In the diagram below FG is parallel to CD. EF=6.9, FC=6.4, And GD= 5.1. Find the length of EF. Round your answer to the nearest 10th if necessary.

Answer:

Step-by-step explanation:

1) Parallelepiped

We need to find its surface area minus the area of the base and the base of the cylinder above.

2 (9) (2.4) = 43.2

2 (5) (2.4) = 24

4pi = Area of the base of the cylinder

45 - 4pi = Area of the base of the parallelepiped minus covered region.

Surface needed = 112.2 - 4pi

2) Cylinder

We need to find its surface area minus the area of the base.

2 (pi) (2) (3) = 12pi

pi (4) = 4pi

Surface needed = 16pi

Total surafec needed:  (112.2 - 4pi) + 16pi = 112.2 + 12pi

(This is solved in 'pi' terms)

If this helped, I'd like to have a brainliest. Have a nice day!!

Answer:

Center is [tex](8,-1)[/tex]

Radius is [tex]3[/tex]

Step-by-step explanation:

To convert from a general form equation to a standard form equation, we must complete the square for each variable to simplify. Make sure to rearrange the equation to complete the square more easily:

[tex]x^2+y^2-16x+2y+56=0\\\\x^2-16x+56+y^2+2y=0\\\\x^2-16x+56(+8)+y^2+2y(+1)=0+8+1\\\\x^2-16x+64+y^2+2y+1=9\\\\(x^2-16x+64)+(y^2+2y+1)=9\\\\(x-8)^2+(y+1)^2=9[/tex]

Since the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], our circle will have a center of [tex](h,k)\rightarrow(8,-1)[/tex] and a radius of [tex]r^2=9\rightarrow r=3[/tex].

The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular  to line is -2.

An equation that can be written in the form of y = mx+c

where m is the slope of the line

and c is the intercept on y axis

The equation given in the question is

y=1/2x−7

in this the slope = 1/2

Intercept = -7

For parallel Lines

For a parallel line , the slope of the line is same

and is given by  m = 1/2

For a perpendicular line

Slope will be equal to

-1/m

here -1/m = -2

Therefore the slope for perpendicular line is -2.

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Answer:

A. c + (c + 2) = 12

Step-by-step explanation:

Answer:

325, 390, 416

Step-by-step explanation:

So, to find one gallon, we can do 130/10=13. So, we can multiply 13 by the other numbers. 25x13=325, 30x13=390, and 32x13=416.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The graph of the equation x+2y=7, between the domain of -2 to 3 can be drawn as shown below.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The graph of the equation x+2y=7, between the domain of -2 to 3 can be drawn as shown below.

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Answer:

it is 36 liters

Step-by-step explanation:

think of it like your subtracting 154 from 190 if you subtract 100 from 190 it will be 90 and if you subtract 50 from 90 it will be 40 so if you subtract 4 from 40 it will be 36 your answer.

Answer:

-5

Step-by-step explanation:

10 - 3N = 25

Subtract 10 from both sides

-3N=15

Divide both sides by -3

N = -5

Answer:

10m

Step-by-step explanation:

5x2=10 and it's in meters so ya

[tex]\cfrac{AC}{BC}\implies \cfrac{\stackrel{AC=3+9}{3~~ + ~~9}}{\underset{BC=9}{9}}\implies \cfrac{\stackrel{4}{~~\begin{matrix} 12 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{4}{3}\implies 4~:~3[/tex]

The graph represents a relation provided  R =  {(5, 1), (1, –2), (0, –1), (–3, 2)}

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have a relation:

R = {(5, 1), (1, –2), (0, –1), (–3, 2)}

We can represent it on a coordinate plane as (x, y)

After plotting on a coordinate plane we will get a graph of a relation

R =  {(5, 1), (1, –2), (0, –1), (–3, 2)}

Thus, the graph represents a relation provided  R =  {(5, 1), (1, –2), (0, –1), (–3, 2)}

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Answer:

[tex] \boxed{ \bold{\frac{4}{3} }}[/tex]

Step-by-step explanation:

[tex] \frac{ {4}^{ - 3} \: \times \: {3}^{4} \: \times \: {4}^{2} }{ {3}^{5} \: \times \: {4}^{ - 2} } [/tex]

[tex] \frac{ {4}^{ - 3} \: \times \: {4}^{4} }{3} [/tex]

[tex] \boxed{ \bold{\frac{4}{3} }}[/tex]

Answer: Analytic geometry

Answer:

[tex]\large \sf \boxed{ \sf \dfrac{DE}{AD} }[/tex]

Explanation:

[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

Here given angle: 19°

Opposite to this angle: DE

Adjacent to this angle: AD

Hypotenuse to this angle: EA

So ratio of sides that defines tan(19) = opposite/adjacent = DE/AD

Answer:

5

Step-by-step explanation:

The distance between two points [tex]P[/tex] and [tex]Q[/tex] is  [tex]d = \sqrt{\sum_{i=1}^{n} \left(q_{i} - p_{i}\right)^{2}}[/tex] ([tex]n[/tex] s the number of coordinates of each of the two points, [tex]p_i[/tex] , [tex]i=1..n[/tex] and [tex]q_i,i=1..n[/tex]

are the coordinates of the first and the second points respectively).

Thus, [tex]d = \sqrt{\left(2 - 5\right)^{2} + \left(-3 - 1\right)^{2}}=5.[/tex]

Answer:

(x + 10)^2 + (y - 5)^2 = r^2

Answer:

The graph will open to the right and will be mostly in quadrant 1

Step-by-step explanation:

The equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

where:

If the function g(x) is parallel to f(x), they will have the same slope. Hence the required slope is25.

Determine the required equation of a line

y - y1 = m(x-x1)

y - 8 = 25(x-3)

Hence the equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)

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Answer:

Step-by-step explanation:

We can classify triangles by their sides into three types:

The error Kevin made was in step 2 when he added before he multiplied.

This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:

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Answer:

The diameter is 12.

Explain: i used this formula C= Dπ  or C= 2rπ  

(37.68) = Dπ Divide by 3.14, as the instructions in this question specify to do so.

37.68/3.14 = D π/ 3.14

D = 12  The diameter equals twelve.

Hope This Helped

Answer: C

Step-by-step explanation:
Domain is calculated by looking at the x axis. The graph starts at 0 and makes its way to 8, ending there. The first number 0 in the answer is where the domain first started, and the 8 is where it ends.

Answer:

x³ - ((x+1)(x+1))

Step-by-step explanation:

x³ + 2x -3 - x² - 2x + 4

x³ - x² + 1

x³ - ((x+1)(x+1))

Answer:

x^3−x^2+4x−7

Step-by-step explanation:

Hope this helps! Have a great day!!

Answer:

Answer: A = π r2

r=8 and 8 squared is 64 and 64×3.14=200.96 or rounded to the nearest whole number it would be 201

Step-by-step explanation: brainliest please?

Answer:

10/3 or 3.333333

Step-by-step explanation:

-   4 x 5/6 is 3 1/3

-   3 1/3 is a mixed number

- 3 1/3 reduced is 10/3

Answer:

18

Step-by-step explanation:

[tex]3(5 + 1) \\ 3(5) + 3(1) \\ 15 + 3 \\ 18[/tex]

The distributive property means you distribute the multiple to all terms in the parenthesis, in this case the terms are 5 and 1.

Answer:

  11 miles

Step-by-step explanation:

The length of the route is the sum of the lengths of the parts of the route.

__

Let b represent the distance to the beach from the library.

  total distance = (home to library) +(library to beach)

  18 miles = 7 miles + b

  11 miles = b . . . . . . . . . . subtract 7 miles from both sides of the equation

The distance from the library to the beach is 11 miles.