In the trapezoid below, DE is parallel to AB. If CE = 6, AC = 6.4, and
DC = 4, find the length of CB. Figures are not necessarily drawn to scale.
E
D
-
А
B

The dilations will give the relations:

C'D = (3/4)CD and A'B' = (1/2)AB

And a sketch of the graph can be seen at the end.

First, we want to dilate point C using D as the center of dilation with a scale factor = 3/4.

This only means that we will have the new point C', such that:

C'D = (3/4)*CD

Where CD is the distance between points C and D

b) Similarly, we will dilate the whole segment AB into the segment A'B', such that:

A'B' = (1/2)AB.

It is hard to give the exact graph when we don't know the coordinates of the points, but the graph should look something like the one you can see below.

If you want to learn more about dilations, you can read:

https://brainly.com/question/3457976

Let's see

[tex]\\ \rm\rightarrowtail 3m^2n(L)=12mn^2[/tex]

[tex]\\ \rm\rightarrowtail mL=4n[/tex]

[tex]\\ \rm\rightarrowtail L=4n/m[/tex]

Answer:

[tex]\sf length=\dfrac{4n}{m}[/tex]

Step-by-step explanation:

Area of a rectangle = width × length

Given:

Substituting the given expressions into the equation:

[tex]\sf \implies 12mn^2=3m^2n \times length[/tex]

[tex]\sf \implies length=\dfrac{12mn^2}{3m^2n}[/tex]

Factor 12 to 3 · 4:

[tex]\sf \implies length=\dfrac{3 \cdot 4mn^2}{3m^2n}[/tex]

Cancel the common factor of 3:

[tex]\sf \implies length=\dfrac{4mn^2}{m^2n}[/tex]

Simplify [tex]\sf \dfrac{n^2}{n}=n[/tex] :

[tex]\sf \implies length=\dfrac{4mn}{m^2}[/tex]

Simplify [tex]\sf \dfrac{m}{m^2}=\dfrac{1}{m}[/tex] :

[tex]\sf \implies length=\dfrac{4n}{m}[/tex]

Negative slope

Means sample equation in slope intercept form is

So if you spot 2 mistakes on observing 1 min

then slope is 2

Put one by one

Direct variation

Hence

Answer:

D)  I and IV

Step-by-step explanation:

The variable along the x-axis is the independent variable.

The variable along the y-axis is the dependent variable.

It would be fair to determine that the time spent reviewing a writing assignment is dependent upon the number of spelling mistakes, as the more mistakes an assignment has, the longer it should take to review, however we cannot say this for certain, therefore we cannot assign the dependent and independent variables.

If the scatter plot shows a negative linear relationship, then as the x-values increase, the y-values decrease.

Statements I and IV suggest a negative linear relationship only, depending on which variable is dependent and independent.
(FYI Statements II and III describe positive linear relationships)

Statement I

x-axis (independent variable) = number of spelling mistakes

y-axis (dependent variable) = review time

Statement IV

x-axis (independent variable) = review time

y-axis (dependent variable) = number of spelling mistakes

Therefore, as we cannot be sure which is the dependent variable and which is the independent variable, the solution is D.

Answer:

52x2−2

Step-by-step explanation:

=49x2+−8+4x2+1+5+−x2

Combine Like Terms:

=49x2+−8+4x2+1+5+−x2

=(49x2+4x2+−x2)+(−8+1+5)

=52x2+−2

Answer:

C. 200.96 yd²

Step-by-step explanation:

diameter = 16 yd

radius = diameter/2 = 16 yd / 2 = 8 yd

area = πr²

area = 3.14 × (8 yd)²

area = 200.96 yd²

Answer:

true

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

True

Step-by-step explanation:

To find the range first order the data from the least to greatest. Then subtract the smallest value from the largest value in the set.

Answer:

Step-by-step explanation:

67 is tyen answer i did the quiz im in 9th grade

Answer:

  (a, b, c) = (0, -4, 4)

Step-by-step explanation:

Any of a variety of calculators, spreadsheets, or web sites can solve these equations for you. A calculator result is attached. It shows the solution to be ...

  (a, b, c) = (0, -4, 4)

__

If you'd like to solve the system by hand, here's one way:

Add the three equations together:

  (2a +b +c) +(2b +c +a) +(2c +a +b) = (0) +(-4) +(4)

  4a +4b +4c = 0 . . . . simplify

  a +b +c = 0 . . . . . divide by 4

Substitute this into each of the other equations:

  a +(a +b +c) = 0   ⇒   a +0 = 0   ⇒   a = 0

  b +(a +b +c) = -4   ⇒   b +0 = -4   ⇒   b = -4

  c +(a +b +c) = 4   ⇒   c +0 = 4   ⇒   c = 4

Answer:

is there an area tho

Step-by-step explanation:

Answer:

[tex]y=5x-18[/tex]

Step-by-step explanation:

Given the following question:

Point A = (4, 2) = (x, y)
Slope = 5

To find the answer we are going to have to use the formula for slope intercept, substitute the values, then solve for the variable b to have our answer.

[tex]y=mx+b[/tex]
[tex]y=2[/tex]
[tex]m=5[/tex]
[tex]x=4[/tex]
[tex]2=5(4)+b[/tex]
[tex]5\times4=20[/tex]
[tex]2=20+b[/tex]
[tex]20-20=0[/tex]
[tex]2-20=-18[/tex]
[tex]-18=b[/tex]
[tex]b=-18[/tex]
[tex]y=5x-18[/tex]

Your answer is "y = 5x - 18."

Hope this helps.

Answer: D

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( 6-10)/(2-5)

   = -4/-3

   = 4/3

Answer:

x = [tex]\frac{3}{a-b}[/tex]

Step-by-step explanation:

Given

ax - bx = 3 ← factor out x from each term on the left side

x(a - b) = 3 ← divide both sides by (a - b)

x = [tex]\frac{3}{a-b}[/tex]

Answer:

[tex]\huge\boxed{\sf 6x^2-x+16}[/tex]

Step-by-step explanation:

[tex]= (2x-3)(3x+4)\\\\Expand\\\\= 2x(3x+4)-3(3x+4)\\\\Distribute\\\\= 6x^2+8x-9x+16\\\\= 6x^2-x+16\\\\\rule[225]{225}{2}[/tex]

Answer:

6x²-x-12

Step-by-step explanation:

(2x-3)(3x+4)

2x(3x+4) -3(3x+4)

6x²+8x-9x-12

6x²-x-12

Problem 1

Answers:

Reason:

Refer the diagram below to see how rectangular cross sections are possible. The cross sections are marked in red.

For the rectangular prism, we could have a vertical or horizontal plane. For the cylinder, only a vertical cross section is possible. On the flip side, a rectangular pyramid can only have horizontal rectangular cross sections (which are similar to the base).

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

Problem 2

Answer: Approximately 73,280.62908 square feet

Explanation:

Calculate the area of the trapezoid. Ignore the small triangle for now.

A = h*(b1+b2)/2

A = 354*(266+158)/2

A = 75,048

Now calculate the area of the triangle we ignored earlier

Before we do this, we'll need to use the pythagorean theorem to find the missing horizontal piece

a^2 + b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(97^2 - 40^2)

b = 88.368546 which is approximate.

Now we can find the area of the small triangle

Area = base*height/2 = 88.368546*40/2 = 1,767.37092

This is to be subtracted from the area of the trapezoid we found earlier.

75,048 - 1,767.37092 = 73,280.62908

Round the result however you need to.

Answer:

Given

Step-by-step explanation:

At the beginning it says "Given: AB = CB" so they just gave you that information.

Answer:

36

Step-by-step explanation:

one calculator price =30/5=6

cost price of 6 calculator=6*6=36

Answer:

1. d) [tex]\mathsf{y=7(0.98)^t}[/tex]

2. A) [tex]\mathsf{y=2000(0.07)^t}[/tex]

3. zero and 1

Step-by-step explanation:

General form of an exponential model:  [tex]\mathsf{y=ab^x}[/tex]

If 0 < b < 1 then model decays

1. d) [tex]\mathsf{y=7(0.98)^t}[/tex]

2. A) [tex]\mathsf{y=2000(0.07)^t}[/tex]

3. Exponential decay models have a base between 0 and 1

Answer:

13 calories per serving

Step-by-step explanation:

52/4 = 13

Answer:

13

Step-by-step explanation:

52 divide 4 equals to 13

Hope this help :)

Answer: cone Cylinder

Surface area is 402ft2 and 69ft2

Step-by-step explanation:

I got the answer right

The appropriate shape to model trunk is cylinder, rest of the tree is cone and surface area of trunk is 25.12 [tex]feet^{2}[/tex]and surface area of rest of the tree is 415.58 [tex]feet^{2}[/tex].

It is the space occupied by a two dimensional surface. The area occupied by a three dimensional object by its outer surface area.

The upper part of the tree is similar to the cone and the trunk is of cylindrical shape. So the appropriate shape used to model the entire is cone above the cylinder.

We have been given the height of entire tree=30 feet,

Width of upper part=10 feet.

Height of trunk=4 feet

Width of tree means diameter of upper part or cone. Height of cone means height of cylinder, width of trunk means diameter of cone.

So, The radius of cone ie 5 feer,radius of cylinder is 1 feet, height of cone be 30-4=26 feet.

Surface area of cone is πrl where l is slant height of cone which is equal to [tex]\sqrt{r^{2} +h^{2} }[/tex]

l=[tex]\sqrt{5^{2} +26^{2} }[/tex]

=[tex]\sqrt{701}[/tex]

=26.47 feet.

Surface area of cone=π*5*26.47

=3.14*5.26*26.47

=415,28 [tex]feet^{2}[/tex]

Surface area of cylinder=2πrh

=2π*4*1

=2*3.14*4

=25.12 [tex]feet^{2}[/tex]

Hence cone and cylinder of surface area 415.28 [tex]feet^{2}[/tex] and 25.12 [tex]feet^{2}[/tex] can be used to model out tree.

Learn more about surface area at https://brainly.com/question/16519513

#SPJ2

Answer:

How much it's worth now - 54.45 Dollars

Discount - 44.55 Dollars

Answer:

Step-by-step explanation:

Semicircle:

diameter = 6 yd

r = 6/2 = 3 yd

[tex]Area \ of \ semicircle = \dfrac{1}{2}\pi r^{2}\\\\[/tex]

                                [tex]=\dfrac{1}{2}*3.14*3*3\\\\= 14.13 \ yd^{2}[/tex]

Triangle:

base = b =6 yd

height = h = 4 yd

[tex]Area \ of \ triangle = \dfrac{1}{2}bh\\\\[/tex]

                            [tex]=\dfrac{1}{2}*6*4\\\\\\= 3*4\\\\= 12 \ yd^{2}[/tex]

Area of composite figure =area of semicircle + area of triangle

                                         = 14.13 +12

                                         = 26.13 yd²

In the given ∆RST,

➾Tan 53° = ST/RT

➾ 1.327 = 14/RT

➾ RT = 14/1.327

➾ RT = 10.55 (approx)

➢ Therefore, the length RT = 10.55 cm (approx)

Answer:

x-4/3

Step-by-step explanation:

the unknown number is the number they think of, you can't read their mind. but you know you have to subtract by 4 and divide by 3.

Answer:

third option

Step-by-step explanation:

Given

z = 6πxy ( isolate x by dividing both sides by 6πy )

[tex]\frac{z}{6\pi y}[/tex] = x

Answer:

37.5 percent

Step-by-step explanation:

Finding percent is simple. You want to find percent of the price drop so you subtract 50 from 80 and get 30. Once you get 30 you divide by 80 (your original price). Once you do this you will get 0.375. Multiply this by 100 to get your percent.

Answer:

Step-by-step explanation:

Let s and e represent the grams of 6% and 8% solution, respectively. The given relations can be described by ...

  s + e = 600 . . . . . you have 600 grams of mixture

  0.06s +0.08e = 0.074(600) . . . . grams of alcohol in the mixture

__

The first equation can give an expression for s that substitutes nicely into the second equation:

  s = 600 -e

  0.06(600 -e) +0.08e = 0.074(600) . . . . substitute for s

  0.02e = 0.014(600) . . . . . . subtract 0.06(600)

  e = 420 . . . . . . . divide by 0.02

  s = 600 -420 = 180

You mixed 180 grams of 6% solution with 420 grams of 8% solution.

Answer: 180 grams of 6% solution with 420 grams of 8% solution.

Step-by-step explanation:

Let x and y be the weight (in grams) of 6% and 8% alcohol solution. Since the total weight is 600 grams, therefore,

[tex]$$\Rightarrow x+y=600 \ldots \text { (1) }[/tex]

Using the statement given, we can write the following equation:

[tex]\Rightarrow 6 x+8 y=(7.4)(600)\\ \Rightarrow 6 x+8 y=4440 \text {... (2) }[/tex]

Substitute the value of y from equation (1) into equation (2), we'll get:

[tex]\begin{gathered}\Rightarrow 6 x+8(600-x)=4440 \\\Rightarrow 6 x+4800-8 x=4440 \\\Rightarrow 2 x=360 \\\Rightarrow x=180\end{gathered}[/tex]

Therefore,

[tex]\Rightarrow y=600-180=420[/tex]

Therefore, you mixed 180 grams of 6% solution with 420 grams of 8% solution.

Answer:

13.0 hours

Step-by-step explanation:

$143 ÷ $11 (how he gets payed per hour) = 13 hours

Byron has to work 13 hours to earn $143 dollars

Answer:

[tex]Byron \: will \: have \: to \: work \: for \\ \: 13\: hrs \: to \: earn \: 143[/tex]

[tex]let \: the \: number \: of \: hrs \: = x \\ then \\ for \: the \: salary \: of \: \: 143 \: \\ the \: earning \: \times \: the \: time \: (x) = 143 \\ so \: 11x \: = 143 \\ x = \frac{143}{11} = 13.[/tex]