Can a triangle be formed with side lengths 17, 9, and 8? Explain.

Answer:

1725ft^2

Step-by-step explanation:

I have made it in above picture

-2x+8y-3

Hope this helps! :)

Answer:

-2x + 8y -3

Step-by-step explanation:

-2x = -2x

2y + 6y = 8y

-3  = -3

Answer:  yes i think they are

Step-by-step explanation:

hope it helps:)

Answer

2(6−3x)+x=−5x+12

2(3x)+x=7x

Answer:

40°, 80°, 100°, and 140°

Step-by-step explanation:

All the angles in a quadrilateral add up to 360°

Use the given ratio to write an equation.

2x +4x +5x +7x=360

Combine like terms.

18x = 360

Divide by 18.

x = 20

The angles are 2x, 4x, 5x, and 7x.

Substitute 20 for the x.

2(20) = 40

4(20) = 80

5(20) = 100

7(20) = 140

The angles are 40°, 80°, 100°, and 140°

Answer:

I like science right now but last year i was a huge history buff

Answer:

History cuz i never pay attention but still gets A's

Step-by-step explanation:

Answer:

20.4 pounds

Step-by-step explanation:

Given that:

Weight of a coin = 7^-2 pounds

Weight of 1000 coins will be :

Weight per coin * number of coins

7^-2 * 1000

0.0204081 * 1000

= 20.408 pounds

= 20.4 pounds

The measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

Scale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.

The dilation if the triangle ABC implies it is bigger than the triangle A'B'C' with a scale factor 1/2 since AC = 10 and A'C' = 5

side A'B' = 8 × 1/2

side A'B' = 4

Therefore, the measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

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Answer:

the answer is B, 4. :)

Answer:

B. John's boat was farther from the dock at the beginning, and it

traveled more quickly

Step-by-step explanation:

l did the test

The boat was farther from the dock at the beginning, and which traveled more quickly is option is B John's boat was farther from the dock at the beginning and it traveled more quickly

Distance is a numerical measurement of how far apart objects or points

The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time

At beginning John's boat was 20 miles from dock

After 5 hours its was 55 miles form the dock

Speed of the boat = Distance / Time

Speed = \(\frac{55-20}{5}\)= 7 miles per hour

Robert boat is represented by the function

y=6x+10

at starting x=0

y = 10 miles away from the dock

After 5 hours x=5

y = 6×5+10

y=40 miles away from the dock

Speed of the Robert's boat = \(\frac{40-10}{5}\)

Speed = 6 miles per hour

Hence, The boat was farther from the dock at the beginning, and which traveled more quickly is option is B John's boat was farther from the dock at the beginning and it traveled more quickly

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Answer:

the answer is this hope it helps

Answer:

1+(x/4)

Step-by-step explanation:

I like to add the parenthesis so it hlps me realize that the qoutient is first to be solved. and 1 more than is always adding

Step-by-step explanation:

f(x) = 3x - 7

f (-2w + .5) = 3(-2w + .5) - 7

= -6w + 1.5 -7

= -6w - 5.5

According to given model income level corresponds to the minimum percent of charity contributions is 5%.

The given function is P(x)=0.0014x² - 0.1529x + 5.855, 5≤x≤10.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Check the critical points and end points to test for any absolute extrema over the given interval.

Absolute Maximum: (5,5.1255)

Absolute Minimum: (10,4.466)

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (54.60714285,1.68028392)

Focus: (54.60714285,180.2517125)

Axis of Symmetry: x=54.60714285

Directrix: y=−176.89114464

Now, P(5)=0.0014(5)² - 0.1529(5)+5.855

= 5.1255

≈5%

Therefore, according to given model income level corresponds to the minimum percent of charity contributions is 5%.

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The ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions.

In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the sphere is denoted by the letter r, and the specified point represents its center.

Balls, bubbles, planets, and water drops are a few easy examples.

Every point on a sphere's surface is equally spaced from the center, and the object has no edges or vertices.

So, let's take the 2 radii:

x where x is 5.

5x where 5x is 25.

Now, calculate the volume of the sphere in both cases.

Sphere volume formula:

V = 4/3πr²

Where r = 5.

V = 4/3πr²

V = 523.59878

Round off: 524 units²

Where r = 25.

V = 4/3πr²

V = 65449.84695

Rounding off: 65450 units²

Now, divide to find the ratio:

65450/524 = 124.90

Rounding off: 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

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Complete question:

If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is ____.

Select one:

A. 0.008

B. 25

C. 125

D. 5

E. 0.2

The equation of the line will be y = \(\dfrac{1}{5}x + \dfrac{12}{5}\)

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First, we need to find the equation of the line that is given:

We can use the formula,

\(m = \dfrac{y_1 - y_2}{x_1-x_2}\)

\(m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}\)

So the equation for this line is  

y = (1/5) x - 3

This means that the equation for the line we are trying to find has a slope of as well

Let's put the points in the equation and try to find the y-intercept:

2 = \(\dfrac{1}{5}\) ( -2 ) + b

\(\dfrac{15}{5} = b\)

So the final equation for the line we are trying to find is y = \(\dfrac{1}{5}x + \dfrac{12}{5}\)

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Since the parabolic cross section of a swirling glass of water, where x and y are measured in centimeters (-4, 3. 20) and (4. 3. 3)

Therefore, About 8 cm wide is the mouth of the glass.

Parabola:

In mathematics, a parabola is a planar curve that is mirror symmetric and roughly U-shaped. This corresponds to several distinctly different mathematical descriptions that can be presented to define the same curve.

One description of a parabola includes a point (focal) and a line (directrix). The focus is not on the director. A parabola is the locus of points equidistant from both the directrix and the focus in this plane.

Another description of a parabola is that of a conic section formed by the intersection of a straight conical surface and a plane parallel to another plane tangent to the conical surface.

Now,

The mouth of the glass is about 8 cm wide. Since the cross section is parabolic, we can find the width of the mouth by finding the distance between the two x-intercepts of the parabola.

From the diagram, we can see that the parabola intersects the x-axis at x = -4 and x = 4. Therefore, the distance between these two points, which represents the width of the mouth of the glass, is:

width = 4 - (-4) = 8 cm

Therefore, the mouth of the glass is about 8 cm wide.

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Answer:

The full price was $176.

Step-by-step explanation:

To solve this problem, solve backwards. Since the total is $100, you subtract $12 from it, which leaves you with $88. You then multiply $88 by 2 (for the half price).

The MATLAB function to calculate the cross products of two vectors is w = cross(v,u). The cross products of  v =  i + 2j + 3k and  u = 3i + 2j + k is -4i + 8j - 4k and the cross product of v =  -2i + j - 3k and  u = i + j + k is 4i - j - 3k.

The MATLAB syntax to calculate the cross product of two vectors or matrices is:

C = cross (A,B)

The arguments A and B should be vectors in length of 3 or matrices with the same dimension.

a) The given vectors are v =  i + 2j + 3k and  u = 3i + 2j + k

Hence, the  MATLAB syntax is:

v = [1 2 3];

u = [3 2 1];

w = cross(v,u)

And the results will be:

w = 1x3

      -4  8  -4

Hence,

v x u = -4i + 8j - 4k

b) a) The given vectors are v =  -2i + j - 3k and  u = i + j + k

Hence, the  MATLAB syntax is:

v = [-2 1 -3];

u = [1 1 1];

w = cross(v,u)

And the results will be:

w = 1x3

      4  -1  -3

Hence,

v x u = 4i - j - 3k

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A box plot is a graphical representation of data that is based on five-number summary (option b)

A box plot is based on a five-number summary, which forms the foundation of its construction. The five-number summary consists of five key values calculated from a dataset: the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. These values divide the dataset into four equal parts, and together they offer insights into the spread and distribution of the data.

To complete the box plot, we draw two lines, called whiskers, extending from the box. The whiskers typically reach up to 1.5 times the IQR, or they can extend to the minimum and maximum values if there are no outliers. Any data points beyond the whiskers are considered outliers and are represented as individual points.

By using a box plot, we can easily identify skewness in the data, the presence of outliers, and compare multiple distributions side by side. It helps us gain insights into the symmetry, spread, and central tendency of the dataset, making it a valuable tool for data analysis and visualization.

Hence the correct option is (b)

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Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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1.a The probability of throwing at most 2 heads in 5 throws is more probable.

1.b A total of 2^4 = 16 outcomes.

1.c The probability of selecting a black ball, a red ball, and then another black ball is 5/56.

1a. Probability of throwing exactly 15 heads in 20 throws

Probability of getting a head is p = 0.65, and the probability of getting tails is q = 1 - 0.65 = 0.35.

Let X be the random variable which counts the number of heads in 20 throws.

Then X follows the binomial distribution B(20, 0.65).P(X = 15) = 20C15 * 0.65^15 * 0.35^5= 0.16

Probability of throwing at most 2 heads in 5 throws

Let Y be the random variable which counts the number of heads in 5 throws.

Then Y follows the binomial distribution B(5, 0.65).P(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2)

                                                                                                  = 0.01 + 0.08 + 0.25

                                                                                                  = 0.34

Therefore, the probability of throwing at most 2 heads in 5 throws is more probable.

1b. Suppose we flip a fair coin 4 times.

For what combination(s) do there exist exactly 3 permutations?

There are a total of 2^4 = 16 outcomes.

The combinations that exist in exactly 3 permutations are HTTH, HTHT, THHT, THTH, and HHTT.

1c. Probability of selecting a black ball, a red ball, and then another black ball We want to compute the probability of pulling out 3 balls, without replacement, from a box with 5 red balls and 3 black balls.

The total number of ways of pulling out 3 balls is 8C3.

The probability of pulling out a black ball on the first draw is 3/8.

The probability of pulling out a red ball on the second draw is 5/7.

The probability of pulling out another black ball on the third draw is 2/6 = 1/3.

So, the required probability is (3/8) * (5/7) * (1/3) = 5/56.

Therefore, the probability of selecting a black ball, a red ball, and then another black ball is 5/56.

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\(\\ \sf\longmapsto x^2=3(9)\)

\(\\ \sf\longmapsto x^2=27\)

\(\\ \sf\longmapsto x=\sqrt{27}\)

\(\\ \sf\longmapsto x\approx 5.2\)

\(x^2 = 3(9)\)

\(x^2 = 27 \)

\(x = \sqrt {27}\)

\(x = 5.2 \)

Answer:

option C

Step-by-step explanation:

Let ABC be the smallest triangle where

AB = 2cm ; BC = 4cm ; AC = 3cm

ABC = h° ; ACB = g° ; BAC = i °

Let XYZ be the largest triangle where

XY = 4cm ; YZ = 8cm ; XZ = 6cm

XYZ = f ° ; YZX = e°

It's given that ABC & XYZ are similar . So ,

\( \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} \)

=> (AB & XY) ; (BC & YZ) ; (AC & XZ) are corresponding sides.

=> (ABC & XYZ) ; (ACB & YZX) ; (BAC & YXZ) are corresponding angles.

Hence,

(h & f) ; (e & g) are corresponding angles

Answer:7w+10x

Step-by-step explanation:

The probability of choosing a 5 and then a 6 is 1/49

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

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer:

400

Step-by-step explanation:

perimetro

130 + 130 + 70 + 70 = 400

Answer:

perimetro

130 + 130 + 70 + 70 = 400

Step-by-step explanation:

Answer:

slope:(-0.5) y-intercept:0 equation:(-0.5x)

Step-by-step explanation:

To find slope, you use the formula y2-y1/x2-x1

For example, I used the first 2 sets of coordinates used in the table

(-2,1)&(-1,0.5)

First Part: 0.5-1= -0.5

Second part: -1-(-2)=1

Third Part: -0.5/1=(-0.5)

Y-intercept: In order to find the y-intercept, x needs to be 0.

Y-intercept=0

Equation:

The form for the equation should be, mx+b

B=Y-intercept

M=Slope

X=variable

The slope is -0.5 and you add the x after -0.5

Since the y-intercept is 0, it doesn't have a value so putting 0 at the end would be unnecessary. Slope:-0.5x

Answer:

x374874593893

Step-by-step explanation:

eaddthemalltogethertogethtatjbifmwhumebry38578494029 aso add the m

Hence, we can conclude that the value of the length of the rectangular base is 4 meters.

option b is correct.

'A rectangular pyramid is a type of pyramid with the base shaped like a rectangle but the sides are shaped like a triangle. A pyramid usually has triangular sides but with different bases.

According to the given problem,

Volume = 120 cubic meters

Height = 15 m

Width of rectangular base = 6 meter

Let the length be x,

\(v=\frac{lwh}{3}\)

\(120=\frac{x*15*6}{3}\)

360=90x

x=4 meter

Hence, we can conclude that the value of the length of the rectangular base is 4 meters.

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Answer:

no solution

Step-by-step explanation:

Given

\(\frac{x-2}{2}\) + \(\frac{x-2(x-4)}{6}\) = \(\frac{x}{3}\)

Multiply through by 6 ( the LCM of 2, 6, 3 ) to clear the fractions

3(x - 2) + x - 2(x - 4) = 2x ← distribute parenthesis on left side

3x - 6 + x - 2x + 8 = 2x

2x + 2 = 2x ( subtract 2 from both sides )

2x = 2x - 2 ( subtract 2x from both sides )

0 = - 2 ← not possible

This indicates the equation has no solution

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7