Explain what the vertical line test is and how it is used.

Answer:

Jamie would pay an extra $332.80

Step-by-step explanation:

Answer:

68 units sq

Step-by-step explanation:

You have to find the total area of all the shapes and subtract the unshaded.

(9 + 17) * 8 / 2, formula

26 * 4 = 104

Then find the unshaded part

9 * 8 / 2

9 * 4

= 36

104 - 36 = 68

Answer:

68

Step-by-step explanation:

The formula of a trapezoid is \(A = \frac{a+b}{2} h\)
Use the values given in the equation:
\(A = \frac{17+9}{2} *8\)
A = 13*8

A=104 (This the area of the overal trapezoid)

To find the area of the inner unshaded triangle, simply multiply 9 (Base) times height (8) * 1/2 to get 36

Then subtract 36 from 104 and you get 68

Figure B is not a scale copy of figure A. The answer is NO. The corresponding lengths of both figures have different ratios.

If a figure is the scale copy of another figure, the corresponding side lengths of both figures would be proportional to each other, which means their ratios would be the same.

From the figure given, the ratios of their side lengths are:

18/9 = 2

12/12 = 1

30/15 = 2

This shows that their ratios are not the same.

Therefore, we can conclude that figure B is not a scale copy of figure A. The answer is NO. The corresponding lengths of both figures have different ratios.

Learn more about scale copy on:

https://brainly.com/question/9762240

#SPJ1

The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

To find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:

Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.

Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.

Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.

Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.

Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).

Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

Read more about conic section at

https://brainly.com/question/29192791

#SPJ1

Answer:

  0π

Step-by-step explanation:

After you add 5 and divide by 7, you find you're looking for solutions to ...

  cos(θ) = 1

Your knowledge of the cosine function tells you the solution is ...

  θ = 0 . . . . . matches the last choice (only)

___

Any multiple of 2π is a solution, but the only one in the allowed domain is 0π.

24 i think

an LCM is the lowest number that applies to all numbers in your equation

Check the picture below.

let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)\)

\(\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)\)

\(\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}\)

Answer:

all of the above(ans)

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

Find out more on centimeters at https://brainly.com/question/22462126

#SPJ1

Answer:

For Triangles:

To find remaining angles, implying that you have angles already given to you, you would mark your unknown angle as a variable, x per say, then you would add together the angles that you do have and you would subtract that by 180 degrees because all triangles angles sum up to 180 degrees. So when you subtract that you should be able to find your unknown angle.

The equation of the line y = (2/3)x + 35 is the trend line for the given data in the scatter plot.

Given, the Comfy Couch Store allows Sheila to purchase furniture items and pay over time.

The given scatter plot shows the relationship between the number of payments Sheila makes and the remaining balance she needs to pay.

On solving the given scatter plot,

we get the trend line as

y = (2/3)x + 35

Hence, the equation of the line y = (2/3)x + 35 is the trend line for the given data in the scatter plot.

Learn more about Scatter Plot here https://brainly.com/question/29052392

#SPJ9

Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.

Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°

So,Let's keep ∠EIH = 140°

Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)

Now,The Sum of all angles around I will be 360 degrees.

So,140 + x + 140 +  x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

To know more about fractions visit the link

https://brainly.com/question/10354322?referrer=searchResults

#SPJ1

Answer:

8.75cm²

Step-by-step explanation:

First we need to find the angle subtended by the arc

L = theta/360 * 2pir

3.5 = theta/360 * 2*3.14(5)

3.5 = theta/360 * 31.4

theta/360 = 3.5/31.4

theta/360 = 0.11146

theta = 0.11146 * 360

theta = 40.13 degrees

Area of the sector = theta/360 * pir^2

Area of the sector = 40.13/360 * 3.14*25

Area of the sector = 40.13/360 * 78.5

Area of the sector  = 8.75cm

Hence the area of the sector is 8.75cm²

Answer:

x= 116/17

Step-by-step explanation:

5x+192−321+13=−12x

Step 1: Simplify both sides of the equation.

5x+192−321+13=−12x

5x+192+−321+13=−12x

(5x)+(192+−321+13)=−12x(Combine Like Terms)

5x+−116=−12x

5x−116=−12x

Step 2: Add 12x to both sides.

5x−116+12x=−12x+12x

17x−116=0

Step 3: Add 116 to both sides.

17x−116+116=0+116

17x=116

Step 4: Divide both sides by 17.

17x/17=116/17

x = 116/17

Applying the sine rule the value of side w is calculated to be 6.2

The size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal

the formula is

Sin A / a = Sin B / b = Sin C / c

applying the formula for the problem

Sine W / w = Sine X / x

plugging in the values

Sine 38 / w = Sine 84 / 10

cross multiplying

w = 10 x Sin 38 / Sine 84

x = 6.185

x =  6.2 to the nearest tenth

Learn more about sine rule at:

https://brainly.com/question/29625488

#SPJ1

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

For more questions on fraction

https://brainly.com/question/78672

#SPJ8

Answer:

$41.69

Step-by-step explanation:

The computation of the selling price of the each pair of slacks is as follows:

Given that

Cost = $19.36 per pair  

Markup = $22.33

As we know that  

Markup = Sell Price - Cost

So,  

Sell Price = Cost + Markup

= $19.36 + $22.33

= $41.69

Hence, the selling price is $41.69

The solution for x, y, and z is x = 2, y = 2, and z = 2.

To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:

Simplify the expressions within the parentheses using the power of operator ("^").

\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)

Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)

\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)

Simplify the expression within the parentheses.

\((15610)^{16 }= 900^{16\)

Express both sides of the equation in terms of prime factors.

\(900 = 2^2 \times 3^2 \times 5^2\)

quate the powers of the prime factors on both sides of the equation.

\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)

From this, we can conclude that x = 2, y = 2, and z = 2.

Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.

for such more question on expressions

https://brainly.com/question/12270624

#SPJ11

It would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.

To find out how long it would take 10 men to dig the same hole if they work at the same rate, we can use the concept of man-hours.

We are given that 8 men can dig the hole in 9 hours.

This means that the total man-hours required to complete the task is 8 men \(\times\) 9 hours = 72 man-hours.

Since the number of men has increased to 10, we need to determine the new time it would take for them to complete the task at the same rate.

If we assume that the work rate remains constant, the total man-hours required to dig the hole would still be the same, which is 72 man-hours.

To find the new time, we divide the total man-hours by the number of men:

72 man-hours / 10 men = 7.2 hours.

Therefore, it would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.

Note: It's important to keep in mind that this calculation assumes a linear relationship between the number of men and the time taken.

In practice, other factors such as coordination and efficiency may come into play, potentially affecting the actual time required.

For similar question on  same rate.

https://brainly.com/question/25720319  

#SPJ8

(a) The mean of the data item from the group data is 161.

(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.

(c) The sum of the deviation is 0

Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.

(a) To find the mean of the data, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.

M' = x-M

For data 115,

For data 156,

For data 162,

For data 164,

For data 168,

(c) The sum of the deviation is

Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7  and the sum of the deviation of the data is 161 and 0 respectively,

Learn more about group data here: https://brainly.com/question/24298037

#SPJ1

Answer:

x = 36√2

Step-by-step explanation:

Reference angle = 30°

Side length opposite to 30° = 12√6

Adjacent length = x

Apply TO A to find x.

Tan 30° = Opp/Adj

Tan 30° = 12√6/x

multiply both sides by x

x*Tan 30° = 12√6

Divide both sides by Tan 30°

x = (12√6)/Tan 30°

x = (12√6)/(1/√3) (tan 30° = 1/√3)

x = (12√6) × (√3/1)

x = 12√18

x = 12√(9*2)

x = 12*3√2

x = 36√2

Given:

The two similar triangles are given.

To find:

The ratio (red to blue) of the corresponding side lengths of the similar triangles

Explanation:

Let us take the length of the one side of the red triangle.

The length of the corresponding side in the blue triangle is,

So, the ratio from red to blue is,

Final answer:

The ratio (red to blue) of the corresponding side lengths of the similar is 2:5.

Answer:

They do transactions from such a large distance

Step-by-step explanation:

Banks make it far easier for a complex economy to carry out the extraordinary range of transactions that occur in goods, labor, and financial capital markets. Banks are a critical intermediary in what is called the payment system, which helps an economy exchange goods and services for money or other financial assets.

Answer:

c

Step-by-step explanation:

Answer:

$7.50

Step-by-step explanation:

the question can be represented with:
12.5/5 and x/3

12.5/5 is 2.5, so that means each bag of dog food is $2.5  
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.

Answer:

Step-by-step explanation:

Remark

I take it you mean 5 and not 0.5.

If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.

Formula

Number of bags/Cost = new number of bags/Cost of the new number

Givens

original Number of bags  = 5

Cost = 12.50

New number of bags = 3 bags

Cost = x

Solution

5/12.50 = 3/x           Cross Multiply

5x = 12.50 * 3          Combine the right

5x = 37.5                  Divide by 5

5x/5 = 37.5/5

x = 7.5

Answer: 3 bags cost 7.50 dollars.

Answer:

32 times

Step-by-step explanation:

4/5:x/40 ----x=32

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer: 69 and 420

Step-by-step explanation: