At a game show, there are 8 people (including you and your friend) in the
front row.
The host randomly chooses 3 people from the front row to be contestants.
The order in which they are chosen does not matter.
How many ways can you and your friend both be chosen?

well, the only difference from a parallelogram that is a square or a rectangle and one that isn't, is that the interior angles are 90° in the square and rectangle, however for other ones, like the one in the picture below, they are not 90°.

however, getting to any vertex, is just a matter of moving horizontally and vertically the same distances, as you see those arrows on the picture, since both pair of sides are parallel, one moves the same distance horizontall and vertically to get to the next vertex, so on that, is the same as for a square or rectangle as well.

is only different in that you're not moving alongside the segment, in a rectangle or a square, the lines are only vertical or horizontal, so you simply move straight to get the next vertex, on other parallelograms like the one below, you do move the same but is not alongside the segments.

Answer:

[tex]\large\boxed{V=140\ in^3}[/tex]

Step-by-step explanation:

[tex]V=\dfrac{Bh}{3}\to\text{it's a formula of a volume of a pyramid or a cone}\\\\B-base\ area\\h-height\\\\\text{We have}\ B=15\ in^2\ \text{and}\ h=28\ in.\\\\\text{Put the given values to the formula of a volume:}\\\\V=\dfrac{(15)(28)}{3}=(5)(28)=140\ in^3[/tex]

Answer:

- [tex]\frac{\sqrt{2-\sqrt{2} } }{2}[/tex]

Step-by-step explanation:

Note that [tex]\frac{5\pi }{8}[/tex] is in the second quadrant

where cos < 0 , hence overall sign will be negative

Using the half- angle formula

cos [tex]\frac{5\pi }{8}[/tex]

= - [tex]\sqrt{\frac{1+cos\frac{5\pi }{4} }{2} }[/tex]

= - [tex]\sqrt{\frac{1-\frac{\sqrt{2} }{2} }{2} }[/tex]

= - [tex]\sqrt{\frac{2-\sqrt{2} }{4} }[/tex]

= - [tex]\frac{\sqrt{2-\sqrt{2} } }{2}[/tex]

Answer: 49

Step-by-step explanation

Am god

Answer:

-24 - 4ε

Step-by-step explanation:

100000000000 = 10¹¹ [One hundred billion]

You multiply this by -5 to get -500000000000. Now, "⁻²" means you will be taking the Multiplicative Inverse of whatever this result is, and since it is a long answer, I decided to give it to you in Calculus [Calculator] Notation.

Answer:the answer is ten to the eleventh minus five and then minus itself twice times ten

Step-by-step explanation:

Answer:

"The electrician charges an initial fee of $42", AND "The electrician charges $22 for every hour worked" is true.

Step-by-step explanation:

The equation is y=22x+42.

The formula is y=mx+b.

m is the slope, or is this case, the number of dollars for every "x", which is the number of hours worked. So you have to pay $22 for every hour the electrician works.

b is the y-intercept, or the amount it starts with, in this case, you have to pay a fee of $42 even when the electrician worked 0 hours. This is because $42 is the amount it starts with.

On a graph, the line will start at (0,42) because that is when you start paying. And then it will increase by 22 for each hour, so the next coordinate would be (1,64).

The equation y = 22x + 42 indicates that an electrician charges a base fee of $42, plus an additional $22 for every hour worked. Thus, the correct statements are 'The electrician charges an initial fee of $42' and 'The electrician charges $22 for every hour worked.'

The equation y = 22x + 42 is a linear function where the y-variable represents the total dollars the electrician charges and the x-variable represents the number of hours worked. From this equation, we can immediately discern two truths:

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Answer:

See explanation

Step-by-step explanation:

ASA Postulate (Angle-Side-Angle):

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider triangles XYB and ZYA. In these triangles

By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so

BX≅AZ

[tex]\rm \overline{AZ} \cong \overline{BX}[/tex]

Please refer the below solution.

Step-by-step explanation:

Given :

[tex]\rm \angle X \cong \angle Z[/tex][tex]\rm \angle Y \;is\;common[/tex]

[tex]\rm \overline{XY} \cong \overline{ZY}[/tex]

Solution :

According to ASA (Angle Side Angle) postulate:

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then both the triangles are congruent.

Now, consider triangle XBY and ZAY

[tex]\rm \angle X \cong \angle Z[/tex]

[tex]\rm \overline{XY} \cong \overline{ZY}[/tex]

[tex]\rm \angle Y \; is \; common[/tex]

According to ASA postulate triangle XBY and ZAY are congruent. And congruent triangles have congruent corresponding sides, therefore

[tex]\rm \overline{AZ} \cong \overline{BX}[/tex]

For more information, refer to the link given below

https://brainly.com/question/10629211?referrer=searchResults

Answer:

y ≈ 358.3 ft

Step-by-step explanation:

The angle in the right side of the triangle = 28° ( alternate angle )

Using the tangent ratio in the right triangle to solve for y

tan28° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{350}{y}[/tex]

Multiply both sides by y

y × tan28° = 350 ( divide both sides by tan28° )

y = [tex]\frac{350}{tan28}[/tex] ≈ 658.3 ft

y = 658.3ft. The value of the side y of the right triangle shown in the image is 658.3ft.

The key to solve this problem we have to use the trigonometric functions tan θ = opposite leg/adjacent leg

To find side y, where opposite leg = 350ft, adjacent leg = y, and θ = 28° by symmetry:

tan θ = opposite leg/adjacent leg

tan 28° = 350ft/y

Clear y:

y = 350ft/tan 28°

y = 658.254ft

Round to the nearest tenths y = 658.3ft

Answer:

The equation can be written as

x+3y=6

To graph, you need to create a table for values of x with corresponding values of y that satisfy the equation

Sample points that solve the equation could be;

(-3,3),(3,1) and (-9,5)

From the graph attached, the three points are;

Answer with Step-by-step explanation:

As we can clearly see from the graph the value of f(x)=0 at x=2 and x= -4

a. f(x)=|x-1|+3

at x=2

f(2)=|2-1|+3

    = 1+3

    =4

Hence, this function is not represented by the graph

c. f(x)=|x-1|-3

at x=2

f(2)= |2-1|-3

    = 1-3

    = -2

Hence, this function is not represented by the graph

d. f(x)=|x+1|+3

at x=2

f(2)= |2+1|+3

    = 3+3

    = 6

Hence, this function is not represented by the graph

Hence, Correct option is:

b. f(x)=|x+1|-3

Answer:

The answer is B

Step-by-step explanation:

First you must bring 6 to the other side of the equation so it equals zero. To do this subtract 6 to both sides

20p^2+33p+16 - 6=6​ - 6

20p^2+33p+10=0

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

[tex]ax^{2} +bx +c = 0[/tex]

That means that in this equation...

a = 20

b = 33

c = 10

^^^Plug these numbers into the quadratic equation and solve...

[tex]\frac{-33+/-\sqrt{(33)^{2}-4(20)(10)}}{2(20)}[/tex]

[tex]\frac{-33 +/-\sqrt{1089-800}}{40}[/tex]

[tex]\frac{-33+/-\sqrt{289} }{40}[/tex]

[tex]\frac{-33+/-17}{40}[/tex]

Keep in mind that +/- is ±

[tex]\frac{-33+17}{40}[/tex] ---> -2/5 ---> -0.4

[tex]\frac{-33-17}{40}[/tex] ---> -5/4 ---> - 1.25

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

120°.

Step-by-step explanation:

The sum of all interior angles in a polygon with [tex]n[/tex] sides ([tex]n\in \mathbb{Z}[/tex], [tex]n \ge 3[/tex]) is equal to [tex](n - 2) \cdot 180^{\circ}[/tex]. (Credit: Mathsisfun.)

The polygon here has 6 sides. [tex]n = 6[/tex]. Its interior angles shall add up to [tex](6 - 2) \times 180^{\circ} = 720^{\circ}[/tex].

Consider the properties of a regular polygon. (Credit: Mathsisfun.)

There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be

[tex]\displaystyle \frac{1}{6}\times 720^{\circ} = 120^{\circ}[/tex].

The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,

[tex]110-2x+x+50+5x-40=180[/tex]

Simplify this.

[tex]4x+120=180[/tex]

[tex]4x=60[/tex]

[tex]x=15[/tex]

Now we can find each angle measure.

[tex]110-2x[/tex]

[tex]110-2(15)[/tex]

[tex]110-30[/tex]

[tex]80[/tex]

[tex]x+50[/tex]

[tex]15+50[/tex]

[tex]65[/tex]

[tex]5x-40[/tex]

[tex]5(15)-40[/tex]

[tex]75-40[/tex]

[tex]35[/tex]

So the angle labeled [tex]110-2x[/tex] is the largest angle in the triangle.

Answer:

x=15

biggest angle is 110-2x

Step-by-step explanation:

Answer:

[tex]\sqrt{85}[/tex] (about 9.2195) units

Step-by-step explanation:

The formula for the distance between two points is: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Substitute the values. [tex]\sqrt{(-5 - 4)^2 + (8 - 6)^2}[/tex]

Subtract. [tex]\sqrt{(-9)^2 + 2^2}[/tex]

Solve the exponents. [tex]\sqrt{81 + 4}[/tex]

Add. [tex]\sqrt{85}[/tex]

This is as simple as the solution can get without estimating, but we can use a calculator to estimate that the distance is about 9.2195 units.

Hey there! :)

Find the distance between (-5, 8) (4, 6)

The formula to find the distance is : d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2[/tex]

Where : -5 = x1 , 4 = x2 , 8 = y1 , 6 = y2

Now, simply plug everything into our equation.

[tex]d = \sqrt{(4 + 5)^2 + (6 - 8)^2}[/tex]

Let's simplify this now.

[tex]d = \sqrt{9^2 - 2^2}[/tex]

Simplify again.

[tex]d = \sqrt{81 + 4} = \sqrt{85}[/tex]

Therefore, our distance is [tex]\sqrt{85}[/tex] OR 9.22

Hope this helped! :)

Answer:

22 and 0

Step-by-step explanation:

−44 > −2x − 8 ≥ −8?

/-2    - 44  > -2x / .  -2      -8 ≥ -8

        = 22                              +8 =0

Answer:

An equivalent form of the compound inequality is the pair of single inequalities:

Explanation:

You can split the compound inequality into two equivalent inequalities by taking each side from the variable.

The compound inequality −44 > −2x − 8 ≥ −8 means that two conditions must be satisfied:

    1. From the left side: - 44 > - 2x - 8

    2. From the right side: −2x − 8 ≥ −8

Then, as a first approach you can tell that an equivalent form of the compound inequality is the pair of single inequalities:

You should put the variable on the left sides, which will yield the best form of an equivalent pair of inequalitis.

That is the best choice of an equivalent form, and from there you can solve the inequalities which will permit to obtain the solution. Of course, you can manipulate the variable and find many other equivalent forms.

Notice, that both inequalities must be satisfied simultaneously.

This is how you solve that system

        Add 8 to both sides: - 2x < -36

         Divide both sides by - 2 (you have to change the sign): x > 18

-

        Add 8 to both sides: - 2x ≥ 0

        Divide by - 2 (again, you must change the sign): x ≤ 0

Then, the solution set is:

This is, you conclude that the compound inequality is false, because there is not a value of x which is a solution.

Answer:

0.05

Step-by-step explanation:

This question is on probability

A uniform distribution means there is equal probability density for every number.

This  graph will be distributed to form a rectangle with area 1 unit square.

The base/range = 58-48 =10

Height of rectangle should be such that the area is 1 square unit. i.e 1/10 units

The probability will be found by calculating the area under the graph;

P( 51.25≤ x ≤ 51.75) , Area = (51.75-51.25)×1/10

0.5/10 =0.05

\frac{d}{dx}\left(\frac{1+x^4+x^6}{x^2+x+1}\right)=\frac{4x^7+5x^6+8x^5+3x^4+4x^3-2x-1}{\left(x^2+x+1\right)^2}

copy and paste that into a URL

Answer:

15

Explanation:

180 times / 12 weeks = 15 times in one week

Answer:

Use distributive property:

2x + 12 = 3x - 12 + 5

Step-by-step explanation:

This can allow for combining like terms later on, and eventually isolating x as a variable.

For this case we have the following equation:

[tex]2 (x + 6) = 3 (x-4) +5[/tex]

The first step we must follow to solve the equation is to apply distributive property to the terms within the parenthesis:

[tex]a (b + c) = ab + ac[/tex]

Then, the equation is:

[tex]2x + 12 = 3x-12 + 5[/tex]

Answer:

The first step is to apply distributive property to the terms within parentheses.

