A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round your answer to the nearest tenth. The perimeter of the fountain is about a feet.

Answer:

The answer to the statement provided is 46.

The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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Answer: 113 / 40

Step-by-step explanation:

Answer:

2 33/40

Step-by-step explanation:

Hope I helped

Answer:

15.5 ft

Step-by-step explanation:

C=2×pi×r

48.67=2×3.14×r

48.67÷(2×3.14)=r

r= 7.75 ft

diameter = 2× radius

diameter = 2× 7.75

d= 15.5

Hope this helps!

Answer:

$6.5 per bag

Step-by-step explanation:

The unit price is the total price divided by the weight

9.75/1.5 = 6.5

Answer:

Hopefully this is the answer but I got

6.25 or 6 ¼

Step-by-step explanation:

5 × 10⁴ = 5 × 10000= 50,000

8 ×10³ = 8 × 1000= 8000

50,000/8000 = 6.25 or 6 1/4

Large company (50k) is 6.25 times bigger than smaller(8k)

According to the combination method, there are 6 ways for the selection to be made if one worker is to be a receptionist, one a secretary, and one a technical typist.

Combinations:

A combination is all about grouping. The number of different groups which can be formed from the available things can be calculated using combinations.

The standard form for calculating the combinations is,

\(^{n}C_{r}=\frac{n!}{r!(n-r)!}\)

where,

0 ≤ r ≤ n.

This formula is sometimes also called as ncr formula.

Given,

An executive hires 3 office workers from 8 applicants.

Here we need to find how many ways can the selection be made if one worker is to be a receptionist, one a secretary, and one a technical typist.

Here we have to split the problem like the following,

We know that the total number of office workers is 3.

Like, if one worker is to be a receptionist, the the combination is like,

So, the value of n = 3 and r = 1.

Then, according to the ncr formula,

=> ³C₁ = \(\frac{3!}{1!(3-1)!}\)

=> 3!/1!2!

=> (3 x 2 x 1) / 1 x 2 x 1

=> 3

Similarly,  if one worker is to be a secretary,

Here the value of n = 2 (Because we have already select one person as receptionist) and r = 1

So,

=> ²C₁ = (2!)/1!(2-1)!

=> (2x1)/ 1 x 1

=> 2

Similarly,  if one worker is to be a technical typist,

Here the value of n = 1 (Because we have already select one person as receptionist) and r = 1

So,

=> ¹C₁ = 1

Therefore, the total number of possible ways are,

=> 3 x 2 x 1

=> 6

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You should add 4 gallons of juice to the drink.

A function is a relation between a dependent and a independent variable.

Given is a function that relates concentration of juice to the amount of 10% drink added.

The given function is -

y = (2 + 0.1x)/(2 + x)

Now, for the concentration of the drink to be 40% juice, we can write -

0.4 = (2 + 0.1x)/(2 + x)

2/5 (2 + x) = (2 + x/10)

4/5 + 2x/5 = 2 + x/10

2x/5 - x/10 = 2 - 4/5

4x/10 - x/10 = 2 - 4/5

3x/10 = 1.2

x = 12/3

x = 4

Therefore, you should add 4 gallons of juice to the drink.

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Answer:

molly is baking cookies. she baked 45 cookies and she needs to put a certain amount in 5 different boxes so that way everyone has an equal amount. how much cookies need to be in each box

Step-by-step explanation:

Answer:Joe is feeding cows and he has 45lbs of grass and there are 5 cows how much does each cow get fed?

Step-by-step explanation:

Answer: 39

Step-by-step explanation: All the numbers in organized order: 30, 32, 32, 36, 42, 43, 44, 45. The median is basically the middle of the numbers, and since we have 8 numbers, the middle of the eight numbers is 36, and 42. Now we add those 2 middle numbers together, and divide them by 2 so we can find the median of those 2 middle numbers. (36+42)/2 is equal to 39, so the final answer is 39.

Answer:

\(x = \frac{10}{\tan(52^o)}\)

Step-by-step explanation:

Given

See attachment for illustration

Required

Equation to find x

The relationship between angle \(52^o\) and side lengths x and 10 inches is by tangent formula which is given by:

\(\tan(\theta) = \frac{Opposite}{Adjacent}\)

So, we have:

\(\tan(52^o) = \frac{10}{x}\)

Make x the subject

\(x = \frac{10}{\tan(52^o)}\)

Answer:

Anna received 2 free apples

Step-by-step explanation:

no probm

Answer:

2? (I think) Not sure

Step-by-step explanation:

The scientific notation of mass 6,200,000 is 6.2 × 10⁶kg and 6.2 × 10⁹g

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form, since to do so would require writing out an unusually long string of digits.

It can be referred to as scientific form or standard index.

A mass of 6,200,00 kg can be written to index form by putting it to base of 10.

6200000/1000000

= 6.2 × 1000000 = 6.2 × 10⁶kg

1 kg = 10³ g

therefore;

6.2 × 10⁶kg = 6.2 × 10⁶kg × 10³

= 6.2 × 10⁹g

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To find the volume generated by revolving about the x-axis the region bounded by the curve y=√(3+x​) and the lines x=1 and x=9, we have to follow the given steps below: Step 1: The region will have a volume of the solid of revolution. Step 2: The axis of rotation will be the x-axis.

To determine the limits of integration, identify the interval for x. From the equation

x=1 and

x=9, we obtain

x=1 is the left boundary, and

x=9 is the right boundary. Step 4: Rewrite the given equation as:

y= f

(x) = √(3+x)Step 5: The required volume

V = ∏ ∫ a b [f(x)]^2 dx, where

a = 1 and

b = 9Step 6: Substituting the limits of integration in the above formula, we get,

Volume V = ∏ ∫1^9 [(√(3+x))^2] dx

We have to find the volume generated by revolving about the x-axis the region bounded by the curve

y=√(3+x​) and the lines

x=1 and

x=9.The given equation of the curve is

y=√(3+x​).Here,

f(x) =

y = √(3+x)The limits of x are 1 and 9 respectively, which means the limits of integration will be from 1 to 9.Volume

V = ∏ ∫1^9 [(√(3+x))^2] dxNow, simplify the integral as below:Volume

V = ∏ ∫1^9 [3+x] dxIntegrating the above integral, we get:Volume

V = ∏ [(x^2/2) + 3x] from 1 to 9Volume

V = ∏ [(81/2) + 27 - (1/2) - 3]Volume

V = ∏ [102]Hence, the required volume generated by revolving about the x-axis the region bounded by the curve y=√(3+x​) and the lines

x=1 and

x=9 is ∏ × 102, which is equal to 320.81 (approx).Therefore, the required volume is 320.81 cubic units.

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The equation is a shorthand method for writing a mathematical rule.

The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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Answer:

find is the Answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Identify the equation and its variables.

The equation can be any type of equation, such as a linear equation, quadratic equation, or polynomial equation. Identify the variables in the equation and label them.

2. Find a strategy for solving the equation.

Depending on the type of equation, there are various strategies for solving the equation. For example, a linear equation can be solved using the addition-subtraction method, a quadratic equation can be solved using the quadratic formula, and a polynomial equation can be solved using the synthetic division method.

3. Use the strategy to solve the equation.

Follow the steps of the chosen strategy to solve the equation. This may involve expanding the equation, factoring, or rearranging the equation.

4. Check the solution.

Once the equation is solved, check the solution by plugging the answer back into the equation and verifying that it works.

5. Review and summarize the steps.

Review the steps taken to solve the equation and summarize them in a few sentences. This will help with understanding and remembering the steps.

The maximum value of z is 410, which occurs at the corner point (10, 31). Thus, the optimal values of x and y are x = 10 and y = 31.

For a problem that involves maximizing or minimizing an objective function subject to certain constraints, we use a branch of mathematics called linear programming.

In linear programming, we use a set of variables to represent the quantities we are interested in and a set of linear equations or inequalities to represent the constraints. The objective is then to optimize a linear function of these variables, subject to the constraints.

To solve the given problem:

We are given the objective function z = 10x + 10y and three constraints:

5x + 8y > 95

16x - 9y > 131

x + y < 41

The first two constraints are inequalities, while the third one is an equation. To solve this problem, we need to find the values of x and y that maximize the value of z, subject to the given constraints.

We start by graphing the three constraints on a coordinate plane. We first draw the boundary lines of each constraint, which are given by:

5x + 8y = 95

16x - 9y = 131

x + y = 41

We then shade the regions of the plane that satisfy the inequalities:

For 5x + 8y > 95, we shade the region above the boundary line.

For 16x - 9y > 131, we shade the region above the boundary line.

For x + y < 41, we shade the region below the boundary line.

We now look for the region of the plane that satisfies all three constraints simultaneously. The shaded region in the diagram

To find the optimal values of x and y, we need to evaluate the objective function at each corner point of this region and choose the one that gives the highest value of z.

The corner points are the intersections of the boundary lines of the constraints. To find them, we solve each pair of equations:

5x + 8y = 95 and 16x - 9y = 131 gives x = 17.875 and y = 7.625

5x + 8y = 95 and x + y = 41 gives x = 10 and y = 31

16x - 9y = 131 and x + y = 41 gives x = 5.5 and y = 35.5

We now evaluate the objective function at each corner point:

At (17.875, 7.625), z = 10(17.875) + 10(7.625) = 257

At (10, 31), z = 10(10) + 10(31) = 410

At (5.5, 35.5), z = 10(5.5) + 10(35.5) = 410

Therefore, the maximum value of z is 410, which occurs at the corner point (10, 31). Thus, the optimal values of x and y are x = 10 and y = 31.

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Complete Question

Solve the following linear programming problem :

Maximize Z = 10x + 10y

subject to the constraints

5x + 8y > 95

16x - 9y > 131

x + y < 41

x, y > 0

Answer:

D

Step-by-step explanation:

Since D is 18x/9 , you can divide 18 by 9 and you end up with 2x

we have AB=AC, therefore the measure of \(\angle B=40^{\circ}=\angle C\)then

the sum of the angles of a triangle is 180°,

the measure of

Answer:

A, or 50.24 ft.

Step-by-step explanation:

Doing the equation above, we know the radius of the circle, which is 8 ft.

8ft times 2 is 16ft.

16ft times pi gives us (rounded) 50.24 ft.

Answer:

x = 35

Step-by-step explanation:

First, we need to add the angles on a straight line and subtract them by 180 (because angles on a straight line adds up to 180)

56 + 51 = 107

180 - 107 = 73

Now that we have found the angle of y, we can find the angle of x now. Because angles in a triangle adds up to 180, we have to add 72 and 73 now.

72 + 73 = 145

And now subtract it from 180

180 - 145 = 35

So x = 35

Answer:

16

Step-by-step explanation:

Number of attires Clara has initially = x

lends half her collection of formal attires to her sister

Attires remaining after lending = Number of attires Clara has initially - attires she lent her sister

= x - 1/2x

= 1/2x

Clara then buys four more attires

= 1/2x + 4

If she has 12 attires now

12 = 1/2x + 4

12 - 4 = 1/2x

8 = 1/2x

x = 8 ÷ 1/2

= 8 × 2/1

= 16

x = 16

Number of attires Clara has initially = x = 16

First, we subtract 2x on each side.

Then, we subtract 12 on each side.

We sum 7x on each side.

Then, we add 8 on each side.

At last, we divide the equation by 36.

First, we use the distributive property.

Then, we subtract 8x on each side.

Now, we add 10 on each side.

At last, we divide the equation by -4.

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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The answer of the given question based on the area of kite is ,  the area of the kite is 60unit².

A diagonal is a straight line connecting two non-adjacent vertices of a polygon or a polyhedron. In other words, it is a line segment that connects two corners of a shape that are not next to each other.

Diagonals play an important role in geometry, as they can be used to determine various properties of shapes. For instance, the length of the diagonal of a rectangle can be used to find its area and perimeter, and the length of the diagonal of a cube can be used to find its volume and surface area.

To find the area of a kite, we need to know the lengths of its two diagonals. Let d1 and d2 be  length of  two diagonals of  kite.

In this case, we know that the two diagonals have lengths 15 and 8. Let's label them as d1 = 15 and d2 = 8.

The area of kite can be calculated using formula:

Area = (1/2) x d1 x d2

Substituting  values of d1 and d2, we will get:

Area = (1/2) x 15 x 8

Area = 60

Therefore, the area of the kite is 60unit².

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Let x be the hottest temperature.

Equation: x - (-35.67) = 148.98

So,

x - (-35.67) = 148.98

=> x + 35.67 = 148.98

=> x = 148.98 - 35.67

=> x = 113.31

Step-by-step explanation:

hope it will help you...

Answer:

radius of cylinder = 1 cm

Step-by-step explanation:

Start with the formula for the volume of a cylinder:  V = (pi)r²h, where r is the radius and h is the height.  We want to solve this for the radius, r.

Dividing both sides of the Volume formula (above) by (pi)h, we get:

           V

r² = -----------

        (pi)h  

If we now substitute 12.56 cc for V, 3.14 for pi and 4 cm for h, we get:

          V           12.56 cc

r² = ---------- = ----------------- = 1 cm²

       (pi)h         3.14(4 cm)

Taking the square root of both sides, we get    r = 1 cm