HELP ASAP The side lengths of a triangle are 9, 12, and 18. Is this a right triangle?

A. No, because 9+12+18.

B. No, because 92 + 122 #182.

C. Yes, because 92 + 122 = 182.

D. Yes, because 92 + 122 < 182.​

Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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Answer:

Step-by-step explanation:

lower left triangle:  5^2 + x^2 = 13^2

x^2 = 144 => x = 12

So, area of triangle is : (5 * (12-4))*0.5 => 20

Shaded area: (8 *12) -20 => 96 -20

=76 unit^2

Answer:

Area: 98 in^2

Step-by-step explanation:

8-3=5

Triangle: a^2 + b^2 = c^2

a^2 + 5^2 = 13^2

a^2 = 169-25

a = sqrt 144

a = 12

Area: 16in * 8in = 128 in^2

Area rectangle - triangle

Area triangle: (bh)/2

(12*5)/2 = 30 in^2

128 - 30 = 98 in2

Answer:

p = 1/8

Step-by-step explanation:

Step 1: Write out equation

-3p + 1/8 = -1/4

Step 2: Subtract 1/8 on both sides

-3p = -3/8

Step 3: Divide both sides by -3

p = 1/8

Answer:

3.33hours

Step-by-step explanation:

Where the number of hours = h

the prices of stock A at 9am was $12.18 since then the price has been increasing at the rate of $0.06 each hour.

The Algebraic expression =

$12.18 + $0.06 × h

12.18 + 0.06h

At noon the price of stock B was $12.68. It begins to descrease at the rate of $0.09 per hour.

$12.68 - $0.09×h

12.68 - 0.09h

If the 2 rates continue in how many hours will the prices of the two stocks be the same?

Stock A = Stock B

12.18 + 0.06h = 12.68 - 0.09h

Collect like terms

0.06h + 0.09h = 12.68 - 12.18

0.15h = 0.5

h = 0.5/0.15

h = 3.3333333333 hours

h = 3.33hours

The percentage of the data set within the range of 10 to 22 is 68.26%.

To find the percentage of the data set for a normally distributed variable with a mean of 16 and a standard deviation of 6, we can use the concept of z-scores and the standard normal distribution.

First, we need to convert the values to z-scores, which measure the number of standard deviations a particular value is from the mean. The formula for calculating the z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the percentage of the data set within a certain range. Let's say we want to find the percentage of the data set between 10 and 22. We can calculate the z-scores for these values:

\(z1 = (10 - 16) / 6 = -1.0\)

\(z2 = (22 - 16) / 6 = 1.0\)

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between these z-scores. The area between -1.0 and 1.0 represents the percentage of the data set within the range of 10 to 22.

Looking up the z-scores in the standard normal distribution table, we find that the area between -1.0 and 1.0 is approximately 0.6826. This means that approximately 68.26% of the data set falls within the range of 10 to 22.

Therefore, the percentage of the data set within the range of 10 to 22 is 68.26%.

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The scale of drawing of Bonnie's drawing is 5 inches : 6 yards.

She measured a city and made a scale drawing.

The neighbourhood park is 115 inches long in the drawing. The actual park is 138 yards long.

Therefore, the scale of the drawing can be calculated as follows:

Hence,

115 inches = 138 yards

5 inches = ?

cross multiply

scale of the drawing = 5 × 138 / 115

scale of the drawing = 690 / 115

Therefore,

scale of the drawing is 5 inches : 6 yards

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The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

The given parameters are:

Base = 5(x+3)

Height = 2(x+9)

Perimeter = 108

The perimeter of a rectangle is

P = 2 *(Base + Height)

So, we have:

2 *(5(x + 3) + 2(x + 9)) = 108

Divide both sides by 2

5(x + 3) + 2(x + 9) = 54

Open the brackets

5x + 15 + 2x + 18 = 54

Evaluate the like terms

7x = 21

Divide by 7

x = 3

Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)

Base = 5(3+3) = 30

Height = 2(3+9) = 24

Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

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the interval in which g(x) is positive is [3, ∞].

Here we have the function:

g(x) = ∛(x - 3)

The interval in which the function is positive is defined by:

g(x) > 0.

Then we have:

∛(x - 3) > 0.

We need to solve that inequality for x.

∛(x - 3) > 0

The cube root respects the sign of the argument, then:

x - 3 > 0

x > 3

Then the interval in which g(x) is positive is [3, ∞].

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Answer:

the answer is 61

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

Have a good day :)

Angle A is 19 degrees.

Angle C is 90 degrees.

Side a is approximately 7.83.

Side c is approximately 34.50.

To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.

Finding Angle A:

Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:

A = 90 - B

Substituting the given value, we have:

A = 90 - 71

A = 19 degrees

Therefore, Angle A is 19 degrees.

Finding Angle C:

Since it is a right triangle, Angle C is always 90 degrees.

Therefore, Angle C is 90 degrees.

Finding Side a:

We can use the sine ratio to find the length of side a:

sin(A) = a / b

Rearranging the equation to solve for a, we have:

a = b * sin(A)

Substituting the given values, we have:

a = 24 * sin(19)

a ≈ 7.83

Therefore, the length of side a is approximately 7.83.

Finding Side c:

Using the Pythagorean theorem, we can find the length of side c:

c^2 = a^2 + b^2

Substituting the given values, we have:

c^2 = 7.83^2 + 24^2

c^2 ≈ 613.68 + 576

c^2 ≈ 1189.68

Taking the square root of both sides to solve for c, we have:

c ≈ √1189.68

c ≈ 34.50

Therefore, the length of side c is approximately 34.50.

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a. The sample mean for U is 21.55 and the sample mean for F is 8.39.

b. sample median for U is 17 and the sample median for F is 8.

c. trimmed mean for U is 17 and the trimmed mean for F is 7.95.

d. trimmed percentage for U is 18.18% and the trimmed percentage for F is 13.33%.

a) Sample mean can be calculated by adding values and dividing the sum by the number of the values.

< Strong > Mean(U) < / Strong > =

\(\frac{6.0 +5.0 + 11.0 + 33.0 + 4.0+5.0+80.0+18.0 + 35.0+17.0+23.0}{11}\) = 21.55

< Strong > Mean(F) < / Strong > =  \(\frac{2.0 + 15.0 + 12.0 + 8.0 + 8.0 + 7.0 + 6.0 + 19.0 + 3.0+9.8+22.0+9.6+2.0+2.0+0.5}{15}\) = 8.39

b) Sample median is the middle value of a sorted sample:

Sorted(U)= [ 4.,  5.,  5.,  6., 11., 17., 18., 23., 33., 35., 80.]

Sorted(F)=[ 0.5,  2. ,  2. ,  2. ,  3. ,  6. ,  7. ,  8. ,  8. ,  9.6,  9.8, 12. , 15. , 19. , 22.]

Median(U)=17, which is the 6th (middle) value

Median(F)=8, which is the 8th (middle) value

c) If we delete the smallest and largest observation, we have:

U= [  5.,  5.,  6., 11., 17., 18., 23., 33., 35., ]

F= [ 2. ,  2. ,  2. ,  3. ,  6. ,  7. ,  8. ,  8. ,  9.6,  9.8, 12. , 15. , 19. ]

Using the above equation for the new samples, we have:

TrimmedMean(U)= 17

TrimmedMean(F)=7.95

d) Trimming percentages can be found by dividing the number of removed values by the old sample size

That is, for U: \(\frac{2}{11} = 0.18\) 18.18%

for F: \(\frac{2}{15} = 0.13\) ,13.33%

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The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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As per the concept of complex number, the equivalent expression to the given complex number is: –16 + 30i.

In math, the term complex number is defined as the following form:

=> a+bi,

where a and b are real numbers.  

where the variables: a is the real part and bi imaginary part.

Here we have given that the complex expression: (3+5i)²

And we need to find the equivalent expression for this one.

Here we know that the same properties used for real numbers can be applied to complex numbers.

According to this rule, we have to solve the operations math with these numbers, it is important to know that i²= -1.

As we know that the algebraic expressions are considered equivalent when they are equal.

Therefore, for solving this question, you should:

We have to apply the power rules and then  select the option that is equal to the result found.

= > (3+5i)²

Now it can be expanded like the following,

=> 9+30i+25i²

Apply the rule,

=> 9+30i+25*(-1)

=> 9+30i-25

=> -16 + 30i

Therefore, option (a) is correct.

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Answer:

messageAdam, Ben and Carly work out the mean of their ages.Adam is 4 years older than the mean. Ben is 1 year younger than the mean.Is Carly older or younger than the mean?By how many years?Let's start by finding the mean of their ages. We can do this by adding their ages and dividing by the number of people: Mean = (Adam's age + Ben's age + Carly's age) / 3 Let's call the mean "M" for now. We can use this to create two equations based on the information given: Adam = M + 4 Ben = M - 1 We can substitute these equations into the mean equation to get: M = (M + 4 + M - 1 + Carly's age) / 3 Simplifying this equation gives us: 3M = 2M + 3 + Carly's age Carly's age = M - 3 So Carly's age is younger than the mean by 3 years

Given:

Ava estimates that 475 songs will fit on her iPad.

The actual amount of songs that fit is 350.

To find:

The percent of error.

Solution:

We know that,

\(\text{Percent error}=\dfrac{\text{Estimated values - Actual value}}{\text{Actual value}}\times 100\)

Putting the given values, we get

\(\text{Percent error}=\dfrac{475-350}{350}\times 100\)

\(\text{Percent error}=\dfrac{125}{350}\times 100\)

\(\text{Percent error}=\dfrac{250}{7}\)

\(\text{Percent error}\approx 35.71\%\)

Therefore, the percent of error is 35.71%.

The prediction that Lucas can make about the next shipment of ornaments is that H. A delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.

It should be noted that a word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, since the department store receives a shipment of 3 boxes of glass ornaments and there are 25 ornaments in each box.

Lucas then opens the boxes and finds that 6 of the ornaments are broken. This implies that there are 2 broken for each box.

In this case, a delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.

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The 97% confidence interval for the proportion of left-handed people can be calculated using the following formula:

p ± z*(sqrt(p(1-p)/n))

where:

p is the sample proportion of left-handed people (13% in this case)

z is the z-score for the desired confidence level (97% in this case, with a z-score of 2.33)

n is the sample size (145 in this case)

So the calculation would be: p = 0.13

z = 2.33

n = 145p ± z*(sqrt(p(1-p)/n)) = 0.13 ± 2.33 * (sqrt(0.13 * (1 - 0.13) / 145))

The lower and upper bounds of the confidence interval can be calculated as follows:

Lower bound: 0.13 - 2.33 * (sqrt(0.13 * (1 - 0.13) / 145)) = 0.085

Upper bound: 0.13 + 2.33 * (sqrt(0.13 * (1 - 0.13) / 145)) = 0.175

So the 97% confidence interval for the proportion of left-handed people is (0.085, 0.175). This means that we can be 97% confident that the true proportion of left-handed people in the population is between 8.5% and 17.5%.

The 97% confidence interval for the proportion of left-handed people gives us a range of values within which we can be 97% confident that the true proportion of left-handed people in the population falls. In other words, if we were to repeatedly sample 145 people from the population and calculate the proportion of left-handed individuals in each sample, we would expect that the true proportion of left-handed people in the population would fall within the calculated confidence interval approximately 97% of the time.

The lower bound of the confidence interval represents the minimum value of the proportion of left-handed people that is consistent with the sample data, while the upper bound represents the maximum value. In this case, the lower bound of the confidence interval is 8.5% and the upper bound is 17.5%.

It is important to note that the confidence interval is not a prediction of the exact proportion of left-handed people in the population, but rather a range of values that is consistent with the sample data. The wider the confidence interval, the less precise our estimate of the true proportion is, while a narrow confidence interval indicates a more precise estimate.

In conclusion, the 97% confidence interval for the proportion of left-handed people in this case is (0.085, 0.175), which means that we can be 97% confident that the true proportion of left-handed people in the population falls within this range.

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A cost that varies depending on the values of decision variables is a variable cost. This type of cost changes in proportion to changes in the production or sales volume.

Variable costs are expenses that fluctuate with changes in the level of production or sales. These costs are directly tied to the quantity of goods or services produced or sold, and they increase or decrease as the production or sales volume changes. Common examples of variable costs include materials, labor, and direct expenses associated with producing a product or providing a service. As the production or sales volume increases, the variable cost per unit decreases, due to economies of scale. Conversely, as production or sales volume decreases, the variable cost per unit increases, due to diseconomies of scale. Understanding variable costs is essential for businesses to accurately calculate their costs of goods sold, determine their break-even point, and make informed decisions about pricing and production levels.

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The value of x is 117°. The solution has been obtained by using properties of polygons.

What is a polygon?

A polygon is a closed object in a two-dimensional plane comprised of line segments rather than curves. The word "polygon" is a combination of the words "poly" (which meaning many) and "gon" (means sides).

We are given a polygon called as pentagon as it has five sides.

We are given four angles as 86°, 140°, 138° and 59°.

We know that sum of all angles of a pentagon is 540°.

So, from this we get,

⇒86° + 140° + 138° + 59° + x = 540°

⇒423° + x = 540°

⇒x = 117°

Hence, the value of x is 117°.

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The figure in the question was missing which has been attached below

Answer: No Solution

Step-by-step explanation:

4x+9=4x-17

Subtract 4x from both sides

4x+9-4x=4x-17-4

Simplify

9=-17

(No Solution)

Answer:

It is 4

Step-by-step explanation:

50

Step-by-step solution:

    0.3x-42=0.1x-32

    -0.1x

    0.2x-42=-32

                   +42

      0.2x=10

               0.2                

        x=50

The unit of measurement used to describe how far a set of values are from the mean is the standard deviation. Therefore, the correct answer is (b) standard deviation.

The variance is another measure of spread, but it is not in the form of the original units of measurement. The median is a measure of central tendency and not a measure of spread. The mode is the most frequently occurring value in a set and is also not a measure of spread.
The unit of measurement used to describe how far a set of values are from the mean is the Standard Deviation (b). It is calculated by taking the square root of the variance and provides a measure of the average distance between each value in the set and the mean. The Median (c), on the other hand, is the middle value in a set when the values are arranged in numerical order.

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Answer:

incorrect addition

Step-by-step explanation:

Poooooooooooooooooooop

Answer:

  all are 90°

Step-by-step explanation:

Vertical angles are congruent, and linear angles are supplementary, so we have ...

  ∠AOC + ∠COB + ∠BOD = 270°

  180° + ∠BOD = 270°

  ∠BOD = 90°

Since the lines cross at right angles, all of the angles are 90°.

That bill age is currently 46 years old, and the ted age is currently 14 years old, according the provided statement.

Frequently, having an ancient soul only means you see things differently. There is nothing improper about that. In fact, most individuals would contend that having a distinct outlook on life may be advantageous to both you and those in your life. Depending on how you do it with your understanding, the wider world may be a possibility.

Equations:

B+2 = 3(t+2), B+t = 60, B-t = 4, and B+t = 60

Solve for "t" by subtracting: 4t = 56 t Equals 14 (Ted's current age).

Calculate "b" as follows: b + t = 60 b + 14 = 60 b Equals 46 (Bill's current age).

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Answer:

31/3/2/3=31×3/3×2=93/6=15.5

Answer:

5

Step-by-step explanation:

Hope this helps!

There are no cracks in the first 5 miles inspected, is approximately 0.208.

"Since the distance between major cracks in the highway follows an exponential distribution with a mean of 22 miles, the probability density function (PDF) for the distance between cracks is given by:

f(x) = (1/22) * exp(-x/22)

where x is the distance between two consecutive cracks.

Now, given that there are no cracks in the first 5 miles inspected, we want to find the probability that there is no major crack in the next 5-mile stretch. Let's call this event A.

P(A) = P(no cracks in the next 5 miles | no cracks in the first 5 miles)

We can use the memoryless property of the exponential distribution to simplify this calculation. The memoryless property states that the conditional probability of an event occurring in the next 5 miles, given that no event occurred in the first 5 miles, is the same as the unconditional probability of the event occurring in the next 5 miles.

Therefore, P(A) = P(no cracks in the next 5 miles)

We can find this probability by integrating the PDF of the exponential distribution from 0 to 5:

P(A) = integral from 0 to 5 of f(x) dx

P(A) = integral from 0 to 5 of (1/22) * exp(-x/22) dx

Using integration by substitution, let u = x/22, du = dx/22, and x = 22u, we get:

P(A) = integral from 0 to 5/22 of exp(-u) du

P(A) = [-exp(-u)] from 0 to 5/22

P(A) = 1 - exp(-5/22)

P(A) ≈ 0.208

Therefore, the probability that there is no major crack in the next 5-mile stretch, given that there are no cracks in the first 5 miles inspected, is approximately 0.208.

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Answer:

30,000

Explanation:

This is less than 35000. And so we need to round the number down to the nearest ten thousand. And so if we round 34699 to the nearest ten thousand, it becomes 30000.

Answer:

35,000

Step-by-step explanation:

the explanation is that when rounding up from 34,699 it round up to

35,000 because 6 is greater than 5 which means you round up the number in front of the 5 through 9. 4 through 0. You round it to 0 so it would be 35,00.