a contractor buys 8.2 square feet of sheet metal. she used 2.1 square feet so far and has $183 worth of sheet metal remaining. write and solve an equation to find out how much sheet metal costs per foot

Here we will show you how to calculate the angle in degrees made by the hour hand and minute hand on a 12-hour clock at 11:12.

Before we continue, note that a clock is shaped like a circle and is composed of 360 degrees.

There are 60 minutes in an hour, and 360 degrees divided by 60 minutes is 6. Therefore, the minute hand moves 6 degrees per minute.

As you can see, the hour hand and minute hand showing 11:12 on the clock make an angle. We used the hands to make the pie chart below so it is easier to visualize what we are calculating.

The hour hand and minute hand on a clock showing 11:12 actually make two angles: The hour hand to the minute hand is outlined in blue, and the minute hand to the hour hand is outlined in red.

360 - (336 - 72) = 96 degrees

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Using multiple line and angle theorems, the values of each of the 14 angles are given.

Using the geometry theorems :

1.)

∠2 is a right angle = 90°

2.)

∠1 + ∠2 + ∠3 = 180° (sum of angle on a straight line)

90 + ∠1 + 54° = 180°

∠1 = (180 - 144) = 36°

(∠2 and ∠5) ; (∠3 and ∠6) ; (∠1 and ∠4) are vertically opposite ;

Hence,

∠4 = 36°

∠5 = 90°

∠6 = 54°

∠3 = ∠8 = 54° (corresponding angles)

∠9 + ∠8 = 180° (sum of angle on a straight line)

∠9 = (180 - 54) =126°

∠7 = ∠9 = 126° (vertically opposite angles)

∠8 = ∠10 = 54° (vertically opposite angles)

∠4 = ∠13 = 36° (corresponding angles )

∠12 + ∠13 = 180° (sum of angle on a straight line)

∠12 = (180 - 36) =126°

∠11 = ∠13 = 36° (vertically opposite angles)

∠12 = ∠14 = 126° (vertically opposite angles)

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Answer:

45%

Step-by-step explanation:

15 x 3 = 45

The outcome of -2 g(x) + f(x) is 4 x -2  x ² and the domain is  [ 0 , 2 ] .

Given,

f (x) = x - 2 and g (x) = x² - 3 x + 2

The question states to find the summation of the function f, that is, f (x) = x - 2, and function g, that is, g (x) =  x² - 3 x + 2

Performing the addition operation on these functions is just like simple addition.

This means that when we add the two functions f (x) and g (x), we get

f (x) + g (x) = x - 2 + x² - 3 x + 2

=> f (x) + g (x) = x ² - 2 x

This implies that the summation or addition of the two functions f (x) and g (x) gives x ² - 2 x

needed result = -2 g(x) + f(x) = -2 ( x² - 2 x ) = -2  x ² + 4x = 4 x -2  x ²

To find domain,

y = 4 x -2  x²

=> 4x -2 x²  ≥   0

=> 2 x * ( 2 - x )  ≥   0

=> 2 x ≥ 0 and 2 - x  ≥   0

=>x  ≤ 2 and  x ≥   0

=> the final Domain = [ 0 , 2 ]

Therefore, we get the result of -2 g(x) + f(x) as 4x -2  x ² and the domain as  [ 0 , 2 ] .

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The depth of the box once the sand is poured into it is 2 feet

Volume of the box = length × height × width

20 = 5 × 2 × x

20 = 10x

x = 20/10

x = 2 feet

Therefore, the depth of the box once the sand is poured into it is 2 feet

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Answer:

14.05 lb

Step-by-step explanation:

9.54 + 4.51 = 14.05 lb

Answer:

1-10 2-10 5-10 10-10

Step-by-step explanation:

Answer:

14y - 6

Step-by-step explanation:

given factored expression

2(7y - 3) ← multiply each term in the parenthesis by 2 to give original

= 14y - 6 ← expression before being factorised

The Area and Perimeter of the rectangle is 112 Inches² and 46 Inches respectively.

Suppose in question they are talking about rectangle.

So, let

Length (l) of rectangle  = 16 Inches

Width (w) of rectangle  =   7 Inches

As we have both sides of rectangle now we will determine the value of area and perimeter of rectangle.

Area of rectangle = l × w

                              = 16 × 7

                              = 112 Inches²

Perimeter of rectangle = 2( l + w )

                                      = 2( 16 + 7 )

                                      = 2 × 23

                                      = 46 Inches

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The number of days for which the costs are the same is 6 days.

Let the number of days be represented by d.

A rental car agency charges a flat fee of $131.00 plus $49.00 per day to rent a certain car. This will be

131 + 49d

Another agency charges a fee of $77.00 plus $58.00 per day to rent the same car. This will be

77 + 58d

Equate both equations

131 + 49d = 77 + 58d

Collect like terms

58d - 49d = 131 - 77

9d = 54

Divide

d = 54 / 9

d = 6 days.

Therefore, the number of days for which the costs are the same is 6 days.

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Answer:

√ Using Pythagoras Theorem OB2 = OA2 + AB2 OB2 = 32 + 22 OB2 = 9 + 4 OB = √13

Step-by-step explanation:

Answer:

19.08-6%=12.25+x

18.00=12.25+x

18.00-12.25=5.75

x=5.75

cat food is $5.75

Step-by-step explanation:

Answer:

3 units left and 2 units down

Step-by-step explanation:

The ordered pair is written (x,y)  The x tells us the location right or left from the origin (0,0) and the y tells us the up or down from the origin (0,0).

We are translating the point from (6,4) to (3,2)  Look at the x values.  We start at 6 and move to 3.  That means that we moved 3 units to the left.

Now look at the y values.  We start at 4 and move to 2.  That means that we moved down 2 spaces.

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

[tex]\cfrac{9 + x}{15}=\cfrac{15}{9}\implies \cfrac{9 + x}{15}=\cfrac{5}{3}\implies 27+3x=75 \\\\\\ 3x=48\implies x=\cfrac{48}{3}\implies \boxed{x=16}[/tex]

A function that represents the meters Jackie can run in any given minutes is b = 150m.

The meters she would run after 12 minutes is 1,800 meters.

The independent variable is the variable that cannot be altered in the process of an experiment. The independent variable is the minutes ran by Jackie.

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable. The dependent variable is the total distance that Jackie runs.

The function that represents the distance run is:

Total distance = distance run per minute x number of minutes

b = 150 x m

b = 150m

Distance run in 12 minutes = 150 x 12 = 1800 meters

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Number of cats cannot be a decimal value, therefore, Total number of stray cats in the city today are 2686, rounded off from 2686.29.

As per the question statement, a certain city had 300 stray cats in 1999, and the number of cats are growing by 10% every year since then.

We are required to calculate the total number of stray cats in the city today.

To do so, we will need to know the formula of compound interest which goes as [tex]A=[P*(1+\frac{R}{100})^n][/tex]

Where, A = Final Amount i.e., (Principle + Interest).

P = Principle on which Interest in compounded

R = Rate of Compound Interest per annum

n = Time period of interest.

Here, (P = 300), (R = 10) and [n = (2022-1999) = 23]

Using these values of P, R and n in the above-mentioned formula to calculate the amount in the case of compound interest, we get,

Total number of stray cats in the city today (T) = [tex][300*(1+\frac{10}{100})^{23} ][/tex]

[tex]or, T=[300*(\frac{100+10}{100})^{23} ]\\or, T=[300*(\frac{110}{100})^{23}]\\or, T=[300*(\frac{11}{10})^{23}]\\or, T=2686.29[/tex]

Since, number of cats cannot be a decimal value, therefore, Total number of stray cats in the city today are 2686, rounded off from 2686.29.

Compound Interest: Compound interest means that the interest increases exponentially, rather than increasing linearly over time, or in simpler words, it is a continuous interest on principal plus interest.

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Answer:

Point G

Step-by-step explanation:

It is point G because since you mirrored it and flipped it, you need to flip figure one and if you move it to where figure two is, in the same place, the new point R is where point G is, so G corresponds to R

P.S. someone else aske the same question

Step-by-step explanation:

ndiqdgndkiermqigmniiscdgvdgngntj

Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.. The inequality that represents the given situation is 13x - 9 > 4.5x + 8

Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

From the question, we are to determine the inequality that represents the given situation

From the given information, we have that

The length of the laptop is given by 13x - 9 units

and The width of the laptop is given by 4.5x + 8 units

If the length is greater than the width, then we can write that

13x -9 > 4.5x + 8

Hence, the inequality that represents the given situation is 13x - 9 > 4.5x + 8

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Answer:

b = 14

c = -2

d = 74

Step-by-step explanation:

use calculator

b = 4 - (-10)

c = 6 ÷ (-3)

d = (7×7) + (5×5)

The rate which the mulch is being applied is 250,000 cm^3/cm^2

The statement is given as

Rita is applying 250,000 cm^3 of mulch per m^2 of the garden space

This means that the rate is

Rate = Volume of mulch/Area of garden space

Substitute the known values in the above equation

So, we have

Rate = 250,000 cm^3/cm^2

Hence, the rate which the mulch is being applied is 250,000 cm^3/cm^2

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Answer:

(2)

15x8.66666667=130.00000005

Step-by-step explanation:

to get the are in square feet you have to Length (in feet) x width (in feet) = area in sq. ft.

Given the following relation:

[tex] \frac{1}{A } = \frac{55}{26} \\ [/tex]

We can solve for A, by taking the reciprocal on both sides, meaning we flip the fractions. This operation does not change our original relation.

[tex] \frac{A}{1} = \frac{26}{55} \\ or \: A = \frac{26}{55} [/tex]

Approximation to the nearest tenth place:

[tex]A = \frac{26}{55} \approx0.4[/tex]

Answer:

-5,3. You crawl before you can walk.

Step-by-step explanation:

Answer:

(-7, 3)

Step-by-step explanation:

Original point: (-3, 1)

So original x = -3
4 units left means x coordinate is decreased by 4
So, new x-coordinate = -3 - 4 = -7

Original y coordinate = 1
2 units up means y coordinate increases by 1
So new y-coordinate = 1 + 2 = 3

Translated point = (-7, 3)

See graph for visual explanation

Answer:

1) 8

2) -12

3) 80ft = 2438.4 centimetres

4) 12 square feet = 1728 square inches

Step-by-step explanation:

1) ➟ (2−3)(−8+2)+|−3+5|

➟ (-1)(-6)+(2)

➟ 8

2) (−|−2−5+3|)(5−2)

=(−|−7+3|)(5−2)

=(−|−4|)(5−2)

=−4(5−2)

=(−4)(3)

=−12

3) 80ft = 2438.4 centimetres

4) 12 square feet = 1728 square inches

Answer:

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

2(4)=8, and a negative number times a positive number results in a negative number.

After solving, the factors of equation 3x²+10x+8 are:

So,

Given the equation: 3x²+10x+8

Then,

Factors are: (x+2) and (3x+4)

Therefore, after solving, the factors of equation 3x²+10x+8 are:

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