In the circle shown below, AB= 30 and the length of the minor arc from

point A to point C is 40. Find the exact measure of the marked angle B in

terms of radians. Justify.

Answers

Answer 1

Answer:

4/3pi

Step-by-step explanation:

Length of an arc  = r theta

Given radius r = 30

length of arc  l = 40

Substitute

40 = 30theta

theta = 40/30

theta = 4/3 pi

Hence the angle marked B is 4/3pi


Related Questions

Which expression has a value of 2/3?

A. 8 + 24 divided by 12 x 4

B. 8 + 24 divided by (12 x 4)

C. (8 + 24) divided by (12 x 4)

D. 8 + (24 divided by 12) x 4

Answers

Answer:

C)

Step-by-step explanation:

A)  8 + 24 ÷ 12 x 4 = 8 + 2 x 4 = 8 + 8 = 16

B)  8 + 24 ÷ (12 x 4) = 8 + 24 ÷ 48 = 8 + 1/2

C)  32 ÷ 48 = 2/3

D)  8 + 2(4) = 16

-2x + 6 greater than or equal to -4

Answers

Answer:

C

Step-by-step explanation:

-2x+6 [tex]\geq[/tex]-4

     -6   -6

-2x [tex]\geq[/tex]-10

divide both sides by -2

-2/2=-1

-10/2=-5

-5*-1=5

x[tex]\geq[/tex]5

x is greater than 5 so the number should be larger than 5 or equal to 5.

How many 1/2 inch cubes can fit in a rectangular prisim with length of 2 height of 3/2 and width of 1.

Answers

Answer:

[tex]X=6[/tex]

Step-by-step explanation:

From the question we are told that

Length [tex]l=2[/tex]

Height [tex]h=3/2[/tex]

Width [tex]w=1[/tex]

Generally the equation for Volume of the Rectangular prism is mathematically given by

 [tex]v=l*h*w[/tex]

 [tex]v=2*\frac{3}{2}*1[/tex]

 [tex]v=3m^3[/tex]

Therefore the number of half 1/2 inch cube X in v is

 [tex]X=\frac{v}{1/2}[/tex]

 [tex]X=6[/tex]

help meh please!!!!!!!!!!

Answers

1.) 903
2.) 482
3.)530
4.)781
5.)655
6.) 865

ILL GIVE BRAINLIEST. plsss help asap

Answers

Answer:

first one

Step-by-step explanation:

Answer:

It will be the first answer, Both balls will at the same rate

There are 1030 books in the library we bought 67 more books for the library how many books are there in the library now?

Answers

Answer:

1097

Step-by-step explanation:

1,030+ 67= 1097

Answer:

1097 Books

Step-by-step explanation:

1030+67=1097

In the diagram below, what is the measure of angle 1?

Answers

Answer: 82 degrees

Step-by-step explanation:

15 degrees is the answer to this question

"The product of four and a
number is more than ten."

Answers

Answer:

x>5/2

Step-by-step explanation:

4x>10

x>10/4

x>5/2

1000 + 874 + 53528 - 1026 =

Answers

Answer:

54376

is the answer .......

To the nearest mile, what is the total distance that he ran?
6 miles
8 miles
O 11 miles
25 miles

Answers

Answer:

where's the picture. to the nearest mile...

Step-by-step explanation:

;-;

WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!

Answers

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in right triangle BPO

with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )

OP² + 4² = 5²

OP² + 16 = 25 ( subtract 16 from both sides )

OP² = 9 ( take the square root of both sides )

OP = [tex]\sqrt{9}[/tex] = 3

the perimeter of a rectangle parking lot is 322 m. if the length of the parking lot is 86 m, what is the width

Answers

Perimeter of rec. = 2 ( l + w )

Given: perimeter of rectangle = 322m, length = 86m

Required: width = ?

Solution: 322 = 2 ( 86 + w )
Divide 322 by 2 ie, 322/2 = 86 + w
Will be equal to 161 = 86 + w
Therefore Width= 161 - 86 = 75

find the equation of a line through (3,5) that is parallel to y = 4x - 8

Answers

That’s what I got above is correct

will mark brainliest
Consider the sequence 3/4, 4/5, 5/6, 6/7...

Which statement describes the sequence?
The sequence diverges.
The sequence converges to 1.
The sequence converges to ∞.
The sequence converges to –∞.

Answers

Answer:

Step-by-step explanation:

Notice that each new term is closer to +1 than was the previous term.  We can conclude tat the sequence converges to 1.

156 divided by 3 with remaining

Answers

Answer: 52

Step-by-step explanation:

Divide 156 by 3, you get 52 with a remainder of 0.

In long division, you would write it as:

To perform the division, start by dividing 3 into the first digit of 156, which is 1.

  3 ) 156 ( 52

     - 15

   _______

          6

         -6

     _______

           0

3 cannot go into 1, so you move to the next digit, 15. 3 can go into 15 five times (3 * 5 = 15). After subtracting 15 from 15, you have 0.

Now, you bring down the last digit, 6, to form 6. Since 3 can go into 6 two times (3 * 2 = 6), the final quotient is 52, and the remainder is 0.

In summary, 156 divided by 3 is equal to 52, with no remaining or fractional parts.

Learn more about Divided here:

brainly.com/question/15381501

#SPJ6

Determine the range of the third side of a triangle given that two sides are 14 inches and 8 inches long

Answers

Answer:

Let the triangle be ABC

Let AB = 14 and BC = 8

By Pythagoras theorem ,

                   [tex]AC^2 = AB^2 + BC^2 = 14^2 + 8^2 = 196 +64 = 260\\AC = \sqrt{260}\ inches[/tex]

Answer:

6 < x < 22

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

14 - 8 < x < 14 + 8

6 < x < 22

I NEED IMMEDIATE HELP!! THIS IS DUE IN TOMORROW MORNING

Answers

Answer:

Rotation by 90 degrees clockwise about the point (2,2)

Step-by-step explanation:

Hope this is useful to u

PLEASE HELP ME ASAP

A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.

Answers

Answer:

28 cm

Step-by-step explanation:

side opposite of 30° = x = shorter leg / opposite.

side opposite of 60° = x√3 = adjacent.

side opposite of 90° = 2x = hypotenuse.

f(x) = x2
g(x) = 3x2
Which option could show the graphs of f and g?

Answers

Answer:

2 Transformations

Step-by-step explanation:

A reflection in the x axis accounts for the minus sign and because there's a 3 there, it is a stretch in the y direction scale factor 3. hope this helps :)

P(A/B) = P(ANB)
P(B)
Freshmen
Sophomores
Juniors
Seniors
Boys
3
1
4
2
Girls
7
9
6
5
P(Freshman Boy)

Answers

The probability of a freshman being a boy is 3/37.

What is probability?

Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.

The total number of students is:

3 + 1 + 4 + 2 + 7 + 9 + 6 + 5 = 37

The number of freshman boys is 3. Therefore,

P(Freshman Boy) = number of freshman boys / total number of students

P(Freshman Boy) = 3/37

Hence, the probability of a freshman being a boy is 3/37.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ1

Jamal has a bag with 5 orange, 4 blue and 3 green marbles. He pulls out one marble without looking, puts it back in the bag and then pulls out another marble. What is the probability that he pulled out an orange marble followed by a green one? Express your answer as a fraction in lowest terms.

Answers

Answer:

Step-by-step explanation:

the whole bag is made of 5 orange +4blue+3 green= 12 marbles

P of orange than green = P orange * P green = 5/12 * 3/12 = 15/144 = 5/48

you multiply when the events depend on each other to happen, so for the orange and then green to happen you need the orange and also the green

Carly buys 3 more band concert tickets than choir concert tickets. Band concert tickets cost $3.50 per ticket. What is the cost for the choir concert and band concert tickets?

Answers

Answer:

I'm not to sure, but I'll say 10.5

If you multiply 3.50 x 3 you'll get 10.5

If you add you'll get 13.5.

If it's an addition I'll recommend to go with 13.5

If it's a multiplication  I'll recommend to go with 10.5

34
Select the correct answer from each drop-down menu.
4 units
4 units
6 units
6 units
4 unitst
The total area of the three triangles is
square units.
The area of the figure is
square units.
Reset
Nextk

Answers

Answer:

The total are of the three triangles is 36 square units.

The area of the figure is 60 square units.

Answer:

first box 36 second box 60

Step-by-step explanation:

hello please help i’ll give brainliest

Answers

Answer:

the bin 60-69 contain the most data values

Answer:

third option is the right one

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the perimeter of the base is 10.1\text{ ft}10.1 ft and the height of the pyramid is 13.4\text{ ft}13.4 ft. Round your answer to the nearest tenth of a cubic foot. Find the volume of a pyramid with a square base, where the side length of the base is 6.1\text{ m}6.1 m and the height of the pyramid is 4.7\text{ m}4.7 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

28.5 ft^3

58.3 m^3

Step-by-step explanation:

volume of a pyramid = 1/3 x length x width x height

Perimeter of a pyramid = 4 x length

10.1 = 4 x length

length = 10.1 / 4 = 2.525

1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3

1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Evaluate -33.
-27
-9
9
27

Answers

Answer:

- 27

Step-by-step explanation:

(- 3)³

= - 3 * - 3 * - 3

= - 27

Hope it will help :)❤

Answer:

[tex] - {3}^{3} \\ = - 27[/tex]

The radius of a circle is 6 kilometers. What is the length of a 75° arc?

Answers

Answer:

7.85km

Step-by-step explanation:

Given data

Radius= 6km

θ= 75°

Arc length = 2πr (θ/360)

substitute

Arc length = 2*3.142*6 (75/360)

Arc length = 2*3.142*6*0.2083

Arc length = 7.85 km

Hence the length of the arc is 7.85km

what is the value of x

Answers

Answer:

8

Step-by-step explanation:

Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.

Hope that this helps!

Answer:

I. x=8

Step-by-step explanation:

lines form 180° angles so

140 +5x= 180 ; subtract 140 from both sides

5x= 180-140; divide both sides by 5

x= 40/5 = 8

Please help as soon as possible:)

Answers

Answer:

I think is SSS

Step-by-step explanation:

I haven't had to take geometry yet, but from my understanding, SSS means the all the side have the same ratio in both? They are all the same ration, just dilated to different sizes, so I think its SSS

Pls answer answer pls

Answers

Answer:

48 :)

Step-by-step explanation:

120 divided by 10 = 12

12 x 4 = 48

Answer:

yo momma

Step-by-step explanation:

ha

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