Write an equation you could use to find the length of the missing side of each right triangle. Then find the missing length. Round to the nearest tenth If necessary.

a = 48 yd; b = 55 yd

Thus, based on the trend and seasonal factors, we can forecast that Tucson Machinery, Inc. will sell $42 million worth of numerically controlled machines in 2010.

Tucson Machinery, Inc.'s sales data for the past two years can be used to forecast sales for 2010.

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Answer:

Arc length = The measure of the arc's angle in radians * The radius of the circle where the arc is in

Otherwise known as

Arc length = theta * radius = Θ * r

For the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to

7 : 3.

As given in the question,

Probability of any particular event occurring is equal to 7 /10

Probability of any particular event not occurring is = 1- (7/10)

                                                                                    = (10 -7) /10

                                                                                    = 3/10

Probability of the odds favoring the events which are not occurring

= (7 /10) / (3/10)

= ( 7 × 10) / (3 × 10)

= 7 /3

Odds favoring the events which are not occurring in the form a: b

= 7 : 3

Therefore, for the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to 7 : 3.

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The two 2 digit number Mumtaz chose are 70 and 33, which when further divided by the other number gives 2.12121212

We need to find the two 2 digit numbers used by Mumtaz

Therefore we let x be = 2.12121212........(1)

then, we can say that x = 2 + 0.12121212

then taking 2 as a whole and making the rest fraction we get, x = 2 + \(\frac{12}{99}\)

then x =\(\frac{198+n}{99}\)

then simplifying this we get x = \(\frac{210}{99}\)

so therefore we can say that we know, x = \(\frac{70}{33}\)

clearly it shows that when divided it gives,  \(\frac{70}{33}\) = 2.12121212

therefore, we know that when 70 divided by 33 gives 2.12121212

hence, the numbers used my Mumtaz are 70 and 33

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Answer:

Step-by-step explanation:

√2, √3 are irrational numbers.

√4  = 2 is not irrational.

Therefore, the AAA test of congruency demonstrated that ABE is Congruence to CDE.

Something that is "exactly equal" in terms of size and shape is referred to as congruent. No matter which way we spin, flip, or rotate the shapes, they remain accurate. For instance, you may draw two circles with the same radius, cut them out, and stack them.

In this case, we are aware that AB ll DC - GIVEN

In light of the characteristic of parallel lines,

Let's recall the property of parallel lines:-

"When the pair of alternating angles equals one another, two straight lines become parallel."

Alternate angles are angle ABE and angle CDB.

angle BAE ≅ angle DCE -{alternate angles}

E is a midway, given that.

According to the midpoint theorem, opposite angles are congruent when angle AES and angle CED are compared.

Here, we may see the congruency test from AAA.

Hence its proved that ∆ABE ≅ ∆CDE by AAA test of congruency.

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Answer:

1 yard = 3 miles

In 3 yards there are 9 feet, an additional of 2 feet would be 11 feet in total

11 feet.

3 yards x 3 feet(one yard) = 9 feet, add 2 = 11.

Answer:

11 ft

Step-by-step explanation:

3 yards = 9 feet

9ft + 2ft = 11ft

Have a good day!

Sarah will have approximately 365,531.2 lbs of usable forage as part of her sustainable management plan.

The first step to calculate the total annual production on Sarah's ranch is to determine the production from each plant community.

For the rhizomatous wheat/green needlegrass community, which covers 61% of the ranch, the production is 1000 lbs/acre. Therefore, the total production from this community is:

1000 lbs/acre x 61% x 11,845 acres = 721,045 lbs/year

For the Big Sagebrush community, which covers 29% of the ranch, the production is 500 lbs/acre. Therefore, the total production from this community is:

500 lbs/acre x 29% x 11,845 acres = 170,925 lbs/year

For the blue grama sod community, which covers 10% of the ranch, the production is 600 lbs/acre. Therefore, the total production from this community is:

600 lbs/acre x 10% x 11,845 acres = 71,070 lbs/year

To find the total annual production on Sarah's ranch, we add up the production from each community:

721,045 lbs/year + 170,925 lbs/year + 71,070 lbs/year = 962,040 lbs/year

Now, moving on to why Sarah cannot use all of the plant biomass produced. One reason is that some of the biomass is needed to maintain healthy range condition. Removing all the biomass can lead to overgrazing and degradation of the range. Additionally, leaving some biomass behind ensures there is enough plant material for wildlife habitat, soil stabilization, and regrowth.

If Sarah decides to use 38% of her total biomass produced, the amount of usable forage can be calculated as follows:

38% x 962,040 lbs/year = 365,531.2 lbs/year

Therefore, Sarah will have approximately 365,531.2 lbs of usable forage as part of her sustainable management plan.

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Answer:

  x = 10

Step-by-step explanation:

Perhaps you want the solution to the equation -5(-1x +6) -1x = 1x.

It usually works well to simplify the equation as a first step.

  -5(-1x +6) -1x = 1x . . . . . . given

  5x -30 -1x = 1x . . . . . eliminate parentheses using the distributive property

We want to collect the variable terms on one side of the equation, and the constant terms on the other side. Along the way, we want to make the coefficient of x be 1.

  3x -30 = 0 . . . . . . subtract 1x and collect terms

  x -10 = 0 . . . . . . divide by 3

  x = 10 . . . . . . add 10

We can put this value of x in the original equation to see if it gives a true statement.

  -5(-1(10) +6) -1(10) = 1(10)

  -5(-10 +6) -10 = 10

  -5(-4) -10 = 10

  20 -10 = 10 . . . . . . . true

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Let's simplify the given expression step by step:

-5(-1x + 6) - 1x = 1x

Step 1: Distribute -5 to the terms inside the parentheses:

5x - 30 - 1x = 1x

Step 2: Combine like terms on the left side of the equation:

4x - 30 = 1x

Step 3: Move all terms involving x to one side of the equation:

4x - 1x = 30

Step 4: Combine like terms:

3x = 30

Step 5: Solve for x by dividing both sides of the equation by 3:

x = 30 / 3

Step 6: Simplify the right side:

x = 10

Therefore, the solution to the equation -5(-1x + 6) - 1x = 1x is x = 10.

Answer:

2280

Step-by-step explanation:

The function used to represents the time spend by Jasmine in biking for a distance of d miles is given by f(d) = d / 18.

The time Jasmine spends biking is indeed a function of the distance she bikes.

The formula to calculate the time Jasmine takes to bike a certain distance is equal to,

time = distance / speed __(1)

Here the speed is the rate at which Jasmine bikes = 18 miles per hour.

Let us consider 'd' be the distance representing the number of miles Jasmine bikes.

This implies,

The function that represents the time Jasmine spends biking in terms of the distance .

Function f(d)  representing the time Jasmine spends biking for a distance of d miles

Substitute all the values in the formula (1) we get,

⇒ f(d) = d / 18

Therefore, the function representing the time spend by Jasmine for distance d is equal to f(d) = d / 18.

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The above question is incomplete , the complete question is:

The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate.

Write the function representing the time Jasmine spends biking in terms of the distance?

The clothing in the store is separated into strata, each of which is a rack of items with comparable prices. An illustration of the use of a stratified random sample is the mean price calculated using the randomly chosen articles of clothing from the strata.

In the random sampling method of sampling, each sample has an equal chance of being chosen. In order to fairly represent the entire population, a sample is chosen at random. From a pool of 250 employees, 25 names could be chosen at random to represent a simple random sample. The sample in this case is random, and the population in this case is the employees since each has an equal chance of being chosen.

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Answer: Slope intercept form

Step-by-step explanation:

m=slope

b=y-intercept

Answer:

y = -4x + (-3)      or       y = -4x - 3,

Step-by-step explanation:

So the symbol would be negative (-). The rest of the equation is constructed by adding the slope which is -4x to the y intercept which is -3

You have the following system of equations:

x + 3y = 1

y = 2x + 5

in order to solve the previous system, replace the expression y = 2x + 5, into the first equation and solve for x, as follow:

x + 3y = 1

x + 3(2x + 5) = 1 apply distribution property

x + 6x + 15 = 1 simplify lef side

7x + 15 = 1 subtrac 15 both sides

7x = 1 - 15

7x = -14 divide by 2 both sides

x = -14/2

x = -7

replace the previous value of x into the second equation to get y:

y = 2x + 5

y = 2(-7) + 5

y = -14 + 5

y = -9

Hence, the solution to the given system of equations is:

x = -7

y = -9

(-7 , -9)

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

Answer:

Step-by-step explanation:  1133.5.

Answer: length x width x height

Step-by-step explanation:

Answer:

Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want). And together the Event and its Complement make all possible outcomes.

