Mohammed built a building that can carry up to 5 tons. If each person weighs about 150 pounds, how many people can fit onto the building that Mohammed built?

The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

The trigonometry identity is given as:

tan(2x)

When the tangent formula is applied, we have:

[tex]\tan(2x) = \frac{\sin(2x)}{\cos(2x)}[/tex] --- step 4

Expand sin(2x) and cos(2x)

[tex]\tan(2x) = \frac{2\sin(x)\cos(x)}{\cos^(x) - \sin^2(x)}[/tex] --- step 3

The option from the list that obey the above order is (a) 4, 3, 5, 1, 2

Hence, the correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

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Answer:

A). 4,3,5,1,2

Step-by-step explanation: on edge

Answer:

A

Step-by-step explanation:

If you can draw a vertical line through more than one point on the curve, then it's not a function. In this case, we can draw such a line. The graph is said to have failed the vertical line test.

What this means is that some x inputs lead to more than one y outputs. A function is only possible if any x input leads to exactly one y output. The x input must be in the domain.

Answer:

It is not a function.

Step-by-step explanation:

A relation's inputs are not repeated in a function.

Since the graph fails the vertical line test, it is not a function.

See picture.

Hope this helps.

Answer:

The revenue depends on the number of people n that purchases tickets, knowing that each ticket costs $30.00, the total revenue will be:

f(n) = $30.00*n

Now, we also know that the stadium is capable of seating a maximum of m fans, so the maximum possible value for n is m.

Now, for the function f(n), we have that:

The domain is the set of the possible values of n

The range is the set of the possible values of f(n).

We want to find the domain.

First, the minimum possible value of n is 0, the case where nobody purchases a ticket.

The maximum possible value of n is m, this is the case where the stadium is full.

Then the domain will be:

D= {n,m ∈ Z, 0 ≤ n ≤ m}

Where we imposed that n must be an integer number because n represents a whole quantity.

The domain of the function should be [tex]0\leq n\leq m[/tex] where n and m are integers because they represent the number of people.

Given information:

A football stadium is capable of seating a maximum of m fans.

People attending the game are n.

The cost of each ticket is $30.

The  amount of money that the stadium brings in as revenue is a function of the number of  people, n.

So, the money will be calculated based on the attendance of people which implies that n will be the independent variable of the function.

So, the revenue generated can be written as,

[tex]f(x)=30n[/tex]

Here, the value of n represents the domain of the function.

Now, the maximum number of people allowed in the stadium is m as there are only m seats.

Therefore, the domain of the function should be [tex]0\leq n\leq m[/tex] where n and m are integers because they represent the number of people.

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Answer:  86 degrees

Explanation:

Angle TSU is formed when we bisect angle RSU. Recall that bisect means to cut in half. So TSU is half of RSU. Put another way, RSU is twice that of TSU.

angle RSU = 2*(angle TSU)

angle RSU = 2*43

angle RSU = 86

Answer:

[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define equation

6x² - 13x + 6 = 2x²

Step 2: Rewrite in Standard Form

Step 3: Define

a = 4

b = -13

c = 6

Step 4: Solve for x/roots

And we have our final answer!

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

list the side lengths of the triangle in order from longest to shortest

from the given triangle.

       ∠A = 180 - 65 - 30

      ∠A = 85

angle side relationship theorem:

In a triangle, the side opposite the larger angle is the longer side

Answer:

16 the answer

Step-by-step explanation:

Answer:

its b or d

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

the answer is d. x >=4

Answer:

RD = 162 cm

Step-by-step explanation:

LD = 2 RL = 2* 54 = 108

RD = RL + LD

RD = 54 + 108

RD = 162 cm

The length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Point L is a centroid of the triangle FWD, If RL = 54 cm

From the centroid definition:

LD = 2RL

LD = 2×54 = 108 cm

RD = RL + LD

RD = 54 + 108

RD = 162 cm

Thus, the length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.

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Answer:

1. is the answer

Step-by-step explanation:

The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

The number of batch recipe calls for 1 / 2 lb of flour = 1 batch

And to calculate the number of batches , we use

The number of batch recipe calls for 1 lb of flour will be

1 / 2 lb of flours = 1 batch

Multiplying by 2 on both sides , we find the number of batches for 1 lb of flour

Therefore , 1 / 2 x 2 = 1 x 2

1 lb of flour = 2 batches

3 / 4 lb of flour is 1 x 3 / 4 = 2 x 3 / 4

                                          = 3 / 2 batches

                                          = 1.5 batches

1 / 4 lb of flour is 1 x 1 / 4 = 2 x 1 / 4

                                        = 1 / 2 batches

                                        = 0.5 batch

Hence ,  The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively

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Given :   A graph with points (1, 3), (2, 7), (3, 8), (4, 11), (5, 12), (6, 13).

To find :  From Which two points the line of best fit goes through

Solution:

(3, 8) &  (5, 12) will be two points

as then line  points will be

( 1 ,  4 ) , ( 2, 6) , ( 3 , 8 ) , ( 4, 10) , (5 . 12)  & ( 6 , 14)

(1, 3)   will be below ( 1 ,  4 )

(2 , 7) will be above ( 2 , 6)

( 3 , 8 ) will be on line

(4 , 11 ) will be above ( 4 , 10)

( 5 , 12  ) will be on line

( 6 , 13)  will be below ( 6 ,  14 )

(1, 3)  & ( 6 , 13)  two points are below line

(2 , 7) & (4 , 11 )  two points above line

Hence points are Equally scattered above  & below line

Hence (3, 8) &  (5, 12) will be two points on   line of best fit

Hope it helpss !!

The two points which  the line of best fit go through to best represent the data in the scatter plot is Option A.

The points which satisfies the line is  A ( 2 , 7 ) and   B ( 1 , 3 )

What is an Equation of a line?

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 be A

Let the two points be A and B

where the point A is A ( x₁ , y₁ ) = A ( 2 , 7 )

The point B ( x₂ , y₂ ) = B ( 1 , 3 )

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

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

Substituting the values in the equation , we get

m = ( 7 - 3 ) / 2 - 1 )

m = 4

The equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 7 = 4 ( x - 2 )

y - 7 = 4x - 8

y = 4x - 1

The equation of line is y = 4x - 1

So , the points which satisfies the line is  A ( 2 , 7 ) and   B ( 1 , 3 )

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Answer: kim made $6,900 in commission for selling the house

Step-by-step explanation:i took the test

Answer:

4x+24 ft.

Step-by-step explanation:

Perimeter of first rectangular playpen mentioned: 2(6+x-4), which can be simplified to 2(x+2) = 2x + 4.

Perimeter of second playpen mentioned: 2(8+x+2), which can be simplified to 2(x+10) = 2x+20.

Add these two together: 2x+4 + 2x+20 = 4x+24. Don't forget to add units: 4x+24 ft.

Answer:

9%

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  

100. Hope this helps!

Answer:

60/4 if i get right can i please get brainliest?

Answer:

60 miles/ 4 gallons

Step-by-step explanation:

60 divided by 4 is 15

Answer:

d) all real numbers

Step-by-step explanation:

Answer:

D. all real numbers

Step-by-step explanation:

4(x + 3) - 7 >= x + 3(x + 1)

4x + 12 - 7 >= x + 3x + 3

4x + 5 >= 4x + 3

5 >= 3 which is correct

so the solution are all real numbers.

I hope this helps you :)

Answer:

okaaaay. this is 10 units to the y axis...

Step-by-step explanation:

Answer:

8 correct.

Step-by-step explanation:

80 / 100 = x / 40    (Since he got 80% INCORRECT you will subtract the value of x from 40)

100x = 80 x 40

x = 3200 / 100

x = 32

40 - 32 = 8

Answer:

A

Step-by-step explanation:

The linear equation of inequality is y ≤ ( x/2 ) + 2

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The x intercept of the equation is when y = 0

So , A ( -4 , 0 ) is the x intercept

And , the y intercept is when x = 0

So , B ( 2 , 0 ) is the y intercept

Therefore , the inequality is y ≤ ( x/2 ) + 2 and the graph is plotted

Hence , the inequality is y ≤ ( x/2 ) + 2

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Step-by-step explanation:

let, width= x

then length= x+5

if both are increased by 5 feet then

new width =x+5

and length = x+5+5=x+10

therefore

area =(x+5)×(x+10)

next are same as first one.Have a try.

Step-by-step explanation:

answer see in attachment

To estimate a number less than 5 we we should Round down for example 44 then 4 is less than 5 so it's estimated number is 40

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge

Answer:

John:discount was57.978, he paid231.912

Sam:discountwas74.9975, he paid 224.9925

Step-by-step explanation:

28.989=10

57.978 =20                 100%-20%= 231.912

29.999=10%

14.9995=5%             10%×2   + 5%=74.9975            100%-25%