What’s the chord BC?

Whats The Chord BC?

Answers

Answer 1

Answer:

  D)  3.8 cm

Step-by-step explanation:

There are several ways this problem can be solved. Maybe the easiest is to use the Law of Cosines to find angle BAC. Then trig functions can be used to find the length of the chord.

__

In triangle BAC, the Law of Cosines tells us ...

  a² = b² +c² -2bc·cos(A)

  A = arccos((b² +c² -a²)/(2bc)) = arccos((8² +6² -3²)/(2·8·6)) = arccos(91/96)

  A ≈ 18.573°

The measure of half the chord is AB times the sine of this angle:

  BD = 2(AB·sin(A)) ≈ 3.82222

The length of the common chord is about 3.8 cm.

_____

Additional comment

Another solution can be found using Heron's formula to find the area of triangle ABC. From that, its altitude can be found.

  Area ABC = √(s(s-a)(s-b)(s-c)) . . . . where s=(a+b+c)/2

  s=(3+8+6)/2 = 8.5

  A = √(8.5(8.5 -3)(8.5 -8)(8.5 -6)) = √54.4375 ≈ 7.64444

The altitude of triangle ABC to segment AC is given by ...

  A = 1/2bh

  h = 2A/b = 2(7.64444)/8 = 1.911111

BD = 2h = 3.822222

Whats The Chord BC?

Related Questions

What is the solution to the equation below?

y + 4.73 = 8.0


A. y = 12.73 B. y = 3.93 C. y = 4.27 D. y = 3.27

Answers

Answer :

It is D because you have to subtract 4.73 from both sides in order to isolate the y by itself and get the answer which is 3.27

Step-by-step explanation:

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the solution to the equation below?

y+4.73=8.0

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}[/tex]

To solve it, simply subtract 4.73 from both sides:-

y=3.27 (Option D)

Good luck.

         - - - - - -- - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - -- - - - - - - - - - -

If the diameter of a sphere with a volume of 42.7ft is doubled, what will be the volume in cubic feet of the new sphere?

Answers

7293.16

Step-by-step explanation

42.7 x 2= 85.4, 85.4 ft to cubic feet = 7293.16

7293.16
Step by step explanation
42.7x 2=85.4,85.4ft cubic feet= 7293.16

The youngest child in a family is 6 years old. The oldest
parent is 35 years old. What is the range of ages in.
the family?

Answers

If the youngest is 6 and the oldest is 35 then the range equals 6 to 35.
Answer:  29

Work Shown:

Range = Max - Min

Range = Oldest - Youngest

Range = 35 - 6

Range = 29

The range of 29 is the gap between the youngest person and the oldest.

A garden is 30 feet long. A row of beans is planted every 15 inches. How many rows of beans are in the garden?

Answers

The number of rows of beans that are in the garden is 24 rows.

How many rows of beans are in the garden?

The first step is to convert feet to inches.

1 feet = 12 inches

30 x 12 = 360 inches

The second step is to divide 360 inches by 15 inches: 360 / 15 = 24 rows

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Answer:24

Step-by-step explanation:

linda recorded the number of minutes she practiced playing her violin for 10 days. The table shown represents the data she collected.

According to the data, what is the average amount of time Linda spent practicing per day?

Answers

Answer:

29.3

Step-by-step explanation:

its avarage just add everthink and : to 10

Find the vertex, axis of symmetry, and y-intercept of the quadratic function.

Answers

Answer:

Below in bold.

Step-by-step explanation:

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

Convert to vertex form:

f(x) = 1/2(x^2 + 8x)

= 1/2 [(x + 4)^2 - 16]

= 1/2(x + 4)^2 - 8    <------ Vertex form.

So the Vertex is at (-4, - 8).

Axis of symmetry is x = -4.

y -intercept (when x = 0) =  8-8 = 0.

Answer:

see explanation

Step-by-step explanation:

given a quadratic function in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then

the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = [tex]\frac{1}{2}[/tex] x² + 4x ← is in standard form

with a = [tex]\frac{1}{2}[/tex] , b = 4 , c = 0 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{1}[/tex] = - 4

substitute x = - 4 into f(x) for corresponding y- coordinate of vertex

f(- 4) = [tex]\frac{1}{2}[/tex] (- 4)² + 4(- 4) = [tex]\frac{1}{2}[/tex] × 16 - 16 = 8 - 16 = - 8

vertex = (- 4, - 8 )

the equation of the axis of symmetry is a vertical line passing through the vertex with equation

x = c ( c is the x- coordinate of the vertex ) , then equation of axis of symmetry is

x = - 4

to find the y- intercept substitute x = 0 into f(x)

f(0) = [tex]\frac{1}{2}[/tex] (0)² + 4(0) = 0 + 0 = 0

then y- intercept is 0

NO LINKS!!! Exponential Growth and Decay Part 4​

Answers

Problem 9

a = 500 = initial amount

b = 1+r/n = 1 + 0.034/52 = 1.000654 = approximate growth factor

The equation goes from [tex]y = a*b^x[/tex] to [tex]y = 500*1.000654^x[/tex] where x is the number of weeks and y is the account balance in dollars.

Plug in y = 700 and isolate x by using logarithms.

[tex]y = a*b^x\\\\y = 500*1.000654^x\\\\700 = 500*1.000654^x\\\\700/500 = 1.000654^x\\\\1.4 = 1.000654^x\\\\1.000654^x = 1.4\\\\\log(1.000654^x) = \log(1.4)\\\\x\log(1.000654) = \log(1.4)\\\\x = \log(1.4)/\log(1.000654)\\\\x = 514.652\\\\x = 515\\\\[/tex]

It takes about 515 weeks for the account balance to reach $700

This is equivalent to roughly 515/52 = 9.904 years

Answer:  515 weeks

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

Problem 10

The formula to calculate the monthly payment is not a simple exponential growth or decay function. I'm not sure how your teacher wanted you to answer this question. You'll have to get clarification on it.

If your teacher is asking something along the lines of "$240,000 is invested at a rate of 1.2% compounded bimonthly. How many years does it take to have the investment reach $300,000?" then you could follow these steps below.

a = 240,000 = initial amount

b = 1 + r/n = 1 + 0.012/24 = 1.0005 = growth factor

[tex]y = a*b^x\\\\y = 240000*1.0005^x\\\\300000 = 240000*1.0005^x\\\\240000*1.0005^x = 300000\\\\1.0005^x = 300000/240000\\\\[/tex]

[tex]1.0005^x = 1.25\\\\\log(1.0005^x) = \log(1.25)\\\\x\log(1.0005) = \log(1.25)\\\\x = \log(1.25)/\log(1.0005)\\\\x = 446.3987\\\\x = 446\\\\[/tex]

The x represents the number of bimonthly periods. There are 24 bimonthly periods in a year, which means it takes roughly 446/24 = 18.58 years for the starting balance of $240,000 to reach $300,000.

Keep in mind that the steps above are based on the assumption I made at the top of the problem. If that assumption is incorrect, then ignore the steps and answer entirely.

#9

[tex]\\ \rm\Rrightarrow P=P_o(1+r/n)^t[/tex]

we need t

[tex]\\ \rm\Rrightarrow P=500(1+0.034/52)^t[/tex]

[tex]\\ \rm\Rrightarrow 700=500(1+0.000654)^t[/tex]

[tex]\\ \rm\Rrightarrow 700=500(1.000654)^t[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7}{5}=(1.000654)^t[/tex]

[tex]\\ \rm\Rrightarrow 1.4=1.000654^t[/tex]

[tex]\\ \rm\Rrightarrow log1.4=log1.000654^t[/tex]

[tex]\\ \rm\Rrightarrow log1.4=tlog1.000654[/tex]

[tex]\\ \rm\Rrightarrow t=\dfrac{log1.4}{1.000654}[/tex]

[tex]\\ \rm\Rrightarrow t\approx 514.6\approx 515weeks[/tex]

#2

[tex]\\ \rm\Rrightarrow P=240000(1+0.012/25)^t[/tex]

[tex]\\ \rm\Rrightarrow 300000=240000(1.0005)^t[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{5}{4}=(1.0005)^t[/tex]

[tex]\\ \rm\Rrightarrow 1.25=(1.0005)^t[/tex]

[tex]\\ \rm\Rrightarrow log1.25=log1.0005^t[/tex]

[tex]\\ \rm\Rrightarrow log1.25=tlog1.0005[/tex]

[tex]\\ \rm\Rrightarrow t=\dfrac{log1.25}{1.0005}[/tex]

[tex]\\ \rm\Rrightarrow t=446.4\approx 446[/tex]

t=223months

Question is bit unclear to assume final units of time

reduce the fractiom 36/48 to its lowest terms

Answers

Answer:

3/4

Step-by-step explanation:

(36÷12)/(48÷12).

g

part 2 to previously asked question 100 points detailed answers please

Answers

Y=4x-1 because it can be the only one

Pls help me!!!!!!!!!!!

Answers

Answer:

x=55 degrees

Step-by-step explanation:

Because triangle is 180 degrees,

35+90+y=180

y=55

Answer:

x = 55 degrees

Step-by-step explanation:

The angles in a triangle add up to 180 degrees. We are already given 2/3 of the angles that make up the triangle.

The two given angles are 35 degrees and 90 degrees (we got the ninty from the right angle)

We can add these given angles together and subtract them by 180 to find the measure of the missing angle:

35 + 90 = 125

180 - 125 = 55 degrees

Luis is going to purchase a new iPhone with a
case. He is looking at the iPhone 4, 4s and 5,
with an otterbox in either black, blue, or camo.
What are all of the different choices he has?

Answers

Luis has 9 choices. 4 and black. 4s and black. 5 and black. 4 and blue. 4s and blue. 5 and blue. 4 and camo. 4s and camo. 5 and camo.

Find p(-3) and p(5) for the function p(x) = 2x⁴ + 3x³ - 9x² + 16x + 13.​

Answers

Answer:

-35, 1493

Step-by-step explanation:

p(x) = 2x⁴ + 3x³ - 9x² + 16x + 13

p(-3) = 2(-3⁴) + 3(-3³) - 9(-3²) + 16(-3) + 13

-3² = 9

-3³ = -27

-3⁴ = 81

p(-3) = 2(81) + 3(-27) -9(9) - 48 + 13

p(-3) = 162 - 81 - 81 -48 + 13

81 + 81 = 162 therefore 162 - 81 - 81 cancels

-48 + 13 = -35

p(5) = 2(5⁴) + 3(5³) - 9(5²) + 16(5) + 13

5² = 25

5³ = 125

5⁴ = 625

p(5) = 2(625) + 3(125) - 9(25) + 80 + 13

p(5) = 1250 + 375 - 225 + 93

p(5) = 1250 + 150 + 93

p(5) = 1493

A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza?

Answers

Answer:

20%

Step-by-step explanation:

8 -> pizzas

12 -> hamburgers

14 -> pastas

6 -> steaks

40 = 8 + 12 + 14 + 6 -> total dishes

so the probability become from actual cases on total cases

so (8 / 40)

8/40 = 1/5 = 20/100 = 20%

Margaret is on holiday in France. She buys an English newspaper. The cost of the newspaper is 5 euros. In England, the cost of the same newspaper is £2.50. The exchange rate is £1 = 1.16 euros. Work out the difference, in euros, between the cost of the newspaper in France and the cost of the newspaper in England.

Answers

The difference, in euros, between the cost of the newspaper in France and the cost of the newspaper in England is 2.10 euros.

What is the difference in costs?

Exchange rate is the rate at which one currency is exchanged for another currency.

Cost of the newspaper in England in euros = 2.50 x 1.16 = 2.90

Difference in costs = 5 euros - 2.90 euros = 2.10 euros

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Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?

Answers

Answer:

v=44

w=68

Step-by-step explanation:

in the diagram above K and I are equal therefore the angles are going to be the same that is why w = 68

for v

since we know two angles out of the three we will equate everything inside the triangle to 180° because that is the sum of angle on a triangle

v+68+68=180( sum of angle in a triangle)

v+136=180

subtract 136 from both sides

v= 44

Make q subject of the formula 2(q+p) = 1+5q

Answers

Answer:

expand the equation

then make q the subject of the formal

6.) Round the number 765,999 to the place of
the underlined digit. The under lined digit is the 9 in the 100th place

Answers

Answer: 766,000

Step-by-step explanation:

* To find the number rounded to the 100th place you would need a decimal. I am going to assume you meant the 100s place instead and answer based off that.

FIND THE EXACT AREA PLEASE HELPPPP ILL GIVE BRAINLIESTTTT

Answers

Answer:

555.94

Step-by-step explanation:

16 x 11 = 176/2

88

since there are two of the same triangle

88 x 2

176

11 is the radius

A = [tex]\pi[/tex][tex]x^{2}[/tex]

A = 3.14 ( pie is 3.14, if not then pi) x (11x11)

A = 3.14 x 121 (or 121[tex]\pi[/tex])

A = 379.94

379.94 + 176 (or 121pi + 176)

555.94

calculate the area of a parallelogram pqrs if qr=5cm,rs=6cm qrs=118°​

Answers

Check the picture below.

[tex]\cos(28^o)=\cfrac{h}{5}\implies 5\cos(28^o)=h \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=6\\ h=5\cos(28^o) \end{cases}\implies A=6[5\cos(28^o)]\implies A\approx 26.49[/tex]

Make sure your calculator is in Degree mode.

Find the area. Answer without units.

I need this asap thx (:

Answers

Answer:

I think the answer is 43.8

Answer:

198.4

Step-by-step explanation:

Right side is a rectangle   12.8 * 12.8 = 163.84 cm^2

Left side is triangle   area = 1/2 Base * height = 1/2 * 12.8 * (18.2-12.8) =

         34.56 cm^2

summed = 198.4  cm^2

ASAP!!! Find the surface area of this net.

Answers

Answer:

240 cm

Step-by-step explanation:

18*12= 216

+

4*3*2= 24

216*24= 240

Help me plssssss ASAP

Answers

Answer No Can not help in I-Ready Diagnostic That really counts as cheating and its state law to help with Diagnostics.

Step-by-step explanation:

what is the definition of accounting equation​

Answers

Answer:

The accounting equation is a formula that shows the sum of a company’s liabilities and shareholders’ equity are equal to its total assets (Assets = Liabilities + Equity). The clear-cut relationship between a company’s liabilities, assets and equity are the backbone to double-entry bookkeeping. The source of a company’s accounting equation numbers is its balance sheet. Equity can be Shareholders’ Equity, Stockholders’ Equity, or Owner’s Equity.

Like other equations, if two terms of the basic accounting equation are known, you can solve for the third term. For example, Total Assets – Total Liabilities = Total Equity, or Total Assets – Total Equity = Total Liabilities. You move a term from the right side to the left side of the accounting equation by using a minus sign. 

Names meaning the same as Balance Sheet are Statement of Financial Position or Statement of Financial Condition. 

PLEASE HELP I WILL MARK YOU AS BRAINLIET OR WHATEVER ITS CALLED
There is a platform already built at one of the trees. Using that platform as the start of the ride, the cable is attached to tree 20 feet above the ground. You ask Matt to determine the distance the brake anchor has to be placed away from the base of the ending tree so the just reach the tree. • Matt measures 20 feet away from the base of the tree because the bungee cord is 20 feet long. • He adds 15 extra feet, to allow the bungee cord to stretch to capacity. • Matt places the brake anchor 35 feet from the base of the ending tree. Ending tree

Answers

The distance the brake anchor has to be placed away from the base of the ending tree so the just reach the tree is 40.31 feet.

How to calculate the distance?

From the information given, the height of the tree is given as 20ft. The brake anchor 35 feet from the base of the ending tree.

Therefore, the distance the brake anchor has to be placed away from the base of the ending tree so the just reach the tree will be:

d² = ✓20² + ✓35²

d² = ✓400 + 1225

d² = ✓1625

d = 40.31 feet.

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Seth owns a Lawn Mower shop. He buys a Honda 4-stroke mower from the supplier for $1011.
The mark-up on the Mower is 70%. GST of 10% is then added. What is the final retail price of the mower?

Answers

Answer:

$1890.57

Step-by-step explanation:

First we put the 70% on the original 1011, we can do this by multiplying 1011 by 1.7, now we have 1718.7

Now we put on the 10% tax on the new price, we can do this by multiplying 1718.7 by 1.1, now we get 1890.57

Therefore, the final retail price of the mower is $1890.57, respectively

The length of a rectangle is 9 feet more than the width. If the perimeter is 198 feet, what are the length and width?

Answers

THE PERSON BELOW ME OR ABOVE ME IS CORRECT

Tanya forms her sequence by starting with the number 2 and adding 3
continuously. She gets the following: 2, 5, 8, 11, 14, and so on. Joe forns
his scquence by starting with the number N (not 2) and adding the number
D (not 3) continuously. His second number is 9 and his fifth number is
21. What is his 1000 number?

Answers

Answer:

4001

Step-by-step explanation:

here you go hopw it helps you

PLEASE HELP ME WITH THIS!!!

Answers

Answer:

C: strong

Step-by-step explanation:

Its basically asking if the line going through the points fits them. Parabolic would mean the trend line is a parabola, which its not. a parabola is a curved line. weak would mean it doesnt follow most of the points. strong would mean it does follow most of the points, which it does. negative, im guessing would mean it follows none and is completely separate from the points. hope this helps.

can I have some help graphing inequalities?

Answers

Answer:

x+5>11

x>11-5

x>6

So it should be equal to or bigger than 6

Solve for x first

x + 5 = 11

-5

x = 6

So, x is greater or equal to 6 and the symbol next to box is the right one to use.

There should be a shaded in circle at 6, pointing to the right.

( the length of the arrow doesn't matter, you could even extend it to 7, 8, 9 or 10)

Hope this helps!

#1 Calculate the Area: 11m 8m 5m


Answers

Answer:

24

Step-by-step explanation:

you have to add them

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