Mary's bicycle tire has a radius of 40 cm. How far has Mary travelled if her tire has made 50 complete rotations?​

Answer:

+ 5 = length 2x + 2(x + 5) = 38

Answer:

The radius is 6

Step-by-step explanation:

Arc length ACB = 6 pi

The arc length = fraction of a circle times the circumference

6 pi = 180/360 * 2 * pi *r

6 pi = 1/2 * 2 * pi*r

6 pi =  pi r

The radius is 6

6,0000 + 2,000 + 700 + 10 + 9

Answer:

D. y= -2x+16

Step-by-step explanation:

the slope = -1÷½ = -2

the equation :

y-0= -2(x-8)

y = -2x+16

Answer:

x = ±√3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x² - 8 + 16 = 11

Step 2: Solve for x

Answer:

50 boys

Step-by-step explanation:

The number of groups = 24

The average number of children = 16

The new average number of children when one group is added = 18

The ratio of boys to girls in the group that just joined = 5:6

The initial number of boys = 220

Let the initial number of children

The initial total number of children = 24 × 16 = 384

The initial number of girls = 384 - 220 = 164

The final number of children = 25 × 18 = 450

The number of children in the group that joined in the game = 450 - 384 = 66

The ratio of boys to girls in the group = 5:6

Therefore, we get;

The number of boys = 66 × 5/11 = 30

The number of girls = 66 - 30 = 36

The number of boys at the end = 220 + 30 = 250

The number of girls at the end = 164 + 36 = 200

The number of more boys than girls at the end = 250 - 200 = 50

The number of more boys than girls at the end = 50 boys

Answer:

[tex]1\frac{6}{9}[/tex]

Step-by-step explanation:

[tex]\frac{8}{9}+\frac{7}{9}[/tex]

[tex]\frac{8+7}{9}=\frac{15}{9}=1\frac{6}{9}[/tex]

Answer:

40*52*11*4 = $91,520

But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.

Step-by-step explanation:

Answer: $385440 if you work non stop, for every hour of those 4 years

Step-by-step explanation: 24 hours in a day, 24*365=8760

8760*4=35040 total hours.

Now if we multiply that by 11, because you get 11 dollars an hour,

35040*11= $385440 in total

But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.

Step-by-step is this the answer you wanted thanks for correcting me

Answer:

Step-by-step explanation:

[tex]y = \frac{2}{3}x - 4\\\\when \ y = 0, \ x = \frac{4 \times 3}{2} = 6\\\\When \ x = 0 , \ y = - 4[/tex]

Answer:

B

median

hope its help you

Answer: B. Median

Step-by-step explanation:

its the middle line.

Answer:

∠ C = ∠BCD = 30°

Step-by-step explanation:

∠ EDF = ∠GFC  = 110°                [ corresponding angles ]

Now consider triangle BCF

∠FBC  + ∠ABC = 180°                [ straight line angle ]

∠FBC  + 100° = 180°

∠FBC  = 180 - 100 = 80°

∠BFC + ∠GFC = 180°                  [ straight line angle ]

∠BFC + 110° = 180°

∠BFC = 180 - 110 = 70°

Sum of angles of triangle is 180°

Therefore , in triangle BCF

That is ,

       ∠F + ∠B + ∠ C  = 180°

          70° + 80° + ∠C = 180°

           ∠C = 180 - 150 = 30°            

Answer:

Ax+By=C

Step-by-step explanation:

basically the standard form of any linear equation, y=mx+b. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y-intercept (where x is 0 on the line).

Answer: Choice C

Yes, holidays are a subset and proper subset of the calendar year.

=========================================================

Explanation:

The set of days in the calendar year spans from Jan 1st to Dec 31st.

The set of holidays is a small subset of the previous set mentioned. Any holiday is found on the calendar, but not every day on the calendar is a holiday.

------------

Here's another example of a subset

A = set of all animals

B = set of dogs

Set B is a subset of set A because any dog is an animal. In other words, any individual in set B is also in set A, but not the other way around.

------------

Going back to the calendar example, the set of holidays is a subset and it's also a proper subset of all the days in the year. We say that set B is a proper subset of set A if B has less items in it compared to A.

If we had these two sets

A = {1,2,3,4,5,6}

B = {1,2,3}

We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A. The only time we have a subset and not a proper subset is when we talk about the set itself. Any set is a subset of itself (not a proper subset of itself).

The True statement is

Yes, holidays are a subset and proper subset of the calendar year.

Sets are represented as a collection of well-defined objects or elements that are consistent from one person to the next. A capital letter represents a set. The cardinal number of a set is the number of items in a finite set.

The order of a set determines the number of elements in the set. It refers to the size of a set. The order of the set is often referred to as the cardinality.

The set of days in the calendar year spans from Jan 1st to Dec 31st.

The set of holidays is a subset of the previously described set. Any holiday can be found on the calendar, however not every day is a holiday.

let Set B is a Proper subset of set A if it contains fewer elements than A.

So, A = {1,2,3,4,5,6}

B = {1,2,3}

We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A.

So, holidays are a subset and proper subset of the calendar year.

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Responder:

4.400.000

Explicação passo a passo:

A quantidade total de ingressos vendidos = 7,9 milhões = 7.900.000

Desse total, o valor vendido ao espectador estrangeiro = 3,5 milhões, = 3,5 milhões

O valor dos ingressos vendidos ao espectador brasileiro será a diferença entre o valor total do ingresso vendido e o total vendido ao espectador estrangeiro.

7.900.000 - 3.500.000 = 4.400.000

Answer:

a) 2, -1

Step-by-step explanation:

3x + 2y = 4

2y = 4 - 3x

y = 2 - 3x/2

2x - 3y = 7

2x - 3×(2 - 3x/2) = 7

2x - 6 + 9x/2 = 7

4x/2 + 9x/2 = 13

13x/2 = 13

13x = 26

x = 2

3×2 + 2y = 4

6 + 2y = 4

3 + y = 2

y = -1

Answer:

5.2 degrees the mountain slope forms with the ground at sea level

The angle that the mountain slope forms with the ground at sea level is 20.64°

"The distance covered by an object in unit time."

"The longest side of a right triangle."

"In a right triangle for angle θ ,

sin(θ) = opposite side / hypotenuse "

For given example,

Consider the following figure for given example.

Sam starts skiing at the peak 97 yards above sea level.

⇒ XY = 97 yards

He skis down the mountain at a rate of 1.5 yards per second.

⇒ speed = 1.5 yards per second

It takes him 3 minutes to reach flat ground at sea level.

⇒ t = 3 minutes

⇒ t = 180 seconds

XZ is the distance between peak of a mountain and the ground.

Using speed formula,

⇒ speed = XZ / times

⇒ 1.5 = XZ / 180

⇒ XZ = 1.5 × 180

⇒ XZ = 270 yards

This means the hypotenuse of right triangle XYZ is 270 yards.

Now, we need to find the angle that the mountain slope forms with the ground at sea level.

[tex]\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}[/tex]

Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°

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Answer:

SA = 112π cm²

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

Step-by-step explanation:

Step 1: Define

Identify

r = 4 cm

h = 10 cm

Step 2: Find Surface Area

Answer:

B. perpendicular Hope this helps!

Answer:

The equation of the circle is

Formula :

(x- h ) ² + (y-k )² = r²

or, x²-20x +100 + y² -8y + 16 = 16

or, x² + y² -20x -8y + 100 = 0 is the required equation

Answer:

my answer in this picture.......

Answer:

[tex](q,p)=(1.948,4.156)[/tex]

Step-by-step explanation:

Given

[tex]p^2 - \frac{1}{3}q-4p=0[/tex] --- demand curve

[tex]2q + 8p -4p^3=2p^2[/tex] ------ supply curve

Required

The equilibrium point

To do this, we make use of the graphical method (see attachment for the demand and supply curve)

The points of intersection of both curves on the attached plot are:

[tex](q_1,p_1)=(1.948,4.156)[/tex]

[tex](q_2,p_2)=(0,0)[/tex]

[tex](q_3,p_3)=(-0.8766,0.0744)[/tex]

[tex](q_3,p_3)=(0.3802,-0.0314)[/tex]

Of the 4 points, only the points where [tex]p,q>0[/tex] can be selected as equilibrium points

The only point that satisfies this condition is:

[tex](q_1,p_1)=(1.948,4.156)[/tex]

Hence, the equilibrium points of the airline is: [tex](q,p)=(1.948,4.156)[/tex]

Answer:

4.  3 units

5. Triangle  

6.  (0,2)

Step-by-step explanation:

4. The distance between the x axis and the point (8,3) is 3 units

5. Triangle  will be formed if the points A(-3, 0), B (0,3) and C (3,0) are joined together

6. Since the point lie on the y-axis, its x co-ordinate will be zero and the point will be (0,2)

3p²q - 6 pq²

3pq (p - 2q )

I think this is the solution

The group that best represents a sample of the population is one thousand of their customers with a current smart phone data plan.

A sample is a smaller representative group of the population. A sample is used as it might not be feasible or cost effective to access the whole population.

The appropraite sample should be representative of the whole population of customers.

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The group that would best represent a sample of the population is given by: Option C: one thousand of their customers with a current smart phone data plan.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

We've to collect sample in such a way that we can get a widespread view of the population (all customers). We want to do sampling for getting the average amount of data that their smart phone customers use each month.

Option A, B and D are choosing those customers, which are like a special part of the customers, and not an overall coverage of the customer the cell phone company has.

But option C covers assumingly all sorts of customers who use internet data.

Thus, the group that would best represent a sample of the  is given by: Option C: one thousand of their customers with a current smart phone data plan

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Answer:

a little bit of a function of the cabinet and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and

Answer:

[tex]{ \tt{ - \frac{10}{10}}} , \: { \tt{ - \frac{11}{10} }}, \: { \tt{ - \frac{12}{10} }}, \: { \tt{ - \frac{13}{10} }}......{ \tt{ - \frac{20}{10} }}[/tex]

Given:

The lengths of legs of a right triangle are [tex]12a^5[/tex] and [tex]9a^5[/tex].

To find:

The perimeter of a right triangle.

Solution:

In a right angle triangle,

[tex]Hypotenuse=\sqrt{Leg_1^2+Leg_2^2}[/tex]

[tex]Hypotenuse=\sqrt{(12a^5)^2+(9a^5)^2}[/tex]

[tex]Hypotenuse=\sqrt{144a^{10}+81a^{10}}[/tex]

[tex]Hypotenuse=\sqrt{225a^{10}}[/tex]

On further simplification, we get

[tex]Hypotenuse=\sqrt{(15a^{5})^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Now, the perimeter of the triangle is the sum of all of its sides.

[tex]Perimeter=Leg_1+Leg_2+Hypotenuse[/tex]

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]

Therefore, the perimeter of the right triangle is [tex]36a^5[/tex].

Answer:

bce is 90

Step-by-step explanation:

Answer:

4x² -4xy -4y -4

Step-by-step explanation:

[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

In this case, a= 2x -y and b= y +2.

(2x -y)² -(y +2)²

= (2x -y +y +2)[2x -y -(y +2)]

= (2x +2)(2x -y -y -2)

= (2x +2)(2x -2y -2)

= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)

= 4x² -4xy -4x +4x -4y -4

= 4x² -4xy -4y -4

Alternatively, start by expanding the brackets.

[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]

[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]

(2x -y)² -(y +2)²

= 4x² -4xy +y² -(y² +4y +4)

= 4x² -4xy +y² -y² -4y -4 (expand)

= 4x² -4xy -4y -4 (simplify)

Answer:

140°

Step-by-step explanation:

a° = 180°-(75°-35°) = 180°-40° = 140°