Given that line CD is a perpendicular bisector of triangle ABC, if side AB has a length of 11 and side AC has a length of 14 what is the length of side CD? Write your answer to the
nearest hundredth

The equation is [360.99 = (x - 0.10x)] and the cost of the furniture before the discount and tax is ​$ 401.1

As per the question statement, a furniture store has a sale offering ​10% discount on all furniture, and Amanda spent ​$360.99 on furniture before​ tax.

We are required to determine the equation using which, we can calculate the price of the furniture before the discount and tax, and also the price of the furniture before the discount and tax.

So, let us assume that the original cost of the furniture (before the discount and tax) is "x".

As per the question statement, Amanda spent ​$360.99 on furniture before​ tax, but with the discount applied over the original cost of the furniture, i.e.,

We can form a linear equation with the assumed variable "x" and the condition mentioned above, and solve the equation to obtain our required answer.

360.99= [x-(10/100*x)}

0r 360.99=(x-x/10)

or 360.99=(10x-x)/10

or 360.99=9x/10

x=401.1

Hence, the equation is [360.99 = (x - 0.10x)] and the cost of the furniture before the discount and tax is ​$ 401.1

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To get a perfect square, the smallest number to be multiplied by 6300 is 7.

Multiplication is the process of calculating the result when a number is taken times. Each of the numbers is referred to as a factor of the product, which is the outcome of a multiplication.

Consider the number 6300 which can also be written as:

6300 = 2 × 2 × 3 × 3 × 5 × 5 × 7

Now, 2, 3, and 5 are in pairs. Only 7 is not in pair.

Now, we will multiply 6300 by 7.

Then,

6300 × 7 = 44100

Therefore, the number 44100 is the number that makes the perfect square.

Let's say x² = 44100,

Taking square root on each side of the equation:

x² = 44100

√x² = √44100

x = √[ 21 × 21 × 10 × 10 ]

x = 210

Therefore the smallest number by which 6300 is multiplied to get a perfect square is 7.

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Answer: n=18

Step-by-step explanation:

f(n) = -3(n - 1); -51

-51=-3(n - 1)

-51/(-3)=-3(n - 1)/(-3)

n-1=17

n+1-1=17+1

n=17+1

n=18

Answer:

-23

Step-by-step explanation:

Just add left to right

The value of ST is 21

Note that line S, U and T are points in a line segment

From the information given, we have that;

ST = TU

Where;

Substitute the values into the equation

3x + 3 = 2x + 9

collect like terms

3x - 2x = 9 - 3

Subtract like terms

x = 6

But we have that ST = 3x + 3 = 3(6) + 3 = 18 + 3 = 21

Thus, the value of ST is 21

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Answer:

7/9=.77 infinite

1/3=.33 infinite

so

7/9-1/3=0.4444444 infinite

Step-by-step explanation:

Answer:

64.8

Step-by-step explanation:

    64.8      

5/ 324.0

  -30    

     24  

   -20  

       40

     -40  

         0

The total cost of wallpaper is $4 per square foot as calculated from the surface area of the rectangular prism.

The total surface area is the total area of all the surfaces of an object. The surface area is calculated by the area of the surface in the form of the 2 dimensional representation.

Here the box is in the form of an rectangular prism , which means that the box is in the form of a cuboid.

From the figure we can see that the dimensions of the box are :

length = 6 feet

width = 5 feet

height = 3 feet

We know that the total surface area of a rectangular prism is given by:

2×(length × width + width  ×height + height × length)

or, 2 × (6×5 + 5×3 + 3×6)

or, 126 ft²

Now the total cost for wallpaper is $504 .

Now to calculate the cost per square feet we will divide the total money by the total surface area.

∴Cost of the wallpaper per square foot=$(504÷ 126) per ft² = $4 per ft²

Hence the cost of the wallpaper is $ 4 per ft² .

Disclaimer: The figure of the prism is attached below.

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Answer:

89.3220338983

Step-by-step explanation:

good luck

From the given stem-and-leaf plot, we have that:

a) The maximum number of cups of coffee sold on a single day is of 78.

b) In 5 days, less than 60 cups were sold.

c) The average sales is of 65 cups of coffee a day.

The questions are missing, and they are given by the image at the end of the answer.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Considering the key in this problem, the measures(number of cups of coffee sold each day) are given as follows:

50, 52, 58, 59, 60, 63, 63, 65, 69, 69, 72, 75, 77, 78.

Hence:

a) The maximum number of cups of coffee sold on a single day is of 78.

b) In 5 days, less than 60 cups were sold.

The average of a data-set is given by the sum of all observations in the data-set divided by the number of observations, hence:

M = (50 + 52 + 58 + 59 + 60 + 63 + 63 + 65 + 69 + 69 + 72 + 75 + 77 + 78)/14 = 65.

The average sales is of 65 cups of coffee a day.

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The value of the expression when z = 10 is 1000

The given parameters are

z = 10

z^3 - 3(z-10)

Substitute z = 10 in z^3 - 3(z-10)

So, we have

10^3 - 3(10-10)

Evaluate the expression

10^3 - 3(10-10) = 1000

hence, the value of the expression when z = 10 is 1000

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The answer is (-4,3)

The reason is because you move -4 steps to the left. and 3 steps upward to get to G.

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Answer:

36.5 is median Temperature for girls

Step-by-step explanation:

Let's first calculate the median Temperature for boys to show you how it is done;

Below are the Temperature, they are not in ascending order

37.0,36.1,37.1,37.3,36.3,36.4,36.7,36.7,36.7,35.8

Now let's arrange them in ascending order

35.8, 36.1, 36.3, 36.4, (36.7, 36.7, )36.7, 37.0, 37.1, 37.3

In the middle are 36.7 and 36.7 as seen in the bracket

to find median = 36.7+36.7/2

➟ 73.4/2

➟ 36.7

∴36.7 is median Temperature for boys

Now that I've shown you example with boys temperature let's go find the actual temperature which is girls

Below are temperature for girls

34.7,35.8,35.9,36.2,36.4,36.6,36.6,36.8,36.8,36.9

Let's arrange them in ascending order

34.7, 35.8, 35.9, 36.2,( 36.4, 36.6, )36.6, 36.8, 36.8, 36.9

In the middle are 36.4 and 36.6 as seen in the bracket

to find median = 36.4+36.6/2

➟ 73/2

➟ 36.5

∴36.5 is median Temperature for girls

Answer: Santiago will need 9 teaspoons of baking soda.

Step-by-step explanation:

Convert 3/4 into a decimal (You don't have to. It just makes it a little easier).

3/4 = 0.75

12 * 0.75 = 9

Answer:

$396.84

Step-by-step explanation:

To solve for this question, we can use the formula:

Cost of Paint per Gallon × Amount of Paint needed in Gallons

Cost = $29.95 per gallon x 13.25 gallon

= $396.84 (Rounded off to 2 decimal places)

Answer:

$396.84

Step-by-step explanation:

We can set up this equation

29.95*13.25

Multiply

396.8375

Round

$396.84

Answer: y=6x−8

Step-by-step explanation:

Answer:

Exact Form: 43/8

Decimal Form: 5.375

Rounding to the Nearest whole number: 5

The length of the line segment FG is equal to 4.

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The Euclidean distance between two ends of a line segment determines its length.

Consider a line segment EG,

Let's say F is a point on the line segment.

Then,

Now we have,

The length of the line segment EG = 19 and the length of the line segment EF = 15.

Now,

EG = EF + FG

Subtracting EF from each side,

EG - EF = EF + FG - EF

FG = EG - EF

Substituting the values of EF and EG in the above equation,

FG = 19 - 15

FG = 4

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Answer:

4

Step-by-step explanation:

19-15=4

The required intersection would be at the point (55, 460) in the given graph which shows a round of golf is 55 and a total cost is $460.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

We have been given that the graph represents the following situation.

Golfers must first pay a $75 membership fee and an additional $7 for each round of golf in order to play at Gulf Shores Range.

Golfers at the Royal Estates Country Club pay $5 for each game of golf, but membership costs $185.

Since the x-axis represents a round of golf and the y-axis represents a total cost.

According to the graph,

Here is a round of golf = 55 and a total cost = $460

So the intersection represents this situation at the point (55, 460).

Therefore, the required intersection would be at the point (55, 460) in the given graph.

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The single power that is equivalent (4³)² to is 4^6.

This is a term in mathematics to refer to the exponents. The given expression is four to the power of three all to the power of two. Exponents helps to represent equations and makes it easier to remember  and handle.

Given data

(4³)²

This could be solved using the laws of indices

(4³)² =  4³ * 4²

4³ * 4² = 4³ *² = 4^6

Hence we can say that the single power that is equivalent (4³)² to is 4^6.

base = 4

power = 6

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The inequality stated may be expressed as 2m - 5/4 ≤ 7/8.

There are four sorts of inequality.

A < B means that A is less than B.

A > B means a is greater than B.

A ≥ B, a is bigger than or equal b.

A ≤ B, a is less than or equal.

In light of the posed query

The maximum difference between two numbers, m and 5/4, is equivalent to an inequality of the form 2m - 5/4 < 7/8.

The difference between two numbers, "m," and 5/4 is 2m - 5/4, which can only represent "less than" or "equal to."

∴ The formula for the given statement is 2m - 5/4 < 7/8.

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So the x of the vertex is -b/2a which is -6/-2 which is 3. -2*9+6*3+12 is 18+18+12 so the vertex is (3, 48). The vertical intercept is 12.

Answer:

8

Step-by-step explanation:

[tex]g(x)=3^2+2x-4=5+2x \\ \\ g(1.5)=5+2(1.5)=8[/tex]

The length of the interval AB is 7.21 units.

Given,

From the graph we can have the triangle ABC.

Length of side AC = 6 - 2 = 4 units

Length of side BC = 7 - 1 = 6 units

We have to find the length of AB.

By using Pythagorean theorem we can determine the length of AB.

Hypotenuse² = Altitude² + Base²

AB² = AC² + BC²

AB² = 4² + 6²

AB² = 16 + 36

AB² = 52

AB = [tex]\sqrt{52}[/tex] = 7.21

That is, the length of the interval AB is 7.21 units.

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Internet users worldwide spent an average of 147 minutes per day on social media as of 2022, up from 145 minutes the year before.

Currently, the Philippines is the nation where people spend the most time on social media each day, with an average of three hours and 53 minutes each day. In contrast, Americans only spent two hours, and three minutes every day on social media.

The collection, description, analysis, and drawing of conclusions from numerical data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Calculus, specifically differential and integral calculus, as well as linear algebra and probability theory, are key components of the mathematical ideas that underpin statistics.

Hence, People typically use social media for 147 minutes every day, or two hours and 27 minutes.

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