Answer:

km that is k×m means k is multiplied by m

The equation of the line which is perpendicular to this line would be 3x - 2y = 13.

The equation of a parallel line to the line would be 2x + 3y = 0

The slope of the line perpendicular to this would be the negative reciprocal of -2/3, which is 3/2.

So the equation of the perpendicular line is:

y - ( -2 ) = 3/2 (x - 3)

y + 2 = 3/2x - 9/2

2y + 4 = 3x - 9

3x - 2y = 13

The slope of the line parallel to the given line would be equal to the slope of the given line, which is -2/3.

So the equation of the parallel line is:

y - (-2) = -2/3 (x - 3)

y + 2 = -2/3x + 2

y = -2/3x

2x + 3y = 0

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The correct linear programming (LP) formulation of the problem is: Maximize: 400x1 + 300x2 + 360x3 + 200x4

Subject to: 4x1 + 2x2 + 3x3 + x4 ≤ 8

            x1, x2, x3, x4 ϵ {0,1}

The correct LP formulation of the problem is: max 400x1 + 300x2 + 360x3 + 200x4
s.t. 4x1 + 2x2 + 3x3 + x4 ≤ 8
x1, x2, x3, x4 ϵ{0,1}

This formulation includes the objective function, which is to maximize the sum of 400x1, 300x2, 360x3, and 200x4. It also includes the constraints, which are that the sum of 4x1, 2x2, 3x3, and x4 must be less than or equal to 8, and that x1, x2, x3, and x4 can only take on the values of 0 or 1. By including these constraints, we ensure that the solution will meet the requirements of the problem.

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The matrix is a not invertible when it's column do not span because it is not linearly independent.

According to the statement

we have find that the matrix can be a invertible or not when its column is spaned.

So, For this purpose, we know that the

Matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

And according to the statement it is not possible for thr matrix to be invertible.

Because for matrix it is not a possible because it is not independent,

In other words, No, if the columns don't span R5 -> NOT linearly independent -> not invertible.

So, The matrix is a not invertible when it's column do not span because it is not linearly independent.

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The proportion of the class with a midterm grade less than 75 is approximately 0.3085, or 30.85%. This means that 30.85% of the class is expected to have a midterm grade lower than 75.

We can use the cumulative distribution function (CDF) of the normal distribution to find the proportion of the class with a midterm grade less than 75.

The CDF of a normal distribution with mean μ and standard deviation σ evaluated at a point x is given by the formula:

CDF(x) = 0.5 * [1 + erf((x - μ) / (σ * √2))]

where erf is the error function.

For this problem, μ = 78 and σ = 6, and x = 75, so the CDF can be calculated as follows:

CDF(75) = 0.5 * [1 + erf((75 - 78) / (6 * √2))]

= 0.5 * [1 + erf(-0.3536)]

The value of erf(-0.3536) can be looked up in a table or calculated using a software package. The result is approximately -0.383.

CDF(75) = 0.5 * [1 + -0.383] = 0.5 * [0.617] = 0.3085

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Answer:

m<Q = 35

m<R = 19

m<S = 126

This is an OBTUSE triangle because there's one obtuse angle

Step-by-step explanation:

4x - 17 + x + 6 + 10x - 4 = 180

15x - 15 = 180

15x = 195

x = 13

<Q:

4x - 17

4(13) - 17

35

<R:

x + 6

13 + 6

19

<S:

10x - 4

10(13) - 4

126

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

That's an interesting research approach!  By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.

Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.

Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

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The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Since the integral does not have an elementary antiderivative, the best we can do is to leave it as ∫(x - 7)/(x^2 - 18x + 82) dx + c, where c is the constant of integration.

To evaluate the integral of (x - 7)/(x^2 - 18x + 82) dx, and use c for the constant of integration, follow these steps:

1. Identify the function: f(x) = (x - 7)/(x^2 - 18x + 82)

2. Integrate f(x) with respect to x: ∫(x - 7)/(x^2 - 18x + 82) dx

3. Find the antiderivative of f(x): This integral does not have an elementary antiderivative, so it cannot be expressed in terms of elementary functions.

4. Add the constant of integration: F(x) + c, where c is the constant of integration.

Since the integral does not have an elementary antiderivative, the best we can do is to leave it as ∫(x - 7)/(x^2 - 18x + 82) dx + c, where c is the constant of integration.

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Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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