find the height of the two pillar with same height​

Answer:

∠T = 130°

Step-by-step explanation:

The figure we are given is a quadrilateral, a 4 sided shape.

There are many different types of quadrilaterals, such as a rhombus, rectangle, etc.

How will we know which quadrilateral the given figure is?

We will have to look at the given properties of the figure to find out.

We are given that there are two adjacent pairs of congruent sides.

RS = RU, and ST = UT.

Thus, the given quadrilateral is a kite.

Now that we know that the given figure is a kite, we can utilize a kite's angle properties to find out ∠T.

In a kite, the non-vertex angles (∠S and ∠U) are congruent.

If ∠S = 60°, then ∠U = 60°.

In a kite, the sum of the interior angles is 360°.

Hence:

∠R + ∠S + ∠T + ∠U = 360°

Therefore, we can substitute the angles we know into the equation and solve for ∠T.

∠R + ∠S + ∠T + ∠U = 360°

110 + 60 + ∠T + 60 = 360

110 + 120 + ∠T = 360

230 + ∠T = 360

∴ ∠T = 130°

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Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Any three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.

Here,

Because angles 1 and 2 are close to one another, they are neighboring angles.

A They share a side and are near to each other, making them neighboring angles.

B. The angles are complimentary (add to 90 degrees) False—Angle 2 has a 90 degree angle.

C. They are additional angles. (add to 180) They do not create a straight line, which is untrue.

D. Vertical angles describe them. (Contrary angles) False, they are not created through the intersection of lines.

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

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The sum of the natural numbers is (a) 25

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

Number type = natural number

Condition = 5 times bigger than their last digit

This means that

Number = 5 * Last digit

Because the number is a natural number, then the number cannot end in 0

This is so because 0 is not a natural number

Solving further, the last digit of the number is at most, 9

Using the above as a guide, we have the following:

The number is at most 45 i.e. 5 * 9

Also, it means that it can not have more than 2 digits.

The above highlights in a nutshell is that the number is a multiple of 5 that does not end in 0 and the last digit is 5

Since the last digit is 5, then we have the number to be 25 i.e. 5 * 5

Hence, the number is (a) 25

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Answer: 3

Step-by-step explanation:

Factor of 15: ±1, ±3, ±5, ±15
Factor of 18: ±1, ±2, ±3, ±6, ±9, ±18
Factor of -45: ±1, ±3, ±5, ±9, ±45
=> GCF of 15, 18, -45 is 3

Answer:

If Samuel drives a compact car, he would need to buy 243.75 gallons of gas per year. If he drives a pickup truck, he would need to buy 250.25 gallons of gas per year. So he would need to buy 6.5 more gallons of gas per year if he drives a pickup truck compared to a compact car.

Step-by-step explanation:

y = 0.25x + 50 and y = 0.3x + 40 will be the equation to find the cost to rent a car.

A mathematical formula known as a cost function is used to visualize how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.

Costs are the dollar amount spent on materials, labor, services, goods, equipment, and other items for use by a company or other accounting organization.

y = 0.25x + 50

y = 0.3x + 40

The equations will be written as y = mx + b, or slope-intercept form. You must determine what you have in order to determine what belongs where.

They receive $50 per day plus $0.25 per mile from Rent-A-Wreck. This indicates that the $0.25 per mile is the number that changes daily. Thus, y = 0.25x + 50 will be the equation.

They receive $40 per day with $0.30 per mile from Drive-A-Lemon. This indicates that the $0.30 per mile is the number that changes daily. y = 0.3x + 40 will be the formula.

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Answer:

1. FC = 6

2. BC = 10

3. EC = 7

4. BA = 12

5. BC = 7

Step-by-step explanation:

⭐What is the centroid of a triangle?

Using the properties of a centroid, we can determine the lengths the problem is asking us for.

1. If CD = 12, find FC.

So if the median we need to look at is FD,

then CD : FC = 2:1

[tex]\frac{CD}{FC} = \frac{2}{1}\\\\\\\\[/tex] . . . . . . . . write the proportion

[tex]\frac{12}{FC} = \frac{2}{1}[/tex] . . . . . . . . . substitute the known values

[tex]12 = 2FC[/tex] . . . . . .  cross multiply

[tex]FC = 6[/tex] . . . . . . divide both sides by 2 to isolate FC

∴ FC = 6

2. If BG = 15, find BC

So if BG = 15, and BC is the distance from a vertex to the centroid, then BC is 2/3 of BG.

[tex]BC = \frac{2}{2}BG[/tex] . . . . . write equation

[tex]BC = \frac{2}{3}(15)[/tex] . . . . . substitute known values

[tex]BC = \frac{30}{3}[/tex] . . . . . . . . multiply numerators

[tex]BC = 10[/tex] . . . . . .  . . compute

∴ BC = 10

3. If AE = 21, find EC

So if AE is the full median, and EC is the distance from the centroid to the opposite side of a vertex, then EC is 1/3 of AE.

[tex]EC = \frac{1}{3}AE[/tex] . . . . . . . . write equation

[tex]EC = \frac{1}{3}(21)[/tex] . . . . . . . . substitute known values

[tex]EC = \frac{21}{3}[/tex] . . . . . . . . . . . multiply the numerators

[tex]EC = 7[/tex] . . . . . . . . . . . . compute

∴ EC = 7

4. If FA = 6, find BA

If BA is a side length that is bisected by a median, then FA is 1/2 of BA.

[tex]FA = \frac{1}{2}BA[/tex] . . . . . . . make equation

[tex]FA = \frac{1}{2}(6)[/tex] . . . . . . . . substitute known values

[tex]FA = \frac{6}{2}[/tex] . . . . . . . . . . . multiply the numerators

[tex]FA = 3[/tex] . . . . . . . . . . . compute

∴ FA = 3

5. If CG = 3.5, find BC

So if the median we need to look at is BG,

then BC : CG = 2:1

[tex]\frac{BC}{CG} = \frac{2}{1}[/tex] . . . . . . . . . . create the proportion

[tex]\frac{BC}{3.5} = \frac{2}{1}[/tex] . . . . . . . . . . substitute the known values

[tex]BC = 2(3.5)\\[/tex] . . . . . . . . cross multiply

[tex]BC = 7[/tex] . . . . . . . . . . . . . compute

∴ BC = 7

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Answer: As for the inequality question you asked,

-2/3, -11/3, and 2.5 are decimal numbers.

-11/3 is smaller than -2/3 because -3.67 is smaller than -0.67

-2/3 is smaller than 2.5 because -0.67 is smaller than 2.5

So the inequality that correctly orders the numbers -2/3, -11/3, and 2.5 is -11/3 < -2/3 < 2.5

It's worth noting that this inequality uses the less than (<) symbol to show the order of the numbers from the smallest to the largest, and it's also worth to remember that this inequality is true only for these specific values, if any of the values were changed it would've resulted in a different inequality.

Step-by-step explanation:

250% (percent) of 5a is 4b.

A percentage is a number or ratio that can be expressed as a fraction of 100.

here, given that,

a is 200% of b

i.e. a=2b

Now, 5a=10b

So, we have,

5a/4b

=10b/4b

=5/2

=250%

Hence, 250% (percent) of 5a is 4b.

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The expression x3 3x2 12x 19 is a polynomial expression in standard form.

To add 24 to this expression, we need to add 24 to each of the terms. This means that the answer is x3 + 3x2 + 12x + 43. To check our work, we can use theFOIL  method to expand the expression and make sure that the coefficients of each of the terms are correct. The FOIL method stands for First, Outer, Inner, Last. The first and last terms are the x3 and 43, the outer terms are 3x2 and 12x, and the inner terms are 3x2 and 12x. When we multiply these terms, we get x3 + 3x2 + 12x + 43, which is our final answer.

Calculation

x3 + 3x2 + 12x + (19 + 24)

= x3 + 3x2 + 12x + 43

The expression x3 3x2 12x 19 is a polynomial expression in standard form.

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If the student perform one trial of scientific experiment , and the result of that trial do not support the prediction , then the student should repeat the experiment , modify the experiment and can use alternative Method .

If in the Scientific Experiment the result does not support the prediction of the student in one trial , then the student can :

(i) Modify the Experiment :

The students can modify scientific experiment in other way and try again. For Example, they student change variables being tested or methods used to collect data.

(ii) Use Alternative Explanations :

The students can use alternative explanations for  results. It may be possible that the prediction was correct, but there were other factors  that may influence outcome of experiment.

(iii) Repeat the Experiment :

The student can repeat the experiment by the same procedures to see if he gets same results and if results are consistent, it can concluded that the prediction was incorrect .

The given question is incomplete , the complete question is

Student perform one trial of a scientific experiment if the result of that trial do not support the prediction what should the student do next ?

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The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given expression,
h(x) = x² - 1

Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).

Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

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The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.

All of the inner angles and all of the vertices must be smaller than 180 degrees for a convex hexagon. There are both regular and irregular convex hexagons.

There are no angles inside a convex hexagon. More specifically, no internal angle may exceed 180 degrees. Any internal angle that exceeds 180 degrees is concave.

Let the side length be x

The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.

Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.

Let the equation be

2116(√2 + 1)  = x²√2 + x²

simplifying the above equation, we get

2116(√2 + 1)  = x²(√2 + 1)

2116 = x²

x = 46

Therefore, the value of AB exists 0.46.

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The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.

A convex hexagon requires that all of the inner angles and all of the vertices be smaller than 180 degrees. Convex hexagons come in both regular and irregular varieties.

The interior of a convex hexagon is flat. No internal angle may be greater than 180 degrees, to be more precise. Concavity is defined as an interior angle greater than 180 degrees.

Let the side length be x

The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.

Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.

Let the equation be

2116(√2 + 1)  = x²√2 + x²

simplifying the above equation, we get

2116(√2 + 1)  = x²(√2 + 1)

2116 = x²

By taking root both sides,

x = 46

Therefore, the value of AB exists 0.46.

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The volume of Pill Bluetooth Speaker is 39.78 cubic inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.

The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.

Radius =2/2 1 inch

We know that, the volume of semi sphere is 2/3 πr³

= 2/3 ×3.14×1³

= 2.1 cubic inches

We know that, 1 foot =12 inches

The volume of cylinder is πr²h

= 3.14×1²×12

= 37.68 cubic inches

Total volume =37.68+2.1

= 39.78 cubic inches

Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.

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"Your question is incomplete, probably the complete question/missing part is:"

Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.

a) Volume of the Bluetooth Speaker ______

Answer:

  all positive numbers

Step-by-step explanation:

You want to know the domain of the log function.

The log function ln(x) is defined for all x > 0. A log function with any other base is similarly defined.

  log function domain: all positive numbers

A parent log function has a vertical asymptote at x=0, and an x-intercept at x=1. Its vertical scaling will depend on the base of the logarithm. Like any function, it can be translated and scaled horizontally and vertically.

__

Additional comment

In the field of complex numbers, the log function is defined for any non-zero number. For example, ln(-1) = πi.

The range is all real numbers.

Remembering the ratio of 1: 3: 2 and understanding that the smallest side length is always opposite the shortest angle (30°) and the longest side length is always opposing the greatest angle (90°) can help you recall the 30-60-90 triangle principles.

A 30-60-90 triangle can have three sides, and if you only know one, you can use shortcuts to discover the other two. The three scenarios you encounter when performing these computations are as follows:

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The equation that will make a system with infinite solutions is the third option.

y = 2x + 6

A system of linear equations will have infinite solutions only if the two equations represent the same line.

Here we know that one of the linear equations of the system is:

2y - 4x = 12

If we now divide the whole equation by 2, we will get:

(2y - 4x)/2 = 12/2

y - 2x = 6

Now we can move the "2x" term to the right side, then we will get.

y = 2x + 6

So the equations:

y = 2x + 6

2y - 4x = 12

Represent the same line, then that system will have infinite solutions.

Finally, the correct option is the third one.

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(0.1), (2,5), (1/2,2), (-1,-1) are the points on graph.

In mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way. The relationships between two or more things are frequently represented by the points on a graph.

A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, also referred to as vertices, in a graph are connected by edges. The vertex numbers in this graph are 1, 2, 3, and 5, and the edge numbers are 1, 2, 1, 3, 2, 4, and 5, respectively.

