Ruby read 12 pages of a book in 18 minutes. How many pages can she read per HOUR?

Answer:

For # 3

Step-by-step explanation:

BOTH of the angles at K are equal , thus you have the Side-Angle-Side theorem of congruency, often abbreviated S A S

Answer: It is approximately 49.2126 or 49, for short.

Step-by-step explanation:

For a more approximate result, multiply the length value by 3.281

49.21 feet or 15 meters are the same.

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The required amount Alfred owes is given as $10712 for a year.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
Let the amount owes be x,
According to the question,
x = 10400 + 3% of 10400
x = 10400 + 312
x = 10712

Thus, the required amount Alfred owes is given as $10712 for a year.

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Answer:

Reflexive Property

Answer:

reflexive property

Step-by-step explanation:

We can use the reflexive property to state that LN = LN.

It states that a value is equal to itself.

Conjugations and real structures are important tools used to study complex vector spaces.

A vector is a mathematical object with magnitude and direction. A complex vector space is a vector space where the vectors have complex numbers as components.

Conjugation is a mathematical operation that involves changing the sign of the imaginary part of a complex number.

Real structures refer to certain mathematical objects or operations that preserve the real part of a complex number.

The relationship between the concepts of conjugate complex vector space and conjugations/real structures is that they are both used to study complex vector spaces.

A conjugate complex vector space is a complex vector space equipped with a conjugation, which is an antilinear and involatile map.

The conjugation on a complex vector space allows us to distinguish between real and imaginary parts of a vector.

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a) The equation in slope-intercept form is y = 112.5x - 11,875, where x is the age of the tree in years and y is the number of board feet that can be created from the tree.

b) The independent variable represents the age of the tree in years.

c) The dependent variable represents the number of board feet that can be created from the tree.

d) For a tree that is 100 years old, the number of board feet that can be used is 11,875.

e) To find how old the tree is, we need to solve the equation for x.

First, subtract 6,825 from both sides of the equation to get y = 112.5x - 11,875 - 6,825.

Next, add 11,875 to both sides of the equation to get y + 11,875 = 112.5x.

Finally, divide both sides of the equation by 112.5 to get x = (y + 11,875) / 112.5.

Thus, the age of the tree is x = (6,825 + 11,875) / 112.5 = 100 years old.

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Answer: 160

Step-by-step explanation:45 x 24 = 1080

1080 -920 = 160

Answer:24 x 45 = 1080

Step-by-step explanation:

Answer:

Step 1: m<KHG + m<GHJ=180 degrees

Step 2: x=13

Step-by-step explanation:

This pair of angles is called vertical angles. In a vertical angle situation, opposite angles are equal to each other. An opposite angle and an adjacent angle are ALWAYS equal to 180 degrees.

To start off...

Make both parts of the equation equal to 180 degrees

5x+38+7x-14=180

Combine like terms and add the regular numbers together

5x+7x and 38 + -14

12x+24=180

Subtract 24 from each side of the equation

12x=156

Divide 12 from each side.

x=13

Answer:

I cant really see it sorry, make it a big bigger please and I will try my best.

The cosine functions are used to find the angle if the length of the hypotenuse and the length of the adjacent side is known.

The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and is given the symbol cos.

The cosine function in a triangle is the ratio of the adjacent side to that of the hypotenuse.

The general formula for cosine is:

cos α = Adjacent Side/Hypotenuse

Cosine has a few properties, which are periodic and even.

It is the ratio of the length of the side that is ADJACENT the angle to the length of the longest side, or HYPOTENUSE, of the triangle.

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To find the time it takes for the object to hit the ground, h must be set equal to 0.

• To find the number of seconds it will take the object to hit the ground after it is thrown, h must be set equal to 0: True

• If h is set equal to 0, then t = 0 is a solution to the equation: False

• The object will hit the ground at t=7 seconds: False

To find the number of seconds it will take the object to hit the ground, we must determine when its height is 0, since this is when it hits the ground. To do this, we set h equal to 0 and solve for t. So, setting h equal to 0 is the correct step in finding the time it takes for the object to hit the ground.

However, t = 0 is not a solution to the equation when h is set equal to 0. The equation for the object's height, h, at time t is -4.9t^2 + 24.5t + 68.6, which is a parabolic function. The value of t = 0 represents the time when the object is first launched from the platform, and the height of the object at that time is 68.6 meters. So, t = 0 is not a solution to the equation when h is set equal to 0, because at that time the height of the object is not 0.

The value of t = 7 is not the time when the object hits the ground. To find the time when the object hits the ground, we must set h equal to 0 and solve for t. This is a quadratic equation, and we can use the quadratic formula to find the two solutions. One of these solutions will represent the time when the object hits the ground, while the other will represent the time when the object reaches its maximum height.

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When h is set to 0, however, t = 0 does not represent an answer to the problem. The height of the item, h, at time t is given by the equation -4.9t2 + 24.5t + 68.6, which represents a parabolic function. The moment at which the object is first launched from the platform is represented by the value of t = 0, and the object's height at that point is 68.6 meters. Therefore, when h is set to 0, t = 0 is not a solution to the equation because the object's height is not 0 at that moment.

The moment the object strikes the ground is not at time t = 7. We must put h equal to in order to determine the moment the object touches the ground.

The area of the trapezoid is 24 square units.

What is the area of the trapezoid?

A trapezoid is a quadrilateral in American and Canadian English that has at least one pair of parallel sides. In British and other dialects of English, it is referred to as a trapezium. By definition, a trapezoid in Euclidean geometry is a convex quadrilateral. Its parallel sides serve as its bases.

The area of a trapezoid can be calculated by using the formula:

Area = (a + b)h / 2,

where a and b are the lengths of the parallel sides and h is the height.

By the given figure, we can find the area of the trapezoid

Area = (a+b)h/2
Area = (4.3 + 7.7)*4/2
Area = 12*4/2
Area = 24 Square units.

Hence, the area of the trapezoid is 24 square units.

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The table can be written as,

Minutes   Gallons

9                   1

18                 2

27                3

36                4

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

At the end of 18 minutes, it has filled 2.

This can be written as

y = kx

Where x is minutes and y is the number of gallons.

So,

2 = 18k

k = 2/18 = 1/9

Now,

The equation is y = (1/9)x

The table can be written as,

Minutes   Gallons

9                   1

18                 2

27                3

36                4

       
Thus,

The table that represents the relationship between the number of minutes and the number of gallons of water in the pool is given above.

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Total area of Ruby’s model for a Fourth of July party hat is 182.75 square centimeter.

The area of Rectangle is length times of width.

 
Let us find the area of the red colour right triangle.

Area of red triangle=1/2×13.5×9

=60.75 square cm.

Area of blue triangle=1/2×8×9

=36 square cm.

Area of rectangle=Length×breadth

=(13.5+8)4

=21.5×4

=86 square cm.

The total area of Ruby’s model for a Fourth of July party hat is

60.75+36+86

182.75 square centimeter.

Hence, total area of Ruby’s model for a Fourth of July party hat is 182.75 square centimeter.

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At 2:30 AM,

the pool will be full.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

At 9:30 AM,

Sean started filling a 4,500-gallonswimming pool.

At 11:30 AM,

he had filled 1,800 gallons.

The unit rate = 1800/2 = 900 gallons per hour.

The pool completely filled in 5 hours.

Therefore, the pool be full at 2:30 AM.

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The complete question:

At 9:30 AM,

Sean started filling a4,500-gallonswimming =~ pool. At 11:30 a.m., he had filled 1,800 : gallons. At what time will the pool be full? :

$6273.04 have to deposit at the end of each of the next 5 years to fund this liability

PV of Annuity = P*[1-{[tex]{1+i}^{n}[/tex]}]/i

Where, P = Annuity = 12000, i = Interest Rate = 0.08, n = Number of Periods = 4

PV at 6 years from today = 12000*[1-{(1+0.08)^-4}]/0.08 = 12000*0.26497/0.08 = $39745.52

PV at 5 years from today = PV at 6 years from today/[1+Interest Rate] = 39745.52/[1+0.08] = $36801.41

FV of Annuity = P*[{[tex]1+i^{n}[/tex]}-1]/i

Where, FV = 36801.41, i = Interest Rate = 0.08, n = Number of Periods = 5

Therefore,

36801.41 = P*[{(1+0.08)^5}-1]/0.08

2944.1127 = P*0.469328

Therefore, Amount to be deposited =

                                 P = 2944.1127/0.469328 = $6273.04

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The value of k such the the solution of differential equation of dx/dt = kx is k = ln(3).

By multiplying the original exponential function by the derivative of its power, one can differentiate an exponential.

The rule for differentiating an exponential function is  f(x)=a^u = a^t ln(t).

The given function is:

x(t) = 3^t

Using the differential rule for the exponential function we have:

d/ dt (3^t) = 3^t ln(3)

Substituting the value of x(t) in the equation with 3^t ln(3) we have:

3^t ln(3) = k 3^t

Since 3^t is a non-zero expression the value of k corresponding to the given value is:

ln(3) = k

Hence, the value of k such the the solution of differential equation of dx/dt = kx is k = ln(3).

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The two possible answer is  3(5.5a - 2.4b + 12) that Laine could have written for expression 16.5a - 77.2b + 36 .

Laine could just just used another common number to write it down as,

LCM(165, 36, 72) = 3960

Prime factorization of the numbers:

165 = 3 × 5 × 11

36 = 2 × 2 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

LCM(165, 36, 72)

= 2 × 2 × 2 × 3 × 3 × 5 × 11

= 3960

GCD(165, 36, 72) = 3

So we get three as a common multiple of them so after removing 3 common from them we can write 16.5a - 7.2b + 36 as

3(5.5a - 2.4b + 12)  

Hence, The two possible answer is  3(5.5a - 2.4b + 12) that Laine could have written for expression 16.5a - 77.2b + 36.

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The person who ate the last slice of cake is Daisy.

We have to know that the question that we have been asked here borders on the ability of the individual to be able to apply his or her reasoning so as to analyze the statement   that have been made.

The person that is to be suspected is the one that is blaming everyone else as in this case can see is what Daisy  is saying. We would pick up from there and then suspect a foul play and that is how we can know who ate the cake.

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The number of performances which the company must put on in order to break even is equal to 10 performances.

In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair containing the point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.

By critically observing the graph of the lines representing the given system of equations, we can reasonably and logically deduce that the correct solution set lies in Quadrant I and it is denoted by the point of intersection of both the x-coordinate (x-axis) and y-axis, which is given by the ordered pair (10, 4,000).

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An equivalent expression of 3(2x + 11y) is 6x + 33y.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression,

3(2x + 11y).

The distributive property:

a(b + c) = ab + ac.

So,

3(2x + 11y) = 6x + 33y

Therefore, 6x + 33y is an equivalent expression.

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The mean number of cars sold by each salesman at Kovak Motors is 10 cars per month, with a standard deviation of 3 cars (distribution is symmetric). Ben Polamalu only sold 6 cars last month. The statement which true is B) Ben's sales were not unusual last month.

The mean is one of the important formulas in mathematics. Another term for the mean is the average. The mean is a calculation that is studied further in statistics.

Calculating the mean is a basic math skill. The mean is a calculation that can be calculated using a simple formula. Usually, the mean is a formula that is used in conjunction with other statistical formulas such as the mode and median.

In everyday life, the mean is a calculation that is often used. An example of using the mean is to find out the average income of employees in an office.

Your question is incomplete but most probably your full question was:

The mean number of cars sold by each salesman at Kovak Motors is 10 cars per month, with a standard deviation of 3 cars (distribution is symmetric). Ben Polamalu only sold 6 cars last month. which statement is true?

A) Ben's sales were unusual last month.

B) Ben's sales were not unusual last month.

C) Ben's sales were not unusual this month.

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According to VSEPR (Valence Shell Electron Pair Repulsion) theory, the electron domains around an atom will arrange themselves in a trigonal bipyramidal geometry based on the number of domains in the valence shell.

If there are five electron domains in the valence shell, they will be arranged in a trigonal bipyramidal geometry. In this geometry, the five domains occupy the positions of three axial domains (120 degrees apart) and two equatorial domains (90 degrees apart). This arrangement minimizes the repulsion between the electron domains, leading to a more stable molecule.

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Eloise correctly determined the volume of this prism by multiplying the three dimensions, She got a product of  (3×8×4) unit³.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

The given figure is a cuboid made up of unit cubes.

We know the volume of a cuboid is (length×width×height).

By observing the figure we have 3 unit cubes of width, 8 unit cubes of length, and 4 unit cubes of height.

Therefore, The volume of the cuboid is,

= (3×8×4) unit³.

= 96 unit³.

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The tip of the pendulum travels 22.33 inches in a singles swing.

A pendulum is a weight suspended from a pivot so that it can swing back and forth under the influence of gravity. Pendulums are commonly used as timekeepers in clocks, but they also have other applications, such as in seismology, where they can be used to detect earthquakes.

Each swing does an angle of 40° in each direction, so we have a total angle of 80°.

Then, we want to get the length of an arc defined by an angle of 80° on a circle with a radius of 16 in, this is:

L = (80°/360°) * 3.14 * (2 * 16 in)

   = 22.33 in.

The distance that the tip of the pendulum travels on each swing is 22.33 inches.

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The tip of the pendulum travels approximately 28.3 inches in a single swing through an angle of 40 degrees.

To calculate how far the tip of the pendulum travels in a single swing through an angle of 40 degrees, we will use the formula:

Distance = 2 * PI * Length * (angle / 360)

Where PI is approximately 3.14 and Length refers to the length of the pendulum.

In this case, the length of the pendulum is 16 inches. Therefore, we can substitute these values into the formula:

Distance = 2 * 3.14 * 16 * (40 / 360)

Distance = 2 * 3.14 * 16 * 0.111

Distance = 28.3 inches

Therefore, the tip of the pendulum travels approximately 28.3 inches in a single swing through an angle of 40 degrees.

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Therefore, when the triangle's perimeter is 38 meters and its two sides are 18 meters and 13 meters, respectively, the opposite side of the perimeter is 7 meters.

An isolated path that surrounding, delimits, or embraces a two-dimensional shape or a single-dimension length sometimes referred to as the boundary. The perimeter of either an ellipse or circle refers itself to outermost area. The perimeter measurement has many legitimate applications. This perimeter of a form is its edge's circumference. Discover how to determine the perimeter by adding the lengths of such sides of various forms. Your can always find the perimeter of a polygon by multiplying its multiplicative inverse. The perimeter of an object is the space it around. At your house, a contained garden is one illustration. The perimeter of anything is the area encircling it. For a 50 feet x 50 feet yard, a 200 foot fence is required.

given

The distance surrounding a closed-plane figure is its perimeter, or P.

P is equal to a plus b plus c, where a, b, and c are the lengths of the three sides, and let c be the third side's undetermined length.

P = 38 m, a = 13 m, and b = 18 m are the values provided. Now, to determine the third side's length c,

P = a + b + c

38m = 13m, 18m, and c

38 m = 31 m + c

38 m minus 31 m Equals 31 m minus 31 m plus c

7 m = 0 + c

7 m = c

Therefore, when the triangle's perimeter is 38 meters and its two sides are 18 meters and 13 meters, respectively, the opposite side of the perimeter is 7 meters.

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Answer:

the angle of SQR = 40°

Step-by-step explanation:

in any triangle, the sum of all angles will be equal to 180°

by adding RSQ and QRS you get 140°

180°-140°=40°

The measurement of angle ∠SQR is 40 degrees

We are given that  triangle QRS the measure of angle RSQ is 117°, and the measure of angle QRS is 23°.

Since we know that in any triangle, the sum of all angles will be equal to 180°

To find the total angle of any polygon, use the formula = 180(n-2)

The "n" is number of sides a polygon have. Triangle has 3 sides.

Hence,substitute as n=3 in the formula above.

Total angle in a triangle =180(3-2)= 180(1)

= 180 degrees

∠QRS+∠RSQ+∠SQR=180°

180°-140°=40°

The angle SQR= 40°

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1 pound is approximately equal to 0.45359237 kilograms. Therefore, 1.5 pounds is approximately equal to 0.45359237 x 1.5 = 0.68 kg

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Answer:$45.60

Step-by-step explanation:

p=%w

69.8(.60)w

/.6 /.6

116. =w

-69.8

46.5

Answer:

349/5/5

Step-by-step explanation:

(69,8) % of 60x$

simplify the expression

Answer: the answer is 189

Step-by-step explanation: