The fastest pizza box folder can assemble 8 pizza boxes in 21 seconds. At this rate, how long would it take to assemble 20 pizza boxes?​

Step-by-step explanation:

Since we are not given the required parameters, we can use the following parameters

Given:  

∠ A  =  5 x + 30 °

∠ B  =  2 x

Since △ABC is isosceles with AB = BC, then ∠ A  = ∠ C (the base angles of an isosceles triangle are equal)

Since sum of angle in a triangle are the same, then;

∠ A  + ∠ B + ∠ C = 180°

Substitute the given functions and get x;

5x+30 + 2x + 5x+30 = 180

12x + 60 = 180

12x = 180-60

12x = 120

x = 120/12

x = 10°

∠ A  = 5x+30

∠ A  = 5(10)+30

∠ A  = 80°

Since ∠ A  =∠ C

∠ C = 80°

For ∠ B;

∠ B = 2x

∠ B = 2(10)

∠ B = 20°

Let AB = 1, since AB = BC, BC = 1

To get AC, use the sin rule;

a/sin∠ A  = b/sin∠ B

a/sin80 = 1/sin20

asin20 = sin80

a = sin80/sin20

a = 0.9848/0.3420

a = 2.879

Hence AC ≈ 3

Note that the values of the sides and angles are assumed.

Explicação passo a passo:

A circunferência de um círculo é expressa como mostrado;

C = 2πR

R é o raio

Em termos de diâmetro;

C = πD

D é o diâmetro

a) Se o diâmetro for 10cm

Circunferência C = π (10)

C = 10 (3,14)

C = 31,4cm

b) Se o raio for 12cm

C = 2πR

C = 2π (12)

C = 24π

C = 24 (3,14)

C = 74,36cm

c) Se o diâmetro for 2cm

Circunferência C = π (2)

C = 2 (3,14)

C = 6,28cm

d) Se o raio for 5cm

C = 2πR

C = 2π (5)

C = 10π

C = 10 (3,14)

C = 31,4cm

Answer:45

Step-by-step explanation:

the factors for 90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

the factors for 135=1,3,5,9,15,45

the highest numbers that is divide both numbers is 45

Answer:

C= 17mm

Step-by-step explanation:

Answer:

3 2/3

Step-by-step explanation:

7 1/6 - 3 1/2= 3 2/3

Answer:

3x + 7 = -20

3x = -20-7

3x = -27

3x ÷ 3 = x

- 27 ÷ 3 = -9

x= -9

Answer:

5563.85 But round the nearest whole number is 5564

Step-by-step explanation:

Formule is P=Ie^(r)(t)

If, In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously,  then 5563.85 is the population in 2022.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

In 2010 the Network Club membership was 2,500.

Annual growth rate of approximately 8%

8% is converted to decimal value by dividing 8 with 100

8/100=0.08

[tex]P=Ie^{rt}[/tex]

p is the final population

I is the initial population

[tex]p=Ie^{0.08(10)}[/tex]

[tex]p=2500e^{0.8}[/tex]

p=5563.85

Hence, 5563.85 is the population in 2020.

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Answer:

The value of p(x) at -2 is:

[tex]p(-2) = -15[/tex]

Step-by-step explanation:

Given polynomials is:

[tex]p(x) = 2x^3-3x-5[/tex]

We have to find p(-2)

This means that we have to find the value of the polynomial at -2. Finding value of a polynomial at a certain number is done by putting the number in the polynomial in place of variable. So putting x = -2

[tex]p(-2) = 2(-2)^3-3(-2)-5\\= 2(-8)+6-5\\= -16+1\\=-15[/tex]

Hence,

The value of p(x) at -2 is:

[tex]p(-2) = -15[/tex]

Answer:

12/26 + 6/11 = 12+6/11 ............

Answer:

[tex]\boxed {\boxed {\sf Yes}}[/tex]

Step-by-step explanation:

According to the definition of a function, each input must have one output.

The input is x and the output is y. Basically, for every x there can only be one y.

The relation given is:

{ (1,2) , (2,4), (-3,-6), (0,0)}

To check if it's a function, make sure each x only appears once.

The x is the first number in a point.

We see that each x (1,2,-3,0) is only listed once, so this must be a function.

Another way to check is by graphing the points and using the Vertical Line Test.

If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.

The points pass the vertical line test, so this is a function.

Answer:

<2 is 115 degrees

Step-by-step explanation:

<7 and <6 are vertical angles, <6 and <3 and the same, and <3 and <2 are vertical as well

please give brainliest

Answer:

156

Step-by-step explanation:

204/7 = 12

12 x 13 = 156

Answer:

no

Step-by-step explanation:

they are not

Answer:

Step-by-step explanation:

In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.

