I don't understand this problem

Answer:

Step-by-step explanation:

Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1. Distance between A(3, 4) and B(8, 12),

  AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]

  AB = [tex]\sqrt{25+64}[/tex]

        = [tex]\sqrt{89}[/tex]

        ≈ 9.43

2. Distance between C(-2, 10) and D(3, -2),

   CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]

         = [tex]\sqrt{25+144}[/tex]

         = [tex]\sqrt{169}[/tex]

         = 13.00

3. Distance between X(20, 4) and Y(17, 0),

    XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]

          = [tex]\sqrt{3^2+4^2}[/tex]

          = [tex]\sqrt{25}[/tex]

          = 5.00

4. Distance between E(2, -1) and M(6, 9),

    EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]

          = [tex]\sqrt{16+100}[/tex]

          = [tex]\sqrt{116}[/tex]

          = 10.77

Answer:

5/8 is the probability.

Step-by-step explanation:

Answer:

We can compute simple interest by finding the interest rate percentage of the amount borrowed, then multiply by the number of years interest is earned. Another type of interest calculates interest on both the money initialy deposited as well as the interest money earned, and is called compound interest.

Step-by-step explanation:

hope this helps

Step-by-step explanation:

formula for the first question:

a^2+b^2=c^2

8^2+6^2= 100

√100 = 10cm

Step-by-step explanation:

$182.50-$1.50=$181.00. Answer??

Answer(s):

[tex]\displaystyle y = 4cos\:(2x - \frac{\pi}{2}) - 1 \\ y = 4sin\:2x - 1[/tex]

Explanation:

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4cos\:2x - 1,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex] to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex] So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(2x - \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{\pi}{4}, -5],[/tex] from there to [tex]\displaystyle [\frac{3}{4}\pi, -5],[/tex] they are obviously [tex]\displaystyle \pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:   1132.616

lol-

Answer:

Lateral surface area means curved surface area

Total surface area means curved surface area + surface area of the bottom and top.

So i think its false

Step-by-step explanation:

Answer:

the answer is 1 5/12

Answer:

B) -7°c

Step-by-step explanation:

Answer:

$25.00

Step-by-step explanation:

well start of by using the rules of 3.

( always remeber that multiply is diagonal and divide left by one on the left)

Answer:

Step-by-step explanation:

?????????/

Answer:67.6

Step-by-step explanation:

Answer:

f

Step-by-step explanation:

because it's less than mine not less nine

Answer:

[tex]14.1[/tex]

Step-by-step explanation:

Since we have two sides of a triangle and the angle between them, we can use the Law of Cosines.

For any triangle, the Law of Cosines states:

[tex]b^2=a^2+c^2-2ac\cos B[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are all interchangeable.

Substituting given values, we have:

[tex]b^2=9^2+19^2-2(9)(19)\cos 45^{\circ},\\b^2=200.169480834,\\b\approx \boxed{14.1}[/tex]

Answer:

y = -1/2x + 8

Step-by-step explanation:

y = -1/2x + b

6 = -1/2(4) + b

6 = -2 + b

8 = b

Answer:

7.5

Step-by-step explanation:

The values 15ft, 13ft and x are the sides of a right triangle;

According to pythagoras theorem;

15² = 13²+x²

x² = 15² - 13²

x² = 225 -169

x² = 56

x = √56

x = 7.48

Hence the value of x to the nearest tenth is 7.5 to the nearest tenth

Answer:

g(x) is shifted left by two units

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]

Answer:

6 runners

Step-by-step explanation:

Complete question

A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer.  How many runners are needed for a team?

Given that;

1 runner = 1/4 km

If a relay race covers  1 1/2 km, hence;

x runner = 1 1/2 km

Divide both expressions

1/x = (1/4)÷(1 1/2)

1/x = 1/4 ÷ 3/2

1/x = 1/4 * 2/3

1/x = 2/12

Cross multiply

2x = 12

x = 12/2

x = 6

Hence 6 runners are needed for the race

Answer:

It would be option 2.

Step-by-step explanation:

This is because option 1 does not have a irrational number that goes on indefinitely, option three has the square root of 25, which equals 5 meaning it is rational, and the last option also gives us rational choices. Therefore, the only possibility is that it would be option 2.

Answer:

59%

Step-by-step explanation:

37 over 60 besides a 1 over 100

37        1

     =

63       100

cross multiply

37(100)=63(1)

3700=63

3700 divided by 63 = 58.7301..... which you can round up to 59%

Answer:

[tex]Pr = \frac{1}{870}[/tex]

Step-by-step explanation:

Given

[tex]n =30[/tex]

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]

Substitute [tex]n =30[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]

[tex]Pr = \frac{1}{30*29}[/tex]

[tex]Pr = \frac{1}{870}[/tex]

Answer: A= 51.3 B= 18.2 C=110.5

Step-by-step explanation:

The missing elements in the triangle are A ≈ 3.992°, B ≈ 170.008°, and c ≈ 5.4 units

To find the missing angle 'A', we can use the law of cosines, which states that for any triangle with sides 'a', 'b', and 'c' and opposite angles 'A', 'B', and 'C', the following relationship holds:

c² = a² + b² - 2ab * cos(C)

Plugging in the known values, we get:

c² = 5² + 2² - 2 * 5 * 2 * cos(6)

Now, we can solve for 'c':

c² = 29 - 20 * cos(6)

c² ≈ 28.8178

c ≈ √28.8178

c ≈ 5.4 (rounded to the nearest tenth)

Now that we have the value of side 'c', we can find angle 'A' using the law of sines, which states that for any triangle:

sin(A) / a = sin(C) / c

Plugging in the known values:

sin(A) / 5 = sin(6) / 5.4

Now, solve for 'sin(A)':

sin(A) = 5 * sin(6) / 5.4 sin(A) ≈ 0.0698

Now, find the value of angle 'A' using the inverse sine (sin⁻¹) function:

A ≈ sin⁻¹(0.0698)

A ≈ 3.992° (rounded to the nearest tenth)

Finally, to find angle 'B', we can use the fact that the sum of angles in any triangle is 180 degrees:

B = 180 - A - C

B = 180 - 3.992 - 6

B ≈ 170.008° (rounded to the nearest tenth)

To know more about triangle here

https://brainly.com/question/8587906

#SPJ2

Answer:

answer: 75

Hope that helps you!

Answer:

y = [tex]-\frac{7}{5} x - \frac{2}{5}[/tex]

Step-by-step explanation:

5y + 7x = -2

5y = -7x - 2

y = -(7x)/5 - 2/5 = [tex]-\frac{7}{5} x - \frac{2}{5}[/tex]

Answer:

four nine dollar books

Step-by-step explanation:

36 divivded by 9

Answer:

393

Step-by-step explanation:

(32)(12) + 9

This comes out to 384 + 9 = 393

Answer:

the answer for the first is 22°

the answer for the second is 83°

Answer:

Step-by-step explanation:

1.

The sum of all the interior angles of a triangle is equal to 180°. So, 90°+29°+(39°+x) = 180°.

2.

For the triangle on the right, the measure of 1 angle is not given. To find that out, make use of the angle in 112°: 180°-112° = 68°.

Then, we are able to find x by angle sum of triangles.

68°+29°+x = 180°.