Mary is having her living room and bedroom painted interior designs USA charges 60.00 to evaluate space plus 35.00 per hour of labor splash of color charges 55.00 per hour with no i no initial fee which of the following are true ?

The measure of the angles and arc are:

1). arc CF = 98°

2). angle T = 60°

3). arc RS = 78°

4). arc AB = 116°

5). angle M = 68°

8). x = 11

9). x = 2

10). x = 11

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference.

1). arc FG = 2(63) = 126

arc EF = 360 - (126 + 136)

arc EF = 98°

2). angle R = 90/2

angle R = 45°

angle T = 180 - (45 + 75) {sum of interior angles of a triangle}

angle T = 60°

3). angle Q = 180 - (61 + 80) {sum of interior angles of a triangle}

angle Q = 39°

arc RS = 2(39)

arc RS = 78°

4). arc ABC = 2(73) = 146°

arc AB = 146 - 60 = 86°

arc VAB = 2(101) = 202°

arc AV = 202 - 86

arc AV = 116°

5). arc KL = 360 - (88 + 136)

arc KL = 136

angle M = 136/2

angle M = 68°

8). angle B = 84/2 = 42

5x - 7 + 42 = 90° {right triangle formed by diameter}

x = 55/5 = 11

9). 2(50x) = 38x + 61x + 2

100x = 99x + 2 {collect like terms}

x = 2

10). 10x - 11 = 8x + 11 {angles in same segment}

10x - 8x = 11 + 11

2x = 22

x = 11

Therefore, the measure of the angles and arc are:

1). arc CF = 98°

2). angle T = 60°

3). arc RS = 78°

4). arc AB = 116°

5). angle M = 68°

8). x = 11

9). x = 2

10). x = 11

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In the coordinate axis the point D is located at the position of (5,-2) .

In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located

The coordinates of each point are :

A (-5,-2)

B (-2,5)

C (2,-5)

D (5,-2)

Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.

A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.

The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.

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Answer:

m = - 2, c = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + 2x = 3 ( subtract 2x from both sides )

y = - 2x + 3 ← in slope- intercept form

with m = - 2 and c = 3

Answer:

215.6

Step-by-step explanation:

just subtract 400.8-185.2 to get width

Answer:

15.2

Step-by-step explanation:

We know the formula to find the perimeter of a rectangle is 2(w + l) or 2w + 2l (in this case we'll use 2w + 2l). We are given the length as 185.2. Next, we multiply 185.2 by 2 (or add twice) to get 370.4. Then, we subtract 370.4 from 400.8 to get 30.4. Lastly, we split 30.4 in half to get 15.2 meters.

Have a lovely rest of your day/night, and good luck on your assignment! ♡

Answer:

You need to put an image of the graph for people to give you an answer.

Step-by-step explanation:

Answer:

x < 727 pounds

Step-by-step explanation:

Let the weights of every other alligator caught in Mississippi be represented with the variable \(x\)

For the largest alligator ever caught to weigh 727 pounds, that means that the weights of every other alligator caught in Mississippi will definitely be less than 727 pounds.

To show this inequality, we will use the less than symbol ( < )

Hence, we have  \(x <727 pounds\)

The  answer  is that since the company uses the allowance method for uncollectible accounts, it needs to record an allowance for doubtful accounts at the end of each accounting period. This allowance is an estimated amount that represents the portion of accounts receivable that is expected to be uncollectible.

In this specific situation, the company has determined that it will not be able to collect $1,200 owed by one of its customers. Therefore, it needs to adjust the allowance for doubtful accounts to reflect this uncollectible amount. This adjustment will decrease the accounts receivable balance and the net income for the period.

The allowance method is a way of accounting for uncollectible accounts that estimates the amount of accounts receivable that is likely to be uncollectible. This method is used because it is not possible to know exactly which accounts will not be collected. The estimated amount is based on historical experience and other relevant factors, such as economic conditions and the creditworthiness of customers.