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By adding a duplicate of the identity matrix to the augmented matrix, which was formed, it is possible to find the inverse of a square matrix using row reduction.

If the matrix is capable of being reduced to the identity, the identity matrix will simultaneously change into the inverse matrix. A rectangular array of numbers, arranged in rows and columns, is referred to as a matrix. The dimension, or order, of a matrix, indicates how many rows and columns there are in the array. For example, if a matrix has m rows and n columns, its order is expressed as mxn.

Correct Question :

How do you find the inverse of a 4x4 matrix?

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The minimum and maximum possible heights of the bowling pin are 14.96875 inches  and 15.03125 inches

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

Absolute deviation = 0.03125 inches

Height = 15 inches

The minimum is calculated as

Minimum = Height - Absolute deviation

Substitute the known values in the above equation, so, we have the following representation

Minimum = 15 - 0.03125 inches

Minimum = 14.96875 inches

The maximum is calculated as

Maximum = Height + Absolute deviation

Substitute the known values in the above equation, so, we have the following representation

Maximum = 15 + 0.03125 inches

Minimum = 15.03125 inches

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6.666666666666666 (6.6 repeating, I just don’t know how to use the sign online)

I multiplied 3 1/3 by 2

Answer:

s = 11.cm

Θ = 2.2.radians

Step-by-step explanation:

Answer: 718

Step-by-step explanation:

The formula for determining the cost of the cell phone bill (when more than the base number of minutes is used) is

c=p+(m−b)r

Where:

c is the total cost of the bill: $48.10 for this problem.

p is the base price of the plan: $40 for this problem.

m is the number of minutes used: what we are solving for this problem.

b is the base number of minutes allowed: 700 for this problem

r is the rate for additional minutes: 0.45 for this problem

Substituting and solving for m gives:

$48.10 = $40.00 + (m − 700)$0.45

$48.10 − -$40- = $40.00 − -$40- + (m − 700)$0.45 $8.10= 0 + (m−700)$0.45

$8.10 = (m - 700)$0.45

$8.10 = ($0.45 × m) − ($0.45 × 700)

$8.10 = $0.45m − $315.00

$8.10 + -$315.00- = $0.45m − $315.00 + -$315.00-

$323.10 = $0.45m − 0

$323.10 = $0.45m

[tex]\frac{323.10}{-0.45-}=\frac{0.45m}{-0.45-}[/tex] (Money)

[tex]\frac{323.10}{0.45}=\frac{0.45m}{0.45}[/tex] (Money): cross out the dollar sign for 323.10 and 0.45 under it... then cross out 0.45m but leave the m, and then cross out 0.45 under it.

[tex]\frac{323.10}{-0.45-}=m[/tex]

718 = m

m = 718

John used 718 total minutes during the month.

The x-intercept in a quadratic formula is where the graph of the function crosses the x-axis.

An x-intercept is a point on the graph of a function where the y-coordinate is equal to zero. In other words, it's a point on the graph where the function intersects the x-axis. The x-intercepts of a quadratic formula can be found by setting the y-value equal to zero and solving for x.

The quadratic formula is typically in the form of ax^2 + bx + c =0, thus by setting y=0 we get x = -b/2a and x = -b/2a, these are the x-intercepts where the graph of the function will cross the x-axis. The x-intercepts are also known as the roots or zeroes of the function, and are important for understanding the overall shape of the graph.

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Therefore , the solution to the given question of percentage comes out to be 7.89.

A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.

Here,

Given : 40% of the money, a Trainer is given

30% of the money ,a student lead

Find the discount

40 * .15 = 6

Take this from the original price

0.30* 6.3 =1.89

The sale price is 6 + 1.89 =7.89

Therefore , the solution to the given question of percentage comes out to be 7.89.

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To solve many simultaneous linear equations, use the substitution method in algebra.

The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.

The first stage in the substitution approach is to determine any variable's value in terms of the other variable from one equation. If there are two equations, x+y=7 and x-y=8, for instance, we can deduce from the first equation that x=7-y. The substitution approach is applied in this manner as the first stage.

There are three steps in the substitution technique:

Therefore, the answer is x= -2 and y= -8.

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Answer: 6.280

Step-by-step explanation: