An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 13 more than two times the length of the bottom of the triangle. The last side is 11 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

Step-by-step explanation:

Isolate by the x from one side of the equation.

First, you have to switch sides.

\(\sf{2+x\geq 26}\)

Then, subtract by the 2 from both sides.

\(\sf{2+x-2\geq 26-2}\)

Solve.

Subtract.

\(26-2=24\)

\(\large\boxed{x\geq 24}\)

The answer should be false.

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Answer:

a₄=8n+1= -39.

Step-by-step explanation:

1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then

2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.

3) if n=-5, then the 4th term is:

\(a_4=\frac{a_5+a_3}{2}; \ = > \ a_4=\frac{11n+8+5n-6}{2}=8n+1;\)

or a₄=-39.

Answer:

2.5 days

Step-by-step explanation:

To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.

Given:

15 people working 5 hours per day can make 30 units of the product in 10 days.

From this information, we can calculate the work rate of these 15 people:

Work rate = Total units of the product / (Number of people × Number of hours × Number of days)

Work rate = 30 units / (15 people × 5 hours × 10 days)

Work rate = 0.04 units per person per hour

Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.

Using the work rate formula:

Number of days = Total units of the product / (Number of people × Number of hours × Work rate)

Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)

Number of days = 2.5 days

Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.

The correct answer is:

2.5 days

Answer:

Step-by-step explanation:

Given system:

Divide both sides of the second equation:

We got both equations same.

It means the lines representing the equations overlap, the system has infinitely many solutions.

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

-22

Step-by-step explanation:

Order of Operations:

Parenthesis

Exponents

Multiplication and Division

Addition and Subtraction

First, you need to do parenthesis first so inside the parenthesis is 2+4 which is 6

Now the equation looks like this:

5 x 6-52

Since there are no exponents we can skip that step, next is multiplication so 5 x 6 is 30 so the equation now looks like this:

30-52

Subtract and you will have

-22

Hope this helps!

The numbers are written in their standard and scientific notations as follows. Fill in the missing values accordingly.

3.0 * 10⁴ = 3000

6.79 * 10⁻³ =  0.00679

0.0216 = 2.16 * 10⁻²

9.02 * 10⁷ = 90200000

1000000 = 10⁶

1.02 * 10⁻⁵ = 0.0000102

0.000723 = 7.23 * 10⁻⁴

9.99 * 10⁹ = 990000000

56000 = 5.6 * 10⁴

Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It is also called standard form or standard index form e.g  1000000 = 10⁶ and 0.0001 = 10⁻⁴

3.0 * 10⁴ = 3.0 * 10000 = 3000

6.79 * 10⁻³ = 6.79 * 0.001 = 0.00679

0.0216 = 2.16 * 10⁻²

9.02 * 10⁷ = 9.02 * 10000000 =  90200000

1000000 = 10⁶

1.02 * 10⁻⁵ =  1.02 * 0.0001 = 0.0000102

0.000723 = 7.23 * 10⁻⁴

9.99 * 10⁹ = 990000000

56000 = 5.6 * 10⁴

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\( \bf \underline{Given :-}\)

\( \\ \\ \)

\( \bf \underline{ To \: find:-}\)

\( \\ \\ \)

\( \bf \underline{Solution:-}\)

Strongly recommend to keep up with Digram , as name of sides are based according to Digram.

As we know soccer feild is rectangle , therefore ∠A = ∠B = ∠C = ∠D = 90°

Now as we have to just find value of diagonal AD therefore just focus on triangle ACD.

we know ∠C = 90° , triangle ACD. is a right angled triangle.

\( \\ \\ \)

\( \bigstar \boxed{ \rm Hypotenuse^2 = Base^2 + Perpendicular^2}\)

Here :-

Hypotenuse = AD

Base = CD

Perpendicular = AC

\( \\ \)

Therefore :-

\( \\ \)

\( \dashrightarrow\sf AD^2 =CD^2 + AC^2 \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf AD^2 =(130)^2 + (80)^2 \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf AD^2 =130 \times 130 + (80)^2 \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf AD^2 =16900+ (80)^2 \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf AD^2 =16900+80 \times 80 \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf AD^2 =16900+6400\\ \)

\( \\ \\ \)

\( \dashrightarrow\sf AD^2 =23300\\ \)

\( \\ \\ \)

\( \dashrightarrow\sf AD= \sqrt{23300} \\ \)

\( \\ \\ \)

\( \dashrightarrow\bf AD =152.643 \: yds\\ \)

\( \\ \\ \)

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer: D. 18

Step-by-step explanation:

Euler's formula is Faces + Vertices = Edges + 2

Faces = Edges - vertices + 2

Faces = 39-23 + 2 = 18

Euler's formula is given by the formula F + V = E + 2. The number of faces in the given object is 18.

Euler's formula is given by the formula F + V = E + 2, in which F is the number of faces, V is the number of vertices, and E is the number of edges. For instance, a cube fits this formula since it has 6 faces, 8 vertices, and 12 edges.

The number of vertices and edges in the object is 23 and 39, respectively. Therefore, using Euler's formula the number of faces can be written as,

F + V = E + 2

F + 23 = 39 + 2

F = 39 + 2 - 23

F = 18

Hence, the number of faces in the given object is 18.

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Answer:

2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

x=2x+8/x

x-2x=8/x

-x=8/x

8=-x(x)

8=-x^2

8-(-x^2)=0

8+x^2=0

x^2+8=0

x=2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

\(x = \frac{2x + 8}{x} \)

\( {x}^{2} = 2x + 8\)

\( {x}^{2} - 2x - 8 = 0\)

\((x - 4)(x + 2) = 0\)

\(x = 4\)

or

\(x = - 2\)

Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

Answer: 43.2 miles/hour

Step-by-step explanation:

Answer:

The group that has greater value of relative dispersion is the smokers group, as the coefficient of variationof their data is bigger than the coefficient of variation of the non-smokers group data.

CV smokers: 0.387

CV non-smokers: 0.234

Step-by-step explanation:

We will calculate the relative dispersion of each data set with its coefficient of variation (ratio of the standard deviation to the arithmetic mean).

Then, first we calculate the mean and standard deviation for the smokers data:

Mean: 43.7

Standard deviation: 286.5

\(M_s=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_s=\dfrac{1}{12}(69.3+56+22.1+47.6+53.2+. . .+13.8)\\\\\\M_s=\dfrac{524.4}{12}\\\\\\M_s=43.7\\\\\\s_s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_s)^2\\\\\\s_s=\dfrac{1}{11}((69.3-43.7)^2+. . . +(13.8-43.7)^2)\\\\\\s_s=\dfrac{3152}{11}\\\\\\s_s=286.5\\\\\\\)

The mean and standard deviation for the non-smokers is:

Mean: 30.3

Standard deviation: 50.9

\(M_n=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_n=\dfrac{1}{15}(28.6+25.1+26.4+34.9+28.8+. . .+13.9)\\\\\\M_n=\dfrac{453.8}{15}\\\\\\M_n=30.3\\\\\\s_n=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_n)^2\\\\\\s_n=\dfrac{1}{14}((28.6-30.3)^2+. . . +(13.9-30.3)^2)\\\\\\s_n=\dfrac{713.3}{14}\\\\\\s_n=50.9\\\\\\\)

Now, we can calculate the coefficient of variation:

CV smokers:

\(CV_s=\dfrac{s_s}{M_s}=\dfrac{16.9}{43.7}=0.387\)

CV non-smokers:

\(CV_n=\dfrac{s_n}{M_n}=\dfrac{7.1}{30.3}=0.234\)

√10 · √6 = √(10 · 6) =

= √60 = √(4 · 15) = √(2² · 15) = 2√15

Answer:

45 people

Set up a proportion.

7/2 = x/10

cross multiply

We get 2x=70

x= 35

Children= 35

35 children + 10 adults= 45 people

Answer:

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we have:

V = (1/3)π(10 mm)^2(6 mm)

V = (1/3)π(100 mm^2)(6 mm)

V = (1/3)π(600 mm^3)

V = 200π mm^3

Using a calculator to approximate π to 3.14, we get:

V ≈ 628.32 mm^3

Therefore, the answer is O 628 mm³.

The top angle is right (90 degrees, kinda looks like a bent elbow).

The 2nd is acute (smaller than 90, kind of 'cute' bc it's small).

The 3rd is obtuse (greater than 90, I have nothing corny to say, sorry).

4th is acute.

5th is straight because it's a straight line.

6th is also obtuse.

Have a good day :)

Answer:

3/2

Step-by-step explanation:

make into a improper fraction

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Step-by-step explanation:

a probability is always desired cases over total possible cases.

so, we have actually 8 systems (5 + 3) we can pick from.

therefore, the total possible cases are 8.

the desired case is in this question to pick one of the 3 Wii consoles.

the probability to pick a Wii is therefore

3/8 = 0.375

Answer:

3/8, or 37.5%

Step-by-step explanation:

There are 8 different playing devices there.

There are only 3 Nintendo Wii consoles.

So, the probability is 3/8

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

227.75 cm

Step-by-step explanation:

a coin (Circle) with diameter 2.9cm

(radius) r = diameter ÷ 2

r = 2.9cm ÷ 2

r = 1.45cm

1 complete revolutions (perimeter or circumference of a circle ) = 2πr

= 2 × π × r

where r = radius, π is a constant = 22/7

= 2 × 22/7 × 1.45

= 9.11cm

thus in one complete revolution the coin travels a distance of 9.11cm.

therefore in 25 complete revolutions the coin will travel a distance of = 25 × 9.11 cm = 227.75 cm.

The distance covered in complete 25 revolutions of a coin with diameter of 2.9 when it's rolled is = 227.75 cm

Sharon's employer deducts taxes from her salary to pay the federal government directly, which is a type of payroll tax. Nelson's company pays taxes based on a percentage of profits for the year, which is a type of corporate tax.

Priscilla pays more than the value listed on the price tag of a summer dress, which is a type of sales tax. Lincoln pays taxes directly to the government for the land he owns, which is a type of property tax.

Payroll taxes are levied on the earnings of employees and are used to fund social security, Medicare, and other federal and state programs. Corporate taxes are taxes on the profits earned by businesses.

Sales taxes are levied on the price of goods or services sold to consumers. Property taxes are levied on real estate owned by individuals or businesses based on the assessed value of the property.

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Answer:

x = 3

Step-by-step explanation:

7(x + 1) + 2 = 5x + 15

~Simplify left side

7x + 7 + 2 = 5x + 15

~Combine like terms

7x + 9 = 5x + 15

~Subtract 9 to both sides

7x = 5x + 6

~Subtract 5x to both sides

2x = 6

~Divide 2 to both sides

x = 3

Best of Luck!

Answer:

2800

Step-by-step explanation:

The closest 100 to 2775 is 2800

Answer:

The answer is 2800

Step-by-step explanation:

Now,

2775

Here, The last digit is 5 and last second digit is 7 which is more than 5

So, write 0 at the place of 5 and add 1 to the 7 i.e., 7 + 1 = 8 we get, 2780

Again, The last second digit is 8 and last third digit is 7 which is more than 5

So, write 0 at the place of 8 and add 1 to the 7 i.e., 7 + 1 = 8 we get, 2800

Thus, The answer is 2800

If you want to know it's nearest thousand value than the value will be 3000.

-TheUnknownScientist 72