what is one and half right angle​

Answers

Answer 1

Answer: 135°

Step-by-step explanation:

1 and 1/2 right angle.

1 right angle is 90°

1/2 of a right angle = 45°

so 1 and 1/2= 90+45=135°


Related Questions

PLEASE HELP!

See the image below!

Answers

Answer:

A ≈ 199.98

Step-by-step explanation:

the area (A) of Δ ABC can be calculated as

A = [tex]\frac{1}{2}[/tex] ab sinΘ ( substitute values for a, b and Θ )

  = [tex]\frac{1}{2}[/tex] × 25 × 33 × sin29°

  = 12.5 × 33 × sin29°

  ≈  199.98 ( to 2 decimal places )

What does the constant term represent?

Answers

In a polynomial expression, the constant term is the term that does not contain a variable. It is a term that has a fixed value, or a coefficient that is not multiplied by any variable. For example, in the polynomial expression 4x^2 + 3x - 2, the constant term is -2. The constant term represents a fixed value or a y-intercept on a graph of the polynomial. It is the value of the polynomial when x is equal to zero. In other words, the constant term is the value of the polynomial when there are no x terms present.

please see photo thank you

Answers

Answer:

look below

Step-by-step explanation:

formula A=1/3 Bh

1/3 ×8×5×5

8x5x5=200

200/3=66.66666 round to 66.77cubic metets

A 16 ounce bottle of spring water is $2.08. A 20 ounce bottle of fresh water is $2.40. Which statement is true ?

Answers

A 16 ounce bottle of spring water is $2.08. A 20 ounce bottle of fresh water is $2.40 Therefore, this statement "A 20 ounce bottle of fresh water is $2.40" is true.

To determine which statement is true, let's compare the prices of the two water bottles:

16 ounce bottle of spring water: $2.08

20 ounce bottle of fresh water: $2.40

To find the price per ounce for each water bottle, we can divide the total price by the number of ounces:

Price per ounce of spring water: $2.08 / 16 ounces = $0.13 per ounce

Price per ounce of fresh water: $2.40 / 20 ounces = $0.12 per ounce

Comparing the prices per ounce, we can see that the price per ounce of fresh water ($0.12) is less than the price per ounce of spring water ($0.13).

Therefore, the statement "A 20 ounce bottle of fresh water is $2.40" is true.

for such more question on statement

https://brainly.com/question/15169974

#SPJ8

Please answer this question

Answers

It will take the ball 2.12s to the nearest hundredth to hit the ground.

What is quadratic formula?

Quadratic formula is a formula that gives the solutions of the general quadratic equation ax² + bx + c = 0 and that is usually written in the form

x = (-b ± √(b2 − 4ac))/(2a)

From the question, the initial height, h, of the ball is 40 ft

When the ball hits the ground, the height, h, is zero

The equation h = - 16t² + 15t + 40 becomes

0 = - 16t² + 15t + 40

16t² - 15t - 40 = 0

Solving the quadratic equation by formula method for t,

t = (-b ± √(b² - 4ac)) / (2a)

Where, a = 16, b = -15, and c = -49

Substitute these values into the quadratic formula,

t = (15 ± √2785) / 32

Therefore, the possible values of t are:

t = (15 + √2785) / 32

t = (15 - √2785) / 32

Which implies t = 2.12 or t = - 1.18

Since time, t, cannot be negative, t = 2.12s to the nearest hundredth.

Learn more about quadratic formula here:

https://brainly.com/question/1214333

#SPJ1

What is your monthly take-home pay if your take-home pay is calculated as 40 hours from Monday to Friday and 8 hours two Saturdays per month; regular
hourly rate is $15.20; pay is double for weekends; 29% is deducted for taxes and insurance? Round intermediate calculations and the final answer to the
nearest cent; use 52 weeks in a year.
Your monthly take-home pay is $?.

Answers

Step-by-step explanation:

To calculate your monthly take-home pay, you can use the following formula:

```

Monthly take-home pay = (Regular hourly rate x 40 hours x 5 days) + (Regular hourly rate x 8 hours x 2 Saturdays x 4 weeks) x 2 - Deductions

```

Where:

- Regular hourly rate = $15.20

- Deductions = 29% of gross pay

First, let's calculate the gross pay for one month:

```

Gross pay = (Regular hourly rate x 40 hours x 5 days) + (Regular hourly rate x 8 hours x 2 Saturdays x 4 weeks) x 2

= ($15.20 x 40 x 5) + ($15.20 x 8 x 2 x 4) x 2

= $3,424

```

Next, let's calculate the deductions:

```

Deductions = Gross pay x 29%

= $3,424 x 0.29

= $992.96

```

Finally, let's calculate the monthly take-home pay:

```

Monthly take-home pay = Gross pay - Deductions

= $3,424 - $992.96

= $2,431.04

```

Therefore, your monthly take-home pay is **$2,431.04**.

List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). (Enter your answers as a comma-separated list.)
T(x) = 9x4 − 3x2 − 7

Answers

Answer:

The rational zeros theorem states that all possible rational zeros of a polynomial with integer coefficients are of the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.

In this case, the constant term is -7 and the leading coefficient is 9. Thus, the possible rational zeros are:

p/q = ±1, ±7, ±9

The graph represents the piecewise function: f (x) ={ , if -3

Answers

The domain and the range of the function are

Domain = (-∝, ∝)Range = (0, ∝)How to determine the domain and range of the function

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

The graph

The graph is a piecewise function

When combined gives an absolute function

The rule of a function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is greater than the constant term

In this case, it is 0

So, the range is y > 0

Read more about domain and range at

brainly.com/question/27910766

#SPJ1

Question

The graph represents the piecewise function:

f(x) =

What is the domain and range of the function

Find the inverse of the function f(x) = e^(x −3) + 7

Answers

To find the inverse of the function f(x) = e^(x −3) + 7, we need to switch x and y and solve for y:

x = e^(y −3) + 7

Subtracting 7 from both sides, we get:

x - 7 = e^(y −3)

Taking the natural logarithm of both sides, we get:

ln(x - 7) = y - 3

Adding 3 to both sides, we get:

ln(x - 7) + 3 = y

Therefore, the inverse of the function f(x) = e^(x −3) + 7 is:

f^(-1)(x) = ln(x - 7) + 3

The shape is being enlarged using a scale factor of 2 and centre (6,3).

Answers

The coordinates of A' and B' include the following:

A' (4, 7).

B' (10, 9).

What is a dilation?

In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 2 centered at the point (6, 3) by using the following mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate A', we have;

Coordinate A' = (5, 5)  →  (2(5 - 6) + 6, 2(5 - 3) + 3)

Coordinate A' = (5, 5)  →  (2(-1) + 6, 2(2) + 3)

Coordinate A' = (5, 5)  →  (-2 + 6, 4 + 3)

Coordinate A' = (5, 5)  →  (4, 7)

For coordinate B', we have;

Coordinate B' = (8, 6)  →  (2(8 - 6) + 6, 2(6 - 3) + 3)

Coordinate B' = (5, 5)  →  (2(2) + 6, 2(3) + 3)

Coordinate B' = (5, 5)  →  (4 + 6, 6 + 3)

Coordinate B' = (5, 5)  →  (10, 9)

Read more on dilation here: brainly.com/question/20482938

#SPJ1

find f o g and g o f
f(x)= x^3, g(x)=x^2/3

Answers

Answer:

f(g(x)) = f((x^2/3)

(x^2/3)^3

continue solving

02
04
4
O 3
O
8₁
1
How many significant figures does the following number have?
420

Answers

The significant numbers in 420 are 4 and 2.

How many significant figures does the following number have?

Significant numbers are digits that is nonzero or, when zero, followed either by a nonzero digit or by further zeros and then a nonzero digit.

Significant numbers are digits 1 to 9

All zeros between integers are significant.

Zero’s preceding the first integers are insignificant.

Zero’s after the decimal point are significant.

Zeroes used for spacing the decimal point are not significant.

Therefore, it can be concluded that there are 2 significant numbers in 420 which are 4 and 2.

Read more on significant figures:

https://brainly.com/question/24491627

#SPJ1

what is the volume of the rectangular prism length =9m width = 12m height =5m

Answers

The volume of the rectangular prism with a length of 9m, width of 12m, and height of 5m is 540 cubic meters.

To find the volume of a rectangular prism, we multiply its length, width, and height.
Given that the length is 9m, the width is 12m, and the height is 5m, we can calculate the volume as follows:

Volume = Length x Width x Height

Substituting the given values:

Volume = 9m x 12m x 5m

To perform the multiplication, we can multiply the numerical values first and then consider the units:

Volume = (9 x 12 x 5) m³

Multiplying the numbers:

Volume = 540 m³

Therefore, the volume of the rectangular prism with a length of 9m, width of 12m, and height of 5m is 540 cubic meters.


For more such information on rectangular prism volume, visit:
https://brainly.com/question/30095130

#SPJ8

The relation of a line graph is visualized by drawing
lines between all of the points on a grid.

Answers

The relation of a line graph is visualized by drawing lines between all of the points on a grid is false.

What is a line graph?

A line graph is a type of graph that uses lines to connect data points. The points are typically plotted on a grid, but the lines do not need to connect all of the points. In fact, it is often more helpful to only connect the points that are relevant to the data that you are trying to visualize.

For example, when graphing temperature over time, there is only need to connect the points that represent the temperature at each hour. There is no need to connect the points that represent the temperature at midnight, 2am, 4am, etc.

Find out more on line graph here: https://brainly.com/question/30090282

#SPJ1

Complete question:

The relation of a line graph is visualized by drawing lines between all of the points on a grid. Is this true or false? Explain your answer.

a motorist travels 210 miles in 5 hour n it will take ------ hours to travel 1386 miles

Answers

The time needed to travel 1386 miles is given as follows:

t = 33 hours.

What is the relation between velocity, distance and time?

Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:

v = d/t.

The motorist travels 210 miles in 5 hours, hence the velocity is given as follows:

v = 210/5

v = 42 miles.

Then the time needed to travel 1386 miles is given as follows:

42 = 1386/t

42t = 1386

t = 1386/42

t = 33 hours.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

#SPJ1

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Simplify the following expression, and then find its value.


The simplified expression is 6 raised to the power of
.

The value of the simplified expression is
.

Answers

The simplified expression is 1,675,616. the value of the expression is 1,675,616.

To find the simplified expression and the value of 6 raised to a power, follow the steps given below:

Step 1: Simplify the expression Firstly, the simplified expression is obtained by using the rule of exponents, which states that if a number raised to a power is multiplied by the same number raised to another power, then the resulting power is the sum of the two powers.

6 raised to the power of 2 is 6 × 6 = 36.6 raised to the power of 3 is 6 × 6 × 6 = 216.6 raised to the power of 4 is 6 × 6 × 6 × 6 = 1296.6 raised to the power of 5 is 6 × 6 × 6 × 6 × 6 = 7776.

Step 2: Find the value of the expression

From these results, it can be seen that when 6 is raised to an even power, the resulting number is even, and when 6 is raised to an odd power, the resulting number is odd. This is because 6 is an even number.

In general, if a number is even, then the result obtained when it is raised to an even power is even, and the result obtained when it is raised to an odd power is odd.

If a number is odd, then the result obtained when it is raised to any power is odd. 6 raised to the power of 8 can be written as 6 raised to the power of 4 raised to the power of 2, as shown below 6 raised to the power of 8 = (6 raised to the power of 4) raised to the power of 2= 1296 raised to the power of 2= 1,675,616

For more such questions on expression

https://brainly.com/question/1859113

#SPJ8

3. Set up and solve an equation to
find the missing angle
measurements in the following:
H
4x - 20
G
2x
2G=
ZH=
21=
||
2x
I

Answers

The missing angle measurements are:

Angle G = 66.67 degrees

Angle H = 113.32 degrees

Angle Z = 66.68 degrees

Angle I = 66.68 degrees

Let's analyze the given information and solve for the missing angle measurements:

From the diagram, we can see that angle H and angle G are adjacent angles, and the line segment HG acts as a transversal. We are given that the measure of angle G is 2x, and we need to find the missing angle measurements, which are the measures of angle H, angle Z, and angle I.

Since angle G and angle H are adjacent angles, their measures add up to 180 degrees. So we can set up the equation:

2x + (4x - 20) = 180

Simplifying the equation:

6x - 20 = 180

Next, we solve for x:

6x = 200

x = 200/6

x = 33.33

Now that we have found the value of x, we can substitute it back into the original equation to find the measures of the missing angles:

Angle G = 2x = 2(33.33) = 66.67 degrees

Angle H = 4x - 20 = 4(33.33) - 20 = 133.32 - 20 = 113.32 degrees

Angle Z = 180 - Angle H = 180 - 113.32 = 66.68 degrees

Angle I = Angle Z = 66.68 degrees

For more such question on angle. visit :

https://brainly.com/question/31615777

#SPJ8

The diagram shows a model of a pyramid mounted on a base in the shape of a cuboid.
The length and width of the cuboid are both 25cm and its height is 4cm. Each of the
four faces of the pyramid is an equilateral triangle with side length 18cm. The model is
to be painted all over, except for the underside of the base, which will not be visible.
Fill in the gaps, giving your answers to three significant
figures where appropriate.
(a) The visible surface area of the cuboid is
(b) The visible surface area of the pyramid is
(c) The total surface area to be painted is
cm².
cm².
cm².
18
25

Answers

The surface areas are given as;

a.  2700 cm²

b. 280. 6 cm²

c. 815. 3 cm²

How to determine the surface area

The formula for calculating the surface area of a cuboid is expressed as;

Surface area (SA) = 2lw+2lh+2hw

Such that l is the length, w is the width and h is the height

Substitute the values, we have;

a. Surface area = 2(25×25) + 2(4 ×25) + 2(25 ×25)

expand the bracket, we have;

Surface area = 1250 + 200 + 1250

Surface area = 2700 cm²

b. Surface area of the pyramid = √3/ 2a²

Substitute the value

Surface area = √3 /2 × 18²

Find the square, we have;

Surface area = 280. 6 cm²

c. The total surface area to be painted ;

= 675 + √3/4a²

= 675 + 140.3

= 815. 3 cm²

Learn more about surface area at: https://brainly.com/question/76387

#SPJ1

Which description does NOT guarantee that a quadrilateral is a parallelogram?


a quadrilateral with consecutive angles supplementary


a quadrilateral with the diagonals bisecting each other


a quadrilateral with both pairs of opposite sides congruent


quadrilateral with two opposite sides parallel

Answers

The description that does NOT guarantee that a quadrilateral is a parallelogram is:

a quadrilateral with consecutive angles supplementary.

Why the statement is not a guarantee

While it is true that consecutive angles in a parallelogram are supplementary (their sum is 180 degrees), the converse is not true. In other words, having consecutive angles that are supplementary does not necessarily imply that the quadrilateral is a parallelogram.

There are other types of quadrilaterals, such as trapezoids or irregular quadrilaterals, that can also have consecutive angles that are supplementary.

Learn more about parallelogram  at

https://brainly.com/question/970600

#SPJ1

Find the sizes of the three unknown angles in
the image below.
Give your answers in degrees (°).
b
с
a
34°

Answers

B=34° because it is vertically opposite to angle 34°

Then u do 34°+34°=68°
Then u do 360-68=292
Then u do 292/2= 146
Then and c and a are 146°

Answer:

Step-by-step explanation:

A particular restaurant can legally have only 150 people in it at one time. The tables in the restaurant can seat 4 people at a time. The number of tables, t, in the restaurant can be represented by the inequality 4t < 150. What is the maximum number of tables the restaurant can have?
.

Answers

The maximum number of tables the restaurant can have is 37. This ensures that the total number of people seated at the tables (37 * 4 = 148) is less than the legal limit of 150 people in the restaurant at one time.

To find the maximum number of tables the restaurant can have, we need to solve the inequality 4t < 150.

Dividing both sides of the inequality by 4, we have:

t < 150/4

Simplifying the right side, we get:

t < 37.5

Since the number of tables must be a whole number, we can conclude that the maximum number of tables the restaurant can have is 37.

Let's verify this by substituting t = 37 into the original inequality:

4t < 150

4(37) < 150

148 < 150

Since 148 is less than 150, the inequality holds true. However, if we increase the number of tables to 38, we get:

4(38) < 150

152 < 150

In this case, 152 is not less than 150, so the inequality is no longer satisfied.

For more such question on number visit:

https://brainly.com/question/24644930

#SPJ8

If the time is between 8:00 a.m. and 3:00 p.m., then the bank is open.
If the bank is open, then people may make withdrawals or deposits.
Therefore, if …

Answers

Therefore, if the time is between 8:00 a.m. and 3:00 p.m., then people may make withdrawals or deposits at the bank.

This conclusion is based on the given premises that the bank is open during the time between 8:00 a.m. and 3:00 p.m. and that when the bank is open, people may make withdrawals or deposits. By combining these premises with modus ponens (a valid form of deductive reasoning), we can infer that if the time is within the bank's operating hours, then people may make withdrawals or deposits at the bank.

Which statement best explains whether the data in the following table represents a linear or nonlinear function?

x y
−4 4
−1 2.5
0 2
4 0

The table represents a nonlinear function because the graph shows a rate of change that is decreasing.
The table represents a linear function because the graph shows a rate of change that is increasing.
The table represents a nonlinear function because the graph does not show a constant rate of change.
The table represents a linear function because the graph shows a constant rate of change.

Answers

Given statement solution is:- The statement that best explains whether the data in the table represents a linear or nonlinear function is:

The table represents a nonlinear function because the graph does not show a constant rate of change.

When x increases from -1 to 0, y changes from 2.5 to 2, which is a rate of change of -0.5. These varying rates of change indicate a nonlinear relationship between x and y.

The statement that best explains whether the data in the table represents a linear or nonlinear function is:

The table represents a nonlinear function because the graph does not show a constant rate of change.

In the given table, the values of y do not change at a constant rate as x increases or decreases. For example, when x increases from -4 to -1, y changes from 4 to 2.5, which is a rate of change of -1.5. However, when x increases from -1 to 0, y changes from 2.5 to 2, which is a rate of change of -0.5. These varying rates of change indicate a nonlinear relationship between x and y.

For such more questions on Nonlinear function explained.

https://brainly.com/question/1418397

#SPJ8

The price of an item has risen to $119 today yesterday it was $85 what is the percentage Increase

Answers

The price has increased by approximately

40%.

How to find the percentage increase

To calculate the percentage increase, we use the following formula:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

given data:

New Value = $119

Old Value = $85

Percentage Increase = (($119 - $85) / $85) * 100

= ($34 / $85) * 100

≈ 40%

Therefore, the price has increased by approximately 40%.

Learn more about percentage Increase at

https://brainly.com/question/28398580

#SPJ1

Given the points A(-2, 1) and B(3, 4), what are the coordinates of point C in the fourth
quadrant such that mZCAB= 90 degrees and AB = AC? Express your answer as an ordered pair.
degree

Answers

The coordinates of C are (121/6, -47/15).Therefore, the answer is (121/6, -47/15 )Answer: (121/6, -47/15)

The given points are A (-2, 1) and B (3, 4).

We need to determine the coordinates of point C in the fourth quadrant such that m∠CAB=90° and AB=AC.

In order to determine the coordinates of point C,

The slope of ABThe slope of the line passing through A(-2, 1) and B(3, 4) is given bym = (y₂ - y₁) / (x₂ - x₁)m

= (4 - 1) / (3 - (-2))m

= 3 / 5

The mid-point of A and BMid-point of A and B is given by the following formula:

Mid-point = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Mid-point of AB is: ((-2 + 3) / 2, (1 + 4) / 2)

= (1/2, 5/2)

The slope of the line perpendicular to AB

The slope of the line perpendicular to AB is given by the following formula: m₁ * m₂ = -1

Where m₁ is the slope of AB and m₂ is the slope of the line perpendicular to ABm₁ = 3 / 5m₂ = - 5 / 3 (as the line is perpendicular to AB and the product of slopes of two perpendicular lines is -1)

The mid-point and the slope of the line perpendicular to AB to find the coordinates of C

Let the coordinates of C be (x, y)We know that AC = AB and we know the coordinates of A (-2, 1) and mid-point of AB (1/2, 5/2).

Simplifying this equation, we get:

15b = 47b = 47 / 15

Substituting this value of b in the equation we got earlier:

a = (70 + 20b) / 8

= (70 + 20(47/15)) / 8

= 121 / 6

For more related questions on coordinates:

https://brainly.com/question/32836021

#SPJ8

Statements
1
Quadrilateral ABCDwith m/A= (10z), m/B= (8x), m/C= (10z)",
and m/D= (8x)".
2 m/A+m/B+m/C+m/D=360°
3 (10x)+(8x) + (10x) + (8x) = 360°
4
5 x=10
Reasons
Given
Substitution Property
Combine like terms

Answers

We can solve for x:

20z + 16x = 360°

16x = 360° - 20z

x = (360° - 20z)/16

Quadrilateral ABCD is given with the measures of angles:

m∠A = 10z

m∠B = 8x

m∠C = 10z

m∠D = 8x

The sum of the measures of the angles of a quadrilateral is 360°:

m∠A + m∠B + m∠C + m∠D = 360°

Substituting the given angle measures:

(10z) + (8x) + (10z) + (8x) = 360°

Combine like terms:

20z + 16x = 360°

Given the equation from step 4, we can solve for x:

20z + 16x = 360°

16x = 360° - 20z

x = (360° - 20z)/16

Reasons:

Step 1: The given angles are labeled with their corresponding measures.

Step 2: The sum of the measures of the angles of a quadrilateral is a geometric property.

Step 3: Substitution of the given angle measures into the equation for the sum of angles.

Step 4: Combining like terms by adding the coefficients of z and x.

Step 5: Solving the equation for x by isolating it on one side.

For more questions on solve

https://brainly.com/question/24644930

#SPJ8

18
X
24
18
These shapes
are similar.
Find X.
8
12

Answers

The value of x in the similar shapes is 10

How to calculate the value of x in the similar shapes

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

The similar shapes

On the shapes, we have

x/20 = 5/10

Multiply through the equation by 20

So, we have

x = 20 * 5/10

Evaluate

x = 10

Hence, the value of x is 10

Read more about similar shapes at

https://brainly.com/question/32122930

#SPJ1

Rewrite each fraction with a denominator of 12.
3
4
5
3

Answers

The equivalent fractions with a denominator of 12 are

3/4 = 9/125/3 = 20/12

How to rewrite the fractions

To rewrite each fraction with a denominator of 12, we need to find an equivalent fraction that has 12 as its denominator.

3/4 can be rewritten as (3/4) * (3/3) = 9/12.

5/3 can be rewritten as (5/3) * (4/4) = 20/12.

Therefore, the fractions with a denominator of 12 are:

3/4 = 9/12

5/3 = 20/12

Learn more about fraction at

https://brainly.com/question/17220365

#SPJ1

complete questions

Rewrite each fraction with a denominator of 12.

3/4

5/3

The rectangular tank shown below was 4/5 filled with water. how many more litres of water were needed to fill up the tank?

Answers

The volume of water required to fill up the tank is: 540 cm³

How to find the volume of the cuboid?

The formula for the volume of a cuboid is:

Volume = Length * Width * Height

Thus:

Volume of bigger tank = 15 * 15 * 12

Volume = 2700 cm³

Now, we are told that it is 4/5 filled with water.

Thus, volume needed to fill up the tank is:

¹/₅ * 2700

= 540 cm³

Read more about Volume of Cuboid at: https://brainly.com/question/46030

#SPJ1

what is equivalent to 3 radical 6

Answers

The equivalent expression to [tex]3\sqrt{6}[/tex] is given as follows:

[tex]\sqrt{54}[/tex]

How to obtain the equivalent expression?

Two expressions are defined as equivalent expressions when they have the same result.

The expression for this problem is given as follows:

[tex]3\sqrt{6}[/tex]

For the equivalent expression, we can move the outer term 3 inside the root, with it being squared, as follows:

[tex]3\sqrt{6} = \sqrt{3^2 \times 9} = \sqrt{54}[/tex]

More can be learned about equivalent expressions at brainly.com/question/15775046

#SPJ1

Other Questions
Consider the function ln(1+12x). Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were n=0[infinity]3nx2n, you would write 1+3x2+32x4+33x6+34x8. Also indicate the radius of convergence. Partial Sum: Radius of Convergence: explain the 90% rule of energy pyramids who does simone end up with in all american homecoming MarketingQuestion 2 (2 points) When should an organization use the Piggybacking strategy? a man with a mass of 100 kg wants to push off the ground with one foot (as if jumping to shoot a layup in basketball) so that he moves upward with an acceleration equal to g. the balls of his foot are located 12 cm from his ankle, and his achilles tendon is attached to his heel bone 2 cm away from his ankle. what force must his achilles tendon exert? (use 10 m/s2 for g.) (also: don't forget to add his weight.) Molecular Iodine, I2 (g), dissociates into iodine atoms at 625 Kwith a firs-order rate constant of 0.271 s -1Part A) What is the half-life for this reaction?Part B) If you start with 0.035 M of I2 Consider the fictional species, and suppose that the population can be divided into three different age groups: babies, juveniles and adults. Let the population in year n in each of these groups be X(n) = Xb(n) Xj(n) xa(n) The population changes from one year to the next according to x(n+1) = is A = Ax(n), where the matrix A 1/2 5 3 1/2 0 0 0 2/3 0 In the long term, what will be the relative distribution of the population amongst the age groups? Required information [The following information applies to the questions displayed below] On January 1, the Matthews Band pays $65,400 for sound equipment. The band estimates it will use this equipment for four years and perform 200 concerts. It estimates that after four years it can sell the equipment for $1,000. During the first year, the band performs 45 concerts. Compute the first-year depreciation using the units-of-production method. A carboxylic acid reacts with itself to form an ether. an amine. an aldehyde. an acid halide. an anhydride. assume tesla has a 14 year 6.5% annual coupon bond with a ytm of 3.4%. if a 14 year treasury bond has a coupon rate of 6.5% and a ytm of 3.1%, what is the default risk premium for investing in tesla? the american government has its roots in a seventeenth and eighteenth century european movement that questioned the traditional authority of the monarch to rule and was known as which of the following? The claims of the conservative Tea Party focused on a. A denunciation that racial inequality continued to exist. b. The growth of the federal government and immigration policies. c. Reducing the overbearing power the Obama administration was giving to the states. d. The president wanting to repeal the Fourteenth Amendment birthright to citizenship Discuss The Continuity Of The Function On The Closed Interval. Function Interval F(X)={7X,7+21x,X0x>0[2,3] The Function Need help please show work! A strip of metal was immersed in a solution of aluminum sulfate. No apparent reactionwas observed. It has then immersed in a solution of tin (II) nitrate and became coatedwith tin. The metal is:(a) less active than tin but more active than aluminum(b) both tin and aluminum are equally reactive(c) both tin and aluminum are not reactive(d) less active than aluminum but more active than tin If the trends in the population pyramids continue what will the population of Germany look liek in 20 or 50 years Pls help with my homework Carbon dioxide and water react to form methane and oxygen, like this: \[ \mathrm{CO}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(g) \rightarrow \mathrm{CH}_{4}(g)+2 \mathrm{O}_{2}(g) \] The reaction is endothe Design water treatment plant develop a "Preliminary System Design" for the "Redbox".Documentation of the usage of MATLAB to draw a Functional Block Diagram for thesystem and subsystems. Submit all MATLAB work!A human-machine interface that allows users to explore the movie catalog, submit their information, choose a payment option, and other information like the return date. For ease of surveillance and catalog audit, the system should also have a storage solution for client information and a log of who rented what and when