:( worth 50 points!!!!!! ;-;

if correct ill mark brainliest

Which of the following are valid names for the triangles below? Check all that apply

A. KEJ

B.JAOE

C.KE

D.JE

E.JKE

The height of the water tower is 132 feet

We have the height to be 5 feet 4 inches

then 1 feet = 12 inches

inch = 1 / 12 ft

Then 4 inches = 1 / 12 x 4

= 1 / 3 ft

Height = 5 1/3

= 16 / 3

height of the shadow cast = 3 feet

For the water tank

74 ft 3 inches

= 74 x 3 / 12

297 / 4

the height of the tower

\(\frac{height of person}{height of shadow} =\frac{height of tower}{height of person}\)

= \(\frac{16/3}{3} =\frac{x}{297/4} \\\\\frac{16}{3*3} =\frac{4x}{297}\)

Then x = 132

Therefore the height of the water tower is 132 feet

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Answer:

20.91375

Step-by-step explanation:

Mean is basically the average

15+22+19+20+29+18+25+19.31= 167.31

167.31/8=20.91375

Answer:

Step-by-step explanation:

20

The coordinate vector of b relative to F is:

bf = [ 4 ]
      [-2]

To find the coordinates of b with respect to the basis F, we need to express b as a linear combination of f1 and f2:

b = a1f1 + a2f2

where a1 and a2 are scalars. We want to find a1 and a2.

Substituting in the given values for b, f1, and f2, we get:

[-2] = a1[0] + a2[-1]
[0]  = a1[-1] + a2[-1]

Simplifying these equations, we get:

a2 = 2
a1 + a2 = 0

Solving for a1, we get:

a1 = -2

Therefore, we can express b as:

b = -2f1 + 2f2

To find the coordinate vector of b with respect to the basis F, we simply put the coefficients of f1 and f2 into a column vector:

bf = [-2]
    [ 2]
To find the coordinates of b relative to the ordered basis F, we need to express b as a linear combination of f1 and f2. We have:

b = [-2]
   [-2]

f1 = [ 0]
    [-1]

f2 = [ 1]
    [-1]

We want to find scalars x and y such that:

b = x * f1 + y * f2

Substituting the values, we get:

[-2] = x * [ 0] + y * [ 1]
[-2]       [-1]       [-1]

Solving for x and y:

-2 = 0x + 1y => y = -2
-2 = -1x + (-1y) => -2 = -x + 2 => x = 4

So, we have:

b = 4 * f1 + (-2) * f2

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Answer:

m∠B ≈ 28.05°

Step-by-step explanation:

Because we don't know whether this is a right triangle, we'll need to use the Law of Sines to find the measure of angle B (aka m∠B).  

The Law of Sines relates a triangle's side lengths and the sines of its angles and is given by the following:

\(\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}\).

Thus, we can plug in 36 for C, 15 for c, and 12 for b to find the measure of angle B:

Step 1:  Plug in values and simplify:

sin(36) / 15 = sin(B) / 12

0.0391856835 = sin(B) / 12

Step 2:  Multiply both sides by 12:

(0.0391856835) = sin(B) / 12) * 12

0.4702282018 = sin(B)

Step 3:  Take the inverse sine of 0.4702282018 to find the measure of angle B:

sin^-1 (0.4702282018) = B

28.04911063

28.05 = B

Thus, the measure of is approximately 28.05° (if you want or need to round more or less, feel free to).

The relation "r" on the set of all integers, where x = y^2, is not reflexive.

A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.

For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.

Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.

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Answer:

12

Step-by-step explanation:

= 6:3(3+3)

= 6/3 x 6

= 12

By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)

This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)

This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).

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The predicted cost for a student attending a arts college with 1,500 students and a rank of 4.5 can be calculated using the given regression model: Tuition = 7 + 4*Rank - 0.20*Size + 8*Private - 0.4*LibArts.

In this case, Rank = 4.5, Size = 1.5 (since it's measured in 1,000s), Private = 1 (since it's a private college), and LibArts = 1 (since it's a liberal arts college). Plugging these values into the model, the predicted tuition cost would be: Tuition = 7 + 4*(4.5) - 0.20*(1.5) + 8*1 - 0.4*1 = $26.1 thousand.

If the student switches from her current private liberal arts college to a public, non-liberal arts college with a rank 0.5 lower and 15,000 more students, we need to adjust the Size and Rank variables accordingly. Assuming the student's current college is still private, the new values would be Rank = 4.5 - 0.5 = 4 and Size = 1.5 + 15 = 16.5 (since it's measured in 1,000s). With the new values, we can calculate the predicted tuition cost for the public college: Tuition = 7 + 4*(4) - 0.20*(16.5) + 8*0 - 0.4*0 = $22.4 thousand.

To determine how much money the student saves in tuition, we calculate the difference between the predicted costs of the two colleges: $26.1 thousand - $22.4 thousand = $3.7 thousand. Therefore, by switching from her current private liberal arts college to a public, non-liberal arts college with a lower rank and larger size, the student saves $3.7 thousand in tuition.

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Answer:

− 3.7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Solution: x<5/8

decimal:x<0.625

interval notation:-∞,5/8

Step-by-step explanation:

add/subtract the numbers : 5-4=1

expand 1-5(7x+5):35x-24

add 24 to both sides

35-24+24<-5x+1+24

simplify

35x<-5x+25

add 5x to both sides

35x+5x <-5x+25x+5x

simplify

40x/40 <25/40

simplify

x<5/8

The probability that the sample mean will be between 181 and 185 is 0.3039.

Given,

The mean of a population, μ = 180

Standard deviation, σ = 36

Number of sample observations, n = 84

We have to find the probability that the sample mean will be between 181 and 185;

Lets convert 181 and 185 into z scores;

z = (x - μ) / (σ/√n)

z = (181 - 180) / (36/√84)

z = 1/3.93

z = 0.25

z = (185 - 180) / (36/√84)

z = 5 / 3.93

z = 1.27

Lets look z score table;

The area to the left of z = 0.25 is 0.5987

The area to the left of z = 1.27 is 0.8980

The probability that the z is between 0.25 and 1.27 would be 0.8980 – 0.5887 = 0.3039.

That is,

The probability that the sample mean will be between 181 and 185 is 0.3039.

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The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(1)\\20=5(-3+x)\ we\ distribue\\\\20=-15+5x\\\\5x=20+15\\\\5x=35\\\\x=7\\\\2)\\20=5(-3+x)\\\\5*4=5(-3+x)\ simplify\ by\ 5\\\\4=-3+x\\\\x=4+3\\\\x=7\\\)

Answer:

x=7

Step-by-step explanation:

Divide both by 5, than divide 20 by the 5 and u get 4, swap sides so all the variables terms are on the left side and add 3 to both sides and finally add 4 and 3 to get 7

Exactly 84 days will pass until Ross and Annie do their chores on the same day again.

We need to find the least common multiple (LCM) of 12 and 21 to determine the number of days until Ross and Annie do their chores on the same day.

One way to find the LCM is to list the multiples of each number until we find the smallest multiple that they have in common. For 12, the multiples are:

12, 24, 36, 48, 60, 72, ...

For 21, the multiples are:

21, 42, 63, 84, ...

The smallest multiple that they have in common is 84, so Ross will mow the lawn and Annie will bathe the dog on the same day every 84 days.

Therefore, 84 days will pass until Ross and Annie do their chores on the same day again.

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If three cards are drawn randomly for a standard card deck, then the probability that all three are different suits is 0.3976.

We know that the total number of cards in a standard deck is = 52 cards;

So, the probability of drawing 3 cards from a standard deck is =

⇒ ⁵²C₃ = 22100 ,

We know that each suit in a standard deck has 13 cards,

So, the probability of selecting 3 cards from a standard deck is :

⇒ 4(¹³C₁ × ¹³C₁ × ¹³C₁);

The probability that all three are different suits;

⇒ 4(¹³C₁ × ¹³C₁ × ¹³C₁)/22100,

⇒ 169/425,

⇒ 0.3976.

Therefore, the required probability is 0.3976.

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Answer:

12 each year

Step-by-step explanation:

60 divided by 5 is 12

so the answer is 12

Answer:

5,040 cars

Step-by-step explanation:

Each truck weighs 7.2 tons, and there are already 480 trucks loaded. This means that the cargo ship is currently carrying 3,456 tons.:

480 x 7.2 = 3,456

The limit is 21,600 tons, so 21,600 - 3,456 = 18,144.

Divide the remaining capacity by how much a car weighs:

18,144 / 3.6 = 5,040

Using the weighted average The number of cars that can be shipped if the cargo already has 480 trucks is 5040 cars.

What is the weighted average?

A weighted average or mean multiplies each item being averaged by a value based on its relative importance. The weights or weightings correspond to including many comparable items with the same value in the average using those terms.

Here,

Truck weight = 7.2 tons

Car weight = 4.2 tons

number of trucks = 480.

So, the weight of the trucks that are carried by the cargo ship = 7.2×480 = 3456.

and the total limit of the ship = 21600

So, the weight of the car that is carried by ship = 21600 - 3456 = 18144.

So, the total number of cars is \(\frac{18144}{3.6} = 5040\)

Hence, The total number of cars is 5040 cars.

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Answer: 106 yards

Step-by-step explanation: Find the square root of 702.25 which is 26.5, then times 26.5 by 4 to find the perimeter. 106 yards.

Answer:

106

Step-by-step explanation:

First, find the square root of 702.25 (26.5), then multiply that number by 4.

The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").

To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.

First, let's set the two equations equal to each other:

3x² + (12/24)y² = 16 - x²

Next, we simplify the equation:

4x² + (12/24)y² = 16

Multiplying both sides by 24 to eliminate the fraction:

96x² + 12y² = 384

Dividing both sides by 12 to simplify further:

8x² + y² = 32

Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:

(x²/a²) + (y²/b²) = 1

Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.

So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.

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a) It will take approximately 3.17 minutes for [A] to decrease from 0.0092 M to 3.7 x 10^(-3) M.

b) The half-life of the reaction is approximately 2.13 minutes.

To solve the given problem, we can use the integrated rate law for a second-order reaction:

1/[A]t - 1/[A]0 = kt

(a) Starting with [A]0 = 0.0092 M and [A]t = 3.7 x 10^(-3) M, we can plug in the values into the equation and solve for time (t):

1/[A]t - 1/[A]0 = kt

1/(3.7 x 10^(-3)) - 1/(0.0092) = (51 M^(-1) min^(-1)) * t

270.27 - 108.7 = 51t

161.57 = 51t

t ≈ 3.17 minutes

Therefore, it will take approximately 3.17 minutes for [A] to decrease from 0.0092 M to 3.7 x 10^(-3) M.

(b) To calculate the half-life of the reaction, we use the fact that the half-life (t1/2) is the time it takes for the concentration to decrease to half its initial value ([A]0/2). In this case, [A]0 = 0.0092 M, so [A]0/2 = 0.0046 M.

Using the integrated rate law, we can set [A]t = [A]0/2 and solve for t:

1/[A]t - 1/[A]0 = kt

1/(0.0046) - 1/(0.0092) = (51) * t1/2

217.39 - 108.7 = 51 * t1/2

108.69 = 51 * t1/2

t1/2 ≈ 2.13 minutes

Therefore, the half-life of the reaction is approximately 2.13 minutes.

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Answer:

No it's not!

Pythagorean theorem

15² + 9² = it's not 20

15² + 9² = 17 so

NO

Answer:

option B : Upen

Step-by-step explanation:

To find who saves the greatest. Find who spent the least.

That is find the smallest of these fractions.

To find the smallest among the fraction:

Step 1 : make the denominators the same.

Step 2 : to make denominators same find LCM of 8, 4, 3, 6

Step 3: LCM = 24

\(\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}\)

\(\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}\)

So 2/3 is the smallest fraction,  which means 2/3 spent the least amount from the salary.

Therefore, Upen saves the greatest amount every month.

Answer:  9/10

=======================================================

Explanation:

Imagine a pizza split into 5 equal slices. Then imagine that you split each slice in half. This means we now have 5*2 = 10 slices.

Eating 3 out of the original 5 is equivalent to eating 6 smaller slices out of the now 10 total.

In other words:  The fraction 3/5 is the same as 6/10

Put another way: Multiply top and bottom of 3/5 by 2 to get 6/10.

---------------

Gary painted 3/10 of the fence in the morning, and then 3/5 of it in the afternoon. We can replace the "3/5" with "6/10".

3/10 + 6/10 = (3+6)/10 = 9/10 total

Going back to the pizza scenario, we can imagine 3/10 as eating 3 slices out of 10 total. Then 6/10 adds 6 more slices to get 3+6 = 9 slices total. That's how we end up with 9/10 as the answer.

5^2

5x5=25

5^2=25

answer is 25

Answer: 25

Explanation: Ya welcome.

Answer:

Step-by-step explanation:

\(a(n) = a1 *(1.25)^{(n-1)}\)

\(a(1) = 5\)

\(a(2) = 5*(1.25)^{(2-1)}\\a(2) = 5*(1.25)^{1}\\a(2) = 5*(1.25)\\a(2) = 6.25\)

\(a(3) = 5 * (1.25)^{(3-1)} \\a(3) = 5 * (1.25)^{2}\\a(3) = 5 * 1.565\\a(3) = 7.813\)

\(a(4) = 5* (1.25)^{(4-1)}\\ a(4) = 5* (1.25)^{3}\\a(4) = 5* 1.953\\a(4) = 9.766\)

\(a(5) = 5 * (1.25)^{(5-1)}\\a(5) = 5 * (1.25)^{4}\\a(5) = 5 * 2.441\\a(5) = 12.207\)

\(a(6) = 5 * (1.25)^{5}\\a(6) = 5 * 3.052\\a(6) = 5 * 3.0517\\a(6) = 15.259\)

\(a(1) = 5\)

\(a(2) = 6.25\)

\(a(3) = 7.813\)

\(a(4) = 9.766\)

\(a(5)=12.207\)

\(a(6)=15.259\)

The answers are:

a) The z-score for a light bulb that lasts 500 hours is -10.

b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.

c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.

d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.

a) The z-score is calculated as:

z = (X - μ) / σ

Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,

z = (500 - 1000) / 50 = -10.

The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.

b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is

50/√20

≈ 11.18 hours.

z = (980 - 1000) / 11.18 ≈ -1.79.

The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.

c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:

z = (400 - 1000) / 50 = -12.

The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.

d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.

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Answer:

C-17 I think my bad

Step-by-step explanation:

Answer:

we have:

10*(9x-1+10)=9(9+11)

10(9x+9)=9*20

9(x+1)=9*20/10

x+1=18/9

x+1=2

x=2-1

x=1

Now

RS:9×1-1=8