Find the coordinates of the circumcenter of the triangle with the given vertices.
A(2, 2). B(2, 4), C(8, 4)
The circumcenter is

At the given point, Chad has used 176 feet of light

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

Length = 55 feet

Width = 48 feet

We start by calculating the distance from the end of the width till the beginning of the length

This is represented by the following Pythagoras theorem

Distance = √(Length² + Width²)

So, we have

Distance = √(55² + 48²)

Evaluate

Distance = 73

The number of feet is then calculated as

Feet = Length + width + distance

So, we have

Feet = 55 + 48 + 73

Evaluate

Feet = 176

Hence, the total distance is 176 feet

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However, a correlation between two variables does not always imply that a change in one variable is the reason for a change in the values of the other. There is a causal link between the two occurrences, which means that causation shows that one event is the outcome of the occurrence of the other event.

Causal relationships between variables may consist of direct and indirect effects. Direct causal effects are effects that go directly from one variable to another. Indirect effects occur when the relationship between two variables is mediated by one or more variables.

Direct and indirect effects may make up causal connections between variables. Effects that flow directly from one variable to another are referred to as direct causal effects. When one or more factors mediate the link between two variables, indirect effects result.

What are examples of causal relationships?

Causal relationships: A causal generalization, e.g., that smoking causes lung cancer, is not about an particular smoker but states a special relationship exists between the property of smoking and the property of getting lung cancer.

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Answer:

Let the odd numbers be 2n + 1 and 2n + 3 where n is any positive integer. Therefore, the numbers are 19 and 21.

Prediction for the spinner will land on an even number is 54 times.

What do you mean by permutation and combination?

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.

There are 3 even numbers out of A total of 8 numbers.

Each spin would have a 3/8 chance of landing in an even number.

Multiply the chance of landing on even by number of spins:

144 x 3/8 = 432/8 = 54

The answer would be 54 times.

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Answer:

Step-by-step explanation:

5,6

The number -17/20 belongs to the set of real numbers.

What is the set of real numbers?

The set of real numbers is made by combining the set of rational numbers and the set of irrational numbers. Real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers.

All real numbers, including fractions and decimals, are part of the set of real numbers.

The set of real numbers includes all numbers that can be expressed on the number line, including positive and negative numbers, as well as all fractions and decimals.

This set is often denoted by the symbol "ℝ".

Hence, The number -17/20 belongs to the set of real numbers.

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The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

The value of x is 25.

The value of y is 78.

The value of z is 24.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure given we see that,

88 and y + 10 are corresponding angles.

88 = y + 10

y = 88 - 10

y = 78

Now,

3x - 7 and 2x + 18 are oposite angles.

3x - 7 = 2x + 18

3x - 2x = 18 + 7

x = 25

Now,

(y + 10) + (3x - 7) + z = 180

78 + 10 + 3 x 25 - 7 + z = 180

88 + 75 - 7 + z = 180

z = 180 - 156

z = 24

Thus,

The value of x is 25.

The value of y is 78.

The value of z is 24.

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Answer:

113

Step-by-step explanation:

30° + 37° + angle c = 180° (Sum of all angles of a triangle is 180°)

or, 67° + angle c = 180°

or, angle c = 180° - 67°

or, angle c = 113°

Answer:

The lie is #2

Step-by-step explanation:

Just like how dividing powers with the same bases is like subtracting exponents, multiplying them is like adding exponents.

If you substitute 4 as x in #1, you get [tex]13^2*13^4=13^6[/tex]. This is the same as saying [tex]13^2^+^4=13^6[/tex], which is true.

If you substitute 4 as x, 6 as y, and 8 as z in #2, you get [tex]m^6*m^8=m^4[/tex]. This is the same as saying [tex]m^6^+^8=m^4[/tex], which is not true.

If you substitute 6 as y in #3, you get [tex]5^6*5^6=5^1^2[/tex]. This is the same as saying [tex]5^6^+^6=5^1^2[/tex], which is true.

The y-coordinate of the center of the circle is 1.

What is a coordinate?

In geometry, a coordinate system is a method for determining how to place points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates. A coordinate system is a framework for specifying how objects are situated in relation to one another within a specified space, such as a specific region of the earth's surface or the entire surface of the planet.

Solution Explained:

After completing the square for x and for y, you should get

(x+2)^2  +  (y-1)^2  = 21

Center (x,y) = (-2,1)

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Answer:

Step-by-step explanation:

You want the solutions to three equations, and the error in the work shown.

The correct solution is ...

  [tex]-6n+22=-4n+14\\\\22=2n+14\qquad\text{add $6n$}\\\\8=2n\qquad\text{subtract 14}\\\\\boxed{4=n}[/tex]

Cullen's error was adding 4n to one side, and subtracting 4n from the other side of the equation. (The same operation must be done to both sides.)

