The sum of three consecutive integers is 9. What is the equation that represents the scenario?
a.n + (n + 1) + (n + 2) = 9
b.n – (n + 1) – (n + 2) = 9
c.n + (n – 1) + (n – 2) = 9
d.n=9

Answer:

A, B, D

Step-by-step explanation:

Given that :

24 / 18 = 4 / 3 = 1.333

Comparing the options solutions for the options given :

3/9 ÷ 2/8 = 3/9 * 8/2 = 24 / 18 = 1.333

4/9 ÷ 2/6 = 4/9 * 6/2 = 24/18 = 1.333

5/6 ÷ 3/4 = 5/6 * 4/3 = 20 / 18

8/3 ÷ 6/3 = 8/3 * 3/6 = 24 / 18 = 1.333

Hence, expressions which are equal are :

A, B and D

Answer:

13cm

Step-by-step explanation:

Let the given lengths be the opposte amd adjacent sides of a right triangle'

The missing side will be the hypotenuse

Using the pythagoras theorem;

hyp^2  = 5² + 12²

hyp² = 25 + 144

hyp² = 169

hyp =√169

hyp = 13cm

Hence the missing one is 13cm

Answer:

tangent 59° = Tree height / 45 feet

Tree Height = 1.6643 * 45

Tree Height = 74.8935 Feet

Step-by-step explanation:

Given:

Three different integer addition expressions equal −5.

To find:

The three different integer addition expressions.

Solution:

We know that 0 is the identity element under addition. It means if we add 0 to a number we get the same number.

[tex](-5)+0=-5[/tex]

One expression is [tex](-5)+0[/tex].

The other expression are:

[tex](-6)+1=-5[/tex]

[tex](-7)+2=-5[/tex]

Therefore, the three different integer addition expressions that are equal to -5 are [tex](-5)+0,(-6)+1,(-7)+2[/tex].

Answer:

Step-by-step explanation:

First you need the third angle (C).

<C + 89  + 45 = 180       All triangles = 180 degrees. Combine the left terms.

<C + 134 = 180               Subtract 134 from both sides

<C = 180 - 134

<C = 46

Next, Let BA = x

x/Sin(46) = 15/Sin(89)

x = 15*sin(46) / Sin(89)

Sin(46) = 0.7193

Sin(89) = 0.9998

x = 0.7193 * 15 / 0.9998

x = 10.7911

Note

When you are studying this material, you should note 2 things.

Answer:

vertical line of symmetry. if you split the shape in the middle, the two pieces would be the same. it also has rotational symmetry because if you rotate it, it would still look the same and be the same shape.

It does not have horizontal or diagonal symmetry because if you split it those ways, the two pieces made will be different. Because it has rotational and vertical symmetry, it does not have "no symmetry"

Answer:

The second one I think

Step-by-step explanation:

Answer:

Center: (−3,2)

Radius: 3

Step-by-step explanation:

Answer:

0,8

Step-by-step explanation:

(-x-2)(x-4)=y

To find the x-intercept, substitute in 0 for y and solve for x. To find y-intercept, substitiue in 0 for x and solve for y.

(-0-2)(0-4)=y

(-2)(-4)=8

y=8

0,8

Answer:

200/120 = 5/3

5/3 x 3 = 5 oz

you can also do it this way:

3/120 = x/200

x = 600/120 = 5

Answer:

Oasis idiot and a good time in the day before

Answer:

11.70

Step-by-step explanation:

d=√((16-5)^2+(14-10)^2)=11.7046999...

3x - 2y = 8 +

===》 46x = 16

43x + 2y = 8

x = 16/46

x = 8/23

______________________________

3x - 2y = 8

3(8/23) - 2y = 8

24/23 - 2y = 8

2y = 24/23 - 8

y = 12/23 - 4

y = 12/23 - 92/23

y = - 80/23

Answer:

It's a right angle triangle with

                        [tex]tan 12 = \frac{500}{x} \\\\x = \frac{500}{tan12}\\\\x = 2352.3ft[/tex]

Answer:

Long part= 45

Short part= 25

Step-by-step explanation:

Let the short part of the stick be x

Let the long part be x+20

The total length of the stick is 70cm

x + (x+20)= 70

x+x+20= 70

2x+20= 70

2x= 70-20

2x= 50

x= 50/2

= 25

Longer part length= 20+25

= 45

The short part is 25

Answer(s):

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

Explanation:

[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 \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[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 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\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 cosine graph, if you plan on writing your equation as a function of sine, 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 = 4sin\:x - 1,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine 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 sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4sin\:(x + \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 [0, 3],[/tex] from there to [tex]\displaystyle [2\pi, 3],[/tex] they are obviously [tex]\displaystyle 2\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 2\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 horisontally, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Helloo!

I founded same type of question from Brainly! People who have been written this solving questions. Also search and check for this question on Brainly!! Or my advice to download course hero because there is so many subjects that you can work on it.

Answer:

1 1/2 mile or 6/4 mile

Step-by-step explanation:

Every half hour he rides 3/4

Just multiply 3/4 by 2 which equals 6/4 or 1 1/2

Answer:

18m i thnk

Step-by-step explanation:

Answer:

The answer is still 15. Because

Answer:

339.29

Step-by-step explanation:

Use formula for cylinder: [tex]V=\pi r^2h[/tex].

Note: I rounded to the nearest hundreth.

Answer:

Yea you correct, you answer is right

Answer:

A linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Answer: is a diagram which shows a connection or relation between two or more quantity.

Step-by-step explanation:

Answer:

The answer is r^10s^6/r-5s^9= r^10/r-^5 = r^15

Step-by-step explanation:

the answer is r^15