A rotating sprinkler that sprays water at a radius of 5 feet is used to water a lawn. Determine the area of the lawn that is watered. Use 3.14 for π.

Steps per mile is a measure of how many steps a person takes to walk one mile, Which is 2000 steps.

It takes over 2,000 steps to walk one mile and 10,000 steps would be almost 5 miles, as the average person has a stride length of approximately 2.1 to 2.5 feet.

The number of steps required to walk a mile can vary from person to person depending on their height, weight and stride length. And Generally, taller people with longer strides take fewer steps per mile, while shorter people with shorter strides take more steps per mile.

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In metric system distance measured by using kilometres and miles units. Thus, the conversion of one kilometre to mile is equals to the 0.62137119 miles.

To convert from one unit to another, multiply by a conversion factor. Typically, conversion from kilometers to miles is a conversion of distance from kilometers to miles. Kilometers and miles are used to measure the length from one point to another. In the metric system, the kilometer is a unit of length and is considered the International System of Units, while the mile is used as an English and US customary unit. One kilometer is abbreviated as "km" and one mile is abbreviated as "mi". These two measurements are mainly used to measure the geographical area of land. The following conversion values are used to convert distance measurements from kilometers to miles: 1 kilometer = 0.62137119 miles. A conversion factor is required to convert kilometers to miles. This means that 1 km is approximately equal to 0.62137119 miles.

Hence, required value is 0.62137119 miles.

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In order to expand and simplify an expression, we need to multiply out the brackets and then simplify the resulting expression by collecting the like terms. Expanding brackets is the process by which we remove brackets. It is the reverse process of factorization.

To expand and simplify a binomial, use the distributive property. The distributive property states that for any two binomials, the product of each term in the first binomial and each term in the second binomial should be added together to get the expanded form of the expression.

For example, the binomial (2x + 3)(4x + 7) can be expanded using the distributive property by multiplying each term of the first binomial with each term in the second binomial. This gives us:

(2x × 4x) + (2x × 7) + (3 × 4x) + (3 × 7)

And simplifying this expression yields 8x² + 14x + 21.

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One liter equals 1000 milliliters.

Answer:

One liter equals 1000 milliliters.

Step-by-step explanation:

A liter (L) and a milliliter (mL) are both units of volume in the metric system. One liter is defined as the volume of a cube with edges that are 10 centimeters in length, which is equivalent to 1000 cubic centimeters (cm^3). A milliliter, on the other hand, is equal to one-thousandth of a liter, which means there are 1000 milliliters in one liter.

In other words, if you have one liter of water in a container, you could pour it into a smaller container that measures in milliliters, and it would fill exactly 1000 mL.

The image of the transformation is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we can see that

The horizontal line is the axis of rotation

Using the above as a guide, we have the following:

The image of the transformation would be a reflection of the original figure on the other axis

See attachment for the image of the transformation

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Answer: Half the side of NL from the original figure.

Step-by-step explanation:

When it is a scale factor of 1/2 all the sides are halved there fore nl is halved.

Answer: 60%

Step-by-step explanation:

In order to find the percentage, we need to find the sum of the espressos ordered.

57 + 38 = 95

95 will be our denominator, and since we are trying to find the percentage of the single-shot, our numerator is going to be 57 because that is how many sold.

57 / 95

Now we can divide 57 by 95 to get the percent of single shot espressos to get an answer of 60%

Based on the data, it can be inferred that the magnitude and direction of PQ is 9.5 north of east for 6.1 miles (option D).

To identify the magnitude and direction of the plane, we must carefully look at the information in the graph and identify the option that corresponds to the information.

So, we can say that this is moving from the south to the north and from the west to the east, so options A and C would be ruled out. Now we must identify the magnitude and degrees. Taking a completely horizontal line as a reference, we could say that the plane has 9.5 degrees in its trajectory. So the correct option would be D.

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The scalars c1 = 2/5, c2 = -3/5, and c3 = -8/5 satisfy the equation:

c1M1 + c2M2 + c3M3 = [ 2 3 ][ 1 2 ]

We want to find the scalars c1, c2, and c3 such that:

c1M1 + c2M2 + c3M3 = M

Substituting the given matrices:

c1[ 2 2 ] c2[ -1 1 ] c3[ 1 2 ] [ 2 3 ]

[ 1 1 ] [ 2 1 ] [ 3 1 ] [ 1 2 ]

Multiplying each scalar by its corresponding matrix:

[ 2c1 - c2 + c3 2c1 + 2c2 + 3c3 ]

[ c1 + 2c2 + 3c3 c1 + c2 + 2c3 ]

Setting the result equal to M:

[ 2c1 - c2 + c3 2c1 + 2c2 + 3c3 ] = [ 2 3 ]

[ c1 + 2c2 + 3c3 c1 + c2 + 2c3 ] [ 1 2 ]

This gives us two equations:

2c1 - c2 + c3 = 2

2c1 + 2c2 + 3c3 = 3

c1 + 2c2 + 3c3 = 1

c1 + c2 + 2c3 = 2

We can solve this system of equations using any method we prefer, such as elimination or substitution. Here, we will use elimination.

Subtracting the first equation from the second, we get:

3c2 + 4c3 = 1

Subtracting the third equation from fourth, we get:

c2 - c3 = 1

Multiplying second equation by 2, we get:

4c1 + 4c2 + 6c3 = 6

Subtracting first equation from this, we get:

5c2 + 5c3 = 4

Now we have three equations for c2 and c3:

3c2 + 4c3 = 1

c2 - c3 = 1

5c2 + 5c3 = 4

Solving for c2 and c3 using elimination, we get:

c2 = -3/5

c3 = -8/5

Substituting these values into the third equation, we get:

c1 = 2/5

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Answer: x=15

Step-by-step explanation:

3x+5=50

3+5=50

Subtract the numbers

3x+5-5=50-5

3x/3=45/5

x=15

In a data set, the number of elements will always be the same as the number of observations.

An observation is a single measurement or record of a particular variable or event. In a data set, observations are typically organized into rows, with each row representing a single observation.

The number of observations in a data set corresponds to the number of times the data was measured or recorded.

On the other hand, a data point can refer to a single value within a data set, or a combination of values if the data set contains multiple variables.

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The area below the curve is equal to 10 - 3π / 2 square units. (Correct choice: B)

In this problem we need to determine the area below the curve for the interval x ∈ [- 4, 7]. Mathematically speaking, this area can be found by means of definite integrals. Given that we find a piecewise function formed by five expressions, the area is the sum of several subintervals.

The areas can be represented by using the following area formulas:

Triangle

A = 0.5 · w · l

Semicircle

A = 0.5π · R²

Rectangle

A = w · l

Where:

Please notice the area above the x-axis is positive and the area below the x-axis is negative. Finally, we find the net area below the curve:

A = 0.5 · 2 · 2 - 0.5π · 2² + 0.5 · 2 · 2 + 2 · 2 + 0.5π · 1² + 1 · 2

A = 2 - 2π + 2 + 4 + 0.5π + 2

A = 10 - 1.5π

A = 10 - 3π / 2

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The area of the base is 0.7547 m², the curved surface area is 2.201 m², and the volume is 0.630 m³.

To calculate the area of the base, we use the formula for the area of a circle:

Area of base = πr²

where r is the radius of the circle.

Area of base = π(0.49m)²

Area of base = 0.7547 m²

To calculate the curved surface area, we first need to calculate the slant height of the poly tank. We can use the Pythagorean theorem to find this value:

Slant height = √(height² + radius²)

Slant height = √(0.9m² + 0.49m²)

Slant height = 1.05 m

Now we can use the formula for the curved surface area of a cylinder:

Curved surface area = 2πrh

where r is the radius of the cylinder and h is the height of the cylinder.

Curved surface area = 2π(0.49m)(0.9m)

Curved surface area = 2.201 m²

To calculate the volume of the poly tank, we use the formula for the volume of a cylinder:

Volume = πr²h

Volume = π(0.49m)²(0.9m)

Volume = 0.630 m³

Therefore, the area of the base is 0.7547 m², the curved surface area is 2.201 m², and the volume is 0.630 m³.

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the contact force between the block and the plane is equal to the normal force, which is equal to the weight of the block (mg) multiplied by the cosine of the angle of inclination (θ). Therefore, the contact force between the block and the plane is mg cosθ.

The contact force between the block and the plane can be determined by analyzing the forces acting on the block.

First, we need to consider the forces acting on the block in the direction parallel to the inclined plane. Since the block is moving with uniform speed, the forces in this direction must be balanced. The forces in this direction are the force due to gravity acting down the inclined plane (mg sinθ) and the frictional force acting up the inclined plane (μmg cosθ). Therefore, we have:

mg sinθ = μmg cosθ

Simplifying this equation, we get:

μ = tanθ

This means that the coefficient of friction between the block and the plane is equal to the tangent of the angle of inclination.

Next, we need to consider the forces acting on the block in the direction perpendicular to the inclined plane. Since the block is not accelerating in this direction, the forces in this direction must also be balanced. The forces in this direction are the normal force acting up the inclined plane (N) and the force due to gravity acting vertically down (mg cosθ). Therefore, we have:

N = mg cosθ

So, the contact force between the block and the plane is equal to the normal force, which is equal to the weight of the block (mg) multiplied by the cosine of the angle of inclination (θ). Therefore, the contact force between the block and the plane is mg cosθ.

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The height of 164.8 centimeter after conversion to feet is equivalent to  5.41 feet .

The various measurements units that are used in measuring the height of an object are , centimeter (cm) , meter (m) , feet , inches .

We have to convert the height of 164.8 cm to feet ;

we know that , 1 centimeter is = 0.0328 feet ;

So , we multiply the units given in centimeter by 0.0328 ,

On multiplying 164.8 cm by 0.0328 ;

We get ;

⇒ 164.8 centimeter = 164.8 × 0.0328 ;

⇒ 164.8 centimeter = 5.40544 feet ≈ 5.41 feet ;

Therefore , 164.8 cm is approximately equal to 5.41 feet .

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Answer: where do i answer where is the question?

Step-by-step explanation:

The substitution method calculator online shows the substitution method's result for the pair of linear equations.

One way to solve a system of linear equations with one or more unknown variables in mathematics is the substitution method. For the purpose of solving simultaneous equations, the substitution method is regarded as an algebraic technique. By resolving the equations, this method allows one variable's value to be determined. Any of the preceding equations can be solved by replacing the first variable's value for another variable.

The substitution technique calculator should be used as follows:

Step 1: Type the linear equations' coefficients into the input field.

Step 2: Then, select "Solve" to see the outcome.

Step 3: Lastly, the output field will show the value of the variables x and y in the linear equations solved using the substitution approach.

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There are 2.47105 acres in 1 hectare.

An acre is a common unit of measurement in the United States and other countries. One acre equals 43,560 square feet (4,047 square metres).

In contrast, a hectare is a metric unit of area that is widely used in many countries. One hectare equals 10,000 square metres (2.47105 acres).

You can use the conversion factor of 1 acre = 0.4047 hectares or 1 hectare = 2.47105 acres to convert acres to hectares.

Simply multiply the number of acres by 0.4047 to convert from acres to hectares. Similarly, multiply the number of hectares by 2.47105 to convert the number of hectares to acres.

To convert a given number of acres to hectares using mathematical terms, you can use the formula:

Hectares = Acres × 0.4047

In this formula, "Acres" is the number of acres you want to convert to hectares, and "Hectares" is the equivalent area in hectares.

Similarly, to convert a given number of hectares to acres using mathematical terms, you can use the formula:

Acres = Hectares × 2.47105

In this formula, "Hectares" is the number of hectares you want to convert to acres, and "Acres" is the equivalent area in acres.

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Answer:

b = 70 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees.

We know 2 angles, one is 80 degrees, and one is 30 degrees.

80 + 30 = 110 degrees.

180 - 110 = 70 degrees

So, b = 70 degrees.

Answer:

If there is a 25% chance that a customer who purchases milk will also purchase bread. the probability of a milk purchase is 70%.  the probability that a customer will purchase bread given that they purchase milk is 36%.

How to find the probability?

Using this formula to find the probability that a customer will purchase bread given that they purchase milk

P(B | M) = P(M / B) / P(M)

Let plug in the formula

P(B | M) = 0.25 / 0.70

P(B | M) = 0.3571 ×100

P(B | M) = 36% (approximately)

Therefore the probability is 36%.

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Answer:

x=-10, PR=10.

Step-by-step explanation:

(x+15)/(x+20)=1/2 => 2(x+15)=x+20 => x=-10. PR=20-10=10.

Answer:

A. (2,3)

Step-by-step explanation:

2,3 is a solution, because it is marked on the graph. We can also tell because they are solutions for both the marked lines.

Answer:

2,3 is the answer

Step-by-step explanation:

on graph

A) The hiker traveled 6.0 miles on the first day.

B) [tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

C)  The total number of miles the hiker will travel in 14 days≈168 miles.

Series and sequence are the basic ideas in mathematics. A sequence is an ordered group of elements where repetitions of any kind are allowed, as opposed to a series, which is the sum of all components.

The distances are organized geometrically, with the first term being a1 and the common ratio being (1 + 10%) = 1.10.

The sum of the seven terms in the series is...

 S7 = a1·(r^7 -1)/(r -1)

 56.923 = a1·(1.1^7 -1)/(1.1 -1)

 5.6923 = a1·0.9487171

Its value is obtained by dividing by the coefficient of a1:

 5.6923/0.9487171 ≈ 5.999997 ≈ 6.000

The hiker traveled 6.0 miles on the first day.

Equation for Sn,

[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

where ,

a= first term

r=common ratio

n=number of terms

[tex]S_{14} =\frac{6(1.1^{14}-1)}{1.1-1} \\\\S_{14}=167.84[/tex]

The total number of miles the hiker will travel in 14 days≈168 miles

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Using the Pythagorean theorem we get the value of the missing leg BC in the triangle is 6 miles.

Since AC is the hypotenuse and AB is one of the legs of the right-angled triangle ABC, BC is the other leg. Using the Pythagorean theorem, we have:

BC² = AC² - AB²

When we replace the values in the problem, we obtain:

BC²= 10² - 8²

BC² = 100 - 64

BC² = 36

The result of taking the square root of both the sides is:

BC = 6

Therefore, the value of the missing leg BC in the triangle is 6 miles. The Pythagorean Theorem is a fundamental concept in mathematics that relates to right-angled triangles. This theorem is named after the ancient Greek mathematician Pythagoras, who is credited with discovering it. The hypotenuse is the side of a right-angled triangle that is opposite the right angle. It is the longest side of the triangle and is always opposite the largest angle. The hypotenuse is important because it determines the size of the triangle and is used in many calculations involving right-angled triangles. The Pythagorean Theorem is used in various fields such  as engineering, physics, and construction. It is a basic tool for calculating distances and determining whether or not a triangle is a right-angled triangle.

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Answer: 31/18.

Step-by-step explanation:

To add these fractions, we need to find a common denominator. In this case, the least common multiple of 3, 6, and 9 is 18. We can convert each fraction to an equivalent fraction with a denominator of 18, and then add the numerators:

8/9 + 2/3 + 1/6

= (8/9) * (2/2) + (2/3) * (6/6) + (1/6) * (3/3) (Multiplying each fraction by a form of 1 to obtain a common denominator of 18)

= 16/18 + 12/18 + 3/18 (Simplifying each fraction by multiplying the numerators)

= 31/18 (Adding the simplified numerators)

Therefore, the sum of 8/9, 2/3, and 1/6 is 31/18.

The linear system Ax = b is called homogeneous if b = 0; otherwise, it is called inhomogeneous. When all of the constant terms in a system of linear equations are zero, the system is said to be homogeneous. The related homogeneous system of a nonhomogeneous system is obtained by setting the constant term in each equation equal to zero.

There is always one solution, the zero vector, to a homogeneous system. A homogeneous system that has undergone a row operation maintains its homogeneity. It is significant to notice that we frequently exclude the final column of constant terms when representing a homogeneous system as a matrix since row operations would not change that column. So, rather than using an augmented matrix, we employ a standard matrix. There could be no specific solution and an empty solution set in the nonhomogeneous system. In a nonhomogeneous linear system of n equations in n variables, the origin is not always present at the intersection of the solution sets. Although an infinite intersection is still theoretically possible, a single point is still the most likely scenario for the intersection. But, there is also the chance of an empty intersection, which has no solution, as might occur, for instance, when intersecting two parallel lines.

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To find the minimum score you would need to be in the top 4%, we need to use the standard normal distribution and the given z-score.

First, we find the z-score corresponding to the top 4% using a standard normal distribution table or a calculator:

z = invNorm(1 - 0.04) = invNorm(0.96) = 1.7507 (rounded to four decimal places)

The minimum score needed to be in the top 4% is the score that corresponds to this z-score in the distribution of exam scores. We can use the formula for standardizing a normal random variable to find this score:

z = (X - μ) / σ

where X is the exam score, μ is the mean of the exam scores, and σ is the standard deviation of the exam scores.

Solving for X, we get:

X = zσ + μ = 1.75076.1 + 76.4 = 87.46

Therefore, the minimum score you would need to be in the top 4% is approximately 87.46 points.

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Answer:

Step-by-step explanation:

csc and sin are inverses of one another, therefore, c is the correct statement.

The surface area of the square base pyramid is 736 cm².

Surface area is the amount of space covering the outside of a three-dimensional shape. The surface area of a solid object is a measure of the total area that the surface of the object occupies.

here, we have,

Surface area = A + 1 / 2 ps

where

A = base area

p = perimeter of the base

s = slant height

Therefore,

A = 16² = 256 cm²

p = 4(16) = 64 cm

s = 15 cm

surface area = 256 + 1 /  2 × 64 × 15

surface area = 256 + 480

surface area = 736 cm²

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