Graph the quadrilateral with the given vertices in the coordinate plane.

The appropriate unit for measurement for momentum p is kgm/s ( option C)

momentum is defined as the product of mass of a body and it's velocity. momentum is a vector quantity. It is represented by p

From the definition of momentum, momentum can be expressed as :

p = m× v

where m is the mass of the body and v is the velocity of the body.

For example if a body of mass 5kg is moving with a velocity of 10 m/s, it momentum will be 5×10 = 50kgm/s

The change in momentum of a body is referred to as the impulse of the body.

from the formula;

v has a unit of meter per second (m/s)

m has a unit if kilogram (kg)

therefore the unit of measurement of p will be:

p = kg × m/s

p = kgm/s

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A polynomial, which is a mathematical expression. Numerous monomials, which are mathematical expressions, are gathered together in it.

When a variable in an equation like the quadratic equation, cubic equation, etc. has only non-negative integer powers or only positive integer exponents, the function is said to be polynomial.

When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable).

An expression in mathematics known as a polynomial. It is a collection of several monomials, which are mathematical expressions. That is, a quantity, a variable, or the result of a quantity and multiple variables.

Polynomial equations are equations that contain variables, exponents, and coefficients.

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The value of x is 73°

A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end. As a result, a polygon's line segments are referred to as its sides or edges.

The geometric shape known as a pentagon has five sides and five angles. Penta here means five, and gon means angle. One of the different kinds of polygons is the pentagon. A regular pentagon's internal angles add up to 540°.

Here we have a five-sided Polygon  

And the angles are 127°, 112°, 108°, 120°, and x°  

As we know the sum of angles = 540°  

=> 127° + 112° + 108° + 120° + x° = 540°

=> 467° + x° = 540°

=> x° = 540° - 467°

=> x° = 73°  

Therefore,

The value of x is 73°

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Complete question:  

Find the value of 'x' in the given Polygon.

Answer:

V = 38π/3 cubic units

Step-by-step explanation:

The formula for the shell method is given by:

V = 2π ∫(y)(x)dx

where x and y are the equations of the upper and lower bounds of the region being rotated. In this case, we have:

y = x

x = 2

So, the volume is given by:

V = 2π ∫(x)(x)dx from x=2 to x=3

V = 2π (x^3/3) from x=2 to x=3

V = 2π ((3^3/3) - (2^3/3))

V = 2π (27/3 - 8/3)

V = 2π (19/3)

V = 38π/3 cubic units

0.5  is the probability that a driver is having a conversation while driving.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, 6/10 drivers look at their phones while driving. 3/10 drivers are having a conversation and looking at their phones while driving.

Let P(A) be the probability of drivers looking at their phones while driving.

and P(B) be the probability of drivers looking at their phones while driving.

Since:

P(A) = 0.6

P(A ∩ B) = 0.3

P(B) = (P(A ∩ B))/ P(A)

P(B) = 0.3/0.6

P(B) = 1/2

therefore, the probability that a driver is having a conversation while driving is 0.5.

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The required measure of the segment ST is 2(a + b).

Midpoint is that point on the line whose distance from both ends of the line is equal.

Here,

Draw segment ST, put point Y where a line bisects the segment ST,
SY = a + b

Since y is the midpoint of the line ST, so,
ST = SY + YT   [SY = YT]
ST = a + b + a + b
ST = 2[a + b]

Thus, the required measure of the segment ST is 2(a + b).

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Total there are 3600 people working in that company.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, in a​ company, ​65% of the workers are women.

1,260 people work for the company who​ aren't ​women

So, here 35% of people work for the company who​ aren't ​women.

Let x be the total number of people.

Now, 35% of x=1260

35/100 ×x=1260

0.35x=1260

x=1260/0.35

x=3600

Therefore, total there are 3600 people working in that company.

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Answer:

15*280 = 4,200 m

Step-by-step explanation:

Since it's metric, you don't need to do much except multiply the 15 km by 280 m which is 28% of 1000 m.

Answer:

11

Step-by-step explanation:

If we know that she paid $74, and the discount is $25, we need to figure out the total price of the shirts before the discount.

74 + 25 = 99

Now that we know she spent $99 on shirts, we can divide that by 9 to get the number of shirts purchased.

99 ÷ 9 = 11

Therefore, she bought 11 shirts.

Answer:

"1/5" is the expression of "one divided by 5", because fractions can represent division as well as a ratio.

Answer:

one divided by 5 I think (Sorry if I'm wrong!)

The time taken is 5.3 years.

Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.

Compound interest is when you receive interest on both your interest income and your savings.

Given:

P = 50, 000

W= 5000

r= 1.8%= 0.018

n= 2

Using, P = W (1- [tex](1+ r/n)^{-nt}[/tex]) / (r/n)

Putting all the values we get

P = W (1- [tex](1+ r/n)^{-nt}[/tex]) / (r/n)

50000 = 5000 (1- [tex](1+0.018/2)^{-2t}[/tex]) / (0.018/2)

10 = (1- [tex](1+0.009)^{-2t}[/tex]) / (0.009)

0.09 = 1 - [tex](1.009)^{-2t[/tex]

[tex](1.009)^{-2t[/tex] = 0.91

Taking log on both side

-2t log 1.009 = log 0.91

t= log 0.91/ (log 0.091) / (-20

t= 5.3

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Answer:

  (b)  14

Step-by-step explanation:

You want the difference of functions f(x) = 3x² +1 and g(x) = 1 -x when x=2.

The notation (f -g)(x) means f(x) -g(x). Then (f -g)(2) is ...

  f(2) -g(2) = (3·2² +1) -(1 -2) = 13 -(-1) = 14

The value of (f -g)(2) is 14.

Answer:

abeni suq ae

Step-by-step explanation:

An equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since the line passes through the points (-6, 3) and (-6, 6), we can see that the x-coordinate is the same for both points. This means that the line is a vertical line, and has an undefined slope (division by zero).

The equation of a vertical line is x = constant, where the constant is the x-coordinate of the line. In this case, the constant is -6, so the equation of the line is:

x = -6

The instructions telling Robot Rob how to move and turn are as listed from 1 to 8

To make Robot Rob's path a parallelogram with a 10-foot side, a 20-foot side, and a 70-degree angle, you can use the following instructions:

1. Have Robot Rob move forward 10 feet.

2. Have Robot Rob turn left by 70 degrees.

3. Have Robot Rob move forward 20 feet.

4. Have Robot Rob turn left by 110 degrees (the angle that completes the parallelogram).

5. Have Robot Rob move forward 10 feet.

6. Have Robot Rob turn left by 110 degrees.

7. Have Robot Rob move forward 20 feet.

8. Have Robot Rob turn left by 70 degrees.

You can determine these instructions by using basic geometry and trigonometry. A parallelogram has opposite sides that are parallel and equal in length, so the 10-foot and 20-foot sides are opposite sides.

An angle of 70 degrees is used because the opposite angles of a parallelogram are supplementary. The total of the opposite angles of a parallelogram is 180 degree, which means the other angle is 180 - 70 = 110 degree.

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The length of the arc is equivalent to 5.024 miles.

The formula to calculate the arc length is -

L{arc} = (θ/360°) x 2πr

Given is that an arc that subtends a central angle of 12° in a circle of radius 24 miles.

We can write the length as -

L{arc} = (θ/360°) x 2πr

L{arc} = (12/360°) x 2 x 3.14 x 24

L{arc} = 1/30 x 2 x 3.14 x 24

L{arc} = 5.024 miles.

Therefore, the length of the arc is equivalent to 5.024 miles.

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I'll go ahead and help you with what I can.  :)

ADEG: Rectangle
What we know: all sides are 90 degree angles, opposite sides are parallel (two pairs of opposite parallel sides)  by definition of a rectangle.  This also means that AG is congruent/parallel to DE, and GE is congruent/parallel to AD.

Segment GE bisects (splits in half) both segments BC and AB (given).  

The transitive property: GE bisects segment BC and AB, which means that the resulting two segments from AB, BG and GA, are congruent to each other.  Not only this, but BE is congruent to EC.  So, if we already know that BG is congruent to GA, and GA is congruent to DE, then, by transitive property of congruence, BG is congruent to DE.

So, one side (hypotenuse, longest side) done.  BE is congruent to EC.

Next -- BG is congruent to DE, as we found.  Two sides done.

Last but not least, you can see that BEG and DEC are vertical angles.  Now you know that these angles are congruent.  

Of course, by construction, you can extend AD from point D to the right and find that its exterior angle, EDC, is congruent to GAD by the corresponding angles theorem.  You could also use construction again and extend AG by G upwards and find that BGE is congruent to GAD by, again, corresponding angles theorem.  

What we know:

Angle BGE is congruent to EDC, both 90 degrees.

BEG and DEC are vertical angles, both congruent.
BG is congruent to DE.  
BE is congruent to EC.
GBE is congruent to DEC by corresponding angles theorem.
So you can use ASA (angle B, side BG, and angle G) and (angle E, side ED and angle D) for the rest.  Then make sure to use CPCTC (congruent parts of congruent triangles are congruent).  :)

Good luck!

Answer:

IK = 24

Step-by-step explanation:

Since is says that O is the point of intersection of the three medians (also known as centroid) the segment JN which passes through a vertex of the triangle, would have to be a median to segment IK.

Medians divide a segment into two congruent parts, so IN = NK = 12 as we are given IN = 12.

IK is the sum of the measure of IN and NK, so in other words:

IK = IN + NK = 12 + 12 = 24

The side lengths of trigonometry a, b, and c are determined by the traveled distances, and the internal angles of the triangle are A, B, and C.

Trigonometry, a branch of mathematics, studies how triangle side lengths and angles relate to one another. Around the third century BC, the use of geometry in astronomical study led to the first appearance of the area. The study of specific trigonometric functions and how they could be applied to calculations is a topic covered in the branch of mathematics known as precise techniques. Trigonometry includes six well-known trigonometric operations. The names and acronyms for each are sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of triangle properties, specifically of right triangle properties. But geometry is the study of geometric figures and their features.

Here,

Given :

The sine rule or cosine rule, c2=a2+b2-2ab. cos(C), may be used to solve the issue if bearings between three sites result in the formation of a non-right-angled triangle between them.

The side lengths a, b, and c are determined by the traveled distances, and the internal angles of the triangle are A, B, and C.

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The complete question is " For what reason the cosine rule is used  in trigonometry  ?"

The factorisation of  x² - x -12 is (x-4)(x+3) and the factors are 4, -3.

A number or other mathematical object is factorized or factored when it is written as the product of numerous factors, often smaller or simpler things of the same sort. For instance, factorizing the number 15 as 3*5

A number is swiftly factorized into smaller numbers or factors of the number using the factorization formula. A factor is a number that evenly divides the inputted number.

The subsequent stages aid in the polynomial factoring process. The steps to factorizing a polynomial are listed below.

The expression is x² - x -12

⇒ x² - x -12 = 0

⇒x² - 4x + 3x - 12 = 0

⇒x(x-4) + 3(x-4) = 0

⇒(x-4)(x+3) = 0

or, x-4 = 0 ⇒ x = 4     and,

x+3 = 0 ⇒ x= -3

The factorisation of  x² - x -12 is (x-4)(x+3) and the factors are 4, -3

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The following expression can be expressed as 3/4x + y/2 (4x) + y/2 using the distributive property (7).

Floating point, also called to as "b raised to that same nth power," is a mathematical operation that requires two numbers: a ground number, b, and an exponent, or force, n. It is represented by the sign bn. A number's exponent reveals how many times that number has been multiplied by itself. For instance, the number 2-3 (read as 23) means 2 × 2 x 2 = 8. 2 + 3 = 6 does not equal 23. Remember that an integer multiplied by one equals itself. Exponents are a method for expressing large numbers as powers. The amount that illustrates how many times a number has been doubled by itself is called an exponent. As an example, multiplying 6 by 4 results in 6 x 6 x 6.

given

A power of a power is sped up by multiplying the exponents while maintaining the base constant.

As an illustration, (23)5 = 215 (xa)b= xa b for any positive number x and integers a and b.

Rephrase this as:

3/4x + y/2 (4x + 7).

The following expression can be expressed as 3/4x + y/2 (4x) + y/2 using the distributive property (7).

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The complete question is :-

Simplify the expression property of exponents of  3/4x + y/2 (4x + 7).

The key features of the graph of the function would be

1) Domain - (1, infinity).

2) The range of the function is (2, infinity).

3) The graph of the function is a monotonically increasing function.

4) The graph of the function is asymptotic to the x-axis as it approaches x = 1.

5) The graph is a straight line, that is passing through the point (1,2) and has a slope of 1.

6) The graph is a shifted version of the function log2(x) by 2 units upward.

What is the graph of the function?

The graph of a function is a visual representation of the relationship between the inputs and outputs of the function. It is a diagram that shows the set of all possible points (x,y) that satisfy the equation of the function y = f(x) or in the case of a multivariable function y = f(x,z).

The graph of the function g(x) = log2(x-1) + 2 has several key features. Some of these features include:

1) The domain of the function is (1, infinity) since the logarithm is defined for x>0 and x-1 >0.

2) The range of the function is (2, infinity) since the minimum value of log2(x-1) + 2 is 2.

3) The graph of the function is a monotonically increasing function, meaning that as the input x gets larger, the output g(x) also increases.

4) The graph of the function is asymptotic to the x-axis as it approaches x = 1. This means that as x gets closer to 1, the graph of the function gets closer to the x-axis but never touches it.

5) The graph is a straight line, that is passing through the point (1,2) and has a slope of 1.

6) The graph is a shifted version of the function log2(x) by 2 units upward.

Hence, the key features of the graph of the function would be

1) Domain - (1, infinity).

2) The range of the function is (2, infinity).

3) The graph of the function is a monotonically increasing function.

4) The graph of the function is asymptotic to the x-axis as it approaches x = 1.

5) The graph is a straight line, that is passing through the point (1,2) and has a slope of 1.

6) The graph is a shifted version of the function log2(x) by 2 units upward.

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Answer:

5.7

Step-by-step explanation:

216.6/38=5.7

Both are correct. Both quadrilaterals have two pairs of parallel sides and all sides are the same length. Option C is correct.

Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.

Here,
The question seems to be incomplete, so we assume that both figures are congruent figures,

As mentioned in the question, Diana says that the quadrilateral on the right is a rhombus and Melissa says that the quadrilateral on the left is a rhombus. Besides their statements both figures will be rhombus then as both figures are similar and have two pairs of opposite sides that are parallel and equal in length.

Thus, option C is correct.

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The person who drinks more water between Whitney and Troy is Troy.

Quantity of water Whitney drinks daily = 1500 ml

1000 milliliters = 1 liter

1500 milliliters = 1.5 litres

Quantity of water Troy drinks daily = 1.8L

The person who drinks more water= Quantity of water Troy drinks daily - Quantity of water Whitney drinks daily

= 1.8L - 1.5L

= 0.3L

In conclusion, Troy drinks 0.3 liters more water than Whitney.

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Answer:

y = 4/5x + 1

Step-by-step explanation:

8 pairs of socks are there.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Sixteen socks are put into pairs.

As, the pair consist two objects.

So, the number of pairs are

= 16/2

= 8 pair

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Answer:

P = 0.886 (88.6%)

Step-by-step explanation:

Of the 44 students there are 5 who do not apply to be chosen

[tex]P=\frac{44-5}{44} =\frac{39}{44} =0.886[/tex]

P = (0.886)(100) = 88.6%

Hope this helps.

Dilation is the process of enlarging or contracting a figure. Dilations are transformations that result in an enlargement or a decrease.

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