Determine if this quadrilateral is a parallelogram. Justify your answer.

Answer:

A = 628.32

Step-by-step explanation:

Area of a circle = 2[tex]\pi[/tex][tex]r^{2}[/tex]

A = 2 x [tex]\pi[/tex] x [tex]10^{2}[/tex]

A = 628.32

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Answer:

4

Step-by-step explanation:

Given that:

There are 6 boxes of pencils, 14 boxes of pens and 16 boxes of paper.

Total number of original boxes = 6 + 14 + 16 = 36

To find:

Number of additional boxes of paper to be added so that the probability of getting a paper box while selecting a random box becomes exactly [tex]\frac{1}{2}[/tex].

Solution:

First of all, let us have a look at the formula of probability:

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, number of favorable cases will be equal to the number of paper boxes and

Total number of cases will be equal to the total number of boxes available.

Let us first calculate the original probability:

[tex]\frac{16}{36}\neq \frac{1}2[/tex]

If 1 paper box is added, then probability

[tex]\frac{17}{37}\neq \frac{1}2[/tex]

If 2 paper boxes are added, then probability

[tex]\frac{18}{38}\neq \frac{1}2[/tex]

If 3 paper boxes is added, then probability

[tex]\frac{19}{39} \neq \frac{1}2[/tex]

If 4 paper boxes is added, then probability

[tex]\frac{20}{40} = \frac{1}2[/tex]

Therefore, we need to add 4 paper boxes.

The probability of randomly selecting a box of paper from this shipment to be exactly 1/2  need to add 4 boxes.

Given that,

The shipment contains 6 boxes of pencils

And 14 boxes of pens, and 16 boxes of paper.

We have to find,

How many additional boxes of paper must be added to the original 36 boxes in order for the probability of randomly selecting a box of paper from this shipment to be exactly 1/2.

According to the question,

Total no. of original boxes = 6 + 14 + 16 = 36

Formula for probability of an event E can be observed as:

[tex]P(E) = \frac{Number \ of \ favourable \ cases}{Total \ number \ of \ cases }[/tex]

Here, number of favorable cases will be equal to the number of paper boxes,

Total number of cases will be equal to the total number of boxes available.

The probability of randomly selecting a box of paper from this shipment to be exactly 1/2 .

Let us first calculate the original probability:

[tex]\frac{16}{36} \neq \frac{1}{2}[/tex]

The probability of original paper boxes is not  1\2.

If 1 paper box is added, then probability,

[tex]\frac{17}{37} \neq \frac{1}{2}[/tex]

The probability of 1 paper boxes is not 1\2.

If 2 paper box is added, then probability,

[tex]\frac{18}{38} \neq \frac{1}{2}[/tex]

The probability of 2 paper boxes is not 1\2.

If 3 paper boxes are added, then probability,

[tex]\frac{19}{39} \neq \frac{1}{2}[/tex]

The probability of 3 paper boxes is not 1\2.

If 4 paper boxes is added, then probability,

[tex]\frac{20}{40} = \frac{1}{2}[/tex]

The probability of 4 paper boxes is 1\2.

Hence, The probability of randomly selecting a box of paper from this shipment to be exactly 1/2  need to add 4 boxes.

To know more about Probability click the link given below.

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Answer: i believe it’s $45

Step-by-step explanation:

Answer:

Area of trapezoid = 200 m²

Step-by-step explanation:

Parallel side1 a= 15m

Parallel side2 b= 25m

Perpendicular distance h = 10 m

We need to find area of the trapezoid.

The formula used to find area of the trapezoid is: [tex]Area \ of \ trapezoid=\frac{a+b}{2}h[/tex]

Putting values and finding area of the trapezoid:

[tex]Area \ of \ trapezoid=\frac{a+b}{2}h\\Area \ of \ trapezoid=\frac{15+25}{2}\times 10\\Area \ of \ trapezoid=40\times5\\Area \ of \ trapezoid=200 \ m^2[/tex]

So, area of trapezoid = 200 m²

9514 1404 393

Answer:

Step-by-step explanation:

To find a, b, c, compare the given function to ...

  f(x) = ax² +bx +c

You will see that ...

The y-intercept is the function value for x=0. It is the constant term:

  y-intercept = f(0) = -24

Use the above values of a, b to find the line of symmetry.

  [tex]x = \dfrac{-b}{2a}=\dfrac{-8}{2\cdot\dfrac{-2}{3}}=8\cdot\dfrac{3}{4}=6[/tex]

Per the calculation, the line of symmetry is ...

  x = 6

The negative leading coefficient tells you the parabola opens DOWN.

Because it opens down, the vertex at (6, 0) is a Maximum.

As with any polynomial, the domain is "all real numbers", hence any x that is an element of Reals.

The range is all values below the vertex (including the vertex), so is ...

  x ≤ 0

Step-by-step explanation:

let no of gigabyte be x GB.

40 + 12x = 30 + 14x

10 = 2x

x = 5

therefore, 5 GB

Topic: algebraic eqn

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

The answer is D. all real numbers

Step-by-step explanation:

Answer:

The first answer choice(653.5=50+35.5m)

Step-by-step explanation:

Since she deposited 35.5 each month, that would be variable m, and there was already 50 in her account, making it a constant number 50.

Answer:

653.5 / 50 = 35.5

Step-by-step explanation:

You have to divide 653.5 by 50 to get the amount of months she made deposits into her account.

Answer: it could be boy girl boy girl, or it can go boys first and girls last, or it can be girls first and boys first, so i would say 3 ways

Step-by-step explanation:

hope this helped

Answer:

The school purchased 4 soccer balls.

Step-by-step explanation:

Total cost of basketball and soccer ball = $248

We are given: The number of basketballs purchased was 6 less than 3 times the number of soccer balls purchased.

We can write it as

x = Soccer Balls

3x-6 = Basketballs

Cost of each Soccer Ball = $20

Cost of each Basketball = $28

The equation will become

[tex]20(x)+28(3x-6)=248[/tex]

Solving the equation to find x

[tex]20(x)+28(3x-6)=248\\20x+84x-168=248\\104x=248+168\\104x=416\\x=\frac{416}{104} \\x=4[/tex]

So, Soccer balls x = 4

Basketballs = 3x-6 = 3(4)-6 = 12-6 = 6

So, the school purchased 4 soccer balls.

Answer:

1.circle 1 Tringle 3 square 1

2.2x3+1=7

Step-by-step explanation:

Answer:

HK = 16

Step-by-step explanation:

12^2+x^2=20^2

x = HK

Answer:

Solving the inequality we get x>-9.33

The graph is shown in figure attached.

Step-by-step explanation:

We need to solve the inequality: [tex]34 > 3(2-x)[/tex]

Solving:

[tex]34 > 3(2-x)\\[/tex]

Switching the sides , reversing the inequality and  Multiply 3 with terms inside the bracket

[tex]3(2-x)<34\\6-3x<34[/tex]

Subtract 6 from both sides

[tex]6-3x-6<34-6\\-3x<28[/tex]

Divide both sides by -3 and inequality will be reversed

[tex]\frac{-3x}{-3} >\frac{-28}{3} \\x>\frac{-28}{3}\\x>-9.33[/tex]

Solving the inequality we get x>-9.33

The graph is shown in figure attached.

Answer:

-13

Step-by-step explanation:

-5 + 2( 8 - 12 )

Distribute;

-5 + 2 ( 8 - 12 )

-5 + 16 - 24

Simplify;

-5 + 16 - 24

11 - 24

-13

Answer:

-13

Step-by-step explanation:

Follow the Order of Operations:

1. Parentheses

2. Exponents

3. Multiplication and Division

4. Addition and Subtraction

Parentheses:

-5+2(-4)

Exponents:

There is no exponents so we can skip that step

Multiplication and Division:

-5-8

Addition and Subtraction:

-13

Hope this helps! Have a safe and wonderful Thanksgiving!

Answer:

20%

Step-by-step explanation:

Subtract the selling price from the wholesale price.

86.40-72.00=14.4

Find the percentage of the difference from the wholesale price.

14.4/72.0=0.2

This means 20%.

Answer:

$50 a month for 4 months until the camera is paid off.

Step-by-step explanation:

375- 175

200

200/4 = 50

$50 each moth

Answer:

a.)leroi he has 100  B.) she will have more money in the long run

Step-by-step explanation:

did this lesson before

Answer:

10% of 100 is 10$. Leroi also puts in 10$. So, they put in the same amount.

A and B: It will be equal.

Answer:

A

Step-by-step explanation:

Answer:

C. 7,8,9,10,11,12,13

Step-by-step explanation:

I finish it from Schoology.

Answer: -5/3

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex]

You substitute the numbers in and subtract to get -5/3.

Answer:

0

Step-by-step explanation:

Answer:

C.....................

Answer:

A proportional relationship is something like:

y = k*x

Where k is the constant of proportionality

And a linear relationship is something like:

y = a*x + b

Is easy to see that if:

a = k, and b = 0, this would be a proportional relationship.

Then if we want to have a slope equal to 3, but this must not be a proportional relationship, we must only have b different than 0.

This could be something like:

y = 3*x + 1

The graph of this is:

A linear non - proportional relationship could be written with as a slope - intercept with a non - zero intercept value. One such relationship with a slope of 3 can be expressed thus :

Here, the linear relationship, has a slope value of 3 and an intercept value of 5. The function cannot be proportional due to the presence of a non-zero constant

Hence, Using a graphing calculator, the sketch of the linear relationship is attached.

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Answer:

deeeeeeeeeezzzzzzeeee nits

Answer: m∠BCE = 63°

              m∠BAD = 76°

Step-by-step explanation:

Problem 1:

Given

m∠BEC = 90°

m∠EBC = 27°

Total = 117°

Solution:

Subtract 180° - 117° = m∠BCE = 63°

Problem 2:

Given

m∠ADE = 52°

m∠ABE = 52°

Total = 104°

Solution:

Subtract 180° - 104° = m∠BAD = 76°