5. Given two circles, A and B, with radii 9 in. and 10 in. respectively,
the ratio of the areas is

Answer:

[tex]Pr = 0.20[/tex]

Step-by-step explanation:

Given

[tex]n_1 = 10[/tex] ---- 10 sided

[tex]n_2 = 6[/tex] --- 6 sided

Required

[tex]P(x_1,x_2 > 4)[/tex]

First, list out the sample space

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)[/tex]

[tex](7, 1) (7, 2) (7, 3) (7, 4) (7, 5) (7, 6) (8, 1) (8, 2) (8, 3) (8, 4) (8, 5) (8, 6)[/tex]

[tex](9, 1) (9, 2) (9, 3) (9, 4) (9, 5) (9, 6) (10, 1) (10, 2) (10, 3) (10, 4) (10, 5) (10, 6)\}[/tex]

[tex]n(S) = 60[/tex] --- total outcomes

The event that the outcome of both is greater than 4 is:

[tex]x_1,x_2> 4 = \{(5, 5) (5, 6)(6, 5) (6, 6)(7, 5) (7, 6) (8, 5) (8, 6)(9, 5) (9, 6) (10, 5) (10, 6)\}[/tex]

[tex]n(x_1,x_2>4) = 12[/tex]

So, the probability is:

[tex]Pr = \frac{n(x_1,x_2>4)}{n(S)}[/tex]

[tex]Pr = \frac{12}{60}[/tex]

[tex]Pr = 0.20[/tex]

Answer:an =n-1d

a+1d

a-2d

so that 29 is the sequence

Step-by-step explanation:

Answer:

11/3

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 33 on the left side and the dividend 9 on the right side like this:

 3 3 ⟌ 9    

Step 2:

The divisor (33) goes into the first digit of the dividend (9), 0 time(s). Therefore, put 0 on top:

       0    

 3 3 ⟌ 9    

Step 3:

Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer below the dividend.

       0    

 3 3 ⟌ 9    

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 0 = 9) and write the answer below.

       0    

 3 3 ⟌ 9    

     - 0    

       9    

You are done.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 9 divided by 33 calculated using Long Division is:

0

9 Remainder

Answer:

a=3w−y

Step-by-step explanation:

Step 1: Flip the equation.

−a+3w=y

Step 2: Add -3w to both sides.

−a+3w+−3w=y+−3w

−a=−3w+y

Step 3: Divide both sides by -1.

(-a)/1=-(3w+y)/1

a=3w−y

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

Step-by-step explanation:

The given function is :

[tex]f(x)=x^2-5x+ 5[/tex]

(a) To find f(9), put x = 9 in the above expression.

[tex]f(9)=9^2-5(9)+ 5=41[/tex]

(b) To find f(x+7), put x = x+7 in the above expression.

[tex]f(x+7)=(x+7)^2-5(x+7)+ 5\\\\=x^2+14x+49-5x-35+5\\\\=x^2+9x+19[/tex]

(c) To find f(-x), put x = -x in the above expression.

[tex]f(-x)=(-x)^2-5(-x)+ 5\\\\=x^2+5x+5[/tex]

Hence, this is the required solution.

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:

B

Step-by-step explanation:

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:

201.06

Step-by-step explanation:

93% sure lol

Answer:

dois sextos

Step-by-step explanation:

Answer:

Two over six.

Step-by-step explanation:

It can be two over six, and when simplified, 2/6 can be 1/3, which is one-thirds.

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:

10.

Step-by-step explanation:

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

You will get 10 songs and have 10 cents left.

Answer:

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

Hope that this helps!

Answer:

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

The Last two questions are statistical questions.

Hope the helps!

Answer:

h = 4.2

Step-by-step explanation:

The large triangle beginning on the left  has a height of 9. The small triangle has an unknown height of h almost in the middle of the of the base.

You can set up a proportion

9/h = 15/7                 Cross multiply

15h = 9*7                  Combine the right

15h = 63                   Divide both sides by 15

15h/15 = 63/15

h = 4.2      

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:

[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:

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:

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]1.5\; \rm s[/tex].

Step-by-step explanation:

The person in this question is in the air whenever the height is greater than [tex]0[/tex].

The graph of [tex]y = -16\, t^{2} + 24\, t[/tex] is a parabola opening downwards. Rearrange and find values of [tex]t[/tex] that would set this expression to [tex]0[/tex].

[tex]\begin{aligned}y &= -16\, t^2 + 24\, t \\ &= t\, (-16\, t + 24) = -8\, t\, (2\, t - 3)\end{aligned}[/tex].

The first factor, [tex]t[/tex], suggests that [tex]t = 0[/tex] would set this expression to [tex]0[/tex]- quite expected, since the person is on the ground right before jumping.

The second factor, [tex](2\, t - 3)[/tex], suggests that [tex]2\, t = 3[/tex] (in other words, [tex]t = 3/2 = 1.5[/tex]) would also set this expression to [tex]0[/tex]. Hence, this person would be once again on the ground [tex]1.5[/tex] seconds after jumping.

Hence, this person is in the air between [tex]t = 0[/tex] and [tex]t= 1.5[/tex] for a total of [tex]1.5\; \rm s[/tex].

Answer:

See below.

Step-by-step explanation:

a.

We need degrees C as a function of degrees F.

Just like when we have y as a function of x, we have (x, y) ordered pairs, here we will have (F, C) ordered pairs.

We are given two ordered pairs: (32, 0) and (212, 100).

We can find the slope of the line.

m = (100 - 0)/(212 - 32) = 100/180 = 5/9

y = mx + b

C = mF + b

C = (5/9)F + b

Use point (32, 0) for F and C to solve for b.

0 = (5/9)(32) + b

b = -(5/9)(32)

C = (5/9)F - 5/9(32)

C = (5/9)F - 160/9

b.

The slope is 5/9. The slope is the rate of change of degrees F to degrees C. For each change of 9 degrees F, the corresponding change in degrees C is 5.

c.

The y-intercept is -160/9.

It means that a temperature of 0 degrees F equals -160/9 degrees C.

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:

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,

brainly.com/question/7869125

#SPJ2

Answer:

1x

Step-by-step explanation:

the slope goes up one a positive slope of 1

Answer:

[tex]g(x) = -|x+3|-1[/tex]

Step-by-step explanation:

1. horizontal reflection - reflection on x-axis: [tex]g(x) = - f(x)[/tex]

        [tex]g(x) = -|x|[/tex]

2. shift left 3: [tex]g(x) = f(x+h)[/tex]

       [tex]g(x) = -|x+3|[/tex]

3. shift down 1: [tex]g(x) = f(x) - k[/tex]

      [tex]g(x) = -|x+3|-1[/tex]

Answer:

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

Answer:

Step-by-step explanation:

a)    is  SAS   (side , angle, side)

b)  is  SSA ( side , side angle)   and also :P  recognize you can't say   (Angle Side, Side )  or the teacher will send you to the office for cussing :P