Answer:

d

Step-by-step explanation:

so at 5 hours he  was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600

$600 is the average rate of change in profit from Hour 5 to Hour 10

A rate of change is a rate that describes how one quantity changes in relation to another quantity

The given table is

Hour                Profit

0                        $0

2.5                     $500

5                        $900

7.5                     $1200

10                        $1500

5 hours the profit is 900 and 5 hours later he is at a profit 1500

We need to subtract 900 from 1500 to find the average rate of change.

1500-900=600

Hence $600 is the average rate of change in profit from Hour 5 to Hour 10

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Step-by-step explanation:

A

y=10x

x:y=x:10x=1:10

Answer:

Step-by-step explanation:

Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle

Answer:

34

Step-by-step explanation:

103+43=146

a triangle always adds up to 180 degrees

180-146=34

so that's the workings hope the answers right

Answer:

C

Step-by-step explanation:

Both Holly and Emily have the same account balance thus it is equal to

Answer:

Dont listen to the person its actually B

Step-by-step explanation:

On a number line, smaller numbers are to the left of larger numbers.

Negative values are always less than positive values.

So, the following is true.

Holly's account balance < Emily's account balance

Answer:

First one obv false

the second one since they all times 3/4 so yes

Answer:

x = -3/4

Step-by-step explanation:

Because you have the variable x and you do not know the number of fruit snacks he ate and you need to have the same variables to properly find the answer.

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Answer:

The mass of sunflower seeds in the mixture is 1-pound

The mass of chocolate-covered peanuts in the mixture is 3-pounds

The mass of raisins in the mixture is 2-pounds

Step-by-step explanation:

The given parameters are;

The cost per pound of raisins = $3

The cost per pound of sunflower seeds = $1

The cost per pound of chocolate-covered peanuts = $1.50

The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture

The total cost of the mixture = $11.50

The mass of the mixture = 6-pounds

Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;

The mass of raisins in the mixture = 2 × x

The system of equation are;

2·x + x + y = 6...(1)

2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)

Simplifying the above two equations give;

For equation (1), we have;

3·x + y = 6...(1)

For equation (2), we have;

7·x + 1.5·y = 11.50...(2)

Making y the subject of both formulas, gives;

For equation (1), we have;

y = 6 - 3·x

For equation (2), we have;

y = 11.50/1.5 - 7/1.5·x

Equating both equations of y, to find the common solution as follows;

6 - 3·x = 11.50/1.5 - 7/1.5·x

7/1.5·x  - 3·x = 11.50/1.5 - 6

14/3·x  - 3·x = 23/3 - 6

5/3·x = 5/3

x = 3/5 × 5/3 = 1

x = 1

The mass of sunflower seeds in the mixture = x = 1-pound

y = 6 - 3·x =  6 - 3 × 1 = 3

y = 3

-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds

The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.

Answer:

3.14

Step-by-step explanation:

Answer:

40 years

Step-by-step explanation:

Hulian and Thomas together is 65 years

let us suppose hulian is X

now, so Thomas is x+15

so x+x+15=65

so 2x = 65-15

2x=50

x=25

Hulian is 25

and Thomas is 25+15=40

Answer:

Thomas's age: 40

Step-by-step explanation:

We have:

Thomas's age - Huilan's age = 15 (1)

Thomas's age + Huilan's age = 65 (2)

Add 1 and 2 we have :

2T = 65+15

<=>2T = 80

[tex]<=>T=\frac{80}{2} =40[/tex]

So Thomas's age is 40.

P/s: T is Thomas's age

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

The equation which is parallel to the line JK is

a) Parallel is 5x + 3y = 13

b) Perpendicular is 6x - 10y = 7

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be J ( -5 , 5 )

Let the second point be K ( 1 , -5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )

m = 10 / -6

m = -5/3

The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope

So , the equation of line parallel to JK is 5x + 3y = 13

And , the equation of line perpendicular to line JK is 6x - 10y = 7

Hence , the equation of line is solved

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Answer:

A.  the number of textbooks in a classroom

Step-by-step explanation:

quantitative data  is information about quantities; that is, information that can be measured and written down with numbers.

Answer:

For the first one wouldnt it be like:

ht=10(r)+5

Step-by-step explanation:

Answer:

4 ft per second

Step-by-step explanation:

We are given that it takes 50 seconds to go 200 feet

in order to find the ft/second, we divide by 50

50/50=1

200/50=4

so 4 ft/ 1 second

Answer:

Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do

Step-by-step explanation: what app and ok

[tex]\textsf{122 - 2(20)} \\ \mathsf{2(20) = 40} \\ \mathsf{122 - 40 = answer} \\ \uparrow \mathsf{solve \: above \: and \: you \: have \: your \: answer} \\ \mathsf{122 - 40 = \bf82} \\ \\ \boxed{ \mathsf{your \: answer: \boxed{ \bf 82}}} \checkmark[/tex]

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[tex] \dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]