What equation can be formed that would relate the width length and the area of the room?

Probability that the arrow will stop on the same letter twice = 1/3 (c).

What is probability?

The area of arithmetic called likelihood deals with numerical representations of the chance that a happening can occur or that an announcement is true.

Main body:

Given : Maria will spin the arrow on the spinner 2 times.

To find : What is the probability that the arrow will stop on the same letter twice.

Solution : We have given a spinner that spin twice and stop on the same letter.

Formula for probability = no. of favourable outcome/ total outcomes

Here, total part of spinner = 3 and it spin two times

So, total possible outcome = 6.  Arrow stay on same letter twice( favorable outcome) =2.

Plugging the values in formula :

Probability =  2/6

Probability =  1/3

Therefore,  probability that the arrow will stop on the same letter twice =  (c).

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Answer:

Step-by-step explanation:

Its AAS

two angle and the side is the middle line they connect by !

Answer:

2/5

Step-by-step explanation:

hope dis helps

Answer:

Step-by-step explanation:

The verbal expressions A. half of five more than a number, C. five more than half a number, and D. half of five less than a number represent the given algebraic expression when assigned with a variable. The expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).

The verbal expressions that represent the algebraic expressions are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. To convert these expressions into algebraic form, we need to assign a variable, say x, to the unknown number.

A. Half of five more than a number can be expressed algebraically as 1/2(x + 5). B. Twice a number and five can be written algebraically as 2x + 5. C. Five more than half a number can be expressed algebraically as 5 + 1/2x. D. Half of five less than a number can be written algebraically as 1/2(x - 5).

Therefore, the expressions that represent the given algebraic expression are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. Expression B represents a different algebraic expression altogether.

To summarize, three of the given verbal expressions represent the given algebraic expression, which can be converted to algebraic form by assigning a variable to the unknown number. These expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).

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The amount of land the railroad companies received for each mile of track they laid varied depending on the specific circumstances and agreements.

However, a common benchmark used during the construction of railroads in the United States was the granting of land through the Homestead Act of 1862. Under this act, railroad companies were granted approximately 6,400 acres (10 square miles) of land for every mile of track laid. This land was typically located alongside the tracks and served as an incentive for the companies to expand and develop the rail network across the country.

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If the two prisms are stacked on top of each other then the height of the prism is 30 inches. Then the volume of the prism will be 1080 in³.

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

A toy store is building a display with two rectangular prisms.

The base of each prism is a square with an edge length of 6 inches.

One prism is 10 inches tall and the other is twice as tall.

The two prisms are stacked on top of each other.

Then the total volume of the display will be

The volume of the prism will be

Volume = Base area × Height

Then the height of the second prism will be

h₂ = 2 × 10 = 20 inches

Then the volume of the prism will be

Volume = 6 × 6 × 10 + 6 × 6 × 20

Volume = 360 + 720

Volume = 1080 cubic inches

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Answer:

31°

Step-by-step explanation:

HI && HJ are of equal length and equal angle

118° + P° + P° = 180

2P° = 180—118

2P° = 62°

P = 31°✓

Answer: x = (-2,0) y = (0,-3) slope is -3/2

Step-by-step explanation: graph the line  by  using the slope and y intercept

The graph for the points (0, -3) and (2, -6) is plotted on the graph below.

The given equation is y-3= -3/2(x+4).

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Graph the line using the slope and y-intercept, or two points.

Slope: -3/2

y-intercept: (0, -3)

Plot the points (0, -3) and (2, -6) on the graph

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (−2,0)

y-intercept(s): (0,−3)

Therefore, the graph for the points (0, -3) and (2, -6) is plotted on the graph below.

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Answer:A:30

Step-by-step explanation:

The trigonometric function graphed is defined as follows:

y = 3cos(4x).

The standard definition of the cosine sine function is given as follows:

y = Acos(Bx) + C.

For which the parameters are given as follows:

The function in this problem oscillates between -3 and 3, hence the amplitude is given as follows:

A = 3.

As the function oscillates between -A and A, it has no vertical shift, hence the parameter C is given as follows:

C = 0.

The period of the function is of π - π/2 = π/2, hence the parameter B is given as follows:

2π/B = π/2

B = 4.

Hence the function is given as follows:

y = 3cos(4x).

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Answer:

In this pattern, there are 12 regular pentagons and 20 regular hexagons. Each hexagon shares a vertex with three pentagons and each pentagon shares a vertex with five hexagons.

To find the measure of each gap between the hexagons, we can use the fact that the sum of the angles around any vertex in a regular polygon is always 360 degrees. Let x be the measure of the angle between two adjacent pentagons, and y be the measure of each angle at the center of a hexagon.

At each vertex of the pattern, there are three pentagons and three hexagons meeting. Thus, we have:

3(108) + 3y = 360

Simplifying, we get:

324 + 3y = 360

3y = 36

y = 12

Therefore, each angle at the center of a hexagon measures 12 degrees. Since there are six angles around the center of a hexagon, the total angle around the center of a hexagon is 6(12) = 72 degrees.

To find the measure of each gap between the hexagons, we need to subtract the angle of the hexagon from 180 degrees (since the sum of the angles of a triangle is 180 degrees). Thus, the measure of each gap between the hexagons is:

180 - 72 = 108 degrees

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

sinx = 3/5

to find the value of x...figure sine inverse(Arcsin) of 3/5 out.

sin^-1 ( 3/5) = 0.64.

siny = 7/25

sin^-1(7/25) = 0.28

x = 0.64

y = 0.28

tan(x-y)

=tan(0.64-0.28)

= tan (0.36)

= tan (9/25)

= 0.376.

now divide every fraction given from a - d to find the one equivalent to 0.376 because that's the value of tan(x-y).

B. 44 / 117 = 0.376.

Answer:

b

Step-by-step explanation:

sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{3}{5}\)

This is a 3- 4- 5 right triangle

with adjacent side = 4 , then

cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{4}{5}\) , thus

tan x = \(\frac{sinx}{cosx}\) = \(\frac{\frac{3}{5} }{\frac{4}{5} }\) = \(\frac{3}{5}\) × \(\frac{5}{4}\) = \(\frac{3}{4}\)

---------------------------------------------------

sin y = \(\frac{7}{25}\)

This is a 7- 24- 25 right triangle

with adjacent side = 24 , then

cos y = \(\frac{adjacent}{hypotenuse}\) = \(\frac{24}{25}\) , thus

tan y = \(\frac{siny}{cosy}\) = \(\frac{\frac{7}{25} }{\frac{24}{25} }\) = \(\frac{7}{25}\) × \(\frac{25}{24}\) = \(\frac{7}{24}\)

----------------------------------------------------

tan(x - y) = \(\frac{tanx-tany}{1+tanxtany}\)

             = \(\frac{\frac{3}{4}-\frac{7}{24} }{1+\frac{3}{4}(\frac{7}{24}) }\)

             = \(\frac{\frac{11}{24} }{1+\frac{21}{96} }\)

             = \(\frac{\frac{11}{24} }{\frac{117}{96} }\)

             = \(\frac{11}{24}\) × \(\frac{96}{117}\)

             = \(\frac{11}{1}\) × \(\frac{4}{117}\)

             = \(\frac{44}{117}\) → b

Answer:

the sample space for the first and second cow walking out of the barn is {HH, HG, GH, GG}

Step-by-step explanation:

The sample space for the first and second cow walking out of the barn is the set of all possible combinations of the first and second cow. Since there are two types of cows (Holstein and Guernsey), and the order in which the cows walk out of the barn matters, the sample space has four possible outcomes:

The first cow is a Holstein and the second cow is a Holstein: HH

The first cow is a Holstein and the second cow is a Guernsey: HG

The first cow is a Guernsey and the second cow is a Holstein: GH

The first cow is a Guernsey and the second cow is a Guernsey: GG

The sample space for the 1st and 2nd cow walking out of the barn is {HH, HG, GH, GG}.

A sample space is the set which contains all the possible outcomes of a random experiment. Usually, it is represented using the letter S.

Discrete or finite sample spaces contain finite number of elements.

Event is the subset of sample space.

Here, there are two kind of elements in the experiment, H and G.

So there are 4 possible outcomes.

Holstein walk out of the barn first and then Holstein = HH

Holstein walk out of the barn first and then Guernsey = HG

Guernsey walk out of the barn first and then Holstein = GH

Guernsey walk out of the barn first and then Guernsey = GG

Hence the sample space for this random experiment is  {HH, HG, GH, GG}.

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Answer:

x = 13

Step-by-step explanation:

The tirangle ABC is given as equilateral. Every angle is therefore =. Not only that, each angle is 60 degrees.

If you need proof of that, remember that x + x + x  = 180. Every triangle has 180 degrees.

if 3x = 180 then 1 x is 60

8x - 44 = 60       Add 44 to both sides.

8x = 60 + 44

8x = 104             Divide by 8

x = 104/8

x = 13

Answer:

5

Step-by-step explanation:

Hello!

5 less than 10 times a number is 45.

It can also be said as :

"Subtracting 5 from 10 times this number, will give you 45."

This will be easier to convert into an equation.

In equation form, we can rewrite this as \(10x - 5 = 45\).

The unknown number is 5.

In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

∆HIJ similar to ∆FIG

HI/FI = IJ/IG

5/10 = 4/IG

IG = 8 yd

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In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

∆HIJ similar to ∆FIG
HI/FI = IJ/IG
5/10 = 4/IG
IG = 8 yd

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Answer:

the answer is a

Step-by-step explanation:

x=0 the first equation gives -4

andx= 2 6/2 = 3-4= -1

Answer:

The total area is 72 and A is the correct answer.

Step-by-step explanation:

Here is how they used the formula in A:

60 = 5/6 x A (do 5/6 x A/1 = 5A/6)

60 =  \(\frac{5A}{6}\)(multiply both sides of the equation by 6 to get rid of the denominator)

60 x 6 = \(\frac{5A}{6}\) x 6

360 = 5A (divide both sides of the equation by 5)

360 / 5 = 5A/5

72 = A

Answer:

a

Step-by-step explanation:

x² - 3 = 2x ( subtract 2x from both sides )

x² - 2x - 3 = 0 ← in standard form

consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

the factors are - 3 and + 1 , since

- 3 × + 1 = - 3 and - 3 + 1 = - 2 , then

x² - 2x - 3 = (x - 3)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

The rectangle's measurements are 13.2 feet wide by 19.2 feet long, giving it a total area of 253 square feet.

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Here,

length of rectangle=l

width=w

l=w+6

area=l*w

253=(w+6)*w

w²+6w-253=0

w=13.2 feet

l=19.2 feet

The dimensions for the rectangle that have area as 253 sq-feet will be 13.2 feet as width and 19.2 feet as length.

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To provide an example of an equivalence relation on {1, 2, 3, 4, 5, 6} with exactly four equivalence classes, we can list the ordered pairs that define the relation. The prime factorization of 11! (11 factorial) can be found by multiplying all the prime numbers up to 11. The greatest common divisor (GCD) of 32.73, 11, and 23.5.7 can be calculated by finding the largest number that divides all three values.

1. To find an example of an equivalence relation with exactly four equivalence classes on {1, 2, 3, 4, 5, 6}, we need to define a relation that satisfies the properties of reflexivity, symmetry, and transitivity. One possible example is the relation of congruence modulo 4. The ordered pairs that represent this equivalence relation are: {(1, 1), (2, 2), (3, 3), (4, 4), (5, 1), (6, 2)}. These ordered pairs indicate that elements 1 and 5 are in the same equivalence class, elements 2 and 6 are in the same equivalence class, and elements 3 and 4 are in their respective equivalence classes.

2. The prime factorization of 11! can be found by multiplying all the prime numbers up to 11. The prime numbers less than or equal to 11 are 2, 3, 5, 7, and 11. Therefore, the prime factorization of 11! is 2^8 × 3^4 × 5^2 × 7 × 11.

3. To find the greatest common divisor (GCD) of 32.73, 11, and 23.5.7, we can use the Euclidean algorithm. The GCD can be calculated by finding the largest number that divides all three values without leaving a remainder. In this case, the GCD is 1 since there are no common factors among the given values.

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Answer:

Step-by-step explanation:

On Monday, the total amount paid for CDs = 149 * $9 = $1341

On Tuesday, the total amount paid for CDs = 263 * $9 = $2367

Therefore, the total amount paid for CDs on these two days = $1341 + $2367 = $3708.

Whenever a probability sample is drawn from a population, it is not enough to simply report the sample's descriptive statistics, for these measures contain a certain degree of error due to the sampling process.

Thus the answer is ‘ true’.

A population is any entire group that has at least one trait in common that is relevant to a given issue or experiment in statistics.

A probability sample is one that is drawn using a method of random selection that is compatible with the known odds for each member of the population to be selected, and that takes these probabilities into account when generating estimates from the sample.

If the chosen sample does not accurately reflect the total population of data, there has been a sampling error, which is a statistical error resulting from sampling.

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The area of figure is 272.52 square units.

The given figure consist:

A parallelogram of,

length = 12

width   = 18

Since we know that,

Area of parallelogram  = length x width

                                      = 12 x 18

                                      = 216 square units

And it consist of a semicircle of,

radius = 12/2

          = 6

Since we know that,

Area of semicircle is = πr²/2

                                  = 3.14 x 6 x 6/2

                                  = 56.52 square units

Thus,

The area of figure is sum of both areas,

⇒ 216 + 56.52

Hence, area is

⇒ 272.52 square units

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Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

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Answer:

1 cup of banana for 2 cups of flour

Step-by-step explanation:

Divide 4 cups of banana by 4 and 8 cups of flour by 4

Then you will get 1 cup of banana for 2 cups of flour

Two other examples of linear relationships are changes of units and finding the total cost for buying a given item x times.

Two examples of linear relationships that are useful are:

Changes of units:

These ones are used to change between units that measure the same thing. For example, between kilometers and meters.

We know that:

1km = 1000m

So if we have a distance in kilometers x, the distance in meters y is given by:

y = 1000*x

This is a linear relationship.

Another example can be for costs, if we know that a single item costs a given quantity, let's say "a", then if we buy x of these items the total cost will be:

y = a*x

This is a linear relationship.

So linear relationships appear a lot in our life, and is really important to learn how to work with them.

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Answer:

Just simply input in your calculator arcsin of -5/6. Arcsin is the sign that looks like sin to the power of -1, even though it doesn't mean sin to the power of -1. This comes out to 303.6 degrees. So, it actually isn't in quadrant 3, it's in quadrant 4.

Step-by-step explanation:

Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating