Use the dchnition of similarity to solve the following problem.
Sheila is standing near the Eiffel Tower in Paris, France. The shadow of the monument is 580 feet long, and Sheila's shadow is 3fections. If Shells 5-
feet 6 inches tall, how tall is the monument?
5 ft 6 in
580 ft
3 ft

If your total income before exemptions were $10,000, you would pay $0 taxes.

If your total income before exemptions were $20,000, you would pay $960 taxes.

If your total income before exemptions were $50,000, you would pay $5928 taxes.

A function that models total tax paid is T(x) = (0.10 x $15,000) + 0.18(x - 10,400 - 15,000).

No tax would be paid if income is $10,000. This is because $10,000 is less than the total deduction of $10,400($6350 + $4050).

Tax paid if total income is $20,000 = 0.10($20,000 - $10,400) = $960. The 18% tax would not be paid because income after the deductions is less than $15,000.

Tax paid if total income is $50,000 = 0.10 x $15,000 + 0.18($50,000  - $10,400 - $15,000) = $1500 + $4,428 = $5928

T(x) = (0.10 x $15,000) + 0.18(x - 10,400 - 15,000).

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The rectangular form of the complex number z = 2.5(cos(3.6) + isin(3.6)) is given as follows:

B. z = -2.25 - 1.1i.

A complex number is a number that is composed by a real part and an imaginary part, as follows:

z = a + bi.

In which:

The number for this problem is given as follows:

z = 2.5(cos(3.6) + isin(3.6))

Hence the real and the imaginary part are given as follows:

Hence the rectangular form of the number is:

B. z = -2.25 - 1.1i.

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Answer:

Step-by-step explanation:

Y = (-116)(51)(-2)

Y = (-116) × (51) × (-2)

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Answer:

y= 52,000+.6x

Step-by-step explanation:

Step-by-step explanation:

Answer: there are 11 calories in one glass of milk and 14 calories in one snack bar.

Step-by-step explanation:

Take milk to to be M and snack bars to be S.

Use algebra, so

2m + 3s = 64 and also

4m + 2s = 72

Multiply the top equation by 2 so both have 4m, so

4m + 6s = 128 and also

4m + 2s = 72

Then minus the numbers form the top equation by the bottom equation, so

4m + 6s = 128

- - -

4m + 2s = 72

This gives you 4s=56 so divide by 4 so s=14

No put 14 into the equation for s and rearrange to solve for m, so

2m+3s=64 So

2m+3x14=64

2m+42=64

Then minus 42

2m=22

m=11

Answer:

.........................................................

Step-by-step explanation:

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Answer:  The jar contains a total of 18 coins (8 pennies + 3 nickels + 5 dimes + 2 quarters). To get more than 4 cents, we need to choose a nickel, dime, or quarter. There are 3 nickels, 5 dimes, and 2 quarters, for a total of 10 coins that satisfy this condition. Therefore, there are 10 ways to choose a coin from the jar that is more than 4 cents.

Answer:

rational numbers

Step-by-step explanation:

Answer:

Step-by-step explanation: This is what i can do

1. The first graph belongs to this question

\(3p+4\geq -14 , 1-5p\geq -39\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:3y+4\ge \:-14:\quad y\ge \:-6\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:1-5y\ge \:-39:\quad y\le \:8\\\\=\begin{bmatrix}y\ge \:-6\\ y\le \:8\end{bmatrix}\\\\\mathrm{1.\:Graph\:each\:inequality\:separately.}\\\mathrm{2.\:Choose\:a\:test\:point\:to\:determine\:which\:side\:of\:the\:line\:needs\:to\:be\:shaded.}\\\)

\(3.\:The\:solution\:to\:the\:system\:, will\:be\\\:the\:area\:where\:the\:shadings\:from\:each\:\\inequality\:overlap\:one\:another.\\\\\mathrm{See\:graph\:below.}\\\\\begin{bmatrix}y\ge \:-6\\ y\le \:8\end{bmatrix}\quad \mathrm{Unbounded}\)

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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The options that correctly show the points of the given graph are;

Option 4: A is on the y-axis

Option 5; D is on the x-axis

Usually in mathematical equation graphs, the y-axis represents the range of the function which is a set of all possible output values for given input values . Whereas, the domain is usually represented on the x-axis and it shows the set of all possible input values of the function.

Now, from the given graph, we see the following;

A is on the y-axis

B is at the origin

C is at the point (1, 2)

D is on the x-axis

Looking at the options, we can tell that options 4 and 5 are correct representations of the given graph because they correctly denote the points on the x-axis and y-axis.

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Answer:

$132.63

Step-by-step explanation:

$49.13 - ($32.50 × 2)

$49.13 - $65 = $-15.87

$-15.87 + ($74.25 × 2)

$-15.87 + $148.50

=$132.63

Answer: A

Step-by-step explanation:

\(8x^2 +6x=5\\\\8x^2 +6x-5=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(8)(-5)}}{2(8)}\\\\x=\frac{-6 \pm 14}{16}\\\\x=-\frac{5}{4}, \frac{1}{2}\)

Answer:

Quinn can expect to pick blue 40 times

Step-by-step explanation:

the probability of picking blue is stated as 2/10 which can be reduced to 1/5

multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)

200 x 1/5 = 200 / 5 = 40

Quinn can expect to pick blue 40 times

Answer:40 blue marbles

Step-by-step explanation:

First find the probability of a blue marble

P (blue) = number of blue marbles / total marbles

            = 2 blue/ ( 5+3+2) total

             = 2/10

              =1/5

We can use this since we return the marble to the bag each time

We multiply this by 200 for the number of times it is picked

200 * 1/5 = 40

We should expect to pick 40 blue marbles

Answer:

y=-1/4x+4

Step-by-step explanation:

The graph starts on 4 so that is your y-intercept

Use slope formula to get the slop (y2-y1 over x2-x1)

Use 2 coordinates for formuls (In your case (0,4) and (4,3))

3-4=-1 4-0=4

slope is -1/4

y= -1/4x+4

The function is continuous in the domain x ≥ 3/4

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

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Answer:

h = S - pie r ^2

Step-by-step explanation:

A on edge

The equation equivalent to : S = pi r squared h is -

           h = StartFraction uppercase S over pi r squared EndFunction

We have - S = pi r squared h

We have to find which equation is same as S = pi r squared h

The volume of a cylinder of radius \(r\) and height \(h\) is -

                                                            \(\pi r^{2}h\)

which is same as -

                                                     pi r squared h

when written in word format.

Let Suppose -

                                                         \(S=\pi r^{2} h\)

which can be written in terms of height \(h\) as -

                                                          \(h=\frac{S}{\pi r^{2} }\)

Now, if we write the above equation in word format, we get -

          h = StartFraction uppercase S over pi r squared EndFunction

Therefore, the equation equivalent to pi r squared h is -

         h = StartFraction uppercase S over pi r squared EndFunction

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The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Answer:

yeppy the answer should be 1. 6p=42 :)

Answer:

Danielle Stevenson receives $2,600 from selling the $160,000 house.

Step-by-step explanation:

To find the amount Danielle Stevenson receives from selling the house, we'll follow these steps:

Calculate the commission earned by Danielle Stevenson: Commission = 6.5% * $160,000.

Commission = 0.065 * $160,000 = $10,400.

Determine the broker's share: Broker Share = 0.5 * Commission.

Broker Share = 0.5 * $10,400 = $5,200.

Calculate the remaining amount after the broker's share: Remaining Amount = Commission - Broker Share.

Remaining Amount = $10,400 - $5,200 = $5,200.

Determine the salesperson's share: Salesperson Share = 0.5 * Remaining Amount.

Salesperson Share = 0.5 * $5,200 = $2,600.

Finally, calculate the amount Danielle Stevenson receives, which is the remaining portion after the broker and salesperson's shares: Amount Danielle Receives = Remaining Amount - Salesperson Share.

Amount Danielle Receives = $5,200 - $2,600 = $2,600.

Therefore, Danielle Stevenson receives $2,600 from selling the $160,000 house.

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Answer:

x=-24/a

Step-by-step explanation:

18-ax=42 isolate x by subtracting 18 from both sides to get -ax=24 then divide by a negative 1 to get ax=-24 then divide by a to isolate x to get x=-24/a

Answer:

100

Step-by-step explanation:

30-28=100 if u round it to thr nearest hundreth because

30 2-2=0

- 18-8=10

-28

10 rounded to tye nearest hunderth is 100

Answer:

A. -5

Step-by-step explanation:

In a slope-intercept equation, the form goes this way:

y = mx + b ---> y intercept

    |

    |

     > slope / gradient / constant of variation / rate of change

So in the line y = -x - 5 the -5 keeps its symbol and is the y-intercept.

Therefore, the y-intercept of the line is -5.

Answer:

-5

Step-by-step explanation:

Answer:

in^2

Step-by-step explanation:

square inches means inches to the power of 2

in^2

Answer:(2,-3)

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

round the numbers to 12,000 and 24, then multiply

Answer:

A, C, and E

Step-by-step explanation:

-2, 0, and 5

Answer:

-2, 0, 5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the basic equation is 2xPIxrxh+2xPIxr squared

(two times pi times r times h plus 2 times pi times r squared)

so if you fill in the missing numbers it is

2 times pi times 7 times 17 plus 2 times pi times 7 squared

747.699051554 + 307.876080052

which equals about 1055.57513161.

(it's not completely accurate but that's the actual answer)

HOPE THAT HELPS!! sorry if it doesn't make sense :)