Find the area of the following triangle:
5
3
4

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.

To calculate the value of m∠Q, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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The percent discount on the phone because of a sale is 45%.

To find the percent discount, we need to calculate the difference between the original price and the discounted price, and then express that difference as a percentage of the original price.

First, let's find the difference between the two prices: $28 - $15.40 = $12.60. This means that Benjamin saved $12.60 on the phone.

Now, let's find the percent discount. We can do this by dividing the savings by the original price, and then multiplying the result by 100: ($12.60 / $28) * 100 = 45%.

So, Benjamin received a 45% discount on the phone before tax. This calculation shows that the sale allowed him to save a significant amount on his purchase. It's important to compare original and discounted prices to determine if a sale provides good value.

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Answer:

$2,240

Step-by-step explanation:

1400×3=4,200

4200×20=84,000

84,000÷100=840

840+1400=2,240

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It will take approximately 15.27 years for your investment to reach $5,000 at a growth rate of 4.55% per year.

Using the compound interest calculation, we can determine how long it will take for your investment to grow to $5,000 at a growth rate of 4.55% per year:

[tex]A = P(\frac{1 + r}{n} )^(^n^t^)[/tex]

Where:

A = the final amount ($5,000)

P = the initial deposit ($2,500)

r = the interest rate (4.55%)

n = the number of times interest is compounded per year (assuming yearly compounding, n=1)

t = the number of years

Plugging in the values, we get:

[tex]\$5,000 = \$2,500(\frac{1 + 0.0455}{1} )^(^1^t^)[/tex]

Simplifying, we get:

[tex]2 = (1.0455)^t[/tex]

Taking the natural logarithm of both sides, we get:

ln(2) = t ln(1.0455)

Solving for t, we get:

t = ln(2) / ln(1.0455) = 15.27 years

Therefore, it will take approximately 15.27 years for your investment to reach $5,000 at a growth rate of 4.55% per year.

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Answer:

Step-by-step explanation:

To calculate the percentage of Ryann’s total debt that is included in the bankruptcy, you can divide the amount of debt included in the bankruptcy by the total debt and then multiply by 100.

So, the calculation would be: ($10,148.22 / $112,758.00) * 100 = 9%.

This means that 9% of Ryann’s total debt is included in the bankruptcy.

The student should receive $5.69 in change.

The price of the shirt after the coupon is applied is 0.75 times the regular price, so:

Price of the shirt = 0.75x

If x = $18, then the price of the shirt is:

Price of the shirt = 0.75($18) = $13.50

The clerk adds 6% sales tax to the price of the shirt:

Sales tax = 6% of $13.50 = 0.06($13.50) = $0.81

So the total cost of the shirt is:

Total cost = $13.50 + $0.81 = $14.31

If the student pays with a $20 bill, the change the student should receive is:

Change = $20 - $14.31 = $5.69

Therefore, the student should receive $5.69 in change.

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The value of the calculated percent markup of the shirt is 11.1%

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

A department store buys 200 shirts at a cost of ​$ 3600 and sells them at a selling price of ​$ 20 each.

This means that

Cost price = 3600/200

Evaluate

Cost price = 18

The percent markup of the shirt is then calculated as

Percentage = (20 - 18)/18

Evaluate

Percentage = 11.1%

Hence, the percent markup of the shirt is11.1%

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The quality of a manga is subjective and it varies from person to person.

Quality of a manga is depending on their interests, preferences, and tastes.

Therefore,If anything favourite of one person that not mean another person also like the thing.

Manga ratings can be found on various online platforms such as MyAnimeList, MangaUpdates and Goodreads.

These all websites have a community of users who rate and review manga based on their own opinions and experiences.

If we want to get a rating for our favorite manga,

We can try posting your question on manga-related forums, social media groups, or other online communities where manga enthusiasts gather.

We can also ask your friends who are into manga to share their thoughts on the series we like.

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Answer:

Step-by-step explanation:

git

The correct interpretation of the 95% confidence level is that if we were to repeat this sampling process multiple times and construct confidence intervals in the same way, about 95% of the intervals would contain the true mean number of suitable apples produced per tree.

In other words, we are 95% confident that the true mean number of suitable apples produced per tree is between 375 and 520 based on this particular sample of 40 trees. However, we cannot say with certainty that the true mean falls within this interval, nor can we say that it falls outside of this interval with 95% confidence.

It's important to note that the confidence level refers to the long-run behavior of the method of constructing confidence intervals, rather than the probability that the true mean falls within the specific interval calculated from this one sample.

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Answer:

The triangular prism has two triangular bases and three rectangular lateral faces.

First, we need to find the area of each triangular base. Using the formula for the area of a triangle:

base x height / 2

We can calculate the area of one triangular base as:

(10 x 12) / 2 = 60 units²

Now we need to find the area of each rectangular lateral face. All three faces have the same dimensions of 10 units by 14 units, so the area of each face is:

10 x 14 = 140 units²

To find the total surface area of the prism, we add up the areas of both triangular bases and all three rectangular faces:

Total surface area = 2 x (area of triangular base) + 3 x (area of rectangular face)

Total surface area = 2 x 60 units² + 3 x 140 units²

Total surface area = 120 units² + 420 units²

Total surface area = 540 units²

Therefore, the surface area of the triangular prism is 540 square units.

Answer: Z=21, Y=9, X=1

Step-by-step explanation:

Z---------

Since 3z and 63 are equal angles, then 3z must equal 63 as well. So 3 times what is 63? 3 times 21. Z=21.

X------1

2 times 1 is 2.

3 times 1 is 3. 3-1 is 2.

x=1

Y----

Same concept as Z. Since the length 13 and Y+4 are equal sides (definition of the kite figure I forget the proper name) then 13-4 is your answer. 9.

Answer:

Function A: f(x) = -8^x

Function B: f(x) = 2^x

Function A has a greater horizontal asymptote. As x approaches negative infinity, Function A approaches y = 0 faster than Function B.

The vertical distance the Mars Rover Curiosity has traveled is approximately 84.954 meters.

An absolute value equation is an equation that contains an absolute value expression, which is defined as the distance of a number from zero on the number line. The equation |x-b|=c represents the distance between x and b is c units. To write the absolute value equations in the form |x-b|=c, we need to determine the values of b and c based on the given solution sets.

For the solution set "All numbers such that x ≤ -14", we know that the distance between x and -14 is always a non-negative value. Therefore, the absolute value of (x-(-14)) or (x+14) is equal to the distance between x and -14. Since we want x to be less than or equal to -14, we can set the absolute value expression to be equal to -c, where c is a positive number. Hence, the absolute value equation is |x+14|=-c.

Similarly, for the solution set "All numbers such that x ≥ -1.3", the distance between x and -1.3 is always a non-negative value. Therefore, the absolute value of (x-(-1.3)) or (x+1.3) is equal to the distance between x and -1.3. Since we want x to be greater than or equal to -1.3, we can set the absolute value expression to be equal to c, where c is a positive number. Hence, the absolute value equation is |x+1.3|=c.

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Answer:

(x-6)²+(y+3)²=17²

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r is given by the formula:

(x - a)² + (y - b)² = r²

In this case, the center of the circle is (6,-3), and it passes through the point (-9,5). To find the radius of the circle, we need to calculate the distance between the center and the point on the circle. Using the distance formula, we get:

r = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-9 - 6)² + (5 - (-3))²]

= √[225 + 64]

= √289

= 17

So, the radius of the circle is 17. Now we can plug in the values for the center and radius into the equation of a circle:

(x - 6)² + (y + 3)² = 17²

PJ's design is best described as a randomized controlled trial (RCT), which is a type of experimental study that randomly assigns participants to a control group or an intervention group.

In this case, the control group did not receive the soft music during high stakes science testing, while the intervention group did. By administering both a pretest and a posttest, PJ was able to measure any differences in performance between the two groups. The use of randomization helps to ensure that any differences observed between the groups can be attributed to the intervention (soft music) rather than to other factors that may have influenced the results. Overall, PJ's RCT design is a rigorous way to test the effects of a specific intervention on a particular outcome.

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First, we need to convert the mixed number 2 3/8 to an improper fraction:

2 3/8 = (2 x 8 + 3) / 8 = 19/8

To find out how many times Craig needs to fill a 1/3 cup measuring cup, we can divide 19/8 by 1/3:

(19/8) / (1/3) = (19/8) x (3/1) = 57/8

Therefore, Craig needs to fill a 1/3 cup measuring cup 57/8 times to measure 2 3/8 cups.

The value of A, B and C from the given equation are 0, 0 and 6 respectively.

The given equation is y=x²+x.

Here, the table is

X   -2 -1   0  1  2

Y    2  A  B  2 C

When x=-1

y=(-1)²-1

y=0

So, A=0

When x=0

y=(0)²+0

y=0

So, B=0

When x=2

y=(2)²+2

y=6

So, C=6

Therefore, the value of A, B and C are 0, 0 and 6 respectively.

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The scale factor of Winston's drawing of the elementary school is 0.008. The scale factor represents the relationship between the measurements on the drawing and the corresponding actual measurements.

To find the scale factor of Winston's drawing that has a scale of 8 centimeters = 10 meters,

So, the scale factor of Winston's drawing of the elementary school is 0.008.

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In Roman Numerals, smaller numbers can be subtracted from larger numbers, but only to a certain extent.

The number VCX is incorrect in Roman Numerals because V (5) cannot be subtracted from X (10) to make 5, and C (100) cannot be subtracted from X (10) to make 90.

In Roman Numerals, smaller numbers can be subtracted from larger numbers, but only to a certain extent.

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Answer:

1 term-38. ,2nd term-36. ,3rd tern is34

Noah's estimate of 7.5 hours is closest to the actual mean number of hours of sleep reported by the ten sixth-grade students.

We have,

Compare the estimates given by Lin, Noah, and Diego.

Lin's estimate is 8.5 hours.

Noah's estimate is 7.5 hours.

Diego's estimate is 6.5 hours.

The average of these three estimates:

(8.5 + 7.5 + 6.5) / 3

= 22.5 / 3

= 7.5

It appears that Noah's estimate of 7.5 hours is the closest.

Therefore,

Noah's estimate of 7.5 hours is closest to the actual mean number of hours of sleep reported by the ten sixth-grade students.

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The complete question:

Which estimate of the mean number of hours of sleep reported by the ten sixth-grade students is closest to the actual mean: Lin's estimate of 8.5 hours, Noah's estimate of 7.5 hours, or Diego's estimate of 6.5 hours?

The total or actual time he needs to practice is 140 min whereas he practiced for 98 min during the school week.

We need to find the total time he must practice for a week. To find the total time we assume that the total time is x min.

Given Data:

Dmitri practices time during the school week = 98 min

Dmitri practices amount of time = 70% of his total time

Total time = x

Then the equation is given as

70% × (x) = 98

0.70 × (x) = 98

x = 98 / 0.70

x = 140

Therefore, The total time of the practices is 140 min

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All real numbers will be the function's domain. D is the right answer in this case.

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f make up this set(x).

A function's range is the collection of values it can take as input.

After we enter an x value, the function outputs this sequence of values.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

Let a be the leading coefficient and the parabola's vertex be the point (h, k).

The parabola's equation will then be provided as,

y = a(x - h)² + k

The graph shows where the vertex of the parabola will be. (-1.5, -4.5). The equation is then presented as:

y = a(x + 1.5)² - 4.5

Therefore, all real numbers will be the function's domain. D is the right answer in the case.

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Correct question:

The graph of the quadratic function f is shown in the grid. Which of these best represents the domain of f?

A: y>=4.5

B: All real numbers less than -4 or greater than 1

C: -4<=x<=1

D: All real numbers ​

Answer:

Step-by-step explanation:

(a) The total payment for a student who registers for m language subjects and n other subjects can be expressed as:

Total payment = Administrative fee + Tuition fee for language subjects + Tuition fee for other subjects

Total payment = RM30 + RM45m + RM40n

Total payment = RM30 + 45m + 40n

(b) For Zaleha who registers for 3 language subjects and 2 other subjects, the total payment can be calculated as:

Total payment = RM30 + (3 x RM45) + (2 x RM40)

Total payment = RM30 + RM135 + RM80

Total payment = RM245

(c) Chan pays RM280 when she registers for 2 language subjects and p other subjects. We can use the formula derived in part (a) to find the value of p:

Total payment = RM30 + (2 x RM45) + (p x RM40)

RM280 = RM30 + RM90 + RM40p

RM280 - RM120 = RM40p

RM160 = RM40p

p = 4

Therefore, Chan registers for 2 language subjects and 4 other subjects.

(a) The surface area of a right pyramid with a square base can be calculated as:

L = base area + 1/2 x perimeter of base x slant height

The base of the pyramid is a square, so its area can be expressed as:

Base area = a^2

The perimeter of the base can be calculated as:

Perimeter of base = 4a

The slant height can be calculated using the Pythagorean theorem:

slant height = sqrt(h^2 + (a/2)^2)

where h is the height of the pyramid.

Substituting these values in the surface area formula, we get:

L = a^2 + 1/2 x 4a x sqrt(h^2 + (a/2)^2)

L = a^2 + 2a x sqrt(h^2 + (a/2)^2)

(b) If a = 10 and b = 12, then the surface area of the pyramid can be calculated as:

L = 10^2 + 2 x 10 x sqrt(h^2 + (10/2)^2)

L = 100 + 20sqrt(h^2 + 25)

Given that L = 192, we can solve for h:

192 - 100 = 20sqrt(h^2 + 25)

92 = 20sqrt(h^2 + 25)

4.6 = sqrt(h^2 + 25)

4.6^2 - 25 = h^2

h^2 = 2.76

h = sqrt(2.76)

h ≈ 1.66

Substituting these values in the surface area formula, we get:

L = 10^2 + 2 x 10 x sqrt(1.66^2 + (10/2)^2)

L ≈ 314.9

Therefore, the surface area of the pyramid is approximately 314.9 square units.

(c) If L = 192 and a = b, then the surface area formula can be simplified as:

L = a^2 + 2a x sqrt(h^2 + (a/2)^2)

192 = a^2 + 2a x sqrt(h^2 + (a/2)^2)

We also know that the height of the pyramid is equal to the side length of the triangular faces. Since the pyramid is a right pyramid, the height and slant height are related by the Pythagorean theorem:

h^2 + (a/2)^

The perimeter of the equilateral triangle whose area is 16root3/4 is 15.9[tex]\sqrt{3/4} cm[/tex]

You should understand that a triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted

An equilateral triangle is a special case of an isosceles triangle in which all three sides have the same length

Let the sides of the triangle be a

a + a + a = 16root3/4

3a = 16[tex]\sqrt{3/4}[/tex]

a = 5.3[tex]\sqrt{3/4}[/tex]

Therefore the perimeter of the equilateral triangle is

5.3[tex]\sqrt{3/4} + 5.3\sqrt{3/4} +5.3\sqrt{3/4}[/tex]

Therefore, the  perimeter is 15.9[tex]\sqrt{3/4} cm[/tex]

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Answer: The transformation is up one and to the left 5

(-5, 1)

Step-by-step explanation:

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Answer:   h(x) = g(x+5)+1

Step-by-step explanation:

h(x) = g(x+5)+1

You went 5 in the negative direction x direction; take the opposite sign

Also went up 1 in the y direction so add 1 to equation

8. Patricia uses 600 milliliters of water each time she waters her vegetable garden. The correct option is A © 600 mL.

9. 4-5 =-1

For first question:

8. A watering can holds 3 liters of water, and Patricia waters her vegetable garden 5 times a day using one full can in total. To find out how many milliliters of water she uses each time, you need to first convert the 3 liters to milliliters (1 liter = 1,000 milliliters) and then divide by 5.

3 liters × 1,000 milliliters/liter = 3,000 milliliters
3,000 milliliters ÷ 5 = 600 milliliters

So, Patricia uses 600 milliliters of water each time she waters her vegetable garden. The correct answer is 600 mL.

9. For second question, the calculation is as follows:

4 - 5 = -1

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