When a company determines that a specific account is uncollectible, it needs to adjust the allowance for doubtful accounts to reflect this. This adjustment reduces the accounts receivable balance and the net income for the period. The adjustment is made by debiting the allowance for doubtful accounts and crediting the accounts receivable.

In this situation, the company has determined that it will not be able to collect $1,200 owed by one of its customers. Therefore, it needs to adjust the allowance for doubtful accounts to reflect this uncollectible amount. This adjustment will decrease the accounts receivable balance and the net income for the period. The adjustment is made by debiting the allowance for doubtful accounts and crediting the accounts receivable.

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To calculate the present value of $51,270 payments to be made at the end of each period for 17 periods at a 9% interest rate, we need to find the discounted value of each payment and sum them up.

The present value (PV) is calculated by discounting each future payment back to its current value using the interest rate. The formula to calculate the present value of a series of payments is:

PV = Payment × [1 - (1 + interest rate)^(-number of periods)] / interest rate.

In this case, the payment is $51,270, the interest rate is 9% (or 0.09 as a decimal), and the number of periods is 17.

Using the provided formula and rounding the factor values to 5 decimal places, we can calculate the present value as follows:

PV = $51,270 × [1 - (1 + 0.09)^(-17)] / 0.09.

Evaluating this expression will give us the present value of the payments. It's important to round the final answer to 0 decimal places, as stated in the question.

By substituting the values and calculating the expression, we can determine the present value of the $51,270 payments made over 17 periods at a 9% interest rate.

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Step-by-step explanation:

1.

(2x-11)° = 105° (vertical angles)

2x - 11 = 105

2x = 105 + 11

2x = 116

x = 116/2

x = 58

\( m\angle BEC = (2x - 11)\degree \\

m\angle BEC = (2\times 58-11)\degree \\

m\angle BEC = (116-11)\degree \\

\huge m\angle BEC = 105\degree \\

m\angle AEB =180\degree - 105\degree \\

(straight \: line \: \angle 's) \\

\huge m\angle AEB =75\degree \\

m\angle CED=m\angle AEB = 75\degree\\ (vertical \:\angle' s) \\\)

2.

\( (6x + 19)\degree + x \degree = 180\degree \\(straight \: line \: \angle 's) \\

(7x + 19) \degree = 180\degree\\

7x + 19 = 180\\

7x = 180 - 19\\

7x = 161\degree \\

x =\frac{161}{7}\\

x = 23\\

m\angle AEB=(6x + 19)\degree \\

m\angle AEB=(6\times 23+ 19)\degree \\

m\angle AEB=(138+ 19)\degree \\

\huge m\angle AEB=157\degree \\

m\angle CED=m\angle AEB = 157\degree\\ (vertical \:\angle' s) \\

m\angle BEC = x\degree \\

\huge m\angle BEC = 23\degree \\

m\angle AED =m\angle BEC=23\degree \\

(vertical \:\angle' s) \\

\)

Answer:  Answer is in the steps

Step-by-step explanation:

To determine if their are congruent ,find the distance between the points.

In AB  it has the points (-6,-4) and (-1,8)  

Now to find the distance you will have to find the difference between the x and y values then square them to add them and find the square root.

-4 - 8 = -12

-6 - (-1) = -5

12^2 + 5^2 =d^2  where d is the distance so solve for d

144 + 25 = d^2

169 =d^2

d = \(\sqrt{169}\)  

d= 13  

So we now the distance of AB is 13  

now we need to find the distance between CD

(2,5)  (14,0)  using these points follow the same steps in the first step to find the distance.

5-0= 5

2 -14 = -12

5^2 + 12^2 = d^2

25 + 144 = d^2

169 =d^2

d = \(\sqrt{169}\)  

d= 13

So using the information we can say the segments are congruent because they have the same distances .

Answer:

The bottom left one

Step-by-step explanation:

if they spin the spinner twice the outcomes from the first amount of outcomes doubles because it is doubling the chances

5/8 ÷ 1/4

5/8 • 4/1

5/2

Answer:

2.5 If I am right

Step-by-step explanation:

5/8 divided by 1/4= 2.5

I think  

The statement that is not true is the fourth one.

"Other points that are on line f are also solutions of the system".

We know that the graphs of lines f and g intercept at the point (4, 5). So trivially, the point (4, 5) belongs to both graphs.

That also means that (4, 5) is the solution of the system of equations:

y = f(x)

y = g(x).

And because these two are lines, these will intercept only once, then (4, 5) is the only solution of the system.

That means that the correct option (the false statement) is the fourth one.

"Other points that are on line f are also solutions of the system".

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Answer:

positive

Step-by-step explanation:

When evaluating square roots we use the positive (or principal) root.

Answer:

17 1/4

Step-by-step explanation:

69/4 is already a fraction but we can turn it into a mixed number.

69/4 → 69 ÷ 4 → 17.25 or 17 1/4

Best of Luck!

Answer:

you mean Decimal 17.25

Step-by-step explanation:

Answer: Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.

Step-by-step explanation:

Theater is a place where the movies are shown in big screens and Speakers are used for the clear audio of the movie.

In a theater there will be 3 to 4 shows for a movie or different movie.

Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.

Consider a ticket cost of 200rs. For 100 people in a show ,

                              Cost = 200 × 100

                               Cost = 20,000.

Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.

There for the diameter is 2(4.8 )= 9.6 ft

Given: Volume of the cone is 83.7 m³

We know that:

\(\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}\)

where r is the radius of the cone and h is the height of the cone

Given: Height of the cone = 5m

Substituting the values in the formula, we get:

\(\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}\)

\(\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}\)

\(\sf{\implies \pi r^2 = 83.7 \times 0.6}\)

\(\sf{\implies \pi r^2 = 50.22}\)

\(\sf{\implies r^2 = \dfrac{50.22}{\pi}}\)

\(\sf{\implies r^2 = 16}\)

\(\sf{\implies r = 4}\)

We know that : Diameter is two times the radius

⇒  Diameter of the Cone is 8 meters

Answer:68.46

Step-by-step explanation:add all together

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

Given,

The mean number of days that the midge Chaoborus spends in its larval stage = 14.1 days

Standard deviation = 2.2 days

We have to find the z-score for an individual midge that spends 12. 7 days in its larval stage;

Now,

z score = (x - μ) / σ

Here,

x = 12.7

Mean, μ = 14.1

Standard deviation, σ = 2.2

Then,

z score = (x - μ) / σ = (12.7 - 14.1) / 2.2 = -0.636

That is,

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

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Answer:

Step-by-step explanation:

Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x).  That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).

See the attached image.  The table shows how the values of y change for each value of x used in the respective function.  Plot those new values to produce the graph.

Answer:

173°

Step-by-step explanation:

supplementary angles add up to 180°

hence,180-7=173°

The number of each type of flower Eliott will use to design his garden will be =the number of red roses = 5, the number of blue delphiniums = 15

Division is one of the major arithmetic operation that is used to know the number of groups that can be placed under data sets when shared.

The number of flowers that Eliott plans to plant = 20

The types of flower present = 2

The red roses = a

The blue delphiniums = 3a

To find the number of each flower planted, find a.

20 = 3a + a

20 = 4a

a = 20/4

a= 5

Therefore, the number of red roses = 5, The number of blue delphiniums = 3×5 = 15

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The median of the sample data is 18.5.

As per the question the given data is

13, 24, 28, 17, 22, 4, 8, 3, 102, 20

Median of the sample data is order the values of a data set of size n from smallest to largest. If n is odd, the sample median is the value in position (n + 1)/2; if n is even, it is the average of the values in positions n/2 and n/2 + 1.

Arrange the sample data in ascending order.

Sorted data : 3, 4, 8, 13, 17, 20, 22, 24, 28, 102

Since number of data are even, then median will be average of the two middle numbers we have number of data 10

Median=\(\frac{17+20}{2}\)

Median=\(\frac{37}{2}\)

Median=18.5

Therefore, the median is 18.50

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Answer:

c

Step-by-step explanation:

its c because i got 100% on the topic test

Answer:

42°

Step-by-step explanation:

∠NML = ∠ZYX =88°

Angles in a triangle add up to 180 so ∠ZXY =

180 - (50+88)

180-138

42

∠ZXY = 42°

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer: the number is 20, as the denominator 9 multiplied by 4 is 36. simply multiply the numerator by 4.

The room numbers of two adjacent classrooms are 359 and 361.

What is consecutive odd numbers?

Consecutive odd numbers are odd integers that are separated by 2 and come after one another.

Suppose the first odd number is x, then the another consecutive odd number is x + 2.

The sum of these two numbers is 720.

So,

x + (x + 2) = 720

2x + 2 = 720

2x = 718

x = 359

Therefore, the first odd number is 359 and the second add number is 361 which gives the sum 720.

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The velocity of the book after 5 seconds is -15 m/s (falling), the acceleration of the book at any time is -9.8 m/s², and the velocity of the book when it hits the water is approximately -30.68 m/s (negative value).

a. To find the velocity of the book after 5 seconds, we need to calculate the derivative of the height function \(\(h(t)\)\) with respect to time \((\(t\)).\) The derivative of \(\(h(t)\)\) gives us the rate of change of height with respect to time, which represents the velocity of the book.

Taking the derivative of \(\(h(t) = -4.9t^2 + 34t + 118\)\) with respect to \(\(t\),\) we get:

\(\(v(t) = \frac{dh(t)}{dt} = \frac{d}{dt}(-4.9t^2 + 34t + 118)\).\)

Differentiating each term separately, we have:

\(\(v(t) = -9.8t + 34\).\)

Now, we can substitute \(\(t = 5\)\) into the velocity equation to find the velocity of the book after 5 seconds:

\(\(v(5) = -9.8(5) + 34 = -49 + 34 = -15\) m/s.\)

Since the velocity after 5 seconds is -15 m/s (negative value), the book is falling at this point.

b. The acceleration of the book at any time \(\(t\)\) can be found by taking the derivative of the velocity function \(\(v(t)\)\) with respect to \(\(t\).\) Differentiating \(\(v(t) = -9.8t + 34\)\) with respect to \(\(t\),\) we get:

\(\(a(t) = \frac{dv(t)}{dt} = \frac{d}{dt}(-9.8t + 34)\).\)

The derivative of a constant term (34) with respect to \(\(t\)\) is zero, and the derivative of \(\(-9.8t\)\) with respect to \(\(t\) is \(-9.8\).\)

Therefore, the acceleration of the book at any time \(\(t\) is \(a(t) = -9.8\)\) m/s².

c. The velocity of the book when it hits the surface of the water can be found by setting the height function \(\(h(t)\)\) equal to zero and solving for \(\(t\).\) Since the book hits the water, the height is zero.

Setting \(\(h(t) = -4.9t^2 + 34t + 118\)\) equal to zero, we have:

\(\(-4.9t^2 + 34t + 118 = 0\).\)

Solving this quadratic equation, we can find the values of \(\(t\)\) when the height is zero. The two solutions represent the times when the book hits the water.

Using the quadratic formula, we get:

\(\(t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\),where \(a = -4.9\), \(b = 34\), and \(c = 118\).\)

Solving the equation, we find two values for \(\(t\): \(t_1 \approx 6.6\)\) seconds and \(\(t_2 \approx 16.4\)\) seconds.

Since we are interested in the time when the book hits the water, we take the positive value \(\(t = t_1 \approx 6.6\)\) seconds.

To find the velocity of the book at \(\(t = 6.6\)\) seconds, we substitute this value into the velocity equation:

\(\(v(6.6) = -9.8(6.6) + 34 \approx -64.68 + 34 \approx -30.68\)\) m/s.

Therefore, the velocity of the book when it hits the surface of the water is approximately -30.68 m/s (negative value).

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