to represent success.

Finally, to simulate a 2 in 29 chance of success, generate numbers from 1 to 29 and choose 2 to represent success.

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true.

although maybe you should flip it.

3h+2k+9

instead of nine going first.

Answer:

divide and 16 per pound...

Answer:

divide, 16

Step-by-step explanation:

To find the weight, we have to divide the total number of ounces, 96, by the unit rate, which is the baseline for the conversion, 16 ounces.

Hope this helps! :)