For what value of x must ABCD be a parallelogram?
X=_______

Answer:

(x/4)+10

Step-by-step explanation:

Quotient=division, so x/4

Increased by 10, so (x/4)+10

The dot products as follows: for 30°, the dot product is 6; for 90°, the dot product is 0; and for 145°, the dot product is -4.

The dot product, also known as the scalar product or inner product, is a mathematical operation between two vectors that produces a scalar value. It is calculated by multiplying the magnitudes of the two vectors by the cosine of the angle between them.

For the given problem, we have |u| = 3 and |v| = 4, representing the magnitudes of vectors u and v, respectively. To find the dot product for the angles provided, we multiply the magnitudes by the cosine of each angle.

For 30°, the cosine of the angle is √3/2, so the dot product is (3)(4)(√3/2) = 6.

For 90°, the cosine of the angle is 0, resulting in a dot product of 0.

For 145°, the cosine of the angle is -√2/2, so the dot product is (3)(4)(-√2/2) = -4.

Therefore, the dot products for the given angles are 6, 0, and -4, respectively.

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Answer:

84- n

A is the correct answer.

Answer:

The Answer is 130 people

Answer:

130 people

Step-by-step explanation:

This is a classic ratio problem that can be solved through dimensional analysis (the use of units and a little bit of thinking). If the ratio of people to pizzas for a party is 13/3, or in otherwords, for every 13 people there exists 3 pizzas, then if you have 30 pizzas, there will be 130 people, because

30 pizzas · 13/3 (peoples per pizzas)=130 people

The exact location of the first hole is given by "related dimensions."

Let C = circumference of the circle,

R = radius of the circle, and

O = center point of the circle.

The exact location of the first hole can be calculated using the following equation:

Angle of First Hole = (2π/N)*1 + O

where N = number of holes.

The circumference, radius, and centre point of the circle, as well as any other relevant dimensions, can be used to determine the precise placement of the first hole. By calculating the angle of each hole from the circle's centre, these measurements can then be utilised to pinpoint the exact location of the initial hole.

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The equation that represents the table is y = 4x.

A term with x as the highest power appears in a linear equation, which is a polynomial equation of the first degree. Y = mx + b, where m is the slope (the rate of change of y with respect to x) and b is the y-intercept (the value of y when x = 0), is the typical form of a linear equation. Straight lines can be used to express linear equations on a coordinate plane, with the slope denoting the line's steepness and the y-intercept designating the line's point of intersection with the y-axis. Linear equations are important to the study of algebra and calculus and have numerous applications in math, science, engineering, economics, and other disciplines.

The slope of the line is given by the formula:

m = change in y / change in x

Using the coordinates from the table we have:

m = 24 - 12 / 6 - 3

m = 12 / 3 = 4

The equation of the line is given as y = mx + b.

Substituting the value of slope we have:

y = 4x + b

The equation that has the slope 4 is y = 4x.

Hence, the equation that represents the table is y = 4x.

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Inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process.

Inverse distance weighting is a method used in geostatistics to estimate values at unsampled locations based on values at surrounding sample locations. It works by assigning weights to the sample points based on their proximity to the unsampled point. The closer a sample point is to the unsampled point, the higher its weight. The weights are then used to calculate a weighted average of the sample values, which is used as the estimate for the unsampled location.
The benefit of inverse distance weighting over a simple average is that it takes into account the spatial variability of the data. A simple average treats all sample points equally, regardless of their distance from the unsampled point. This can lead to inaccurate estimates if there is a high degree of spatial variability in the data. In contrast, inverse distance weighting gives more weight to sample points that are closer to the unsampled point, which is likely to provide a more accurate estimate.
Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process. For example, if there are two variables of interest (e.g., temperature and precipitation), inverse distance weighting can be used to estimate values for both variables simultaneously. This is not possible with a simple average.
Overall, inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Its ability to account for spatial variability and incorporate multiple variables makes it a powerful technique for analyzing spatial data.

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The 6 fedοras expect if next 30 hats requested frοm Zοe's inventοry, and She recentIy prοvided 20 different hats, incIuding 4 fedοras.

It is described as the cοmparisοn οf twο quantities tο determine hοw many times οne οbtains the οther. The prοpοrtiοn can be expressed as a fractiοn οr as a sign: between twο integers.

The ratiο οf hats tο fedοras = 20:4

Let's suppοse Zοe's inventοry, shοuId expect tο x fedοras

20/4   =  30/x

x = 30/5

x = 6

Thus, the 6 fedοras expect if next 30 hats requested frοm Zοe's inventοry, and She recentIy prοvided 20 different hats, incIuding 4 fedοras.

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Answer:

constant

Step-by-step explanation:

The term that best describes the graph of y = -2 is "constant". This is because the equation y = -2 represents a horizontal line that does not change in value as x changes

Answer:

240cm

Step-by-step explanation:

50% of 160 is 80.

80cm+160cm= 240cm

Answer:

The answer is 20%

pls follow

and mark as the brainliest

Answer:

it's 20%

Step-by-step explanation:

Answer:  r = 11.3

Step-by-step explanation:

In order to find the radius given circumfrence we use the following formula

\(r=\frac{C}{2*\pi }\)

\(r=\frac{71}{2*3.14 }\)

r = 11.3

Answer:

Step-by-step explanation:

They are different numbers:

0.269 + 50.9 = 51.169

0.26 + 50.9 = 51.16

Answer:

Yes

Step-by-step explanation:

\( {50}^{2} = 2500 ...(1)\\ \\ {30}^{2} + {40}^{2} = 900 + 1600 \\ {30}^{2} + {40}^{2} = 2500...(2) \\ \\ From \: equations \: (1) \: and \: (2) \\ \\ {50}^{2} = {30}^{2} + {40}^{2} \\ \\ \therefore \: By \: converse \: of \: Pythagoras \: \\Theorem \\ \\ 50, \: cm \: 40, \: cm \: 30 \: cm \: are \: the \: side \: \\lengths \: of \: right \: triangle.\)

The magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

The value of the net electrostatic force on the 5.0-nC

charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0),

charge Q2 = −1.0 nC is at (0, 0.10 m), and

charge Q3 = 5.0 nC is at (0, 0) can be calculated as follows:

Given data,Charge Q1 = 6.0 nC is at (0.30 m, 0),

Charge Q2 = -1.0 nC is at (0, 0.10 m),

Charge Q3 = 5.0 nC is at (0, 0)

The formula to find out the force on the third charge Q3 is:

                      F = k * |Q1 * Q3| / r1^2 + k * |Q2 * Q3| / r2^2

Here, k = 8.99 × 10^9 N·m^2/C^2, Q1 = 6.0 nC, Q2 = -1.0 nC, Q3 = 5.0 nC

For the third charge Q3, the distance from Q1 is:

                                r1 = √(0.3^2 + 0^2) = 0.3 m

And the distance from Q2 is: r2 = √(0^2 + 0.1^2) = 0.1 m

Substituting all the given values in the formula:

                               F = 8.99 × 10^9 * [ (6.0 × 10^-9 * 5.0 × 10^-9) / 0.3^2 ] + 8.99 × 10^9 * [ (-1.0 × 10^-9 * 5.0 × 10^-9) / 0.1^2 ]F = 6.21 N

Therefore, the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

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Answer:

17.0604

Step-by-step explanation:

I recommend to round to 17. Hope this helped!

Hello User,

Answer:

5.2 meters wide is equal to 17.056 feet.

Step-by-step explanation:

A bedroom is 5.2 meters wide

(1 meter =3.28 feet)

1 meter is equal to 3.28 feet

Now we convert 5.2 meters into feet

When we convert smaller unit to bigger unit we multiply.

To convert meters into feet we multiply by 3.28.

1 meter =3.28 feet

5.5 meters =  3.28 x 5.2 = 17.056

So 5.2 meters wide is equal to 17.056 feet.

Answer:

2

Step-by-step explanation:

i am not sur but 12 5 = 2?

In computer programming, variables are used to store and manipulate data. In this case, an int variable named strawsoncamel has been declared and assigned a value.

To increase the value of strawsoncamel by 1, you can use the increment operator (++). This operator adds 1 to the current value of the variable and assigns the result back to the variable.

For example, if strawsoncamel has a value of 5, the statement strawsoncamel++; would increase its value to 6. This can be useful in many scenarios, such as counting or iterating through a loop. It's important to note that the increment operator can also be used in other ways, such as ++strawsoncamel, which increments the value of the variable before it is used in an expression.

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To increase the value of the variable strawsoncamel by 1, you can use the increment operator "++". So the statement would be:
strawsoncamel++;

This will increment the value of strawsoncamel by 1. The increment operator is an example of an operator in programming, which performs a specific operation on a variable. In this case, it increases the value of the variable by 1, which is also known as an increment.
To increase the value of the integer variable `strawsoncamel` by 1 using the increment operator, follow this step:
Write the statement: `strawsoncamel++;`
This line of code will use the increment operator (`++`) to increase the value of the variable `strawsoncamel` by 1.

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Answer:

$22.75

Step-by-step explanation:

if you multiply $32.50 * 30% you get $9.75

32.50-9.75=$22.75

Answer:

$22.75

Step-by-step explanation:

Convert percent to decimal:

30%=30/100=0.3

Percent formula:

a(1-r)

a(1−r)

32.5(1-0.3)

32.5(1−0.3)

32.5(0.7)

32.5(0.7)

22.75

22.75

Price after discount:

$22.75

Answer:

Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:

to switch into y=mx+b form do this:

3x-y=5

-y=5-3x

y=-5+3x

y=3x+(-5)

2y-15x=8

2y=8+15x

y=4+7 1/2x

y=7 1/2x+4

THe slope of any line in y=mx+b form is m. Therefore in this equation:

y=3x+(-5)     3 is the slope

The y intercept of any line is the +b:

y=7 1/2x+4 -therefore 4 in this equation is our y intercept.

Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)

since 3 is our slope and 4 is our y intercept the equatuon is :

y=3x+4

NOw all we need to do is move this into standard form:

y=3x+4

-3x+y=4

-3x+y=4 is your final answer

-hope this helped

Step-by-step explanation:

Answer:

A. 5/6

Step-by-step explanation:

Since our denominators match, we can add the numerators.

3 + 7 = 10

So 10/12 the answer but simplified would give 5/6

The correct answer is polygon has rotated 42° after 7 minutes.

To understand how much the polygon has rotated after 7 minutes, we can break it down into smaller increments.

Since the clock has 60 sides, each minute corresponds to a rotation of 360°/60 = 6°. Therefore, after 1 minute, the polygon rotates by 6°.

After 7 minutes, the polygon would have rotated by 7 * 6° = 42°. This is because each minute adds an additional 6° of rotation.

Hence, after 7 minutes, the polygon has rotated 42°. This means that it has moved 42° clockwise or counterclockwise from its starting position.

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Answer:

42°

Step-by-step explanation:

98/100, 98%, 0.98                      

That's it.

Answer:

Dave had most fun for 1.5 minutes.

explanation:

Let the "fun time" be f

total time * portion of time fun  = fun time

\(\sf t * p = f\)

\(\sf 6 \ * \frac{1}{4} = f\)

\(\sf \frac{6}{4} = f\)

\(\sf f = 1.5 \ minutes\)

Question was for how many minutes, Dave had fun, so he had fun for 1.5 minutes

Let that half be x

So

\(\\ \rm\Rrightarrow x(4)=6min\)

\(\\ \rm\Rrightarrow x=6/4\)

\(\\ \rm\Rrightarrow x=1.5min\)

The required order will be;

⇒ -2 1/4, -11/4, 3/4, |1 1/4|, |-1 3/4|, |-2 1/4|

The numbers arrange in order to least to greatest number is called Ascending order.

Given that;

The given order is:

⇒ -2 1/4, |-1 3/4|, -11/4 , 3/4, |-2 1/4|, |1 1/4|

Now,

We know that, modulus make every number positive.

We converting mixed fraction into simple fraction as;

⇒ -9/4, 7/4, -5/4 , 3/4, 9/4, 5/4

After arranging it into ascending order, we get;

⇒ -9/4 , - 5/4, 3/4, 5/4, 7/4, 9/4

Therefore, The ascending order is,

⇒ -2 1/4, -11/4, 3/4, |1 1/4|, |-1 3/4|, |-2 1/4|

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The price that Avery would have to pay after a 20% discount, she would need to multiply the original price by a factor of 0.8, which is equivalent to subtracting 20% from the original price.

To find the price that Avery would have to pay, before tax, after applying a 20% discount, we need to multiply the original price by a factor of 0.8, which is equivalent to subtracting 20% from the original price.

The formula for this factor is:

Discount factor = 1 - Discount percentage

In this case, the discount percentage is 20%, or 0.20 as a decimal. Therefore, the discount factor is:

Discount factor = 1 - 0.20 = 0.80

This means that the price after the discount is 80% of the original price. To find the price that Avery would have to pay, before tax, we need to multiply the original price by the discount factor of 0.80:

Discounted price = Original price x Discount factor

Discounted price = Original price x 0.80

Therefore, Avery would need to multiply the prices on the tags by 0.8 to find the price she would have to pay, before tax, in one step.

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Step-by-step explanation:

\(\large\underline{\sf{Solution-}}\)

\(\rm \longmapsto\:3cot\theta = 4\)

\(\rm\implies \:cot\theta = \dfrac{4}{3} \)

Now, Consider

\(\rm \longmapsto\:\dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } \)

\(\rm \:  =  \: \dfrac{sin\theta \bigg[3 + 4\dfrac{cos\theta }{sin\theta } \bigg]}{sin\theta \bigg[3 - 4\dfrac{cos\theta }{sin\theta } \bigg]} \)

\(\rm \:  =  \: \dfrac{3 + 4cot\theta }{3 - 4cot\theta } \)

\(\rm \:  =  \: \dfrac{3 + 4 \times \dfrac{4}{3} }{3 - 4 \times \dfrac{4}{3} } \)

\(\rm \:  =  \: \dfrac{3 + \dfrac{16}{3} }{3 - \dfrac{16}{3} } \)

\(\rm \:  =  \: \dfrac{\dfrac{9 + 16}{3} }{ \dfrac{9 - 16}{3} } \)

\(\rm \:  =  \: \dfrac{25}{ - 7} \)

\(\rm \:  =  \: - \: \dfrac{25}{7} \)

Hence,

\(\rm \longmapsto\:\boxed{\tt{ \dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } = - \frac{25}{7} \: }} \\ \)

Additional Information:-

Relationship between sides and T ratios

sin θ = Opposite Side/Hypotenuse

cos θ = Adjacent Side/Hypotenuse

tan θ = Opposite Side/Adjacent Side

sec θ = Hypotenuse/Adjacent Side

cosec θ = Hypotenuse/Opposite Side

cot θ = Adjacent Side/Opposite Side

Reciprocal Identities

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

sin θ = 1/cosec θ

cos θ = 1/sec θ

tan θ = 1/cot θ

Co-function Identities

sin (90°−x) = cos x

cos (90°−x) = sin x

tan (90°−x) = cot x

cot (90°−x) = tan x

sec (90°−x) = cosec x

cosec (90°−x) = sec x

Fundamental Trigonometric Identities

sin²θ + cos²θ = 1

sec²θ - tan²θ = 1

cosec²θ - cot²θ = 1

Answer:

7B + (36 * 4) = 184

Step-by-step explanation:

In a family restaurant there are 36 tables and 7 booths.

Each table can seat 4 people.

Let the number of people who can be seated in a booth be represented by B.

Total seating capacity of the restaurant is 184 people.

Expressing this as an equation:

Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184