If < A and < B are supplementary, and < A = 5x - 4 degrees, and < B = x - 2 degrees, find x.

Vector v can be written as the sum of two vector components, \(v_x = -5i\)  and \(v_y = 6j\)

To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.

v = -5i + 6j

w = 3i + 4j

We can decompose vector v into two components, one along the x-axis and the other along the y-axis.

Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)

The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:

\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)

Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:

\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)

Now, we can write vector v as the sum of its components:

\(v = v_x + v_y = -5i + 6j\)

So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.

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33 in corresponds with the 11 in side

33 in / 11 in = 3

The scale factor is 3

24 in / 3 = 8 in

x = 8 in

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides will be in same ratio.

\(\frac{33}{11}=\frac{24}{x}\)

Cross multiply,

33*x = 24 * 11

\(x=\frac{24 *11}{33}\\\\x=\frac{24*1}{3}\\\\x = 8 in\)

Answer:

p O H = 10.08

Step-by-step explanation:

Answer:

10.08

Step-by-step explanation:

Acellus sucks

Answer:

the image is sideways

Step-by-step explanation:

Answer:

well buddy see you thinking to hard its right there just relax and look closely

Step-by-step explanation:

Julia Roberts would be 5ft 8.5 inches tall, or 68.1 inches tall.

Using the parameters:

The average height of a woman in the United States= 63 inches

The standard deviation of height = 2.7 inches.

Z score of 2.16 means that Julia Roberts is 2.16 standard deviations above the average height. This means that she is taller than 98.4% of women in the United States.

Height = Average Height + z Score * Standard Deviation

Height = 63 + 2.16 * 2.7 = 68.1

Therefore, Julia Roberts height is 68.1 inches

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The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.

The total purchase price of the franchise naming rights and physical property was $1,250,000.

To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.

The total purchase price of $1,250,000 divided by two elements equals $625,000.

This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.

The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is

$625,000/4 .

When the cost of the physical property is multiplied by four, the result is $2,500,000.

This means that the restaurant chain paid $2,500,000 for the franchise naming rights.

In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

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Answer:

(10, 5π/3)

Step-by-step explanation:

To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the given values, we get:

r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10

θ = arctan((-5√3)/5) = arctan(-√3) = -π/3

Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:

θ = -π/3 + 2π = (5π/3)

Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).

41/2 days is equivalent tο 492 hοurs.

Divisiοn is an arithmetic οperatiοn that invοlves splitting a quantity intο equal parts οr determining hοw many times οne quantity is cοntained within anοther. It is cοmmοnly denοted by the symbοl ÷ οr /, and can be written as a fractiοn οr as a ratiο.

We knοw that there are 24 hοurs in day therefοre,

Tο cοnvert 41/2 days tο hοurs, we can use the fact that there are 24 hοurs in οne day:

41/2 days x 24 hοurs/day = 41 x 12 = 492 hοurs

Therefοre, 41/2 days is equal tο 492 hοurs.

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Answer:

$0.14 per ounce of salsa

Step-by-step explanation:

2.80/20

Move decimal to make the number a whole number

(Have to move the decimal the same amount of spaces)

28/200

0.14

Hope this helps. Have a nice day

Answer:

$0.14

Step-by-step explanation:

20-ounce =2.80

1- " =2.80/20

=280/100 × 1/20

=14/100

=$0.14

Given: An urn contains 11 balls, 3 white, 3 red, and 5 blue balls.

You win $1 for each red ball you select and lose a $1 for each white ball you select.

Let X be the number of times you win.

The total number of ways to select 2 balls (order does not matter) =

The number of ways so that two balls are white (and \( X=-2):^3C_2=3 \)

\(P(X=-2)=\dfrac{3}{55}\)

The number of ways so that two balls are red (and \( X=2):^3C_2=3 \)

\(P(X=2)=\dfrac{3}{55}\)

The number of ways so that one ball is red, one is white (and \( X=0):^3C_1\times^3C_1=9 \)

The number of ways so that two balls are blue (and \( X=0 \) ): \( ^5C_2=(5 \cdot 4) / 2=10 \)

i.e. \(P(X=0)=\dfrac{10+9}{55}=\dfrac{19}{55}\)

The number of ways so that one ball is blue, one is white (and \( X=-1 \) ): \( ^5C_1\times^3C_1=15 \)

\(P(X=-1)=\dfrac{15}{55} =\dfrac{3}{11}\)

The number of ways so that one ball is blue, one is red (and \( X=1 \) ): \( ^5C_1\times^3C_1=15 \)

\(P(X=1)=\dfrac{15}{55} =\dfrac{3}{11}\)

Thus, the probability mass function (p.m.f.) of X would be ( in attachment) :

The ratio of y to x gives the constant of proportionality, k = 5, therefore, they are proportional quantities.

If two variables of two quantities, x and y, are represented on a graph to show their relationship, they are proportional quantities if for every ratio of y to x, the value we get is the same, which means they have a constant of proportionality, k.

Using the points on the graph in the image attached below, the table can be completed as follows:

Part A:

Number of T-shirts (x): 1   2   3   4

Time in minutes (y):     5  10  15 20

Part B: Find the ratio of y to x for each of the points on the graph.

5/1 = 5

10/2 = 5

15/3 = 5

20/4 = 5

The table derived from the graph is:

Number of T-shirts (x): 1   2   3   4

Time in minutes (y):     5  10  15 20

B. The quantities are proportional.

The ratio of y to x gives the constant of proportionality, k = 5, therefore, they are proportional quantities.

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

The missing information are in the attachment below.

The error that was made in finding the area of the circle is that diameter was used for radius. The correct area of the circle is: 113.10 ft²

The formula for area of a circle is expressed as:

A = πr²

where:

A is Area

r is radius

From the given circle, we are given the diameter as 12.

But radius = diameter/2 = 12/2

radius = 6

Thus, the error is that they used the diameter as radius.

Correct area of circle = π * 6²

= 36π

= 113.10 ft²

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Answer:

the answer should be 288

Answer:

288

Step-by-step explanation:

To solve this, you divide 40% by 100.

= (40% / 100) x 720

Then you multiply 0.4 by 720.  

= 0.4 x 720

= 288

Answer:

A=3.1

B=4.2

C=2.7

Step-by-step explanation:

The value that would have the most dots on a line plot is given as follows:

4.25.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.

A line plot is built from the dot plot, in which:

Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).

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Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

Answer:

5 and 6

Step-by-step explanation:

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

I believe that her goal is 20 pages because 75% of 20 is 15.

Step-by-step explanation:

Answer:150?

Step-by-step explanation:

The last part answers the first part for you, just look at the y-values.

In other words:

A' (-8, 2)

B' (-4, 3)

C' (-2, 8)

D' (-10, 6)

Explanation:

When you reflect any point over the x-axis, the y-value of the ordered pair is going to change.

This makes sense especially considering that the x-axis is horizontal, so the only way you could cross is to move up or down. If you were to move left or right, you'd only be able to cross the y-axis, since it's vertical.

Now for the last part, as I mentioned above, if you are reflecting across the y-axis, the x-values of the ordered pair is going to change.

A'' (8, 2)

B'' (4, 3)

C'' (2, 8)

D'' (10, 6)

Take note that the only thing that changes for the respective value is its sign, while the number itself stays the same.

Out of the given options,  only (2) 5,9,7,13 match these values.

A sequence is a list of numbers in a specific order. Each number in the series is called a term. Each term in the sequence has its own place (first, second, third, etc.). For example, consider the sequence {5,15,25,35,...}

The pattern following this sequence is not very clear and seems random. However, one possible explanation could be:

1, 2, 4, 7, 4, X, 7, 10, 6, Y, Z, 12, 7, 8, 10, W

Starting from 1, each member of the sequence is obtained by adding a certain number to the previous member. The number to be added ranges from 1 to -3. This model allows us to find  missing values:

1 + 1 = 2

2 + 2 = 4

4 + 3 = 7

7 - 3 = 4

4 + 1 = 5

5 + 2 = 7

7 + 3 = 10

10 - 4 = 6

6 +1 = 7

7 - 1 = 6

6 + 1 = 7

7 + 4 = 11

11 - 5 = 6

6 + 1 = 7

7 + 1 = 8

8 + 2 = 10

10 + 2 = 12

Therefore the missing values ​​are X = 5, Y = 6, Z = 7 and W = 12.  

Out of the given options,  only (2) 5,9,7,13 match these values.

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Answer: 4 pages

Step-by-step explanation:

To solve this problem, we need to use the formula:

Rate = Output/Time

Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.

Rate = 2 pages/(1/8 hour) = 16 pages/hour

Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.

Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages

Therefore, Ethan can type 4 pages before the meeting starts.

Answer: 4 pages

The quotient using compatible numbers for 2252 divided by 7 is 321 remainder 5.

Compatible numbers are those that are simple to mentally add, subtract, multiply, or divide. Compatible numbers are close in value to the actual numbers, making it easy to estimate the answer and solve problems.

The following steps are required:

Step 1: Take the dividend's first digit from the left.

Step 2: Next, divide it by the divisor and write the result as the quotient on top.

Step 3: Subtract the result from the digit and record the difference.

Step 4: Subtract the dividend's next digit (if present).

Step 5: Write the value gotten.

A quotient is a quantity created by the division of two numbers in mathematics. The quotient is widely used in mathematics and is also known as the integer component of a division, a fraction, or a ratio. In this case, the value gotten after the division is 321 remainder 5.

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To find the relative frequency asked, you have to divide the number of girls who prefer cats by the number of girls:

About 21.43% of the girls prefer cats as pets

The distinguishing feature between a square and a rectangle is that all sides of a square are equal in length.

Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle.

The distinguishing feature of a rhombus is that all sides are equal in length, while a parallelogram can have unequal side lengths.

Yes, a rhombus is a special type of parallelogram because it possesses the properties of a parallelogram and has all sides equal in length.

The three features used to describe 3-dimensional objects are faces, edges, and vertices.

The common properties between a square and a rectangle are that both have four sides, four right angles (90 degrees), and opposite sides that are parallel. The distinguishing feature is that all sides of a square are equal in length, while a rectangle can have unequal side lengths.

Yes, a square is a special type of rectangle. A rectangle is defined as a quadrilateral with four right angles, while a square is a specific type of rectangle where all sides are equal in length. Since a square possesses all the properties of a rectangle, including four right angles, it can be considered a special case of a rectangle.

The common properties between a rhombus and a parallelogram are that both have four sides and opposite sides that are parallel. The distinguishing feature of a rhombus is that all sides are equal in length, while in a parallelogram, the opposite sides are equal in length.

Yes, a rhombus is a special type of parallelogram. A parallelogram is defined as a quadrilateral with opposite sides that are parallel. A rhombus possesses this property, but it also has the additional feature of having all sides equal in length. Therefore, a rhombus can be considered a special case of a parallelogram.

The three features used to describe 3-dimensional objects are:

Faces: The flat surfaces that make up the object.

Edges: The lines where two faces intersect.

Vertices: The points where multiple edges meet.

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The scientific notation for 6.0 x 10^4 ÷ 4.0 x 10^8 is 1.5 × 10^-4.

It should be noted that scientific notation simply means the power format that is used for expressing numbers that are too large or two small.

Based on the information given, the number illustrated is given as:

6.0 x 10^4 ÷ 4.0 x 10^8

It should be noted that since we are dividing,, we'll have to subtract the powers. This will be illustrated this

= 6.0 x 10^4 ÷ 4.0 x 10^8

= (6.0 / 4.0) × 10^(4 - 8)

= 1.5 × 10^-4

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Answer:

30/48

Step-by-step explanation: