What are the limitations of the ski slope scenario as a real-life example?

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE, then angles D and B are congruent and angles C and E are congruent as well. This means that triangles ABC and ADE are similar by the AAA (or AA) similarity theorem.

We know that similar triangles are in proportion. This means that [tex]\frac{AC}{AE} = \frac{AB}{AD}[/tex]

Now, we can plug the values given into that equation:

[tex]\frac{x}{x+15} = \frac{8}{18}[/tex]

Now, cross multiply:

18x = 8(x + 15)

Now, we can simplify this equation and solve for x, or AC.

18x = 8x + 120

Subtract 8x from both sides:

10x = 120

Divide both sides by 10:

x = 12

Hope this helps!

Answer:

AC: 12

Step-by-step explanation:

Answer:

1. No; 2. 16; 3. No; 4. Yes

Step-by-step explanation:

1. Home states of Olympic swimmers

A dot plot compares frequency counts within groups, usually with small sets of data.

Thus, it is great for visualizing quantitative data.

Home states are qualitative data.

It might be better to use a packed bubble chart, especially if more than 20 to 30 states are on the team.

In such a chart, the frequency with which the state name is mentioned would determine the relative bubble size.

It might look like the imaginary chart shown below.

A dot plot would not be appropriate.

2. Number of students

No. of students = 2 + 1 + 2 + 3 + 2 +1 + 1 + 2 + 2 = 16

3. Is this an adult swimming class?

The ages of the students range from 18 mo to 32 mo.

This is not an adult swimming class.

4. Ages of half the students

Half of 16 students is eight students.

The eight oldest students range in age from 25 mo to 32 mo.

This is between the ages of 2 yr to 3 yr (24 mo to 36 mo), so

Half the students are between 2 yr and 3 yr old.

Answer:

(1. No) (2. 16) (3. No) (4. Yes)

Step-by-step explanation:

Hope this helps!!

Answer:

Both are correct.

Step-by-step explanation:

A square is a rhombus because it has 4 equal sides but it also has two pairs of parallel side which therefore makes it a parallelogram as well.

Answer:

[tex]9[/tex]

Step-by-step explanation:

The prime factorization of [tex]192[/tex] is [tex]2^6 \cdot 3[/tex], and since [tex]2^6[/tex] is already a perfect cube of [tex]4[/tex], we just have to deal with the [tex]3[/tex]. To make it a perfect cube, we have to multiply [tex]3[/tex] three times, and so we have to make it [tex]3 \cdot 3 \cdot 3[/tex], and we already have one three so we just add the other two threes, which equal [tex]3^2=9[/tex].

Answer:

Step-by-step explanation:

its basically the success you expect after the work you put in. success is not guarenteed here. thats all i got to say.

Answer: It is something you put a lot of time in to do something. Success is not Guarenteed here in this world. And that is a fact. I just started middle school and I barly past 6th grade. Life can be very hard for lot's of people. Don't give up because of one thing keep going. (And no I am not an old lady I am only 12 years old.)   Have a very nice life. =D

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Answer:

b

Step-by-step explanation:

an acute angle is an angle that is smaller than 90 degrees.

if the angle is exactly 90 degrees, then it is a right angle.

anything larger than 90 degrees is considered to be an obtuse angle.

Hope this helps for other questions like this as well!

Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

If the measure of the angle is less than 90°, then the angle is an acute angle.

If the measure of the angle is equal to 90°, then the angle is a right angle.

If the measure of the angle is greater than 90°, then the angle is an obtuse angle.

Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.

More about the angled link is given below.

https://brainly.com/question/15767203

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Answer:

y=1/2x - 1/2

Step-by-step explanation:

Slope intercept form is y=mx+b

The m is the slope of the line and the b is the y-intercept.

You must first the slope. The formula of a slope is (y1-y2)/(x1-x2). In this example it is (-2-3)/(-9-1) which equals 1/2. By order of elimanation we can see that y=1/2x-1/2 is correct.

Answer:

-22 1/2

Step-by-step explanation:

-2 1/2 *s

Let s = 9

-2 1/2 (9)

Change to an improper fraction

-5/2 *9

-45/2

Change back to a mixed number

-22 1/2

Answer:32/3

Step-by-step explanation:

1/3(2)4^2

1/3(2)(4^2)

2/3(16)

32/2

Answer:

f(2)=16/3

Step-by-step explanation:

f(2)=1/3 (4^2)

f(2)=1/3(16)

f(2)=16/3

Answer:

3 b 11 6

Step-by-step explanation:

3 b 1 2 ⋅ b 4 3

Move  

b 4 3 . 3 ( b 4 3 b 1 2 )

Use the power rule  

a m a n = a m + n

to combine exponents.

3 b 4 3 + 1 2

To write  

4 3

as a fraction with a common denominator, multiply by  

2 2 . 3 b 4 3 ⋅ 2 2 + 12

To write  1 2

as a fraction with a common denominator, multiply by  

3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3

Write each expression with a common denominator of  

6

, by multiplying each by an appropriate factor of  

1 .

Tap for more steps...

3 b 4 ⋅ 2 6 +3 6

Combine the numerators over the common denominator.

3 b 4 ⋅ 2 + 3 6

Simplify the numerator.

The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.

Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.

Answer:

17

Step-by-step explanation:

It's the only number that repeats and I also took the test :)

Answer:

14

Step-by-step explanation:

Answer: it is b

Step-by-step explanation: because you are trying to find the total of red paint

Answer:

A approximation of 34 minutes and 30 seconds each day .

Step-by-step explanation:

First you would need to convert 4 hours to minutes , so 1 hour equals 60 minutes - 60 min = 1 hour, 60 min times 4 = 240 minutes in total. There are 7 days in total of the week, 240 minutes - 7 days of the week : 240 divided by 7 , equals a approaximation of 34 minutes and 30 seconds each day.

The points (2, -5) when reflected across the origin becomes (-2, 5)

Reflection is a mathematical transformation of a shape by moving the vertices of the shape a distance equal to the distance between the line of reflection and the original point.

Other types of transformational processes are: Rotation and translation.

Analysis:

In transformation in the origin, the line of reflection is x = 0 and y = 0.

Which means both coordinates of the point would be changed.

At x = 2, 2 is 2 units from the origin. The only point which is 2 units away from the origin in the opposite side is -2.

Also at x = -5, that is 5 units away from the origin. The only point 5 units away from the origin is 5. so the new coordinate is 5.

In conclusion, the new point after reflection would be (-2, 5)

Learn more about reflection: brainly.com/question/1908648

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Answer:

2/15

Step-by-step explanation:

75u = 12 - 2

75u = 10

u = 10 / 75 = 2/15

Answer:

75u=12-2

75u=10

u=10/75

Answer:

5^15

Step-by-step explanation:

When the bases are the same, we add the exponents when multiplying

5^10 * 5^5

5^(10+5)

5^15

Answer:

5 to the power of 15

Step-by-step explanation:

Answer:

∠A is 118 degrees

Step-by-step explanation:

every triangle is 180 degrees

(3x+13) + (x-8) +(x) = 180

simplify

5x + 5 = 180

-5        = -5

5x = 175

175 divided by 5 is 35

so x= 35

∠A= 3(35) + 13

3 times 35 is 105

105 + 13 = 118

so ∠A is 118 degrees

hope this helps!

Answer:

The slope is 4

Step-by-step explanation:

Everytime x goes up by 1, y goes up by 4.

4/1=1

The slope of line is 4.

Therefore,the table represents the slop relationship between the lines....

please see the attached picture for full solution

hope it helps

Answer:6.3 in.

Step-by-step explanation:

Given

Radius of sphere [tex]r=4\ cm[/tex]

When ball is immersed in beaker, it causes the water to flowout of beaker which is collected in the conical vessel

Such that amount of water equivalent to sphere volume is collected in it.

volume of ball

[tex]V_s=\frac{4\pi }{3}r^3[/tex]

[tex]V_s=\frac{4\pi }{3}\times 4^3[/tex]

[tex]V_s=\frac{256\pi }{3}\ cm^3[/tex]

Now volume of water collected is in shape of cone then volume of cone

[tex]V_c=\frac{\pi }{3}r^2h[/tex]

and [tex]V_s=V_c[/tex]

[tex]\frac{256\pi }{3}=\frac{\pi }{3}(4)^2\times h\ quad [\text{h=height of cone formed}][/tex]

[tex]h=4^2=16\ cm\approx 6.29\approx 6.3\ in.[/tex]

Answer:

4.5 + pi (3.14) is a  rational because it is a terminating decimal.  irrational because it is a non-terminating and non-repeating decimal.

hope this helped!