The correct solution is ...

  [tex]8.4y -6.8 = -3.2y +16.4\\\\11.6y-6.8=16.4\qquad\text{add $3.2y$}\\\\11.6y=23.2\qquad\text{add 6.8}\\\\\boxed{y=2}[/tex]

Seraphina's error was dividing one side of the equation by 11.6 and subtracting 11.6 from the other side. (The same operation must be done to both sides.)

The correct solution is ...

  [tex]\dfrac{7}{8}b -32 = \dfrac{3}{4}b +32\\\\\dfrac{1}{8}b-32=32\qquad\text{subtract $\dfrac{3}{4}b$}\\\\\dfrac{1}{8}b=64\qquad\text{add 32}\\\\\boxed{b=512}\qquad\text{multiply by 8}[/tex]

Jasper's error was multiplying one side of the equation by 8 and dividing the other side by 8.  (The same operation must be done to both sides.)

The inequality that represents the condition will be b + 10.7 ≥ −3.2. Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Let the number be 'b'. Then the statement "the sum of a number and 10.7 is at most −3.2" is written in mathematical form. Then we have

b + 10.7 ≥ −3.2

Thus, the inequality that represents the condition will be b + 10.7 ≥ −3.2. Then the correct option is C.

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The angles that satisfy the given trigonometric equation are 0°, 153.5°, 333.5°

Trigonometric ratios are the ratios of sides of a right-angle triangle. The most common trigonometric ratios are sine, cosine, and tangent.

2tan^2∅ + tan∅ = 0

let k = tan∅

so that we have

2k^2 +k = 0

factorizing,

k( 2k + 1) = 0

Therefore,

k = 0, or 2k + 1 = 0

2k  = -1

k = -1/2

so k = 0 or k  = -1/2

recall that tan∅ = k

which means

tan∅ = 0 or tan∅ = - 1/2

∅ = arc(tan) 0 or arc(tan) -1/2

∅ = 0° 0r -25.6°

but tan ∅ = -1/2 at 90° to 180° and 270° to 360°

∅ = 0°, (180 - 25.55°), (360 - 25.55°)

∅ = 0°, 153.5°, 333.5°

In conclusion the angles that satisfy the equation are 0°, 153.5° and 333.5°

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Answer:

He picked a total of 52

Step-by-step explanation:

You would add 16 (red apples), then divide 1/2 from the 16 red apples, +28 green apples which would equal 52.

The probability that it will rain tomorrow is 0.2. the odds that it will rain tomorrow are 2 to .  The odds that it will not rain tomorrow are to 0.8.

What is probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The probability that it will rain tomorrow is 0.2

i.e.

P(it will rain tomorrow )=0.2

Now probability that it won't rain tomorrow is,

P(it won't rain tomorrow )=1- P(it will rain tomorrow)=1-0.2=0.8

Thus

P(it won't rain tomorrow)=0.8.

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Answer:

∠ a & ∠ d

∠ b & ∠

Answer:

∠ A and ∠ D

∠ B and ∠ E

Step-by-step explanation:

Ernie Brody had $3,620 on deposit at Savings Bank on July 1. The money earns interest at a rate of 6.5% compounded is $58.83

What is compounded?

to combine into a single unit; combine: to mix medications to create a new medication. to create something by putting pieces, things, etc. together; construct: to combine elements of various previous plans to create a new one.The interest on a loan or deposit calculated based on the initial principal, and the collective interest from previous periods is called compound interest. It is basically 'interest earned on money that was previously earned as interest'.

Given that, principal=$3620, rate of interest=6.5% and time period=9 months.

Here, principal compounded quarterly

Thus, Amount
[tex]\$ 3,620 \times 6.5 \% \times \frac{1}{4}=\$ 58.83[/tex]

The first period interest is product of the principal, the annual interest rate and the interest period (expressed in years).

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Ernie Brody had $3,620 on deposit at Savings Bank on July 1. The money earns interest at a rate of 6.5% compounded is $58.83

What is compounded?
To combine into a single unit; combine: to mix medications to create a new medication. to create something by putting pieces, things, etc. together; construct: to combine elements of various previous plans to create a new one.The interest on a loan or deposit calculated based on the initial principal, and the collective interest from previous periods is called compound interest. It is basically 'interest earned on money that was previously earned as interest'.

Given that, principal=$3620, rate of interest=6.5% and time period=9 months.
Here, principal compounded quarterly
Thus, Amount
$3,620x6.5%x1/4=$58.83
The first period interest is product of the principal, the annual interest rate and the interest period (expressed in years).

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Step-by-step explanation:

Here, not sure if it got the answer you were looking.

The ratio of all the corresponding sides and corresponding angles is one. Then the quadrilateral is congruent with each other.

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

The quadrilaterals are LMNP and LKJQ shown.

In quadrilaterals LMNP and LKJQ,

LK = LM = LQ = LP         (Given)

JK = JQ = NM = NP        (Given)

∠KJQ = ∠MNP          (Given)

∠KLQ = ∠MLP           (Given)

∠JKL = ∠NML            (Given)

∠JQL = ∠NPL            (Given)

The ratio of all the corresponding sides and corresponding angles is one. Then the quadrilateral is congruent with each other.

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Answer:no

Step-by-step explanation:

Answer: no

Step-by-step explanation: cuz u need a number thats bigger such as the numerator is bigger than the denominator

The x = 5-y line passes through (0,5) and (5,0).

The y = 2x -4 line passes through (0,4) and (2,0).

What is a linear equation?

The graphs of all first-degree equations in two variables will be straight lines. This fact will be used here even though it will be much later in mathematics before you can prove this statement. Such first-degree equations are called linear equations.

Here, we have

Given inequalities

x - y < 5

y ≥ 2x - 4

We have to describe the graph of the system of inequalities.

For, x < 5+y

x = 5-y

We put y = 0, we get

x = 5

We put x =0, and we get

y = 5

Hence, the x = 5-y line passes through (0,5) and (5,0).

For, y ≥ 2x - 4

y = 2x -4

We put x = 0, and we get

y = 4

We put y = 0, we get

x = 2

Hence, the y = 2x -4 line passes through (0,4) and (2,0).

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The required transformation of the given figure is given as 4 units right and 2 units down.

Given that,
To determine the trasformation of the given figure.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

here,
As shown in the figure,
The figure is translated as of the former figure to 4 units in the positive x direction and 2 units towards the negative y direction.

Thus, the required transformation of the given figure is given as 4 units right and 2 units down.

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Answer:

24

Step-by-step explanation:

6 + 8 =24. You can ignore the 1/2 because it is on both sides of the equation.

Answer:

it is 24 and 24x1/2 but you can count 1/2 as 2 which will get you to 48 division 12

5% of $1100 = 55

Year given = 7

So, 55 × 7 = 385

She would get after 7 years all total  = (1100 + 385) = $1485

do your work buddy and dont cheat

Step-by-step explanation:

dont cheat and actually study

The amount of time Jim spent on the bicycle is 6.5 hours.

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

Total distance, d = 255 miles,

Total time, t = 7 hours,

The speed of walking, s = 3 miles / hour,

The speed of riding bicycle, S = 39 miles/hour,

Calculate the time spent on the bicycle as shown below,

Total time = Time on bicycle + Time walking

7 = Distance on bicycle/speed + Distance of walking / speed

7 = b / 39 + w / 3

Here w is the distance by walking and b is the distance covered by bicycle,

b + w = 255 (As given)

Solve both equations,

w = 1.5 miles and b = 255 - 1.5 = 253.5 miles

Calculate the time spent on a bicycle as shown below,

The time spent on the bicycle = b / 39

The time spent on the bicycle = 253.5 / 39 = 6.5 hours

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The percent decrease of people who went to the pool is 25%.

Percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole. A percentage can be shown by the symbol % or, less frequently, by the abbreviation 'pct'.

Given

In first week = 1120

In second week

Subtracting,

1120 - 105

1015

In third week,

Sum

1015 + 140

1155

In fourth week

1155 - 315

840

The percentage of fewer persons that visited the pool during these four weeks,

1120 - 840/1120

280/1120

1/4

For percentage,

1/4 × 100%

25%

The percent decrease of people who went to the pool is 25%.

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A function is a relation where each conceivable input value results in exactly one potential output value. The phrase "the output is a function of the input" frequently used.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

An example of a rule is a function, which produces one output for a single input. Alex Federspiel is the picture's author. Y=X2 is an illustration of this. You only get one output for y if you enter anything for x. The fact that x is the input value leads us to say that y is a function of x.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

   3 ,-3 is an input value of the function

   0 is an output value of the function in this graph

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The slope intercept form of the given situation is y=3x+10.

y = mx + b is the slope-intercept form, where m is the slope and b is the y-intercept.

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of approaches.

Let x= $3 per game

and we have to add $10 for rental shoes. So slope form will ne

y= 3x+10.

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Answer:

Angle DFC is complementary to angle BFC

Step-by-step explanation:

AD is a straight line passing line EB. DFE, EFA, AFB and BFD are right angles as the lines are perpendicular.

DFB is divided into 2 angles by the segment FC

therefore

DFC + BFC = 90 degrees