A side of the triangle below has been extended to form an exterior angle of 124°. Find the value of x.

Answer:

54 seats

Step-by-step explanation:

To make it easier, I'll put it like this.

Row    |    Seats

 1        |      24

 2       |      30

 3       |      36

 4       |      42

 5       |      48

 6       |      54

(Add 6, because each row has 6 more seats than the row in front of it.)

So, the 6th row has 54 seats.

Hope this helped !

Answer:

Check the power

Step-by-step explanation:

You can tell if a quantity has been cubed or squared by looking at its power.

For example, ft^3 has a power of 3 (meaning feet is raised to 3) which means whichever number ft^3 is used with, has been cubed, generally volume of any shape

Similarly, ft^2 has a power of 2 (meaning feet is raised to 2) which means whichever number ft^2 is used with, has been squared, generally area of any shape

===========================================================

If something is squared, it's multiplied times itself 2 times.

Example:-

[tex]\bigstar\boxed{\pmb{4*4=4^2}}\longleftarrow\sf{4~squared~}[/tex]

You should also notice that the exponent of 4 is 2.

So if something is squared, its exponent is 2.

If something is cubed, it's multiplied times itself 3 times.

Example:-

[tex]\bigstar{\boxed{\pmb{4*4*4=4^3}}\longleftarrow\sf{4~cubed}[/tex]

You should also notice that the exponent of 4 is 3.

So if something is cubed, its exponent is 3.

=======================================================

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

4 units left means change in x

So

Solve for domain

Option A

The domain of g is x ≥ -2, which is option B.

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Given that,

the graph of g is a translation 2 units left of the graph of f(x) = x√x.

When f(x) is translated k units to the left, the new function will be f(x + k).

So the new function g is,

g(x) = (x + 2) √(x + 2)

In order for the function to be defined, the part inside the square root must be greater than or equal to 0.

x + 2 ≥ 0

x ≥ -2

Hence the domain is x ≥ -2.

Learn more about Translation here :

https://brainly.com/question/29288435

#SPJ3

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6\dfrac{1}{4} - 2\dfrac{3}{10}}\\\\\mathsf{\rightarrow \dfrac{6\times4+1}{4} - \dfrac{2\times10+3}{10}}\\\\\mathsf{\rightarrow \dfrac{24 + 1}{4} - \dfrac{20 + 3}{10}}\\\\\mathsf{\rightarrow \dfrac{25}{4} - \dfrac{23}{10}}\\\\\mathsf{\rightarrow \dfrac{79}{20}}\\\\\mathsf{\approx 3\dfrac{19}{20}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{Option\ C. \ 3 \dfrac{19}{20}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer: (-3, 0) and (-1, 0)

Step-by-step explanation:

[tex]-4x^2-16x-12[/tex]

[tex]\mathrm{Rewrite\:}-16\mathrm{\:as\:}-4\cdot \:4[/tex]

[tex]\mathrm{Rewrite\:}-12\mathrm{\:as\:}-4\cdot \:3[/tex]

[tex]=-4x^2-4\cdot \:4x-4\cdot \:3[/tex]

[tex]\text{Factor out common term -4}[/tex]

[tex]=-4\left(x^2+4x+3\right)[/tex]

[tex]x^2+4x+3[/tex]

[tex]=\left(x^2+x\right)+\left(3x+3\right)[/tex]

[tex]=x\left(x+1\right)+3\left(x+1\right)[/tex]

[tex]\mathrm{Factor \ out \ common \ term \ x+1}[/tex]

[tex]=\left(x+1\right)\left(x+3\right)[/tex]

[tex]=-4\left(x+1\right)\left(x+3\right)[/tex]

Roots:

x + 3 = 0    and    x + 1 = 0

x = 0 - 3               x = 0 - 1

x = -3                   x = -1

Therefore, the zeroes of the function are (-3, 0) and (-1, 0)

Answer:

x = 12.05

Step-by-step explanation:

Given:

15x=180.75

Divide both sides by 15

15x             180.75

------  =         --------

15                   15

x = 12.05

Hence, x = 12.05

~lenvy~

Answer:

12.05

Step-by-step explanation:

Divide both sides by the same term

15x/15 = 180.75/15

180.75/15

= 12.05

Hence, x = 12.05

Check Answer:

15(12.05) = 180.75

[RevyBreeze]

Answer:

1 is 9 sq units

2 is 12

3 is 24cm^2

Step-by-step explanation:

Answer:

A

ellipse

Step-by-step explanation:

Answer:

1.) The rectangular form of this equation is (A)

.2.) The equations represent a/an (ellipse)

.

Step-by-step explanation:

Edge 2022

Answer:

549.8 inches³

Step-by-step explanation:

Volume of Cylinder = height × base, where base = [tex]\pi[/tex]r².

The radius (r) is given, 5 inches, and so is the height, 7 inches.

We simply substitute these values into the equation.

V(volume)  = 7 × [tex]\pi[/tex] × 5²

                  = 175[tex]\pi[/tex]

                  = 549.77871437821...

when we round that to the nearest tenth,

                  ≈ 549. 8

i dont knowkkkkkkkkkkkkk

Answer:

(2x + y)(2x - y - 1)

Step-by-step explanation:

4x² - y² - 2x - y

4x² - y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4x² - y²

= (2x)² - y²

= (2x - y)(2x + y)

expression is now

(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term

= (2x + y)(2x - y - 1)

Derivation of f(x):

   [tex]f'(x) = \frac{g(x)*8x-4x^2*g'(x)}{(g(x))^2} -\frac{1}{x+2}[/tex]

    Since g(3) = 6 and g'(3) = 3

   [tex]f'(3) = \frac{g(3)*8*3-4(3)^2*g'(3)}{(g(3))^2} -\frac{1}{3+2} \\f'(3) = \frac{6*8*3-4*9*3}{36} -\frac{1}{5} \\f'(3) = \frac{36}{36} -\frac{1}{5} =1-\frac{1}{5} =\frac{4}{5}\\ f'(3) = 0.8[/tex]

Thus f'(3) = 0.8

Hope that helps!

A couple of identities I used in derivation:

[tex]\frac{d}{dx} (ln x) = \frac{1}{x}[/tex]

Answer:

12.16 inches.

Step-by-step explanation:

Use pythagoras thereom since they are right angle triangles. A² = c² - b².

For NP triangle:

10² - 4² = 84. square root of 84 is 9.165.

For MN triangle:

5² - 4² = 9. square root of 9 is 3.

finally, add them up:

3 + 9.165 = 12.165, to 2 d.p., it is 12.16 inches.

Answer:

2x1 mabe

Step-by-step explanation:

im just doing that because they are next to eatch other but im in 6 grade so if i get it wrong dont blame me

Step-by-step explanation:

part 1: the exponent is the power or the number you see ontop of n. it indicates how many times n is multiplied by itself. so for the first question n is multiplied by itself 6 times. so the answer should be n×n×n×n×n×n.

part 2 is similar to part 1.

since there is a total of 6 ns we can say that it is n^6.

feel free to ask if you need any further guidance.

Answer: $ 27.27

Step-by-step explanation:

Answer:

62.59

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

This is called the ambibuous case where  2 sides are given and angle opposite one of these sides.

2 traingles are possible.

Answer:

$864

Step-by-step explanation:

Answer:

Step-by-step explanation:

Easy just divide this into 2 shapes.

The area of a rectangle is lenght Times Width.

2 Rectangles. So the One on the left would be

5X12=60 is the area of the first one.

The Second rectangle is

6X10=60

Both rectangles have the same area.

Now just add up both areas

60+60= 120 square units

SonicIsCoool, if you need more help I'm at your service

:)

Answer:

C. 120 units² or square units

Step-by-step explanation:

View the attached picture

Hope it helps!

The frequency of these visible light waves that our eyes see is equal to [tex]4.47\times 10^{-14}\;Hz[/tex]

Wavelength refers to the distance between two (2) successive crests (troughs) of a wave.

Mathematically, the frequency of a wave is given by this formula:

[tex]F = \frac{V}{\lambda}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]F=\frac{3 \times 10^8}{6.7 \times 10^{-7}} \\\\F=4.47\times 10^{-14}\;Hz[/tex]

Read more on frequency here: https://brainly.com/question/19250621

Answer:

625

Step-by-step explanation:

becuase 20% is equivilant to 1/5 you need to multiply by 5 to get 1t or full.

part b: 187.5

part c: 125 gallons is 25%. this is because you can fit 4 of it into one 500 gallon tank

Answer:

625 gal, 187.5 gal, 80%

Step-by-step explanation:

[tex]\frac{125}{x}[/tex]=[tex]\frac{20}{100}[/tex] 125*100/20=625

[tex]\frac{x}{625}=\frac{30}{100}[/tex] 30*625/100=187.5 or 625*.3=187.5

[tex]\frac{500}{625}=\frac{x}{100}[/tex] 500*100/625=80

Answer:

120

Step-by-step explanation:

The formula [tex]nCk=\frac{n!}{k!(n-k)!}[/tex] describes how many ways [tex]k[/tex] items can be chosen given [tex]n[/tex] total items. In this scenario, [tex]n=10[/tex], and [tex]k=3[/tex], thus:

[tex]\frac{10!}{3!(10-3)!}=120[/tex]

This means that you can make 120 three-vegetable plates

Answer:

hi

Step-by-step explanation:

Answer:

Damain has bought enough juice.

Step-by-step explanation:

1 qt(quart) = 2 pints.

3 qt = 6 pints.

6 pints > 5 pints (6 pints is bigger than 5 pints)

Therefore, Damain has bought enough juice.

Please mark as brainliest!

Answer:

Pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Since the result of the number cube and the result of the spinner do not effect each other, the events are independent.

In this problem, the result of the number cube does not affect the result of the spinner, as they are rolled separately, hence the events are independent.

More can be learned about independent events at https://brainly.com/question/14478923

Answer:

No, not all of them are correct.

Step-by-step explanation:

The first one that u picked is incorrect. The second one is correct. And so it the third. I'm not so sure about the last one but pls MARK BRAINLIEST IF IT IS CORRECT

Answer:

  x = 3/8

Step-by-step explanation:

The difference of the two squares can be found several ways. One way uses the "difference of squares" special form.

  a² -b² = (a -b)(a +b)

For the given squares, this is ...

  (2x +3)² -(2x -3)² = ((2x +3)-(2x -3))((2x +3) +(2x -3)) = 6(4x) = 24x

We want to find x that makes this difference be 9:

  24x = 9

  x = 9/24 = 3/8

For the value x = 3/8, the difference between the squares of the binomials will be 9.

Answer:

1020 cans

Step-by-step explanation:

100-25

=75%

0.75x1600

1200cans

100-15

=85%

0.85x1200

=1020 cans