Plz help ASAP 20 points 5. In circle A, the length of arc BC is 20π units.
What is the length of the radius of circle A?
A. 24 units
B. 48π units
C. 10 units
D. 4v3 units

Plz Help ASAP 20 Points 5. In Circle A, The Length Of Arc BC Is 20 Units.What Is The Length Of The Radius

Answers

Answer 1

Answer: i think the answer is B or C sorry

Step-by-step explanation:

have a nice day

Answer 2

The length of the radius of circle A is 24 units. The correct answer would be an option (A).

What is an arc?

The arc is a portion of the circumference of a circle. The circumference of a circle is the distance or perimeter around a circle.

As per the question, we have

Arc length BC = 20π units and θ = 150°

The formula for calculating the arc states that:

Arc length = 2πr (θ/360)

Where r = the radius of the circle,

π = pi = 3.14

θ = the angle (in degrees) subtended by an arc at the center of the circle.

Substitute the known values, and we get

20π = 2πr (150/360)

10 = r (5/12)

r = 120/5

r = 24

Thus, the length of the radius of circle A is 24 units.

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Related Questions

which table represents a function?

Answers

For 7 it’s the third one

x2y when x = - 3/4 and y = 8/15

Answers

Answer:

-4/5

Step-by-step explanation:

x2y

(-3/4)(2)(8/15)

(-3/2)(8/15)

-4/5

Using the same triangle as above, provide a value for the measure of angle A. Use this value, along with the values you have provided in question 3, to calculate the length of side c and the measure of angle B. The value of A should be between 20 and 70 and cannot be the same as angle C.

Answers

Answer:

Step-by-step explanation:

Since the triangle is a right triangle, we know angle B is 90

Then, we know A and C have to make 90 to

so if A has to be between 20 and 70, we can pick 21

as long as A and C make 90, if A is 21, then C is 69

since 21 + 69 = 90

Since it's a right triangle, we can use pythagoran theorem to find c

a² + b² = c²

c = [tex]\sqrt{a^{2} + b^{2} }[/tex]

then you put in the numbers from question 3 (you didn't say what numbers those have to be) and you can find out whats c

The prism below is made of cubes which measure of a centimeter on one side. What is the volume?
Please answer this question and I will give you brainliest and 15 points

Answers

Answer:

45/8 cubic cm

Step-by-step explanation:

The volume of a prism can be determined using the formula below.

Volume = length × width × height

Since each cube measures  of a centimeter on one side, then the dimensions of the prism are shown below.

Length = 5 x 1/2 cm

Width = 3 x 1/2 cm

Height = 3 x 1/2 cm

Answer:

5/3

Step-by-step explanation:

Carlos, Julio and Ricky were born in consecutive years Carlos was the oldest of the three and Ricky was the youngest. In 1990, after their birthday, the sum of their ages was 129. In what years were they born?

Answers

Answer:

Carlos born in 1944

Julio born in 1945

Ricky born in 1946

Step-by-step explanation:

x = Carlos age

x+1 = Julio age

x+2 = Ricky age

x + x+1 + x+2 = 129

3x + 3 = 129

3x = 126

x = 42 (Carlos age)

x+1 = 43 (Julio age)

x+2 = 44 (Ricky age)

1990 - 42 = 1944 (year Carlos born)

1990 - 43 = 1945 (year Julio born)

1990 - 44 = 1946 (year Ricky born)

2. Suppose you are considering buying a Toyota Prius, which starts at $25,000 and gets 50
mpg. A similarly equipped Honda Accord will start at $22,000 but will get 31 mpg.
(a) How many miles will it take the Prius to recoup the price difference?

Answers

Answer:

If a gallon of gas costs $2.9

The Prius can drive 50 miles with one gallon.

then for m miles, it needs:

(m/50) gallons.

and each gallon costs $2.9

Then for driving m miles, the cost would be:

(m/50)*$2.9

Then the total cost of buying the Prius and driving for m miles is:

P(m) = $25,000 + (m/50)*$2.9

We can do a similar approach for the Accord's case.

The Accord can drive 31 miles with one gallon.

Then if it drives m miles, it will need:

(m/31) gallons.

And knowing that each gallon costs $2.9, the cost for driving m miles is:

(m/31)*$2.9

Then the total cost of buying an Accord and driving for m miles is:

A(m) = $22,000 + (m/31)*$2.9

We want to find the value of m, such that the cost of the Prius is smaller than the cost of the Accord.

Then the first thing we need to find is the value of m such that the costs are equal:

P(m) = A(m)

$25,000 + (m/50)*$2.9 = $22,000 + (m/31)*$2.9

$25,000 - $22,000 = (m/31)*$2.9 -  (m/50)*$2.9

$3,000 = m*$2.9*(1/31 - 1/50)

$3,000/($2.9*(1/31 - 1/50)) = m = 84,392

This means that if you drive more than 84,392 miles, then the cost of the Prius will be smaller.

I

Tony's Tires has shown growth over the last month that follows the
equation Sales = 4(Day of the month) +16. On what day of the month will
Tony's Tires double its first day sales?​

Answers

Answer:

Step-by-step explanation:

The sales will double on the 6th day of the month

The equation sales for last month = 4(day of the month) + 16

let

x = day of the month

The day of the month could be 1, 2, 3, 4, 5, 6, 7, 8...…31. The numbers represents the first, second, third ,...… thirty first day.

Sales = 4x + 16

From the equation, on the first day his sales  will be :

sales = 4(1) + 16 = 20 units

The double of 20 units is 40 units. Therefore, the day of the month which the sales will double can be calculated below

40 = 4x + 16

40 - 16 = 4x

4x = 24

x = 24 / 4

x = 6

it will double on the 6th day.

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What is the area of a rectangle with the measurement of the length of 12 and width of 6

Answers

Answer:

72 units^2

Step-by-step explanation:

Differentiate
respect to x, (3x²+2)³​

Answers

Answer:

3(3×2x + 0)(3x²+2)² = 18x(3x²+2)²


The train station clock runs too fast and gains 11 minutes every 10 days.
How many minutes and seconds will it have gained at the end of 8 days?

Answers

One day gains 1.1 minutes (11/10)
1.1*8 = 8.8
So I believe it would be 8 minutes and 40 seconds

a - b/c when a = 0.6, b = 0.2, and c = 0.5

Answers

I believe the answer is 0.2

Answer:

a-b/c

or

0.6-0.2/.5

0.6-0.4

0.2

Solve the right triangle below. Round all your answers to the nearest tenth. Measure of angle Z = ______

Answers

Answer:

[tex]Measure \: of \: angle \: z = \boxed{ \tt{ 19.5\degree}}[/tex]


Find the area of the triangle pictured above.

Answers

Answer:

24.5

Step-by-step explanation:

7^2=49

49/2=24.5

A sphere has a volume of 36(pi) in^3. What is the surface area in terms of Pi

Answers

Answer:

la verdad que depende de la situación

What is the value of 2a-b

Answers

Answer:

The answer is 13.

Step-by-step explanation:

(b) Find the value of 2a + b: Remember that 2a means 2 × a. Replacing a by 4 and b by 7 gives 2×4 + 7.

Two possible values for 2a - b are 4i√2 and -4i√2, where 'i' is the imaginary unit.

To find the value of 2a - b, we need to eliminate 'b' from the two equations given.

Given equations:

1. 2a + b = 4

2. ab = -3

Let's solve for 'a' and 'b' using these equations.

Step 1: Solve for 'b' in terms of 'a' from equation (1).

2a + b = 4

b = 4 - 2a

Step 2: Substitute the value of 'b' from step 1 into equation (2).

a(4 - 2a) = -3

[tex]4a - 2a^2 = -3[/tex]

Step 3: Rearrange the equation to a quadratic form:

[tex]2a^2 - 4a + 3 = 0[/tex]

Step 4: Solve the quadratic equation for 'a'. You can use the quadratic formula:

a = [ -(-4) ± √([tex](-4)^2[/tex] - 4*2*3) ] / (2*2)

a = [ 4 ± √(16 - 24) ] / 4

a = [ 4 ± √(-8) ] / 4

a = [ 4 ± 2i√2 ] / 4

a = 1 ± i√2

Now we have two possible values for 'a': a = 1 + i√2 and a = 1 - i√2, where 'i' is the imaginary unit (√(-1)).

Step 5: Find the corresponding values of 'b' using the equation b = 4 - 2a.

For a = 1 + i√2:

b = 4 - 2(1 + i√2) = 4 - 2 - 2i√2 = 2 - 2i√2

For a = 1 - i√2:

b = 4 - 2(1 - i√2) = 4 - 2 + 2i√2 = 2 + 2i√2

Now we have two sets of values for 'a' and 'b':

1. a = 1 + i√2, b = 2 - 2i√2

2. a = 1 - i√2, b = 2 + 2i√2

Step 6: Calculate the value of 2a - b for each set of values:

For a = 1 + i√2, b = 2 - 2i√2:

2a - b = 2(1 + i√2) - (2 - 2i√2)

        = 2 + 2i√2 - 2 + 2i√2

        = 4i√2

For a = 1 - i√2, b = 2 + 2i√2:

2a - b = 2(1 - i√2) - (2 + 2i√2)

        = 2 - 2i√2 - 2 - 2i√2

        = -4i√2

So, the two possible values for 2a - b are 4i√2 and -4i√2, where 'i' is the imaginary unit.

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Complete Question:

If 2a + b = 4 and ab = -3, what is the value of 2a - b

I will give brainliest to the first one that does it correctly

Answers

Answer:

180-138

=42, is the answer

Find the missing side length of the right triangle below.
26 cm
10 cm
b

Answers

Answer:

24

Step-by-step explanation:

we'll use the pythagoras theorm, but change it a little

instead of a² + b² = c², we'll use c² - a² = b²

26² - 10² = 576

the square root of 576 is 24, and that's the answer :)

I said 24 as well I think

Helppppp pleaseeee xxx

Answers

The answer is 92 yd^2. You just need to separate the big shape into three smaller rectangles and find the area of each then add them all together. I did 13x4= 52. Then 4x5= 20. Then 4x5= 20 again. Then I added them all and it equals 92.

