100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!

Step-by-step explanation:

706 -25 = 681 ====>    which is three pieces of 681/3 = 227 m

              but one is 25 m longer so 227,  227 , and 227 + 25 =252 m

Thus, the perimeter of the shown triangle using the distance formula is found as  13.45 units.

A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.

Given that:

Perimeter = sum of all sides

Perimeter = AB + BC + CA

Estimate each distance using the distance formula:

d = √(x2 - x1)² + (y2 - y1)²

AB = √(1 - 5)² + (5 - 3)²

AB = √(-4)² + (-2)²

AB = √(16 + 4)

AB = √20

BC = √(3 - 1)² + (0 - 5)²

BC = √(2)² + (-5)²

BC = √(4 + 25)

BC = √29

CA = √(5 - 3)² + (3 - 0)²

CA = √(2)² + (3)²

CA =  √(4 + 9)

CA = √13

Perimeter = AB + BC + CA

Perimeter = √20 + √29 + √13

Perimeter = 4.47 + 5.38 + 3.60

Perimeter = 13.45 units.

Thus, the perimeter of the shown triangle using the distance formula is found as  13.45 units.

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Answer: D-perimeter

Step-by-step explanation: The sum of the lengths of all the sides of a closed figure is called its perimeter.

Answer:

Perimeter

Step-by-step explanation:

The sum of the lengths of all the sides of a closed figure is called its perimeter.

The median is the best measure of center, and it equals 8.

A measure of center is important to understand the central tendency of data.

In this case, the best measure of center for the given data is the median.

The median is preferred over the mean because it is not influenced by extreme values.

By looking at the line graph, it is clear that there are more data points around 8 than any other value.

Therefore, the median would be closest to 8, making it the best measure of center. The median can be calculated by ordering the data from smallest to largest and selecting the middle value.

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On day zero, the number of students who know the rumor are 2 people who are Susanna and Liz.

On day 2, the number of students would be 12 students.

The number of days till 32 students know the rumor is 6 days.

2 students (Susanna and Liz) know the rumor on day 0.

On day 2, the number of students who know the rumor will be the initial number of students (2) plus 5 students for each day that has passed (5 * 2 = 10). So, on day 2, 2 + 10 = 12 students know the rumor.

To find the number of days it will take for 32 students to know the rumor, we can set up an equation using the given information:

2 (Susanna and Liz) + 5 x number of days = 32

Now, we can solve for the number of days:

5 x number of days = 32 - 2

5 x number of days = 30

number of days = 30 / 5

number of days = 6

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The probability that the pink can was chosen because the cookie was a sugar cookie is about 0.282, or about 28.2%.

Probability is simply how likely something is to happen. When we are uncertain about the outcome of an event, we can talk about the probability of certain outcomes - how likely they are. The analysis of events driven by probabilities is called statistics.  

We can use Bayes' theorem to calculate the probability that the pink can was chosen because the cookie was a sugar cookie. Let P(P) be the probability that the pink jar was chosen, P(S) be the probability that the chosen cookie  was a sugar cookie, and P(S|P) be the probability that a sugar cookie was chosen given that the pink one was chosen. Then we have:

P(P|S) = P(S|P) * P(P) / P(S)

We can calculate all these probabilities as follows:

P(S|P) = 9 / (15 9 13) = 9/37

This is the probability of choosing a sugar cookie, given that the pink can was chosen.  

P(P) = 1/4

This is the probability of choosing the pink can.

To calculate P(S), we need to consider all possible options for choosing a sugar cookie. We can choose a sugar loaf from a blue, green  or  pink jar. So:

P(S) = P(S|B) * P(B) P(S|G) * P(G) P(S|P) * P(P)

where P(S|B) is the probability of choosing a sugar cookie from the blue jar, P(G) is the probability of choosing the green jar, and so on. We can calculate all these probabilities as follows:

P(S|B) = 12 / (7 12) = 12/19

P(S|G) = 8 / (6 8 5) = 8/19

P(S|P) = 9 / (15 9 13) = 9/37

P(B) = 1/2

P(G) = 1/4

P(P) = 1/4

So,

P(S) = (12/19) * (1/2) (8/19) * (1/4) (9/37) * (1/4) = 271/444

We can now calculate P(P|S) using Bayes' theorem:

P(P|S) = (9/37) * (1/4) / (271/444) ≈ 0.282

Therefore, the probability that the pink can was chosen because the cookie was a sugar cookie is about 0.282, or about 28.2%.

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Because the sine of angle ACB = 3/5, then the sine of angle ANM will be equal to 3/5 too.

A triangle is a shape with 3 sides. There are 3 types of triangle which are:

From the diagram, we can see that we have a small triangle inside a big triangle. From the principle of triangle, the angle C is equal to angle N.

Let us say angle C is 30° then the angle N will also be equal to 30*. Therefore the angle ACB = angle ANM = 3/5

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Step-by-step explanation:

always and you come across a question that needs you to find the time or the distance or the speed the first thing that you need to think of is a triangle based formula so this is what you do you're right DStv in a triangle but you won't include the V therefore it will be DST and you just look at mainly at the formulas and try to identify the one that you're looking for and the way forward for example distance I have already drawn my small triangle and it's revealing that distance is equal to speed times time and speed is equal to a distance divided by time and time is equal to distance divided by speed in this case we're looking for the distance therefore I supposed to say speed time so was supposed to say 70 * 49,000 to get your answer

The angle of depression that the paper airplane is flying down at 55. 78 degrees

Note that the different trigonometric identities in mathematics are;

These identities also have their ratios are;

sin θ = opposite/hypotenuse

cos θ = adjacent//hypotenuse

tan θ = opposite/adjacent

From the information given, we have;

Using the cosine identity

Adjacent = 9 feet

Hypotenuse = 16 feet

Substitute the values

cos θ = 9/ 16

divide the values

cos θ = 0. 5625

θ = 55. 78 degrees

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Answer:

55.8° (nearest tenth)

Step-by-step explanation:

The angle of depression is the angle between the horizontal line of sight at the top of the treehouse and line of sight to the sandbox (the flight path of the paper airplane). (See attached diagram).

To find the angle of depression, we can use the cosine trigonometric ratio. The cosine of an angle is equal to the ratio of the length of the side adjacent the angle to the length of the hypotenuse.

[tex]\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

In this case, the length of the side adjacent the angle of depression is equal to the distance between the base of the tree and the sandbox, so A = 9 ft. The hypotenuse is the distance the airplane flies through the air, so H = 16 ft.

Substitute these values into the cosine ratio and solve for θ:

[tex]\cos (\theta)=\dfrac{9}{16}[/tex]

[tex]\theta=\cos^{-1}\left(\dfrac{9}{16}\right)[/tex]

[tex]\theta=55.7711336...^{\circ}[/tex]

[tex]\theta=55.8^{\circ}\; \sf (nearest \; tenth)[/tex]

Therefore, the angle of depression that the paper airplane is flying down at is 55.8° (nearest tenth).

Answer:

need better photos

Step-by-step explanation:

Answer: Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.

Step-by-step explanation:

Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.

The measure of arc BC is 40⁰.

The measure of angle BPE is 50⁰.

The measure of angle BAD is 55⁰.

The measure of angle AOP is 110⁰.

The measure of angle AFB is 70⁰.

The value of arc DE is 110⁰.

The measure of each angle is calculated as follows;

if arc BA = arc CD, then value of arc BC is calculated as follows;

BA + CD + BC = 180 (sum of angles of a semi circle)

arc CD = 70 (intersecting chord theorem)

70 + 70 + BC = 180

140 + BC = 180

BC = 180 - 140

BC = 40

Arc AE = 70⁰, since angle EOF = 70 (vertical opposite angles)

