One way to prove this quadrilateral is a square is by calculating the slopes of its sides and the slopes of its diagonals.

We can prove that it has 2 pairs of parallel sides , one pair of consecutive sides perpendicular and perpendicular diagonals , then the quadrilateral shown above is a square.
By examining it we found that

a . Slope of CB is

b . Slope of DA is___ so DA is paralleled to CB.

c . Slope of CD is___ so CD is perpendicular to CB

d . Slope of BD is

e . Slope of CA is ___ so CA is perpendicular to BD

The height of the pencil box is 2 inches

The given parameters are:

Volume = 176

Length = 8

Width = 11

The height of the pencil box is calculated using

Height = Volume/(Length * Width)

So, we have:

Height = 176/(8 * 11)

Evaluate

Height = 2

Hence, the height of the pencil box is 2 inches

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Answer:

2 Inches

Step-by-step explanation:

Good Luck

Answer:

24 / 7

Step-by-step explanation:

y - 4(2y - 5) = -4

y - 8y + 20 = -4

-7y = -24

7y = 24

y = 24/7,

y = 3 and 3/7

or

y = 3.428571 all recurring

(they are all the same value in different forms I would just write 24/7)

Simplifying equation is done by either reducing the complexity or the components parts of an equation for better understanding.

This means to make simpler, either by reducing in complexity, reducing to component parts, or making easier to understand.

Simplification is an act of simplifying an equation or expression.

For instance,

Simplify 4(3x + 2) - 4(2x)

= 12x + 8 - 8x

= 12x - 8x + 8

= 4x + 8

Simplify 1/2 + 2/3

= (3+4) / 6

= 7/6

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Anthony's "hiring process" or "recruitment period" was 30 days.

The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.

The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.

In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.

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Answer:

A single outlier does not affect the values of the quartiles.

Step-by-step explanation:

It is given that data are collected for each band member that spends time on practicing in minutes.

We know that the interquartile range is defined as \($\text{the difference between the upper quartile,}$\) \(Q_3\) and the lower quartile, \(Q_1\).

This interquartile range describes the middle i.e. the 50 percent of the values when it is ordered from the lowest to the highest or may be from the highest value to the lowest values.

Therefore, the IQR is considered to be a better measure of the spread then the range since the values are not affected by the outliers.

Therefore, we see that the single outlier does not affect the values of the quartiles, it does not change the lower quartile as well as the upper quartiles.

The precision of the protractor will determine the level of uncertainty in the measurement. A high-quality protractor will enable more precise measurements than a low-quality protractor with less accurate markings.

To determine the angle and its uncertainty, you'll need to provide the measured values and their uncertainties.  Using a protractor can provide a relatively precise measurement, but its precision may not be as high as specialized instruments or methods.

In order to determine an angle and its uncertainty, additional information is needed such as the degree of precision required, the size of the angle, and the measurement methodology. Without this information, it is impossible to determine the angle and its uncertainty.

Whether a protractor can be used to measure the angle with the required precision also depends on the quality of the protractor being used. A high-quality protractor with accurate markings and a clear scale will enable more precise measurements than a low-quality protractor with less accurate markings and a less clear scale.

Therefore, the precision of the protractor will determine the level of uncertainty in the measurement.

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the correct option is option d): ∫(x² cos(3x)) dx = (x/3 + 1/27) * sin(3x) + C. To solve the integral ∫(x² cos(3x)) dx, we can use integration by parts.

Let's use the following formula for integration by parts:

∫(u * v) dx = u * ∫v dx - ∫(u' * ∫v dx) dx,

where u' is the derivative of u with respect to x.

In this case, let's choose:

u = x² => u' = 2x,

v = sin(3x) => ∫v dx = -cos(3x)/3.

Now, applying the formula:

∫(x² cos(3x)) dx = x² * (-cos(3x)/3) - ∫(2x * (-cos(3x)/3)) dx.

Simplifying:

∫(x² cos(3x)) dx = -x² * cos(3x)/3 + 2/3 * ∫(x * cos(3x)) dx.

Now, we have a new integral to solve: ∫(x * cos(3x)) dx.

Applying integration by parts again:

Let's choose:

u = x => u' = 1,

v = (1/3)sin(3x) => ∫v dx = (-1/9)cos(3x).

∫(x * cos(3x)) dx = x * ((1/3)sin(3x)) - ∫(1 * ((-1/9)cos(3x))) dx.

Simplifying:

∫(x * cos(3x)) dx = (x/3) * sin(3x) + (1/9) * ∫cos(3x) dx.

The integral of cos(3x) can be easily found:

∫cos(3x) dx = (1/3)sin(3x).

Now, substituting this back into the previous expression:

∫(x * cos(3x)) dx = (x/3) * sin(3x) + (1/9) * ((1/3)sin(3x)) + C.

Simplifying further:

∫(x * cos(3x)) dx = (x/3) * sin(3x) + (1/27) * sin(3x) + C.

Combining the terms:

∫(x * cos(3x)) dx = (x/3 + 1/27) * sin(3x) + C.

Therefore, the correct option is option d):

∫(x² cos(3x)) dx = (x/3 + 1/27) * sin(3x) + C.

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The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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The statement is false because adding a vector to a set of vectors can increase its span, but the new span is not necessarily the same as the original span.

The statement is false. To prove this, consider three vectors u1, u2 and u3 that span R3, and a vector u4 that is not a linear combination of

u1, u2 and u3.

The span of

{u1, u2, u3, u4}

will be a subset of the span of

{u1, u2, u3}.

This means that the span of

{u1, u2, u3, u4}

will contain all the vectors that the span of {u1, u2, u3} contains, plus the vector u4. However, it does not necessarily mean that the span of

{u1, u2, u3, u4} will be the same as the span of {u1, u2, u3},

as there may be other vectors that are in the span of

{u1, u2, u3, u4}

but not in the span of {u1, u2, u3}. Hence, the statement is false.

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The complete question is

Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4 = 0. The span of {u1, u2, u3, u4} is a subset of the span of {u1, u2, us}, but the span of {u1, u2, u3, u4} is not the same as the span of {u1, u2, us}.

Answer:

40π m² and 125.6 m²

Step-by-step explanation:

the area (A)  of the sidewalk is calculated as

A = outer area - inner area

(a)

A   = πr₁² - πr₂² ( r₁ is radius of outer circle and r₂ the radius of inner circle )

A  = π × 11² - π × 9²

  = 121π - 81π

 = 40π m²

(b)

A = 40 × 3.14 = 125.6 m²

Answer:

B. 45 is the correct answer

100

Answer:

7 brushes (6 when they were equal, but at 7 brushes, it is cheaper at the supply store)

Step-by-step explanation:

To find this one, you are going to write two equations, then go from there. For the art supply store, your slope would but 5x, and your y-int would be 24, (as you have to buy an easel whatsoever). That's y=5x+24. For the paint store, your slope in 6x and your y-int in 18, so that's y-6x+18. You can put these two equations into the Desmos graphing calculator, and it shows you that the lines intersect when x=6, so that's when the price would be equal, but to get a better price at the art supply store, you would have to buy 7 brushes, as that is when the price is better.

The Total surface area of each given figure are:

g) 165 in²

h) 869 in²

i) 1146.57 ft²

j) 400 m²

g) The area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Area of left triangle = ¹/₂ * 10 * 8 = 40 in²

Area of right triangle = ¹/₂ * 10 * 25 = 125 in²

Total surface area = 40 in² + 125 in²

Total surface area = 165 in²

h) This will be a total of the trapezium area and triangle area to get:

Total surface area = (¹/₂ * 22 * 19) + (¹/₂(22 + 38) * 22)

Total surface area = 209 + 660

Total surface area = 869 in²

i) Total surface area is:

T.S.A = (50 * 30) - ¹/₂(π * 15²)

T.S.A = 1146.57 ft²

j) Total surface area is:

TSA = 20 * 20 (This is because the removed semi circle is equal to the additional one and when we add it back to the square, it becomes a complete square)

TSA = 400 m²

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Answer:

Step-by-step explanation:

We can use combinations

20 choose 4:

20!/(16!*4!)

= (20*19*18*17)/4!

= 4845

Answer:

Step-by-step explanation:

by inspection.. just looking at the graph

slope = - 1/2    (called m )

Y-intercept is at 1

line equation is then

y= mx + b

y= -1/2x +1  

:)

It would cost $516.60 for four people to stay at the motel for one week, considering the 10% discount for seven consecutive days.

To calculate the cost of lodging for four people staying at the motel for one week, we'll consider the discounted rate for seven consecutive days.

The regular rate for a room accommodating four people is $82.00.

To find the discounted rate for seven days, we need to apply a 10% discount. To do this, we calculate the discount amount:

Discount = 10% of $82.00

= 0.10 * $82.00

= $8.20

Now, we subtract the discount from the regular rate to obtain the discounted rate:

Discounted Rate = Regular Rate - Discount

= $82.00 - $8.20

= $73.80

Therefore, the cost of lodging for four people staying at the motel for one week (seven consecutive days) would be $73.80 per day.

To calculate the total cost for the entire week, we multiply the daily rate by the number of days:

Total Cost = Daily Rate * Number of Days

= $73.80 * 7

= $516.60

Thus, it would cost $516.60 for four people to stay at the motel for one week, considering the 10% discount for seven consecutive days.

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Answer:

-1+1

Step-by-step explanation:

cause takes out one gallon then adds one

Answer:

its not -1+1 NOT HELPFUL

Step-by-step explanation:

hi how is your day

To fulfill the request, two tasks need to be completed. First, a classified statement of marks must be prepared, displaying the marks in the correct order and format. Second, the required closing entries should be prepared, including all necessary calculations.

1) To prepare a classified statement of marks, the marks should be organized in the correct order, such as by subject or category. The statement should clearly display the marks achieved by each student, enabling easy comparison and analysis.

2) Closing entries are necessary to transfer temporary account balances to permanent accounts at the end of an accounting period. These entries help ensure that the temporary accounts are reset to zero for the next accounting period. The required closing entries typically involve transferring revenues, expenses, and dividends to the appropriate accounts. Calculations may be required to determine the closing entries, such as calculating net income or determining the dividend amount. These calculations will depend on the specific financial data and accounts involved in the accounting system being used.

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Answer:

5 and -3

Step-by-step explanation:

x+y =2

X-Y=-8

BY USING SIMULTANEOUS EQUATION

SUBTRACT SUCH THAT

2Y=10

SO Y = 5

X= -3

Answer:

40 mg

Step-by-step explanation:

The ratio is 10:9 because 50:45 divided by 5 gives 10:9

if you divide 36/9 that gives you 4, then multiply your ratio by 4 to get 40:36.

Answer:

y=1/6x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(0-(-6))

m=1/(0+6)

m=1/6

y-y1=m(x-x1)

y-3=1/6(x-(-6)(

y-3=1/6(x+6)

y=1/6x+6/6+3

y=1/6x+1+3

y=1/6x+4

Answer:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

Step-by-step explanation:

The trigonometric function sin2x = -0.49

Given that,

cos(x) = -1/4              tan(x) < 0

x = cos⁻¹(-1/4)

x = 104.47

We will solve the trigonometric function as;

To find sin2x,

Let,

sin2x = sin 2 * 104.47

         = sin208.95

         = -0.484

         ≅ -0.49

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Answer:

B. -√15 / 4

Step-by-step explanation:

I can feel it in my nuggets

Answer:

Step-by-step explanation:

1.    200%A = 2A

B is 200% more than A means:

B = A + 200%A = A + 2A = 3A

2.    65%F = 0.65F

D is 65% more than F means:

D = F + 65%F = F + 0.65F = 1.65F

3.    250%T = 2.5T

Y is 250% more than T means:

Y = T + 250%T = T + 2.5T = 3.5T