Rationalize the denominator 18/3root2+1​

Answers

Answer:

[tex]\dfrac{18(3\sqrt2-1)}{17}[/tex]

Step-by-step explanation:

The given expression is :

[tex]x=\dfrac{18}{3\sqrt2+1}[/tex]

We need to rationalize the denominator.

Multiplying and dividing both sides by [tex]3\sqrt2+1[/tex] as follows :

[tex]x=\dfrac{18}{3\sqrt2+1}\times \dfrac{3\sqrt2-1}{3\sqrt2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(3\sqrt2)^2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(18-1}\\\\=\dfrac{18(3\sqrt2-1)}{17}[/tex]

So, the answer is [tex]\dfrac{18(3\sqrt2-1)}{17}[/tex].

Pls help

Find the surface area of the composite figure.

Answers

Answer:

644 cm³

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)

✔️Surface area of upper cuboid = 2(LW + LH + WH)

L = 3

W = 3

H = 8

Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²

✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)

L = 12

W = 10

H = 7

Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²

✔️Base area of upper cuboid = L*W

L = 3

W = 3

Base area = 3*3 = 9 cm²

✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³

what is the slope of the line? (khan academy) please help

Answers

Answer: m=-3/2

Step-by-step explanation: Rise/Run

Rise is 3

Run is -2

So it would be -3/2

Answer:

-3/2

Step-by-step explanation:

from khan

Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much of this money is put into a fund called an endowment, and the college spends only the interest earned by the fund. A recent survey of 8 private colleges in the United States revealed the following endowments (in millions of dollars): 60.2, 47.0, 235.1, 490.0, 122.6, 177.5, 95.4, and 220.0. What value will be used as the point estimate for the mean endowment of all private colleges in the United States?

Answers

Answer:

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Step-by-step explanation:

When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.

What value will be used as the point estimate for the mean endowment of all private colleges in the United States?

We have to find the mean of the 8 colleges. So

[tex]M = \frac{60.2 + 47.0 + 235.1 + 490.0 + 122.6 + 177.5 + 95.4 + 220.0}{8} = 180.975[/tex]

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Plz I need this question quick! I don't understand it.
Find the area of the figure.

Answers

1402.5 cm2 is the awnser

Are (3, 1) (4, 1) and (5, 1) all equivalent ratios

Answers

3:1=4:1
3•1=1•4
3=4

4:1=5:1
4•1=5•1
4=5

5:1=3:1
5•1=1•3
5=3

Those ratios are not equivalent

The length of a classroom is 43 feet. What is this measurement in yards and feet?

Answers

Answer: 43 ft = 14.333333 yd/and/or/43 ft = 14 yd 1 ft

Step-by-step explanation:

To convert a foot measurement to a yard measurement, divide the length by the conversion ratio.Since one yard is equal to 3 feet, you can use this simple formula to convert:

yards = feet ÷ 3

The length in yards is equal to the feet divided by 3.

Answer:14.3333 yards equals 43 feet 1 foot is equivalent to .333 yards

Step-by-step explanation:

If the probability of getting a head on an unfair coin is 78%, what is the probability of getting a tail?

Answers

Answer:

22% or 22/100 which is 11/50

Step-by-step explanation:

Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?

Answers

The volume would be 768 cm^3

9. The Empire State Building in New York is
hit by lightning about 100 times a year.
The building opened in 1931. About how
many times was it hit by lightning by the
year 2000? (69 years)

Answers

6,900 times is the answer,also can i get brainliest

The mean time between failures (MTBF) is a common metric used to measure the performance of manufacturing systems. MTBF is the elapsed time between failures of a system during normal operations. The failures could be caused by broken machines or computer errors, among other failures. Suppose that the MTBF for a new automated manufacturing system follows an exponential distribution with a mean of 12.2 hours. (a) What is the probability that the automated manufacturing system runs for more than 18 hours without a failure

Answers

Answer:

0.2287

Step-by-step explanation:

The computation of the probability that the automated manufacturing system runs for more than 18 hours without a failure is shown below:

P(X > 17) = 1 - P(X < 17)

= 1 - [1 - e^-18 ÷ 12.2]]

= 1 - [1 -0.228684984 ]

= 0.2287

4a. In a book store, for every 9 books sold, 13 magazines were sold. If they had a 572 sales, how many of the sales were for books?

Answers

Answer:

234 books.

Step-by-step explanation:

You need to set up a proportion. Be careful to note what it looks like and the explanation that follows.

9 books            13 magazines

=======     =     ===========

x                        572 - x                Cross multiply

What you want is the number of book sales from the proportion.

However all you have is the ratio of books to magazines. So you have to set up the total sales to magazines, which is a bit awkward.  572 - x is the number of magazine sales.

9*(572 - x) = 13x                        Remove the  brackets on the left.

5148- 9x = 13x                           Add 9x to both sides.

5148 = 13x + 9x                         Transpose and add the right.

22x = 5148                                Divide by 22

x = 5148/22

x = 234                    

234 books were sold.

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