Consider the rhombus ABCD with the side length AB of 14 cm and the measure of the angle B of 120 °. Through the vertex A goes a certain secant that intersects the extensions of the sides BC and CD in E, respectively F.
Calculate:
[tex] \frac{1}{ce} + \frac{1}{cf} [/tex]

Answers

Answer 1

Answer:

  1/14

Step-by-step explanation:

In the given geometry, we have similar triangles:

  ΔCEF ~ ΔBEA ~ ΔDAF

This lets us write the relations for corresponding sides ...

  CF/CE = DF/DA

where DF = CF -CD

We can rearrange this relation to give the value we're looking for as follows.

__

Making the substutition for DF, and multiplying by CE, we have ...

  CF = CE(CF -CD)/DA

Both DA and CD are sides of the rhombus, so are both 14 cm in length. Multiplying by DA and making the number substitution, we have ...

  DA·CF = CE·CF -CE·CD

  14·CF = CE·CF -14·CE . . . . substitute 14 for DA and CD

  14(CF +CE) = CE·CF . . . . . add 14·CE

  (CF +CE)/(CE·CF) = 1/14 . . . . divide by 14·CE·CF

  1/CE +1/CF = 1/14 . . . . . . . . . simplify

Consider The Rhombus ABCD With The Side Length AB Of 14 Cm And The Measure Of The Angle B Of 120 . Through

Related Questions

Write an algebraic expression for the following word phrase.
The quotient of and x

Answers

The quotient of 5 and x is greater than 10

The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The word phrase is,

''The quotient of 55 and x.''

Now, The value of mathematical expression is,

''The quotient of 55 and x.''

⇒ 55 ÷ x

⇒ 55 / x

Therefore, The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

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QUESTION TWO a A Mercedes Benz mechanic, in determining whether to purchase a device of design A or design B, checks the times for completing a certain task on each device. Eight operators were used in the testing, with each operator using both device A and B in a randomized order. The times in seconds) required to complete the task are given in the following tables. B Operator A 1 32 2. 40 3 42 4 26 5 35 6 29 7 45 8 22 aaNION 30 39 42 23 36 27 41 21 a) At alpha level equal to 0.05; test to see if there is a significant difference between mean completion times. (5 Marks) b) Determine the 95% level of confidence interval for the difference between A and B. (5 Marks) .​

Answers

At alpha level equal to 0.05, there is no significant difference between mean completion times.

How to illustrate the significance level?

From the complete information, the test statistic will be:

t = [(33.875 - 32.375) - 0]/8.1472 × ✓0.25

t = 0.3682

The tabulated value is 1.76. Therefore, we will accept the null hypothesis. Therefore, there is no significant difference between mean completion times.

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Write a Pseudo code for average speed

Answers

Answer:

SEQUENCE represents linear tasks sequentially performed one after the other.

WHILE a loop with a condition at its beginning.

REPEAT-UNTIL a loop with a condition at the bottom.

FOR another way of looping.

IF-THEN-ELSE a conditional statement changing the flow of the algorithm.

CASE the generalization form of IF-THEN-ELSE

Step-by-step explanation:

Always capitalize the initial word (often one of the main 6 constructs).

Have only one statement per line.

Indent to show hierarchy, improve readability, and show nested constructs.

Always end multiline sections using any of the END keywords (ENDIF, ENDWHILE, etc.).

Keep your statements programming language independent.

Use the naming domain of the problem, not that of the implementation. E.g., “Append the last name to the first name” instead of “name = first+ last.”

Keep it simple, concise, and readable.

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Round to the nearest hundreth Use
3.14 for it pi

Answers

if its diameter is 14, then its radius is half that or 7.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]

Answer:

[tex]1436.76... units^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a sphere.

[tex]V = \frac{4}{3} \pi r^3[/tex]

The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.

[tex]r = 14/2[/tex] [tex]= 7[/tex]

Now that you have the radius, all you need to do is plug it into the volume formula.

[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]

-13x+2y=29 solve for y

Answers

Answer:

x = 2.38; substitute x to get y

Step-by-step explanation:

solve for variable x.

move the term containing x to the left and the rest to the right.

add -2y to each side of the equation.

 -13 +2y + -2y = 29 + -2y

combine like terms; 2y + -2y = 0

     -13x + 0 = 29 + -2y

          -13x = 29 + -2y

divide each side by -13 and then simplify;

x = -2.23 + 0.15

x = 2.38

Can someone help I will mark u brilliant

Answers

Answer:

50

Step-by-step explanation:

We are finding the surface area of a circle here. which is pie r ^2 ( the formula) so the radius is 4. So we do pie 4^2 which equals 50.26548246 which is approximately 50.

Answer:

First, we must know the formula for the area of a circle.

The formula for the area of a circle is;

A = π[tex]r^{2}[/tex]

Where 'π' is pi(22/7 or 3.14), and 'r' is the radius which is being squared.

Plug in what you know;

R(radius) = 4 feet.

So,

A = π[tex]r^{2}[/tex]

Will be;

A = π(4^2) ← what I mean by " ^ ", I mean "to the power of".

Simplify:-

A = 3.14(16)

A = 50.24 feet is the area.

3/4 of ... is 12 I neeed your help please help me

Answers

Answer:

The number is 16.

Step-by-step explanation:

So we need to find 3/4 of a number to get 12.

We don't know what the number is, so we assign it a variable. We will assign the variable x and try to solve it.

We translate our problem into an equation. Since x is the variable and we multiply by 3/4,  we get the value of 12, which is exactly what we are trying to do.

(3/4)(x) = 12

To solve, we multiply both sides by 4/3, because in order to solve for x (the variable), it needs to be separated and isolated from everything else.

(4/3) * (3/4)(x) = (4/3) * 12

4/3 * 3/4 = 1 and (4*12)/3 = 48/3 = 16

x = 16

The number is 16.

Use logarithmic differentiation to find dy/dx. y = (1 + x)^1/x, x > 0

Answers

Use exp/log functions to rewrite y as

[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]

One of the properties of logarithms lets us bring down the exponent, so

[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]

Simplify:

[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]

PLEASE HELP, I'M BEING TIMED ;----;

Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.

Answers

Answer:

196 ft cubed

Step-by-step explanation:

formula = ((bxh)/2) x length

so

7 x 7 = 49

49 / 2 = 24.5

24.5 x 8 = 196

Hope this helps! If you need further help, let me know!

- profparis

PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

30 degrees

Step-by-step explanation:

inscribed angle angle x encompasses   360 - 120 - 180 = 60 degrees of arc

  this is 2 times the measure if the inscribed angle

 angle B = 30 degrees

A spherical ball has a radius of 2 ft what is the volume in cubic feet of the ball

Answers

The Formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]

r --> length of radius --> 2ft

 

   Volume = [tex]\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510[/tex]

The volume is 33.51 cubic feet

Hope that helps!

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

EG = 6 in.

Step-by-step explanation:

EG is congruent to DF and DF is 6 in. so EG would be 6 in.

Answer:

6 in.

Step-by-step explanation:

DF's length is congruent ( same ) to EG's length which is shown by the one mark on each side

Since DF's length is 6 inches, EG's length is also 6 inches.

Therefore,the answer is 6 in( inches )

Hope this helps!

Please mark as brainliest!!!

Choose the expression that is equivalent to 7w2-3/5 (10m2 - 15w – 15) +2w

Answers

Answer:

The answer is C :)

Step-by-step explanation:

convert 30 g 519 mg to g

Answers

Answer:

30.519 g

Step-by-step explanation:

The relation

1 g = 1000 mg

Solving

30 g 519 mg30 g + 519 mg30 g + (519/1000) g30 g + 0.519 g30.519 g

Elizabeth had 3 orange marbles, 2 green marbles, and 3 yellow marbles in a bag. There were no other marbles in the bag. Without looking, Elizabeth selected a marble from the bag.
What is the probability Elizabeth selected an orange marble from the bag?


A 2/8


B 3/8


C 5/8


D 6/8

Answers

Answer:

3/8

(B)

Step-by-step explanation:

3+2+3=8.

There are 3 orange, so 3/8

Answer:

7/8

Step-by-step explanation:

3+3+2=8 but it said probability she selected AN orange marble

Which product range generated the most profit over all???

Answers

Answer:

Blue label

Step-by-step explanation:

All that matters here is # of bottles sold * profit per bottle.

If you multiply these 2 values for each row you will see the blue label has the highest amount of profit.

Among all the product ranges blue label generated the most profit of $5625.

What is profit?

Profit is basically the difference between the total revenue and the total cost of the product.

Profit=Total Revenue- Total cost.

How to calculate profit?

We know that Average profit= total profit/ number of units.

So the profit will be as average profits* number of units.

So the profit of product ranges will be =average profit * number of bottles.

Profit of red label=1.12*3000

=$3360

Profit of black label=1.5*2000

=$3000.

Profit of gold label=2.75*1000

=$2750

Profit of white label=1.20*2750

=$3300

Profit of blue label=2.25*2500

=$5625.

Hence among all the product ranges blue label has generated maximum profit.

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Classify each of the following lines as parallel, transversal or perpendicular.

Answers

Answer:

5. Perpendicular

6. Parallel

7. Transversal

8. Perpendicular

9. Parallel

10.Transversal

Step-by-step explanation:

An annual percentage rate (APR) includes:

A. both the interest and fees on a loan.

B. only the fees on a loan.

C. neither the interest nor the fees on a loan.

D. only the interest on a loan.

Answers

Answer:

A. both the interest and fees on a loan.

Step-by-step explanation:

An annual percentage rate (APR) includes both the interest and fees on a loan.

[tex]\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: Sumin-!! \: \: \: {\green{\star}}}}}}}}}[/tex]

Bob plans to complete a 375 mile trip in hours. At what rate is he planning to travel?

Answers

Answer: 55 mph

Step-by-step explanation: rate=distance/time=275/5=55 miles per hour

F(x)=2x^2+7x-5 and g(x)=-8x^2-3x+5
What is g(x) +f(x)

Answers

(2x^2 + 7x - 5) + (-8x^2 - 3x + 5)

= -6x^2 + 4x

That is the answer, but if you need to factor it further:

= 2x(-3x + 2)

The sum of the interior angle of a polygon is 1260 degrees. How many sides does the polygon have?

Answers

Answer: 9 sides

Step-by-step explanation:

      If this is a perfect polygon then the answer is 9 sides. A perfect polygon is a polygon where all the sides and angles are congruent to each other.

180°(n-2) = 1,260°

n - 2 = 7

n = 9

A. 108
B. 792
C. 891
D. 126

Answers

Answer:

C. 891.

Step-by-step explanation:

This is a regular nonagram ( has 9 sides) so the area is the sum of 9 congruent triangles.

Area of a triangle = 1/2 * base * height

Area of 1 triangle in this  polygon = 1/2 * 12 * 16.5

Area of the polygon = 9 *  1/2 * 12 * 16.5

=  891

Help Me On This!!

I already know the answer but i need a short explanation.​

Answers

Answer:

option B

Explanation:

With every increase in side, there is an increase in dots

1 side = 1 dot2 side = 2 dot3 side = 3 dot4 side = 4 dot

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

Option B has 4 sides and 4 dots.

What is the equation of a line with a slope of -3 and a y-intercept of 4?
O A. y= 4x+3
O B. y=-3x+4
O C. y = 4x-3
0 D. y = -3x - 4

Answers

Answer:

B. y=-3x+4

Step-by-step explanation:

slope always has the variable

Answer:

Step-by-step explanation:

hello :

an equation for the line is : y=ax+b   when a is the slope

so : a= -3

y-intercept of 4  means x=0   y=4

Answer: B    because   x=0    y=-3(0)+4  = 4

23. Your friend in Spain sends you a recipe. The directions say to pre-heat
the oven to 95°C. What is the temperature in degrees Fahrenheit?
(F = 1.8C + 32)

Answers

Answer:

203° F

Step-by-step explanation:

F = 1.8C + 32

F = 1.8 × 95 + 32

F = 203

6. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.​

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Plan 1

0 + 127x

Plan 2

363 + 94x

Part A

Equating them

⇒ 127x = 363 + 94x

⇒ 33x = 363

⇒ x = 11 months [They will be same at this point]

Part B

⇒ Plan 1 : 127(24) = $3048

⇒ Plan 2 : 363 + 94(24) = 2256 + 363 = $2619

⇒ I would recommend Plan 2 as it costs less for the time period of 2 years

Select all of the expressions that have a value of 18.
A) 324 ÷ 18
B) 468 ÷ 26
C) 724 ÷ 40
D) 1,062 ÷ 59
E) 1,071 ÷ 60

Pls show work!!

Answers

Answer:

A,B,C

Step-by-step explanation:

Just divide them hope this helps x

Hey culture starting with 5000 bacteria after four hours ago to 5500 bacteria predict how many bacteria will be present after 13 hours. Round to the nearest whole number

Answers

it will be 3375 bacteria my ducky

Solve 9x^2- 17x- 85 = 0 Give your solutions correct to 3 significant figures.​

Answers

Answer:

[tex]x =\frac{17}{18} +\frac{1}{18} \sqrt{3349}[/tex] OR [tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Step-by-step explanation:

9x2−17x−85=0

For this equation: a=9, b=-17, c=-85

9x2+−17x+−85=0

Step 1: Use quadratic formula with a=9, b=-17, c=-85.

[tex]x =\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}[/tex]

[tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Use the formula to evaluate the series . Round your answer to the nearest hundredth.

Answers

We are given with a sequence, which is a GP (Geometric Progression), as the ratio [tex]{\bf{a_{n+1}:a_{n}}}[/tex] is 1/3 for every [tex]{\bf{n\in \mathbb{N}}}[/tex], so 1/3 is the comman ratio r, and we needa find sum till 6 terms, so n = 6, and first term is 6, so putting all the values we will be having ;

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg\{1-{\bigg(\dfrac13\bigg)}^{6}\bigg\}}{1-\dfrac13}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg(1-\dfrac{1}{3^{6}}\bigg)}{\dfrac{3-1}{3}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\div \dfrac23}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\times \dfrac32}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^{6}-1}{3^{4}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^6}{3^4}-\dfrac{1}{3^4}}[/tex]

[tex]{:\implies \quad \sf S_{6}=3^{2}-\dfrac{1}{81}}[/tex]

[tex]{:\implies \quad \sf S_{6}\approx 9-0.012\approx 8.988\approx \boxed{\bf{8.99}}}[/tex]

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