Answer:

250 miles

Step-by-step explanation:

Let number of mile driven be x

plan 1: Cost = 0.7x

plan 2: Cost = 50 + 0.5x

for both plans to cost the same,

Plan 1 Cost = Plan 2 Cost

0.7x = 50 + 0.5x   (solve for x)

0.7x - 0.5x = 50

0.2x = 50

x = 250 miles

Answer:

25%

Step-by-step explanation:

Since Normal Distribution is symmetrical Distribution and 5.3 and 10.7 are both 2.7 below and 2.7 above the mean respectively.

So, % of students less than 5.3 hours per week is 25%

Answer:

x = 4

Step-by-step explanation:

hope this helps!!!

Answer:

1. $(x+0.03) - $x

2. $ 34.21

Step-by-step explanation:

Let the price of XYZ inc's share to be = $ x

On Monday, the price drops by $ 0.02 = $ x- $ 0.02 = $ (x-0.02)

New price of shares on Monday is = $ (x- 0.02)

On Tuesday the price goes up by $0.05 = $ (x-0.02) + $ 0.05 = $(x-0.02+0.05)

New price on Tuesday = $( x+ 0.03)..............................................(a)

Change in price of one share of XYZ's stock= Price on Tuesday - price of share

                                         = $(x+0.03) - $x..........................................(b)

2. Give that x= $34.18  solve equation (a) above

Price on Tuesday at close of business= $ (x+0.03)

                                                               = $ (34.18+0.03)

                                                                = $ 34.21

Answer:

y = -3x+17

Step-by-step explanation:

1. Find the change in y corresponding to the change in x. In this case x is changing by +3 and y is changing by -3. That is your m in y=mx=b.

2. y= -3x + b

To find b substitute a set into the equation. I used 4 and 5.

5= -3(4) +b

3. 5= -12 +b ,add  12 to both sides.

17= b

4. y = -3x+17

Answer:

a y=  -x+9

Step-by-step explanation:

Answer:

D Subtraction Property of Equality

Step-by-step explanation:

Whenever we subtract the same number of expression from both sides of the equation, the equality remains the same.

Reason A.  - Consecutive Interior Angles

Reason B.  - Substitution Property of Equality

Reason C.  - Subtraction Property of Equality

The Property of equality that accurately completes Reason B in the figure and flowchart proof is the Addition Property of Equality (A).

The property of equality that accurately completes Reason B in the figure and flowchart proof is the Addition Property of Equality (A).

The Addition Property of Equality states that if you add the same number to both sides of an equation, the equality is still preserved. In other words, if A + B = B + A, you can add the same number to both sides to obtain A + B + C = B + A + C, where C is any number.

In the given figure and flowchart proof, the equation A + B = B + A represents the Addition Property of Equality, and by applying this property, we can conclude that Reason B should be completed with the Addition Property of Equality (A).

Answer:

A. Sector

Step-by-step explanation:

A Sector represents a region of a circle.

Answer:

The one that represents a region of a circle is A: Sector.

Step-by-step explanation:

It is a slice, a piece-slice part of a circle the area between two radiuses and the connecting arc of a circle. The segment of a circle is the region bounded by a chord and the arc subtended by the chord. It differs from the segment because the segment is the region bounded by a chord and the arc subtended by the chord.

Answer:

-149

Step-by-step explanation:

Just plug in 47

-11+(47-1)(-3)

-11+46(-3)

-11+-138

- 149

Answer:

      = -149

Step-by-step explanation:

an= -11 + (n - 1)(-3)

The 47th term means n = 47

a47 = -11 + (47-1) (-3)

      = -11 + 46 (-3)

      = -11 -138

      = -149

Answer:

The factor of the volume of the figure increased is 64

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared and the ratio of its volumes is equal to the scale factor elevated to the cube

step 1

Find the scale factor

Let

z ----> the scale factor

z²=16

z=4 -----> scale factor

so

z³=4³=64

The factor of the volume of the figure increased is 64

Answer:

The volume of the rectangular prism will increase by a factor of 64.

Step-by-step explanation:

Surface area = [tex]length\times length[/tex]

or [tex]\sqrt{surface area} =length[/tex]

Therefore, the increase in the length of the sides will be = [tex]\sqrt{16}=4[/tex]

We know the volume is =[tex]length\times width\times height[/tex]

When there is increase in length of sides by 4 times, then volume will increase by [tex]4^{3}[/tex]

And [tex]4^{3}[/tex] = [tex]4\times4\times4=64[/tex]

Hence, the volume of the rectangular prism will increase by a factor of 64.