In this diagram, radius AD = 5 mm, radius BD = 12 mm and chord

CD = 8 mm. Find the exact length of AB, in surd form.

In This Diagram, Radius AD = 5 Mm, Radius BD = 12 Mm And Chord CD = 8 Mm. Find The Exact Length Of AB,

Answers

Answer 1

Answer:

The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.

Step-by-step explanation:

Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:

[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]

If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:

[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]

[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]


Related Questions

I need help with this!!!!!

Answers

Answer:

48

Step-by-step explanation:

PLEASE HELP ITS DUE SOON!!!!

Answers

Answer:

x=4

Step-by-step explanation:

4x+7=23

4x=23-7

4x=16

x=16÷4

x=4

Answer:

4

Step-by-step explanation:

4 x 4 + 7 = 23

The graph of quadratic function is shown on the grid.

Which of these best represents the domain of f?

A.
[tex]y \geqslant 5.5[/tex]
B.
All real numbers

C.
All real numbers less than -3 or greater than 2

D.
[tex] - 3 \leqslant x \leqslant 2[/tex]


Answers

i think its c because of the question

PLSSS HELP ASAP I NEED HELP

Answers

Answer: 39.4 m^2


Explanation:
The area of a circle is pi * radius squared. The diameter is 4 m, the radius is half the diameter so for the equation the radius is 2 m.

Pi times 2 is 6.28 (remember that pi is roughly 3.14), then square that sum of 6.28.

6.28^2= 39.4384

The answer is 39.44 but the answer must be rounded to the nearest tenth, 39.4384 is 39.4 rounded to the nearest tenth.

The temperature in Elmwood is 5°C. The temperature in Gainesville is 9°C cooler than the temperature in Elmwood. The temperature in Knowlton is 12°C warmer than the temperature in Elmwood. Which equation shows the temperature in °C in Knowlton?

Answers

This sounds like a m/c question. The answer should be something like 5+12=17. Temperature of Gainesville is useless, so disregard that.

For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range.

Answers

f ( x ) = - ( x + 1)^2 + 4

_____________________

Vertex = ( - 1 , 4 )

♡♡♡♡♡♡♡♡♡♡♡♡

Domain = R

♡♡♡♡♡♡♡♡♡♡♡♡

Range = ( - infinite , 4 ]

Find the volume and surface area of a sphere with a radius of 6cm.

Answers

Volume=904.78
Surface Area=452.39

I need the answer nowwwwww right nowwwwww

Answers

Answer:

160 cm i think

Step-by-step explanation:

The pilot in a helicopter tossed a life float down to a swimmer in the water. The height, h, of the float after time t seconds is represented by the equation h(t) = -16t2 - 3t + 55. Find the time it takes the float to reach the swimmer.​

Answers

Answer:

1.95secs

Step-by-step explanation:

Given the height of the float expressed as h(t) = -16t2 - 3t + 55.

The floats reach the swimmer at h(t) = 0

Substitute

0 = -16t^2 - 3t + 55.

16t^2 + 3t - 55 = 0

Using the general formula;

t = -3±√3²-4(16)(-55)/2(16)

t = 3±√9+3520/32

t = 3±√3529/32

t = 3+59.41/32

t = 62.41/32

t = 1.95

Hence it will take 1.95secs

Which statements are true about ABCD? Select all that apply.

Answers

There are no choices

SOMEONE PLSSSSS HELP MEEEE PLSSSS

Answers

Answer:

the answer is c !

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) En cada caja hay 5 caramelos. Si tengo 8 cajas ¿cuántos caramelos tengo? b) Romina tiene 9 pelotas y Lidia 4 veces más que ella. ¿Cuántas pelotas tiene Lidia?

Answers

Answer:

a) 40 caramelos

b) 13 bolas

Step-by-step explanation:

A) En cada caja hay 5 caramelos. Si tengo 8 cajas, ¿cuántos caramelos tengo?

1 caja = 5 caramelos

8 cajas = x

Multiplicar cruzada

x × 1 caja = 8 cajas × 5 caramelos

x = 8 cajas × 5 caramelos / 1 caja

x = 40 caramelos

b) Romina tiene 9 bolas y Lidia 4 veces más que ella. ¿Cuántas bolas tiene Lidia?

Romina = 9 bolas

Lidia = 4 bolas más que ella

Lidia = 9 bolas + 4 bolas

= 13 bolas

4. Explain what an imaginary number is and its relationship to complex numbers. Then give
an example of where complex numbers occur naturally in mathematics.

Answers

Answer:

564643

Step-by-step explanation:

Answer:

In the real number system, there is no solution to the equation x^2=-1x

2

=−1x, squared, equals, minus, 1. In this lesson, we will study a new number system in which the equation does have a solution.

The backbone of this new number system is the number iii, also known as the imaginary unit.

i^2=-1i

2

=−1i, squared, equals, minus, 1

\sqrt{-1}=i

−1

=isquare root of, minus, 1, end square root, equals, i

By taking multiples of this imaginary unit, we can create infinitely many more new numbers, like 3i3i3, i, i\sqrt{5}i

5

i, square root of, 5, end square root, and -12i−12iminus, 12, i. These are examples of imaginary numbers.

However, we can go even further than that and add real numbers and imaginary numbers, for example 2+7i2+7i2, plus, 7, i and 3-\sqrt{2}i3−

2

i3, minus, square root of, 2, end square root, i. These combinations are called complex numbers.

Defining complex numbers

A complex number is any number that can be written as \greenD{a}+\blueD{b}ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i, where iii is the imaginary unit and \greenD{a}astart color #1fab54, a, end color #1fab54 and \blueD{b}bstart color #11accd, b, end color #11accd are real numbers.

\begin{array}{ccc} \Large\greenD a&\Large+&\Large \blueD bi \\ \uparrow&&\uparrow\phantom{i} \\ \text{Real}&&\text{Imaginary} \\ \text{part}&&\text{part} \end{array}

a

Real

part

 

+

 

bi

↑i

Imaginary

part

\greenD aastart color #1fab54, a, end color #1fab54 is called the \greenD{\text{real}}realstart color #1fab54, start text, r, e, a, l, end text, end color #1fab54 part of the number, and \blueD bbstart color #11accd, b, end color #11accd is called the \blueD{\text{imaginary}}imaginarystart color #11accd, start text, i, m, a, g, i, n, a, r, y, end text, end color #11accd part of the number.

The table below shows examples of complex numbers, with the real and imaginary parts identified. Some people find it easier to identify the real and imaginary parts if the number is written in standard form.

Complex Number Standard Form \greenD a+\blueD b ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i Description of parts

7i-27i−27, i, minus, 2 \greenD {-2}+\blueD 7i−2+7istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 7, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 77start color #11accd, 7, end color #11accd.

4-3i4−3i4, minus, 3, i \greenD 4 + (\blueD{-3})i4+(−3)istart color #1fab54, 4, end color #1fab54, plus, left parenthesis, start color #11accd, minus, 3, end color #11accd, right parenthesis, i The real part is \greenD{4}4start color #1fab54, 4, end color #1fab54 and the imaginary part is \blueD{-3}−3start color #11accd, minus, 3, end color #11accd

9i9i9, i \greenD 0+\blueD9i0+9istart color #1fab54, 0, end color #1fab54, plus, start color #11accd, 9, end color #11accd, i The real part is \greenD{0}0start color #1fab54, 0, end color #1fab54 and the imaginary part is \blueD 99start color #11accd, 9, end color #11accd

-2−2minus, 2 \greenD {-2}+\blueD0i−2+0istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 0, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 00start color #11accd, 0, end color #11accd

Step-by-step explanation:

plz brian list and allways happy to help.

What is the area of a square if the base is 4.25ft and the height is 4.25 ft?

Answers

Answer:

18.0625 ft²

Step-by-step explanation:

4.25 × 4.25

18.0625 ft²

The value of a home is $899,000 and increasing in value at a rate of 1% per year. Use an exponential growth function to find the approximate value of the home in 12 years.

Answers

Answer:

$1012993.2

Step-by-step explanation:

Given data

Cost of home V= $899,000

Rate of increase= 1%

Time= 12 years

The exponential growth function is expressed as

A=V(1+r)^t

A=899000(1+0.01)^12

A= 899000(1.01)^12

A= 899000*1.1268

A=$1012993.2

Hence the cost of the home will be $1012993.2

PLEASE HELP WILL MARK BRAINLIEST IF CORRECT!!Given the point (18, -10), apply the rule and tell the image after the translation as an ordered pair with no spaces.

(x,y) --> (x - 11, y - 9)

Answers

Answer:

(7,-19)

Step-by-step explanation:

Just took the final got it correct

What is the answer to the math question attached

Answers

Answer:

OK so this may or may not help u ...

this can be taken as the straight line with equation

y = mx + c

here f(x) is taken to be y

the attached pic is the graph of this function

so I think the value of x before it explodes would be 18.875

as in 18.875 seconds the rocket has reached its maximum height ( from 0 to 302)

and x represents the time

the time before it explodes = 18.875

and f(x) represents height so we see that the highest possible value of f(x) from the graph is 302

the height at which it explodes would be = 302

please help! answer and step by step explanation needed

Answers

Answer:

Step-by-step explanation:

Due to the equation [tex]y = mx+c[/tex],

y = y

mx = [tex]\frac{2}{5}x[/tex]

c = -7

Hence, from 'mx',

m = 2/5

Hence, the slope is 2/5

Feel free to mark it as brainliest :D

Answer:

slope is

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

from the linear equation we consider the Cof of x is slope Y = a x ± b a is slope and b is intercept - y then 2/5 is slope and -7 is intercept

Write the fraction as a decimal and a percent. 13/9​

Answers

Answer:

Decimal form = 1.44

Fraction form = 144/100

Hope this helps!

percent: 144.44%

decimal: 1.4444444444444

Which expression is equivalent to (2x+3)(3x2−2x+5)?

Answers

Answer:

See the steps below:)

Step-by-step explanation:

Expression is equivalent to (2x+3)(3x²−2x+5) is 6x³+5x²+4x+15.

What are equivalent expressions ?

An expression can be of many types numerical expressions, Algebraic expressions.We can also form these mathematical expressions from a given statement or by observing a real world scenario.

Equivalent expressions are same expressions in different forms.To check whether an expression is equivalent to another expression or not we just need to do some algebraic manipulations.Like distributing or taking common and other algebraic and arithmetic operations.

According to the given problem we have to write an expression which is equivalent to the expression (2x+3)(3x²-2x+5).

(2x+3)(3x²-2x+5)

= (2x+3)(3x²-2x+5)

=2x(3x²-2x+5)+3(3x²-2x+5)                                (now we will distribute)

=6x³-4x²+10x+9x²-6x+15

=6x³+5x²+4x+15.

Learn more about equivalent expressions here :

https://brainly.com/question/3644212

#SPJ6

y=x^2+8x+10

what does X=

Answers

For this problem you will need to use the quadratic formula. [tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex] (the + and - are together. basically the plus is on top and the minus is on bottom. you should have seen it in your notes hopefully). a = 1, b = 8, and c = 10. from there you just plug everything in and solve.

please help due soon!!! will mark brainlyist if right

Answers

Step 1: Find the slant height

10^2 + 28^2 = c^2

884 = c^2

c = [tex]\sqrt{884}[/tex]

Step 2: Find the lateral area

LA = pi * radius * slant height

LA = pi * 10 * [tex]\sqrt{884}[/tex]

LA (rounded to the nearest tenth) = 297.3pi in^2

Step 3: Find the area of the base circle

A = pi * r^2

A = pi * 10^2

A = 100pi in^2

Step 4: Add the areas together

SA = 297.3pi + 100pi

SA = 397.3pi in^2

Hope this helps!! :)

Find the area of a regular pentagon that is inscribed in a circle of radius 3. Round to the nearest whole number.

Answers

Answer:

The area of the pentagon is approximately 21 square units

Step-by-step explanation:

The radius of the circle in which the regular pentagon is inscribed, r = 3

The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;

A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)

Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈  21

The area of the pentagon, A ≈ 21 square units.

Please awnser this for brainliest

Answers

Answer:

she will pay 25% of the cost

Step-by-step explanation:

Well .35 is 35%

35+40 = 75

100-75 = 25

25%

6. Roberta started the year with $125 in a savings account. She has been adding money at a rate of $15 per week. Write an equation in the form y = mx + b that represents the total amount of money (y) in the account after x weeks.​

Answers

Answer:

y=15x+125

Step-by-step explanation:

Hope this helps!

Selton e Danton São irmãos e trabalham juntos, vendendo instrumentos musicais. Selton vendeu um total de 62 instrumentos este mês. Já Danton vendeu o quintuplobdoque o irmão vendeu., quantos instrumentos musicais Danton vendeu? Cálculo: Resposta:

Answers

Answer:

Danton vendeu 310 instrumentos musicais.

Step-by-step explanation:

Selton vendeu 62 instrumentos esse mês.

Danton:

Quintuplo do que seu irmão Selton, ou seja:

62*5 = 310.

Danton vendeu 310 instrumentos musicais.

WHAT. Is. THIS. pls haaaaaaalp

Answers

Answer: 56

Step-by-step explanation:

Find the distance from point A(2,-1) to the line y=-x+4

Answers

9514 1404 393

Answer:

  (3/2)√2 ≈ 2.1213 units

Step-by-step explanation:

The distance d from point (x, y) to line ax+by+c = 0 is given by ...

  d = |ax +by +c|/√(a^2 +b^2)

We can write the equation of the line as ...

  x + y -4 = 0

so the distance is ...

  d = |x + y - 4|/√(1^2 +1^2)

For point (x, y) = (2, -1), the distance is ...

  d = |2 +(-1) -4|/√2 = 3/√2 = (3√2)/2

The distance from A(2, -1) to the line y = -x +4 is (3√2)/2 units.

A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?

Answers

Answer:

[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]

What is the probability of drawing a red marble?
2/5
45%
1/3
9/11

Answers

Answer:

45%

Step-by-step explanation:

Counting the marbles, there are 5 green, 6 blue and 9 red.

Which means the odds of drawing a red to a non red are 11:9

In fraction form that would be 9 marbles out of 20 are red. 9/20

Since the fraction cannot be simplified, we can go to decimal form.

9/20=.45

.45=45%

The answer is 45%.

Answer:

45%

Step-by-step explanation:

Total = 20

Red = 9

9/20 = 0.45

Therefore 45 % is the correct option :))

Other Questions
Find the surface area of the figure below Carolina y Juan fueron a la tienda y entre los dos se gastaron Q15.00. Carolina gast Q3.20 ms que Juan. Cunto gast Juan? Grupo de opciones de respuesta An alpha particle (charge 2e) is sent at high speed toward an atomic nucleus. The electric force acting on the alpha particle is 79.8 N when it is 2.29 x 10(-14) m away from the nucleus. What is the charge on the atomic nucleus? (e = 1.60 x 10(-19) C, Kc = 9 x 10(9) Nm(2)/c(2) PLz Plz Plz help me. I will give brainliest and 20 points. The process that uses carbon dioxide andwater to make glucose and oxygen is called:A) photosynthesisB) cellular respirationC) all of the aboveD) none of the above HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Pleaseee helppp spanishhhh if you know it plz help 10.Pablo dtacha timidement sa ceinture quand le tmoin lumineux steignit. Il prit ses effets personnels planqus sous son sige et il attendit longuement que le troupeau humain avance et sorte de la carlingue. Il descendit le long escalier et posa ses pieds sur le sol, couvert dune neige paisse et nouvelle. Il regarda autour de lui en grelotant et ne trouva aucun point de repre avec lequel se rconforter. ce moment, il pensa aux premires annes de sa vie et se demandait comment allait-il pouvoir vivre les prochaines. Quel sentiment vit-il? A baseball team has won 50 games of 75 played. The team has 45 remaining games to play. How many of the remaining games must a team win in order to win 60% of the total games played during the season? A.20B.21C.22D.23 It is recommended that children eat foods high in calcium and iron as a way to reduce the accumulation of lead in their cells and enzymes. Explain why this is a scientifically valid recommendation. Does the excess reactant get used up completely in a reaction?? whats the value of d ? which expressions are equivalent to -3x+6v+7x14? 6. This law banned discrimination based on race, religion or ethnic origin inhotels, and other companies that did business with the federal government a) Explain the reason countries trade with each other.b) Explain why a country would place a quota on certain imported goods.c) Explain the benefits and costs of a free trade agreement. PROBABLY THE LAST THING IMA ASK FOR NOW BUT UH HELP Climate models show that human climate forcing is causing the loss of mountain and tidewater glaciers. Briefly explain why glaciers are an important aspect of human survival. Find the measure of arc TV In this task, you will research more about the history of the composition you picked and the composer. i picked Antonn Dvoks Symphonie No.9, Bla Bartks Allegro Barbaro Sz.49a. Give a brief biography of the composer. Include information about when the piece was written, the conductors thoughts, and possible quotes from the conductor.b. Whom was it written for, and under what circumstance? Was the composition inspired or influenced by any earlier composition? Match the formula to the correct figure.We got- cylinder, cube, cone, and pyramid.1. xr^2xh2. 1/3Bxh3. 1/3 xr^2xh4. LxwxhNo bit links plz. 15 points.