Answer:

5

Step-by-step explanation:

Let's call the length AD y.

[tex]\dfrac{x+2}{y}=\dfrac{8x-14}{2y} \\\\\\2(x+2)=8x-14 \\\\\\2x+4=8x-14 \\\\\\4=6x-14 \\\\\\6x=18 \\\\\\x=3 \\\\\\DE=x+2=3+2=5[/tex]

Hope this helps!

Answer:

15.94490514

Step-by-step explanation:

First, work out the average, or arithmetic mean, of the numbers:

Count: 5(How many numbers)

Sum: 357(All the numbers added up)

Mean: 71.4(Arithmetic mean = Sum / Count)

Then, take each number, subtract the mean and square the result:

Differences:

4.6, -26.4, -7.4, 8.6, 20.6

(Every Number minus Mean)

Differences^2:

21.16, 696.96, 54.76, 73.96, 424.36

(Square of each difference)

Now calculate the Variance:

Sum of Differences2:1271.2(Add up the Squared Differences)

Variance:254.24(Sum of Differences2 / Count)

Lastly, take the square root of the Variance:

Standard Deviation:15.94490514 (The square root of the Variance)

Answer:

4

Step-by-step explanation:

The triangle itself

Also the 3 at the top

They are the only ones with 3 sides

Answer:

9 triangles

Step-by-step explanation:

Answer:

number 4 is D

Answer:

#4 is D

annnnnnnddddddddddddd............. I dont see the answers for number 5 ;(

Answer:

n = - 5

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]

Consider the left side

[tex]\frac{y^4.y^{n} }{y^2}[/tex]

= [tex]\frac{y^{4+n} }{y^2}[/tex]

= [tex]y^{4+n-2}[/tex]

= [tex]y^{2+n}[/tex], then

[tex]y^{2+n}[/tex] = [tex]y^{-3}[/tex]

Since the bases on both sides are the same, equate the exponents

2 + n = - 3 ( subtract 2 from both sides )

n = - 5

Answer:

She will get $320 in Canada

Step-by-step explanation:

multiply $350*1.28 witch is the Canadian dollar currency

that gets you $320

Answer:

Two sides of the rectangle will extend from the wall of the house, one side of the rectangle will run parallel to the house 40 ft..

Step-by-step explanation:

2x + 40 = 150

or

x + x + 40 = 150

Answer:

9.622 x 10^6

Step-by-step explanation:

Answer:

9,622*10 to the power of 3

Step-by-step explanation:

when using scientific notations you use ''10 to the power of ''

So in this case you have 3 zeroes which makes it 10 to the power of 3

[tex]9622000=9622*10^{3}[/tex]

Answer:

She needs to score 82

Step-by-step explanation:

Mean of five test scores = 82

Let the score she got in fifth test = x

[tex]\frac{84+93+91+60+x}{5}=82\\\\\frac{328+x}{5}=82\\\\328+x=82*5\\\\328+x=410\\\\x=410-328\\\\x=82[/tex]

Answer: [tex]x= \frac{-1+\sqrt{97} }{8} , \frac{-1-\sqrt{97} }{8}[/tex]

Step-by-step explanation:

Use the Quadratic Formula .. if you use Completing the Square it'll take longer!!

In general, given [tex]ax^{2} +bx+c=0[/tex] , there exists two solutions where:

[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a}[/tex] , [tex]\frac{-b-\sqrt{b^{2} }-4ac}{2a}[/tex]

In this case, a=4 , b=1 and c= -6

[tex]x= \frac{-1+\sqrt{1-4*4*-6} }{2*4}[/tex] , [tex]\frac{-1-\sqrt{1-4*4*-6} }{2*4}[/tex]

Simplify.

[tex]x=\frac{-1+\sqrt{97} }{8}[/tex] , [tex]\frac{-1-\sqrt{97} }{8}[/tex]