Find the length of arc AB

Find The Length Of Arc AB

Answers

Answer 1

Answer:

5.59

Step-by-step explanation:

2πR(C/360)

2π8(40/360)

5.58505


Related Questions

3х2+9х+6
Foil method of

Answers

Answer:

3(4+3x)

Step-by-step explanation:

See Image below.

Which pair of inequalities is equivalent to 0 Choose the correct answer below.

Answers

Answer: D is correct

Step-by-step explanation:

Answer:

C.   x > 0 and x ≤ 3

Step-by-step explanation:

0 < x ≤ 3

when  0 < x then x > 0

Example: 0 < 2 then 2> 0

Therefor

x > 0 and x ≤ 3

If 2^2x = 2^3, what is the value of x?

Answers

Answer:

x=2

Step-by-step explanation:

i’m so confused.. a little help?

Answers

Answer:

Triangle has a greater perimeter.  

Step-by-step explanation:

Triangle perimeter = 21cm

Add the sides.

Square perimeter = 16cm

Add the sides (since it's a square the sides are the same.)

find the exact value of tan A in simplest radical form

Answers

Answer:

tan A = 20/21

Step-by-step explanation:

tan Θ = opp/adj

tan A = 20/21

G = B. What is the length of CD?

CD = ___​

Answers

Answer:

10

Step-by-step explanation:

Since G = B (and 284 + 76 = 360), then FE = CD

Hundred Metal Spheres with a radius of 4cm each are melted. The melted solution is filled into a cube with a base area of 16cm x 10cm. Find the height of the cube filled with solution.

Answers

Answer:

Height = 167.47 cm

Step-by-step explanation:

volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³

267.9467 cm³ x 100 spheres = 26794.67 cm³

volume of cube = L x W x H

26794.67 = 16 x 10 x H

H = 167.47 cm

Find the solution(s) to the system of equations. Select all that apply.
y=x-4
y = 2x- 5

Answers

Answer:

Y

Step-by-step explanation:

An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An electronic timing device records the time it takes each runner to complete a lap for every lap in the race. These are called lap times. The histogram below displays the lap times for Stefano, a runner in the 3,000-meter race.

A histogram titled Stefano apostrophe s 3,000 meter race lap times has lap times (seconds) on the x-axis and frequency on the y-axis. 32 to 33, 1; 34 to 35, 1; 36 to 37, 1; 37 to 38, 4; 38 to 39, 5; 39 to 40, 1; 40 to 41, 2.

Which of the following is a true statement based on the histogram?

There were no lap times between 35 and 36 seconds.
There were six laps with times less than 37 seconds.
There were three laps with times greater than 38 seconds.
The interval from 37 to 38 seconds saw the most lap times.

Answers

Answer:

Person above me is wrong lol

If we're looking at the same graph, it's actually (A).

There should be a gap between 35-36.

There were no lap times between 35 and 36 seconds.

ED2021

The following is a true statement based on the histogram

There were no lap times between 35 and 36 seconds.

The correct option is (A).

What is Histogram?

A histogram is a graphical representation that organizes a group of data points into user-specified ranges.

An indoor running track is 200 meters in length.

As, a 3,000-meter race, runners must complete 15 laps of the track.

As, there were no data for interval 35-36 seconds. There should be a gap between 35-36.

So, there were no lap times between 35 and 36 seconds.

There were six laps with times less than 37 seconds is false.

There were three laps with times greater than 38 seconds, is also false.

The interval from 37 to 38 seconds saw the most lap times, most lap time is 38-39.

Learn more about histogram here:

https://brainly.com/question/16819077

#SPJ2

The demon drop at cedar point in Ohio takes riders to the top of a tower and drops them 60 feet. A function that approximates this ride is h = 16^2 + 64x - 60, where h is the height in feet t

Answers

Completion of question:

The Demon Drop at Cedar point in Ohio takes riders to the top of the tower and drops them 60 feet. A function that approximates this ride is h=-16^t2 + 64t + 60 where h is the height in feet and t is the time in seconds. About how many seconds does it take for riders to drop to the ground?

Answer:

4.78 s

Step-by-step explanation:

Given the equation :

h = - 16^t2 + 64t + 60

Using the quadratic formula ; where

a = - 16 ; b = 64 ; c = 60

Dropping to the ground, h = 0

16^t2 + 64t - 60 = 0

-b ± (√b²- 4ac) / 2a

-64 ± (√64²- 4(-16)(60)) / 2(-16)

-64 ± (√7936) / - 32

(-64 ± 89.08) / - 32

(-64 + 89.08) / - 32 = - 0.783 OR

(-64 - 89.08) / - 32 = 4.78

Reject the negative

t = 0.783 seconds

If the price is increasing at a rate of 2 dollars per month when the price is 10 dollars, find the rate of change of the demand.

Answers

Answer:

The demand reduces by $7.12 per month

Step-by-step explanation:

Given

[tex]p\to price[/tex]

[tex]x \to demand[/tex]

[tex]2x^2+5xp+50p^2=24800.[/tex]

[tex]p =10; \frac{dp}{dt} = 2[/tex]

Required

Determine the rate of change of demand

We have:

[tex]2x^2+5xp+50p^2=24800.[/tex]

Differentiate with respect to time

[tex]4x\frac{dx}{dt} + 5x\frac{dp}{dt} + 5p\frac{dx}{dt} + 100p\frac{dp}{dt} = 0[/tex]

Collect like terms

[tex]4x\frac{dx}{dt} + 5p\frac{dx}{dt} = -5x\frac{dp}{dt} - 100p\frac{dp}{dt}[/tex]

Factorize

[tex]\frac{dx}{dt}(4x + 5p) = -5(x + 20p)\frac{dp}{dt}[/tex]

Solve for dx/dt

[tex]\frac{dx}{dt} = -\frac{5(x + 20p)}{4x + 5p}\cdot \frac{dp}{dt}[/tex]

Given that: [tex]2x^2+5xp+50p^2=24800.[/tex] and [tex]p = 10[/tex]

Solve for x

[tex]2x^2 + 5x * 10 + 50 * 10^2 = 24800[/tex]

[tex]2x^2 + 50x + 5000 = 24800[/tex]

Equate to 0

[tex]2x^2 + 50x + 5000 - 24800 =0[/tex]

[tex]2x^2 + 50x -19800 =0[/tex]

Using a quadratic calculator, we have:

[tex]x \approx -113\ and\ x\approx88[/tex]

Demand must be greater than 0;

So: [tex]x=88[/tex]

So, we have: [tex]x=88[/tex]; [tex]p =10; \frac{dp}{dt} = 2[/tex]

The rate of change of demand is:

[tex]\frac{dx}{dt} = -\frac{5(88 + 20*10)}{4*88 + 5*10} * 2[/tex]

[tex]\frac{dx}{dt} = -\frac{5(288)}{402} * 2[/tex]

[tex]\frac{dx}{dt} = -\frac{2880}{402}[/tex]

[tex]\frac{dx}{dt} \approx -7.16[/tex]

This implies that the demand reduces by $7.12 per month

What is 75.4 in expanded form

Answers

Answer: 75.4 =

 70  

+ 5  

+   0.4

Step-by-step explanation:

Hope this helps :)

I need help with the solutions for 19,20,21 thank you

Answers

Answer:

GIVEN :-

Coordinates of points are :-

(-5 , 12)(2 , 8)(3 , -6)

TO FIND :-

All the trigonometric values of given points

FACTS TO KNOW BEFORE SOLVING :-

It's important to know that :-

In 1st quadrant (0° to 90°) , all the trigonometric values are positive .In 2nd quadrant (90° to 180°) , except sin & cosec , rest all trigonometric values are negative.In 3rd quadrant (180° to 270°) , except tan & cot , rest all trigonometric values are negative.In 4th quadrant (270° to 360°) , except cos & sec , rest all all trigonometric values are negative.

SOLUTION :-

Q1)

Plot (-5,12) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.

You'll notice a right-angled ΔABO formed (∠B = 90°) in the 2nd quadrant of the plane whose :-

length of perpendicular of triangle (AB) = 12 unitslength of base of triangle (OB) = 5 unitslength of hypotenuse (OA) = 13 units

Let the angle between OA & positive x-axis be θ.

⇒ ∠AOB = 180 - θ

So ,

[tex]\sin (AOB) = \sin(180 - \theta) = \sin \theta = \frac{12}{13}[/tex][tex]\cos(AOB) = \cos (180 - \theta) = -\cos \theta = -\frac{5}{13}[/tex][tex]\tan(AOB) = \tan(180 - \theta) = -tan \theta = -\frac{12}{5}[/tex][tex]\csc(AOB) = \csc(180 - \theta) = \csc \theta = \frac{1}{\sin \theta} = \frac{13}{12}[/tex][tex]\sec(AOB) = \sec(180 - \theta) = -\sec \theta = -\frac{1}{\cos \theta} = -\frac{13}{5}[/tex][tex]\cot(AOB) = \cot(180 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{5}{12}[/tex]

Q2)

Plot (2,8) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.

You'll notice a right-angled ΔABO formed (∠B = 90°) in the 1st quadrant of the plane whose :-

length of perpendicular of triangle (AB) = 8 unitslength of base of triangle (OB) = 2 unitslength of hypotenuse (OA) = 2√17 units

Let the angle between OA & positive x-axis be θ.

⇒ ∠AOB = θ

So ,

[tex]\sin(AOB) = \sin \theta = \frac{8}{2\sqrt{17} } = \frac{4}{\sqrt{17} }[/tex][tex]\cos(AOB) = \cos \theta = \frac{2}{2\sqrt{17}} = \frac{1}{\sqrt{17}}[/tex][tex]\tan(AOB) = \tan \theta = \frac{8}{2} = 4[/tex][tex]\csc(AOB) = \csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{17}}{4}[/tex][tex]\sec(AOB) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{17}[/tex][tex]\cot (AOB) = \cot \theta = \frac{1}{\tan \theta} = \frac{1}{4}[/tex]

Q3)

Plot (3,-6) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.

You'll notice a right-angled ΔABO formed (∠B = 90°) in the 4th quadrant of the plane whose :-

length of perpendicular of triangle (AB) = 6 unitslength of base of triangle (OB) = 3 unitslength of hypotenuse (OA) = 3√5 units

Let the angle between OA & positive x-axis be θ . [Assume it in counterclockwise direction].

⇒ ∠AOB = 360 - θ

So ,

[tex]\sin(AOB) = \sin(360 -\theta) = -\sin \theta = -\frac{6}{3\sqrt{5} } = -\frac{2}{\sqrt{5} }[/tex][tex]\cos(AOB) = \cos(360 - \theta) = \cos \theta = \frac{3}{3\sqrt{5} } = \frac{1}{\sqrt{5} }[/tex][tex]\tan(AOB) = \tan(360 - \theta) = -tan \theta = -\frac{6}{3} = -2[/tex][tex]\csc(AOB) = \csc(360 - \theta) = -\csc \theta = -\frac{1}{\sin \theta} = -\frac{\sqrt{5} }{2}[/tex][tex]\sec(AOB) =\sec (360 - \theta) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{5}[/tex][tex]\cot(AOB) = \cot(360 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{1}{2}[/tex]

An architect is creating a scale drawing of a school computer lab. The length of the lab is 32 feet and the width of the lab is 48 feet. If each 16 feet of the lab equals 2 centimeters on a scale drawing, which of the following drawings is the scale drawing of the computer lab?

Answers

Answer:

The answer is B

Step-by-step explanation:

Length:

32ft. / 16ft. = 2

2 x 2cm. = 4 cm.

Width:

48ft. / 16ft. = 3

3 x 2cm. = 6cm

Answer:

b

Step-by-step explanation:

decide which of the two given prices is the better deal and explain why. you can buy shampoo in a 5-ounce bottle for $3.49 or in a 14-ounce bottle for $10.29

Answers

Answer:

The 5-ounce bottle for $3.49 is the best deal.

Step-by-step explanation:

HELP ASAPP!!

Distribute:

3(-2x + 9)

Answers

Answer:

-6x+27

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

-6x+27

Step-by-step explanation:

3(-2x + 9)

-6x+27

Rectangle F'G'H'I' is a translation of rectangle FGHI. Write the translation rule.

Answers

Yo vivo en Granada, una ciudad pequeña que tiene monumentos muy importantes como la Alhambra.

two-thirds of the quantity 63 less than y

Answers

Answer:

y - 2/3 * 63 or y - 42

Step-by-step explanation:

two-thirds of the quantity 63: 2/3 * 63

two-thirds of the quantity 63 less than y: y - 2/3 * 63 = y - 42

HI can someone do these 5 problems? it will really help me out I'll give out brainliest to the person who answers them. (No links) ​

Answers

Answer:

$73.60

$345

simple interest = amount deposited x time x interest rate

600 + (600 x 0.055 x 5) = $765

600 + (600 x 0.055 x 5) > $2000

$765  $2000

He would not have $2000 in 5 years

Step-by-step explanation:

Total cost of items purchased = $75 + (2 x $8.50) = 92

If there is a 20% discount, he would pay (100 - 20%) 80% of the total cost =

0.8 x $92 = $73.60

commission earned = percentage commission x amount of sales

10% x $3450

= 0.1 x 3450 = 345

Amount he would have in his account = amount deposited + simple interest

simple interest = amount deposited x time x interest rate

600 x 0.055 x 5 = $165

Amount in his account in 5 years = $165 + 600 = $765

He would have less than $2000 in his account. he would have $765

Solve the following expression when
b = 12
10 + b + b

Answers

Answer:

34

Step-by-step explanation:

Plug in 12 in place of b

10+b+b

10+12+12

34

Helpppppppppppppppp meeeeeeeeeeee plssssssssssssssssss

Answers

Answer:

A: NO

B: YES

C: NO

D: NO

Step-by-step explanation:

Answer:

A. No
B. Yes
C. No
D. No

Explanation: Have an amazing day!!

Mr. Davis drives 508 miles in eight hours. At this rate, how many miles
does he drive in six hours?

Answers

Answer:

he drives 254 miles in 6 hours

Step-by-step explanation:

Answer:

254 miles in 6 hours

Step-by-step explanation:

A book which was bought for Rs.100 was sold at Ra.90 what will be the loss percent?​

Answers

Answer:

10% or 1%

Step-by-step explanation:

i swear u better not remove this

HELP im behinds on math and need help with this

Answers

Answer:

261.7 mm³

Step-by-step explanation:

the volume= ⅓×3.14×5²×10

= ⅓× 785

= 261.7 mm³

Can someone please help me without using a link?

Answers

Answer:

The answer is Prism T (C)

Step-by-step explanation:

R = 24

S = 25

T = 30

U = 28

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

c) Prism T has the greatest volume

Step-by-step explanation:

R: 3x8 =24

S: 5x5=25

T: 6x5=30

U:7x4=28

Explain how you would solve −4 + 4 + 5. Please help me lol.

Answers

Answer:

5

Step-by-step explanation:

=> -4+9

=> 5

Cuz first u have to do 4 plus 5, which'll be 9. And then, since -4 is negative, we have to subtract 9 from 4. So the answer's 5.

Make me brainliest :))))

selecting a marble from a bag containing 50 marbles and 45 orange marbles

Answers

u have a 90% chance of picking an orange marble, 10% of picking a different color

write an explicit formula for an, the nth term of the sequence 2 -8 32

Answers

9514 1404 393

Answer:

  an = 2(-4)^(n-1)

Step-by-step explanation:

The general form of the explicit formula for a geometric series with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

Your sequence has a1=2 and r=-8/2 = -4. So, the explicit formula is ...

  an = 2(-4)^(n-1)

Arnie designed a new game, described here. How much should he charge to make this a fair game?
4 no prize (value $0)
4 small prize (value $2)
2 large prize (value $7)
A. $2.00
B. $2.20
C. $3.00
D. $3.50

Answers

Answer:

C it's the price to even win the small prize to make a small profit

What is the product of the two numbers, written in scientific notation?
1.4 x 10^3 and 5.6 x 10^2

A. .784 x 10^6
B. 7.84 x 10^5
C. 7.84. x 10^6
D. 78.4 x 10^5

Answers

Answer:

The answer is 83

Step-by-step explanation:

You have to mutiply them all then divide

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