Find the arc length of the subtending arc for an angle of (3pi)/8 on a circle of radius 4.

Answers

Answer 1

Answer:

3pi/2

Step-by-step explanation:

(4) 3pi/8 =3pi/2


Related Questions

Starting at (0,0) if you were to go 8 units down and 10 units left what coordinates
would you end up at? What quadrant would you be in?

Answers

Answer:

(-10, -8), third quadrant

Step-by-step explanation:

8 down from (0, 0) is the same as subtracting 8 from the y coordinate → (0, -8). 10 left from (0, -8) is the same as subtracting 10 from the x coordinate → (-10, -8). You would be in the third quadrant where both coordinates are negative.

Hope this helps!

The sum of 8th term of an A.P is 160 while to sum of the 20th term is 880. Find the 43rd term​

Answers

Let a and d be the first term and common difference, respectively. Then

the 8th term is a+7d
the 20th term is a+19d

The sum of the first 8 terms is
(a)+(a+d)+(a+2d)+...+(a+7d) = 8a+28d

The sum of the first 20 terms is
(a)+(a+d)+(a+2d)+...+(a+19d) = 20a+190d

So

8a + 28d = 160
20a+ 190d = 880

40a + 140d = 800
40a + 380d = 1760
240d = 960
d = 4

8a + 112 = 160
8a=48
a =
6

The first term is 6 and the common difference is 4.

The 43rd term is a+42d = 6+42(4) = 6+168 = 174

The sum of the first 12 terms is
(a)+(a+d)+(a+2d)+...+(a+11d) = 12a+66d = 12(6)+66(4) = 72+264 = 336

The value of the 43rd term of the arithmetic sequence will be 482.

What is the sum of an arithmetic sequence?

Let a be the first term, L be the last term, n be the number of terms, and d be a common difference.

Then the sum of the arithmetic sequence will be

Sₙ = (n / 2)[a + L]

Sₙ = (n/2) [2a + (n − 1) d]

An A.P.'s eighth term is worth 160 while their twentieth term is worth 880.

160 = (8/2)(2a + 7d)

2a + 7d = 40                        ...1

880 = (20/2)(2a + 19d)

2a + 19d = 88                       ...2

From equations 1 and 2,

40 - 7d + 19d = 88

12d = 48

d = 4

Then the value of 'a' is given as,

2a + 7(12) = 40

2a = 40 - 84

2a = -44

a = -22

The value of the 43rd term is given as,

aₙ = a + (n - 1)d

a₄₃ = - 22 + (43 - 1)(12)

a₄₃ = - 22 + 42 x 12

a₄₃ = - 22 + 504

a₄₃ = 482

More about the sum of arithmetic sequence link is given below.

https://brainly.com/question/25749583

#SPJ5

Determine the relationship between the two triangles and whether or not they can be proven to be congruent

Answers

9514 1404 393

Answer:

  the triangles are congruent

Step-by-step explanation:

The side marked congruent is between the angles marked congruent, so the triangles are congruent by the ASA congruence postulate.

<5 , <3 , <2, or <4 ? ^^

Answers

Answer and Step-by-step explanation:

To figure out the problem, we first need to know what supplementary means. In this question, supplementary (angles) is when two angles are next to each other, and when added together, they add up to 180 degrees.

By looking at the image, we see that angle 1 is next to angles 2 and 5.

Angles 1 and 2 don't look like they will add up to 180 degrees.

Angles 1 and 5 look like they will add up to 180 degrees.

A way to find supplementary angles is by looking at lines that go straight across, with a line intersecting the middle of the line to form the supplementary angles.

#teamtrees #PAW (Plant And Water)

I hope this helps

PLEASSEEE HELP THIS DUES ON MONDAY AND I CAN'T FIGURE IT OUT PLS HELP PLSSSSSSSSS

Answers

Answer:

carltzy Poland in ngayon

Graph the linear equation.
3x - 2y = 6

Answers

Answer:

2x -2y -6 =0. ........

Solve for the value of z.

Answers

z=18

3z+4+2z-4+90=180

5z+4-4+90=180

5z+90=180

5z=90

z=18

Bryan went to the hardware store and bought 5 identical copper pipes. When Bryan lined up the pipes end-to-end, the line was 1 meter long. How long was each pipe?

Answers

Answer:

hhehehehehheehehe

Step-by-step explanation:

hehehehehhee

8. The month of July has 31 days. What is the greatest
possible number of Saturdays that can occur in July?
+

Answers

Answer:

We know that one Saturday comes in a week there are 7 days in a week and there are 4 weeks in a month so in 7×4=28 days four Saturdays will come ,

But since July has 31 days so there is a possibility of 5 Saturdays as in the rest 2 days one can be Saturday. so theres a possibility of 5 Saturdays

6.478×18.21 Multiply the equation

Answers

Answer:

117.96438

Step-by-step explanation:

6.478 x 18.21 = 117.96438

Answer: I believe it is 117.96

Step-by-step explanation:

6.478×18.21 = 117.96438 but there can only be two numbers after the decimal so you go to the third number after the decimal and round if it is lower than five the second number after the decimal stays the same if it is above five it will round the second number after the decimal up one in this case it will stay the same so the answer is 117.96

what is 0.25+1/8+24+60=

Answers

Answer:

84.375 or 675/8

Step-by-step explanation:

Translate the sentence into an equation or formula.

The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c.

Answers

Answer:

P = a + b + c

Step-by-step explanation:

HELP ME PLEASE!
State the domain and range of the relation. (2 points) Then, determine if the relation is a function and state the reason why or why not. (2 points)
y= 2x - 3

Answers

Domain is (-♾, ♾)
Range is (-♾, ♾)

ILL GIVE BRAINILEST TO WHEVER ANSWERS

Answers

4(4x-4)+x+4=-46
First you distribute.
16x-16+x+4=-46
Then combine like terms.
17x-12=-46
-12 -12
17x= -58

The final answer is -58/17 or -3.412

−1.2x+2.5=0.8x+6.5

Solve for x

Answers

Answer:

x = -2

Step-by-step explanation:

It's a matter of rearranging the equation to make x the subject. Simple arithmetic.

Original equation:

-1.2x + 2.5 = 0.8x + 6.5

Start moving constants with variables to left, and constants without variables to right:

-1.2x - 0.8x + 2.5 = 6.5

-1.2x - 0.8x = 6.5 - 2.5

Collect like terms

-2x = 6.5 - 2.5

-2x = 4

Divide both sides by -2 to make x the subject

x = 4/-2

x = -2

Answer: x = - 2.0

Step-by-step explanation:

We can find x by making it the subject of the equation and simplifying:

   

     −1.2x+2.5=0.8x+6.5      [group like terms across the equal sign]

      -1.2x - 0.8x = 6.5 - 2.5     [simplify]

              - 2.0x = 4                 [divide both sides by -2.0]

                     x = -2.0

Check:

 −1.2(-2.0)+2.5  =  0.8(-2.0)+6.5

                4.9   =   4.9 ✅

1 4/5 x 7 1/5 help mee

Answers

Answer:     355/70? correct me if im wrong :-)

Step-by-step explanation:

Solve this equation: -7.2 + 12 - 2.c
23 + 13x
Step 3: Isolate the variable term on one side of the equation by both sides of the equation

Answers

Answer:

4.8-46c+13x

Step-by-step explanation:

factorizar de ambas formas a cada número.
(por favor, ayudaa llevó más de dos horas con esto ....)

25
48
52
33
46

Answers

25 = 5 x 5
48 = 6 x 8 = 2 x 3 x 2 x 2 x 2
52 = 4 x 13 = 2 x 2 x 13
33 = 3 x 11
46 = 2 x 23

Please Help!!!!!!!!!!!!!!

Answers

The streetlight is 3x taller. The larger triangle's base is 30ft. 30 divided by 10 is 3. So the streetlight's height is 3 times 6 which is 18. Which also means the streetlight is 3x taller than the person.

Select ratios that are equivalent to the following: *
18:54

Answers

Answer:

Equivalent ratios follow:

9:27

3:9

1:3

5:15

2:6

A ship starts at sea level and then descends 20 feet in 4 1/2 minutes. How many feet did it descend per minute?
How many feet would it descend in 8 minutes?

Answers

Answer:

1. 4 1/2 can be converted into 4.30 / 20 = 0.125f per minute

2. it would descend 4.64 or 5f rounded in 8 minutes (8/0.125)

Answer:

4.45 feet p/m

35.56 feet per 8 minutes

Step-by-step explanation:

20 / (60x4.5) = 60 seconds  = ( 1 x 4.5 minutes)

20/270=0.0740740741 1 = multiplier of feet/seconds

60 x 0.0740740741 1 =4.44444445 feet in one minute = 4.45feet

60 x 8 = 480 seconds   (1 x 8 minutes)

480 x 0.0740740741 1 =35.5555556 feet

= 35.56feet in 8 minutes

lim x tends to a {x^7-a^7/x^3-a^3]

Answers

Answer:

thank you very much

1235÷722

how much did it cost to transport the following:a) 1000 bags of maize each weighing 100 kg to a distance of 70 km if transportation costs $100 per 100 kg​

Answers

Answer:

100000 $

Step-by-step explanation:

Multiply:

1000*10

100000 $

which company offers the best deal?why?​

Answers

Answer:

where question?

Step-by-step explanation:

i dont know the question it cant be solve

Answer:

I don't see the question. it cannot be solved

HELP PLEASE 10 POINTS

Answers

Answer:no idea

Step-by-step explanation:

Jonah had $340.87 in his checking account. He withdrew $52 and wrote a check for $18.72. Find the new balance.

Answers

Answer:

270.15

Step-by-step explanation:

Answer:

270.15

Step-by-step explanation:

u just add 52 and 18.72 and subtract it from 340.87

find the equation of a line given two points (1, 2) and (4, 3).

Answers

Answer:

[tex]slope \: or \: gradient = y2 - y1 \div x2 - x1 \\ 3 - 2 \div 4 - 1 \\ 1 \div 3 \\ y = mx + c \\ 2 = 1 \div 3 \times 1 + c \\ 2 = 1 \div 3 + c \\ 2 - 1 \div 3 = c \\ c = 5 \div 3 \\ y = 1 \div 3x + 5 \div 3[/tex]

For three consecutive homework assignments, each assignment had one more question than the previous assignment. The total number of questions on the three assignments is greater than 51 a.Write an inequality to represent this situation, where q is the number of questions on the first assignment

Answers

The inequality that represents the situation is:

[tex]3q + 3 > 51[/tex]

The first assignment had at least 17 questions.

On the first assignment, there were q questions.Each assignment had one more question than the previous one, so the second had q + 1 questions and the third had q + 2 questions.

The total number of questions is:

[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]

Since the total is greater than 51, the inequality is:

[tex]3q + 3 > 51[/tex]

Solving the inequality, we have that:

[tex]3q > 48[/tex]

[tex]q > \frac{48}{3}[/tex]

[tex]q > 16[/tex]

Thus, it is found that the first assignment had at least 17 questions.

A similar problem is given at https://brainly.com/question/24514895

1.2k + 2.4, factor out the coefficient of the variable, explain how you got it pls

Answers

The variable is k, the coefficient of the variable (k) is 1.2 so we factor out 1.2
And that gives us 1.2(k+2)

Determine the effective annual yield for $1 invested for 1 year at 3.7% compounded semiannually.
10%

Answers

Answer:

$0.035

Step-by-step explanation:

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