Arc AB = 180 - (AE + BC)

arc AB = 180 - (70 + 40)

arc AB = 70⁰

The value of angle P is calculated as follows;

arc EB = 70 + 70 = 140⁰

m∠BPE = ¹/₂ (140 - 40)

m∠BPE = 50⁰

m∠BAD = ¹/₂ (BC + CD) (intersecting chord theorem)

m∠BAD = ¹/₂ (40 + 70)

m∠BAD = 55⁰

m∠AOP =  (AB + BC) (intersecting chord theorem)

m∠AOP = (70 + 40)

m∠AOP = 110⁰

m∠AFB = (AB) (intersecting chord theorem)

m∠AFB = 70⁰

The value of arc DE is calculated as follows;

DE = 360 - (180 + CD) (sum of angles of a circle)

DE = 360 - (180 + 70)

DE = 360 - 250

DE = 110⁰

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The incorrect statement regarding the dilation is given as follows:

2. The transformation can be represented by (7x/3, 7y/3).

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, we have that:

Hence the scale factor is given as follows:

k = 3/7.

And the rule is then given as follows:

(3x/7, 3y/7).

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The value of tanQ is 4/3

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

The values of the functions are expressed as follows;

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

The opposite in the triangle is 12 and the adjascent is 9 while th hypotenuse is 15.

therefore , since tan(tetha) = opp/adj

then, tanQ = 12/9

simplifying the value to the nearest term,

tanQ = 4/3

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The reasonable constraint so the function is at least 600 would be A. 0 ≤ x ≤ 20.

Given the function y = -2x² + 40x + 600, we want to find the constraint for x so that the function's value is at least 600.

Since the parabola opens downward (as a is negative), the function will be at least 600 for all values of x within the interval where the parabola is above y = 600. The vertex of the parabola is at its maximum value, so we should look for the interval around the vertex (10, 800).

Looking at the given constraints, the option "0 ≤ x ≤ 20" is a reasonable constraint that ensures the function is at least 600. The parabola starts at a value of 600 at x = 0, reaches its maximum value at the vertex, and then returns to a value of 600 at x = 20.

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Answer:

the on side to side is the x axes and the y one is up and down

Step-by-step explanation:

The correct term in each box, if necessary, use / for the fraction bar are a = 1/7-4i, b = 1/13.

In mathematics, a fraction bar is a visual representation of fractions that facilitates fraction comparison and fraction operation. Part-to-whole representational models like fraction bars or fraction strips are used. One unit out of a whole is represented by each segment of a fraction bar.

We need to be aware of an aspect of imaginary numbers in order to determine the values of variables a and b. The following rule applies to the hypothetical unit:

Therefore, the correct terms are 1/7-4i, b = 1/13.

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The length of the side b of the right triangle is 76 units.

A right angle triangle is a triangle that has one of its angles as 90 degrees. Therefore, the side b of the right triangle can be found as follows:

tan 30° = opposite / adjacent side

where

opposite side = a = 44 units

adjacent side = b

Therefore,

tan 30° = 44 / b

cross multiply

b = 44 / tan 30

b = 44 / 0.57735026919

b = 76.2102710661

Therefore,

b = 76 units

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Answer: A

Step-by-step explanation: The distance for the ball to travel straight from Jose to Harlan is less than what it would be if she were to pass it to Alma first. You can use the distance formula to find this (find the distance between Jose and Harlan, and compare it to the sum of the distances between Jose and Alma and Alma and Harlan)

Answer:

9

Step-by-step explanation:

7 1/2 divided by 5/6 would equal 9.

first step: convert the mixed number into an improper fraction.

7 1/2 = 15/2

2nd step: change the operation. (KCF)

keep the first term - change the operation - flip the second term

so, 15/2 x 6/5 =.

15x6=90

2x5=10

90/10 = 9

hope it helps!

The sketch of the graph of y = 1/f(x) is added as an attachment

To find the function equation, we need to determine the factors of the equation based on the zeros of the function.

Since the zeros of the function are at x = -5, -1, and 4, the factors of the equation will be:

(x + 5), (x + 1), and (x - 4)

Multiplying these factors together gives us:

f(x) = a(x + 5)(x + 1)(x - 4)

To find the value of the constant term a, we can use the fact that the graph passes through the point (0, -4):

-4 = a(0 + 5)(0 + 1)(0 - 4)

-4 = -20a

So, we have

a = 1/5

Therefore, the function equation is:

f(x) = 1/5(x + 5)(x + 1)(x - 4)

For the graph of y = 1/f(x), we have

y = 5/[(x + 5)(x + 1)(x - 4)]

See attachment for the graph

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Answer:

Step-by-step explanation:

x + 5 = 3x - 7

-2x = -12

x = 6

x + 5 = 6 + 5 = 11

3(6) - 7 = 18 - 7 = 11

The horizontal asymptote   of  the given function is 0

Given the function y = 19800/x

Vertical asymptote occurs at when f(x) = 0 where;

f(x) is the denominator of the given function.

From the expression given: f(x) = x

Since f(x) => 0, hence x = 0

To get the horizontal asymptote, we will look at the degree of the numerator and denominator.

If the degree of numerator is less than the denominator,

the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.

Since 0<1, hence the horizontal asymptote is 0

x = 0, y = 0

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Answer:

See the below process

Step-by-step explanation:

let the Unknown value be x.

Now

[tex] \frac{17}{24} + x = \frac{ - 5}{12} [/tex]

[tex]x = \frac{ - 5}{12} - \frac{17}{24}[/tex]

Taking LCM

[tex]x = \frac{ - 10 - 17}{24} [/tex]

[tex]x = \frac{ - 27}{24} \\ = \frac{8}{9} [/tex]

we should add 8/9 to 17/24 to get -5/12

I hope it helped you

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Answer:

t = r + cm

Step-by-step explanation:

t = total amount of money spent on rental car

r equals the original payment amount (like how much it cost to even attain tthe car)

c = the number of dollars for every mile

m = amount of miles

You would multiply c and m since every mile the dollars goes up by itself

You need to add the original payment, r, to find the correct total

If there is no original payment then the formula could also just be :

t = cm

total = miles x money per 1 mile

I could provide better explanation if I had the chart you mentioned but hope this helps!

The value of x unknown for the given shape with given measurements 131°, 122°, 125°, 148°, 107°, 126° is equal to 141°.

The attached figure is seven sided polygon.

Seven sided polygon is called Heptagon.

Sum of all the interior angles of seven sided polygon = 900 degrees

Measurements are,

131°, 122°, 125°, 148°, 107°, 126°

Measurement of seventh angle is unknown.

let the measure of seventh angle be x°

⇒ x° + 131° + 122° + 125° + 148° + 107° + 126° = 900°

⇒ x° + 759° = 900°

⇒ x° = 900° - 759°

⇒ x° = 141°

Therefore, the value of x for the given shape with measurements is equal to 141°.

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The above question is incomplete , the complete question is:

what is the value of x if a shape has sides measuring 131, 122, 125, 148, 107, 126.

Attached figure.

In the formula, A is the amount after interest, P is the principal, r is interest rate in decimals, n is the amount of times the interest is compounded per year, and t is the amount of years.

Row 1 in the matrix multiplied by 1/4 will produce: 1/2, 0, and 3/4 respectively.

A rectangular array of numbers or mathematical objects which are arranged in rows and columns is called a matrix. Each row of a matrix is a horizontal sequence of numbers or objects that are separated by commas and enclosed within square brackets, and it represents a vector in the row space of the matrix.

row 1 of the given matrix are: 2, 0, and 3, multiplying row 1 with 1/4 gives;

1/4 × 2 = 1/2

1/4 × 0 = 0

1/4 × 3 = 3/4

Therefore, row 1 in the matrix multiplied by 1/4 will produce: 1/2, 0, and 3/4 respectively.

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The system of equations defined is:

x = 2y

x*0.05 + y*0.10 = 1.40

First we need to define the variables:

x = number of nickels

y = number of dimes.

Now we can find the equations, we know that he has twice as many nickels as dimes, then:

x = 2y

We also know that Tristan has $1.40 then we can write:

x*0.05 + y*0.10 = 1.40

So the system of equations is:

x = 2y

x*0.05 + y*0.10 = 1.40

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