What is the average number of 20 14 28 18

Step-by-step explanation:

The exact solutions are: x = 11 + √72 and x = 11 - √72

The approximate solutions are: x = 19.49 and x = 2.51

[tex]\\ \sf\longmapsto (x-11)^2=72[/tex]

[tex]\\ \sf\longmapsto x-11=\sqrt{72}[/tex]

[tex]\\ \sf\longmapsto x-11=\pm 8.48[/tex]

[tex]\\ \sf\longmapsto x=11-8.48\:or\:11+8.48[/tex]

[tex]\\ \sf\longmapsto x\approx 2.52\:or\:19.48(Approximate)[/tex]

[tex]\\ \sf\longmapsto x=3\:or\:19(Exact)[/tex]

Answer:

1) first & last option

2) x=10

3) x=15

4) acute, acute, obtuse. right

5)

Step-by-step explanation:

(8)^2+(6)^2=(x)^2

64+36=x^2

square root of 100= square root of x^2

x= 10

Answer:

3 times

Step-by-step explanation:

25 times 3 is 75

This is what i think

[tex]4^4(4^7)4\implies 4^4\cdot 4^7\cdot 4^1\implies 4^{4+7+1}\implies 4^{12}[/tex]

Answer:

real answer 4^-2

Step-by-step explanation:

just did on edge

Answer:

Step-by-step explanation:

(a+ b) ² = a² + b² + 2ab

Answer:

The slope is -2

Step-by-step explanation:

[tex]m = \frac{0 - ( - 4)}{2 - 4 } \\ m = \frac{4}{ - 2 } \\ m = - 2[/tex]

Answer:

this is correct

signs

1 quadrant = (+,+)

2 quadrant = (-,+)

3 quadrant = (-,-)

4 quadrant = (+,-)

True, False, False, True, False, False

Answer:

the correct answer is $74,560 but since that's not declared go with 73300

Answer:

154

Step-by-step explanation:

use the bus stop method so you divide each number separately, starting from the left.

9 divided by 6=1 with a remainder of 3 because 1x6=6 and 9-6=3. Then you move that 3 over to the next number, the 2, to make it 32.

32 divided by 6=5 with a remainder of 2 because 5 x 6=30 and 32-30=2. Then you move that 2 over to the next number, the 4, to make it 24.

24 divided by 6 is 4.

So if you put all of those numbers together, it makes 154.

well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).

Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a).  So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those.  Check the picture below.

Answer: I think it would have to be c) Sublimation

Answer:

Step-by-step explanation:

Part of length of the third towel is the length of the second towel

Solution:

Given that You have towels of 3 sizes

Length of the first towel =  meter

The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second.

Length of the first towel =

The length of the third towel makes up 5/12 of the lengths of the first 2.

To find: What part of the length of the third towel is the length of the second towel ?

Ratio of second to third towel length =

Thus 3/2 part of length of the third towel is the length of the second towel

Answer:

a. ΔMNK =Δ [tex]PRT[/tex]

b. TR=MN

c. [tex]x=7[/tex]

Step-by-step explanation:

I hope this help you

Answer:

60°

Step-by-step explanation:

Connecting the mid points of the three sides of the triangle makes four more  triangles all similar and half the size of the original. Corresponding angles of similar triangles have the same measure.

Answer:

2+x=4

x = 4 - 2

x = 2

Step-by-step explanation:

........

Answer:

A' (-1,4)

B' (-4,3)

C' (-2,1)

Step-by-step explanation:

When reflecting a point across the y-axis, the x-coordinate changes signs, and the y-coordinate stays the same. The rule for a reflection across the y-axis is (x,y) -> (-x,y). For example, if we flip the coordinates (1,4) across the y-axis, new the coordinates are (-1,4).

Answer:

A) (3.5, 0.5)

Step-by-step explanation:

The small horizontal line represents that that digit is repeated to the right of the decimal point ad infinitum. Example would be the decimal equivalent of 1/9 = 0.11111111111... or 0.1 overbar

so 3.6 overbar  would be 3.6666666... or 3⅔

and 4.3 overbar would be 4.3333333... or 4⅓

With AB being 3 times longer than BC, the total distance from A to C is 4 units and AB is 3/4 of that distance.

The x value changes -2 units from 5 to 3.

The x value of B is -2(3/4) = - 1.5 from 5 or 3.5

The y value changes -6 units from A to C

The y value of B is -6(3/4) = -4.5  from 5 or 0.5

B = (3.5, 0.5)

Answer:

There were 7515 more ticket sold on Sunday than on Friday.

Answer: There were 21915 sold on Sunday than on Friday.

[tex] \bf \color{gold} \frac{2}{4} \div \frac{5}{7} = [/tex]

[tex] \tt\frac{2}{4} \times \frac{7}{5} = [/tex]

[tex] \tt \frac{14 \div 2}{20 \div 2} = [/tex]

[tex] \tt {\boxed{ \color{blue}{ {\frac{7}{10}}}}}[/tex]

THE RESULT IS 7/10

Answer:

The solution is:

Step-by-step explanation:

2/4÷5/7

= 2/4×7/5

= 1/2×7/5

= 7/10

2/4×7/5

= 1/2×7/5

= 7/10

Answer:

6 apple pies

Step-by-step explanation:

Check the picture below.

[tex]\begin{cases} L^2+w^2=50^2\\ Lw = 1200\\[-0.5em] \hrulefill\\ L^2+w^2=2500\\ L=\sqrt{2500-w^2} \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{\sqrt{2500-w^2}~w=1200} \\\\\\ \stackrel{\textit{squaring both sides}}{w^2(2500-w^2) = 1200^2}\implies 2500w^2-w^4=1440000 \\\\\\ 0=w^4-2500w^2+1440000\implies 0=\stackrel{\textit{tis a quadratic}}{(w^2)^2-2500w^2+1440000}[/tex]

[tex]0=(w^2-900)(w^2-1600)\implies \begin{cases} 0=w^2-900\\ 900=w^2\\ \sqrt{900}=w\\ \boxed{30=w}\\[-0.5em] \hrulefill\\ 0=w^2-1600\\ 1600=w^2\\ \sqrt{1600}=w\\ \boxed{40=w} \end{cases} \\\\\\ \stackrel{\textit{we know that}}{L = \sqrt{2500 - w^2}}\implies \begin{cases} L=\sqrt{2500-30^2}\\ \boxed{L=40}\\[-0.5em] \hrulefill\\ L=\sqrt{2500-40^2}\\ \boxed{L = 30} \end{cases}[/tex]

The length of the given TV is 40 inches and width of the given TV is 30 inches.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

The area of rectangular shape TV is 1,200 square inches.

The TV is 50".

Now, L²+W²=50² ----------(I)

L×W=1200 ----------(II)

L²+W²=2500

⇒ L²=2500-W²

⇒ L=√(2500-W²)

Substitute L=1200/W in L=√(2500-W²), we get

1200/W=√(2500-W²)

Squaring on both the sides we get

1440000/W² =2500-W²

⇒ 1440000=2500W²-[tex]W^4[/tex]

⇒ [tex]W^4[/tex]-2500W²+1440000=0

⇒ (W²)²-2500W²+1440000=0

⇒ (W²)²-900W²-1600W²+1440000=0

⇒ W²(W²-900)-1600(W²-1600)=0

⇒ (W²-1600)(W²-900)=0

⇒ W²-1600=0 and W²-900=0

⇒ W²=1600 and W²=900

⇒ W=±40 and W=±30

So, W=40, -40, 30, -30

Length =1200/W =40 or 30

Therefore, the length of the TV is 40 inches and width is 30 inches.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ2

Answer:

[tex](A) - \sqrt2[/tex]

Step-by-step explanation:

Let's find the velocity and acceleration first:

[tex]v(t) = \dot x(t) = cos\ t -( -sin \ t) = cos \ t + sin \ t\\a(t) = \ddot x(t) = -sin\ t + cos\ t = cos\ t - sin t[/tex]

(you can also rewrite the position as [tex]\sqrt 2 sin(t-\frac\pi4)[/tex] and determine velocity and acceleration from there, but I do prefer handling it as a sum for the sake of the derivatives)

At this point, the first time when the velocity is 0 is given by

[tex]cos\ t + sin\ t = 0 \rightarrow cos\ t = - sin t \rightarrow tan\ t = -1 \\t = \frac34 \pi = 2.36s[/tex]

At this point the acceleration is (let's use the first value of t for the sake of our sanity!)

[tex]cos (\frac34 \pi) - sin \frac 34 pi = -\frac1{\sqrt2} -\frac1{\sqrt2} = \sqrt 2 = -1.41[/tex]

Using angle sum property

[tex]\\ \sf\longmapsto 4x+20+3x+10+2x+30=180[/tex]

[tex]\\ \sf\longmapsto 9x+60=180[/tex]

[tex]\\ \sf\longmapsto 9x=120[/tex]

[tex]\\ \sf\longmapsto x=13.2[/tex]

Answer:

Step-by-step explanation:

We know from the property of 30°x60°x90° right triangle:

We see AC = 2*BC, therefore:

Correct choice is B

The ratio of angles is directly proportional to the ratio of sides

The ratio of sides here is 1:1/2:1

Now

[tex]\\ \sf\longmapsto 2x+x=90°[/tex]

[tex]\\ \sf\longmapsto 3x=90[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]

Answer:

The answer is 7/20

Step-by-step explanation:

This is for k-12!!

Currently taking the quiz just want to help others:)

Answer:

The answer is indeed 7/20 !!

Step-by-step explanation:

For the k12 5.17 Quiz: Model with Multistep Equations  

Good luck on the rest of your quiz !!!

Answer:

(25, 30) = 150 ,300 450

(15, 24) = 120 225 300

Step-by-step explanation:

Prime Factorization of 15 is:

3 x 5 => 3^1 x 5^1

Prime Factorization of 24 is:

2 x 2 x 2 x 3 => 2^3 x 3^1

Prime Factorization of 25 is:

5 x 5 => 5^2

Prime Factorization of 30 is:

2 x 3 x 5 => 2^1 x 3^1 x 5^1

Answer:

x=7

Step-by-step explanation:

because the x equals 7 and then the line would pass through (7,-3)

Answer:

3.25?

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

He now earns:

450/40 = 11.25 dollars per hour.

So he gets 11.25 - 8

= 3.25 dollars more.

Answer:

3/8

Step-by-step explanation: