What is the coordinates of the missing vertex?

Answer:

x = 16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+2) *2 = 6^2

2(x+2) = 36

Divide by 2

x+2 = 18

Subtract 2

x = 18-2

x = 16

Answer:

x = 16

Step-by-step explanation:

6^2 = 2(2+x) (Tangent Secant Product)

36 = 4 + 2x

32 = 2x

x = 16

Answer:

[tex]l =45[/tex] --- length

[tex]w = 55[/tex] --- width

Step-by-step explanation:

Given

[tex]P = 200[/tex] --- perimeter

[tex]A = 2475[/tex] --- area

Required

The dimension of the farm

Let

[tex]l \to length; w \to width[/tex]

So:

[tex]p = 2(l+w)[/tex] --- perimeter

[tex]2(l+w)=200[/tex]

Divide by 2

[tex]l+w=100[/tex]

Make l the subject

[tex]l = 100 - w[/tex]

Also:

[tex]A= l*w[/tex] --- area

[tex]l * w = 2475[/tex]

Substitute: [tex]l = 100 - w[/tex]

[tex](100 - w) * w = 2475[/tex]

Open bracket

[tex]100w - w^2 = 2475[/tex]

Rewrite as:

[tex]w^2 - 100w +2475 = 0[/tex]

[tex]w^2 - 45w - 55w +2475 = 0[/tex]

Factorize

[tex]w(w - 45) - 55(w -45) = 0[/tex]

Factor out w - 45

[tex](w - 55)(w -45) = 0[/tex]

Take any one of the expression and solve for w

[tex]w -55 = 0[/tex]

[tex]w = 55[/tex]

Recall that: [tex]l = 100 - w[/tex]

[tex]l =100 - 55[/tex]

[tex]l =45[/tex]

Answer:

53/100

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

8 / 15 = 0.533

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 533

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:

0.53

Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.53 = 0.53/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.53 x 100) / (1 x 100) = 53/100

That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):

53/100

Answer:

53.33% is the correct answer

Answer:

Step-by-step explanation:

The zero of a function is also known as the x-intercept of a function. The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:

4x - 20 = 0     and     -1/2x + k = 0 and then solve each for x:

4x = 20 so

x = 5 and

-1/2x = -k and

1/2x = k so

x = 2k. Now we set the 2 x expressions equal to each other and solve for k:

5 = 2k so

k = 5/2

The value of the K in the given equation is 5/2.

The zero of a function is also known as the x-intercept of a function.

The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:

4x - 20 = 0     and  

-1/2x + k = 0 and then solve each for x:

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

4x = 20 so

x = 5 and

-1/2x = -k and

1/2x = k so

x = 2k. Now we set the 2 x expressions equal to each other and solve for k

5 = 2k so

k = 5/2

Therefore the value of the K in the given equation is 5/2.

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Answer:

7. x = 6

8. x = 15/4

9. x = -7

Answer:

Hello there user, looks like your looking for help!

The correct answers should be:

7. x = 6

8. x = 3 3/4

9. x = -7

Step-by-step explanation:

3/2 = x/4

6/4 = x/4

x = 6

x/3 = 1 1/4

4x/12 = 15/12

x = 15/4

x = 3 3/4

(x + 1)/3 = (x-1)/4

(4x + 4)/12 = (3x-3)/12

x/12 =  -7/12

x = -7

Step-by-step explanation:

When Delta(b^2-4ac) is greater than 0, the quadratic equation has two distinct  real solutions, when it is equal to 0, the quadratic equation has one real solution, when it is negative, it has no real solutions.

Answer:

A statistical question is one that requires collection of DATA that vary.

The Last two questions are statistical questions.

Hope the helps!

Answer:

7√2

Step-by-step explanation:

From the diagram given;

Hypotenuse = x

Opposite = 7

Angle = 45 degrees

According to SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 45 = 7/x

x = 7/sin45

x = 7/1/√2

x = 7 * √2/1

x = 7√2

Hence the value of x is 7√2

Answer:

Step-by-step explanation:

There’s a total of 10+16+20+18 = 64 candies.

There’s 10 red candies.

10 / 64 = 0.15625

Rounded: 0.2

Answer:

first create an equation for Jeb flower then for Lori

then solve them by simultaneous linear equations

Answer:

One rose = $2.75

One carnations = $1.25

Step-by-step explanation:

Lets make the rose = x

and carnations = y

Jeb >> 6x + 3y = 20.25

Lori >> 8x + 3y = 25.75

Solve simultaneously using elimination method.

8x + 3y = 25.75

- 6x + 3y = 20.25

_______________

2x =5.5

2x/2 = 5.5/2

x = 2.75

plug 2.75(x) into any of the two equations to find y.

6(2.75) + 3y = 20.25

16.5 + 3y = 20.25

3y = 20.25 - 16.5

3y = 3.75

3y/3 = 3.75/3

y = 1.25

Answer:

The median are equal

Step-by-step explanation:

Given

I will answer this question with the attached plot (see attachment 2)

Required

The equal statistical measures

See attachment 1 on how to read a box plot

Using attachment 1 as a guide, we have the following observation

Movie 2                                                   Movie 1

[tex]Minimum=7.5[/tex]                                      [tex]Minimum=10[/tex]

[tex]Q_1 = 22.5[/tex]                                                 [tex]Q_1 = 15[/tex]

                                  [tex]Median = 30[/tex]

[tex]Q_3 = 35[/tex]                                                   [tex]Q_3 = 40[/tex]

[tex]Maximum = 47.5[/tex]                                    [tex]Maximum = 52.5[/tex]

By comparison, they have equal median (30)

Answer:

[tex]area = 4\pi {r}^{2} \\ = 4 \times 3.14 \times {7.5}^{2} \\ = 706.86 \: {cm}^{2} [/tex]

Answer:

WX = 66°

Step-by-step explanation:

The inscribed angle WXY is half the measure of its intercepted arc, then

arc WY = 2 × 57° = 114°

XY is a diameter of the circle, so

arc XY = 180°

Thus

arc WX = 360° - (180 + 114)° = 360° - 294° = 66°

Answer:

10.

Step-by-step explanation:

[tex]1.19X10=11.90.[/tex]

You will get 10 songs and have 10 cents left.

2. B 60 meters

3. C. 10yd

Refer to the attachment for complete calculation

Answer:

Number of messages Salma sent = 7

Number of messages Brian sent = 16

Number of messages Chang sent = 32

Step-by-step explanation:

Let

Number of messages Salma sent = n

Number of messages Brian sent = n + 9

Number of messages Chang sent = 2(n + 9)

Total messages sent = 55

n + (n + 9) + 2(n + 9) = 55

n + n + 9 + 2n + 18 = 55

4n + 27 = 55

4n = 55 - 27

4n = 28

n = 28/4

n = 7

Number of messages Salma sent = n = 7 messages

Number of messages Brian sent = n + 9 = n + 9 = 16 messages

Number of messages Chang sent = 2(n + 9)

= 2(7 + 9)

= 2(16)

= 32 messages

Answer:

0≤y10

Step-by-step explanation:

Given the expresssion;

y = 10 - 0.05x

To get the range, we will first substitute for the value of y by substituting the value x =0

y = 10 - 0.05(0)

y = 10

Hence the required range of values falls between 0 and 10;

0≤y10

Answer:an =n-1d

a+1d

a-2d

so that 29 is the sequence

Step-by-step explanation:

Answer:

4th option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{5}[/tex] x - 6 ← is in slope- intercept form

with slope m = [tex]\frac{3}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{5} }[/tex] = - [tex]\frac{5}{3}[/tex]

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - [tex]\frac{5}{3}[/tex] and (a, b ) = (- 2, 5 ) , then

y - 5 = - [tex]\frac{5}{3}[/tex] (x - (- 2) ) , that is

y - 5 = - [tex]\frac{5}{3}[/tex] (x + 2)

Answer:

84.74 L

Step-by-step explanation:

22.3*3.8

estimate 22 gal *4 L/gal = 88L

so 84.74

To calculate,

22.3*3.8 = 84.74

Answer:

I hoped this helped!

Step-by-step explanation:

Answer:

See attached image.

Step-by-step explanation:

You can either use a graphing calculator or make a table to find values for yourself.

X | 0 | 3

Y | -2 | -3

and so forth.

Answer:

1x

Step-by-step explanation:

the slope goes up one a positive slope of 1

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION} }: [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START : }}[/tex]

[tex] \boxed{ \large{ \tt{SURFACE\: AREA \: OF \: CYLINDER = 2\pi \: r \: (r + h)}}}[/tex]

- Plug the known values and simplify :

[tex] \large{ \tt{⇢2 \times \frac{22}{7} \times 10(10 + 20)}}[/tex]

[tex] \large{ \tt{⇢ \: 2 \times \frac{22}{7} \times 10 \times 30 }}[/tex]

[tex]⇢ \boxed{\large{ \bold{\tt{1885.71 \: \text {units}^{2} }}}}[/tex]

[tex] \tt{✺ \: THE \: BEST \: REVENGE \: IS \: MASSIVE \: \bold{ \tt{SUCCESS} !\: ♪}}[/tex]

♕ Hope I helped! ♡

☼Have a wonderful day / evening! ☃

# StayInAndExplore! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{10 \: units}}\put(9,17.5){\sf{20 \: units}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the cylinder is 10 units. The height of the cylinder is 20 units. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(10 \: units)^2 + (2)(3.14)(10 \: units)(20\:units) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(100 \: units^2) + (2)(3.14)(200\:units^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(314 \: units^2) + (2)(628 \: units^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 628 \: units^2 + 1256 \: units^2 [/tex]

[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 1884 \: units^2}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the surface area of the cylinder at https://brainly.com/question/30914875

Have a great day! <33

Answer:

2−12+27

Step-by-step explanation:

(−3)(−9)

x(x-9) -3(x-9)

x2 (square lol) - 9x -3 (x-9)

x2-9x-3x+27

x2-12x+27

solution:

2−12+27 answer.

Answer:

Step-by-step explanation:

(x-3)(x-9)

x(x-9)-3(x-9)

x^2-9x-3x+27(add like terms)

x^2-12x+27

Answer:

If you are asking for what x is equal too, then x = 8.70968...

Hope that this helps!

Answer:

104 miles (nearest whole number)

Step-by-step explanation:

Applying Pythagorean theorem which is: c² = a² + b². Where,

c = distance between the two planes = ?

a = distance of the first plane from the airport = 80 - 1 = 79 miles

b = distance of the second plane from the airport = 68 - 1 = 67 miles

c² = 79² + 67²

c² = 10,730

c = √10,730

c = 103.585713

c = 104 miles (nearest whole number)

Answer:

201.06

Step-by-step explanation:

93% sure lol

Answer:

The answer woupd be B, 1, 0

The dairy is at x = 1 unit and;y = 0 unit thus the coordinate of dairy in the floor plan is at (1,0) thus option (B) will be correct.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

As per the given floor plan,

Th coordinate of dairy is the horizontal and vertical distinctions from the reference axes(0,0).

Since it is 1 unit apart in the x and 0 apart in the y direction.

Thus (1,0) is the right coordinate.

Hence "The dairy is at x = 1 unit and;y = 0 unit thus the coordinate of dairy in the floor plan is at (1,0)".

For more about coordinates,

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