The radius of a circle is 1. What is the length of an arc that subtends an angle of a radians?

Answers

Answer 1

Answer:

1 unit

Step-by-step explanation:

We have the following formula to find  the length of an arc that subtends an angle of radians is:

S = rΘ where:

r is the radiusΘ is the subtended central angle given in radians

Given the information in this question, we have:

r = 1 unitΘ = a radian

=> the length of an arc in this question is:

1*1 = 1 unit

Hope it will find you well

Answer 2

Final answer:

The length of an arc in a circle with radius 1 that subtends an angle of a radians is a units.

Explanation:

The student's question asks for the length of an arc in a circle with a radius of 1 that subtends an angle of a radians. The formula to calculate the arc length (s) is derived from the fact that the circumference of a circle (S) with radius r is S = 2πr. A full revolution around a circle results in an angular rotation of θ = 2π radians.

The arc length for an angle a radians in a circle with radius r is therefore s = r × a. Since the radius of the circle in this question is 1, the arc length is simply equal to the angle a in radians. Thus, the length of the arc is a units.


Related Questions

Which scenario is the BEST example of how the government would act in a mixed market economy?
The government requires a factory to produce surplus goods for the use of
the military.
The government stops a factory from producing imitations of an expensive
type of purse.
The government allows only two competitors to offer goods for sale on the
country's highways.
The government imposes a limit on the number of television sets that can
be exported annually.

Answers

In a mixed market economy, which typically combines elements of both market and government intervention, the BEST example is the government imposes a limit on the number of television sets that can be exported annually. Here option D is correct.

This scenario reflects a government intervention aimed at managing international trade and protecting domestic industries. By imposing export limits on television sets, the government can regulate the flow of goods, balance trade, and potentially safeguard local industries from excessive foreign competition.

This intervention allows for a controlled market environment while still allowing private enterprises to operate. Unlike the other options, this scenario demonstrates a strategic use of government intervention to achieve economic objectives without completely dominating the market or infringing on individual business operations.

It showcases a balance between free-market principles and government oversight, characteristic of a mixed market economy. Here option D is correct.

Complete question:

Which scenario is the BEST example of how the government would act in a mixed market economy?

A - The government requires a factory to produce surplus goods for the use of the military.

B - The government stops a factory from producing imitations of an expensive type of purse.

C - The government allows only two competitors to offer goods for sale on the country's highways.

D - The government imposes a limit on the number of television sets that can be exported annually.

What is the constant rate of change in the function y=5x? *

a.1/5
b.x
c.5
d.1

Answers

Answer: c. 5

This is the same as the slope because this is a linear equation

y = 5x is the same as y = 5x+0 which compares to y = mx+b

m = 5 is the slope = rate of change

b = 0 is the y intercept = starting amount

If 5 friends want to share 1.25 of pizza evenly, how much pizza would each person get?

Answers

Answer:

0.25

Explanation: To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.

-1.5x + 2.5y + 3 = 0 6x - 10y + 6 = 0
Which statement about the pair of equations is true?
A) The equation pair has no solutions.
B) The equation pair has exactly 1 solution.
C) The equation pair has exactly 2 solutions.
D) The equation pair has infinitely many solutions.

Answers

Answer:

c

Step-by-step explanation:

hope it help

Answer:

i think the answer is B

Step-by-step explanation:

please, solve for x!

Answers

Answer:

I want brainliest!!!   :)

Step-by-step explanation:

That angle is 90 degrees

x+18+x=90

2x=72

x=36

How could you find the area of the parallelogram

Answers

Answer:

24

Step-by-step explanation:

Multiply the base by the height

Base:8

Height:3

To find the base..... Count the amount of grid squares on the bottom of the parallelogram.

To find the height.... Count the amount of grid squares on the side of the parallelogram.

I hope I've helped! Please leave a Thanks and Vote.

Can someone please help me with this?

Answers

Answer:

a. 3, 100 degrees

- I know 6 is 100 degrees and angle 3 is identical to angle 6. Therefore, angle 3 is 100 degrees.

b. 6, 100 degrees

- Angle 3 and 6 are identical. This means angle 6 is 100 degrees.

c. 4, 80

- Knowing a straight line is 180 degrees and all other angles are 100 degrees, I subtracted 180-100 = 80 degrees

Step-by-step explanation:

Everything was explained above, but be sure to know...

       N

W             E

       S

- Hope that helps! Please let me know if you need further explanation.

The answer is A. 3,100 degrees hopes this helps :D

john runs 3 miles in 1/2 of an hour at the same pace how many miles will he run in 1 hour

Answers

Answer:

6

Step-by-step explanation:

3miles=30mins

? miles=60mins

=6miles

multiply 3x^2-2x and 2x^2+3x-1

Answers

Answer:

6[tex]x^{4}[/tex] + 5x³ - 9x² + 2x

Step-by-step explanation:

Given

(3x² - 2x)(2x² + 3x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

= 3x²(2x² + 3x - 1) - 2x(2x² + 3x - 1) ← distribute both parenthesis

= 6[tex]x^{4}[/tex] + 9x³ - 3x² - 4x³ - 6x² + 2x ← collect like terms

= 6[tex]x^{4}[/tex] + 5x³ - 9x² + 2x

Denise had a bag full of 24 cubes consisting of red, blue, and black cubes. She concluded that
the probability of picking a blue cube from the bag without looking is neither a likely nor an
unlikely event. How many blue cubes could there be in the bag?
А 3
B 8
с 12
D 20

Answers

There has to be 8 blue cubes

Answer:

I think it is 12

Step-by-step explanation:

Which triangle side lengths form a right triangle? Choose all that apply.

5,6,7

6,8,14

8.15, 17

10, 12, 15

15,20.25

16, 18, 20

Answers

Answer:

all

Step-by-step explanation:

Written as a simplified polynomial in standard form, what is the result when
(2x-8)^2 is subtracted from 3x?

Answers

Answer:

- 2x² + 3x + 64

Step-by-step explanation:

3x - (2x-8)²       Write the equation and distribute the exponent

3x - 2x² + 64     Write the equation in order of degree of exponents, or standard form

- 2x² + 3x + 64

the result of the polynomial when [tex](2x-8)^2[/tex]is subtracted from [tex]3x[/tex] is

[tex]-4x^2+35x-64[/tex]

Given :

We need to simplify when [tex](2x-8)^2[/tex]is subtracted from [tex]3x[/tex]

Lets subtract[tex](2x-8)^2[/tex] is subtracted from [tex]3x[/tex]

we write the expression as

[tex]3x-(2x-8)^2[/tex]

Now we expand the square

[tex]3x-(2x-8)^2\\3x-(2x-8)(2x-8)\\3x-(4x^2-16x-16x+64)\\3x-4x^2+16x+16x-64\\-4x^2+35x-64[/tex]

The simplified polynomial is

[tex]-4x^2+35x-64[/tex]

Learn more

brainly.com/question/12099138

Factor the expression below.
4x2 - 20x + 25

Answers

Answer: (2x+5)^2

Step-by-step explanation:

Answer:

(2x-5)^2 ITS A MINUS NOT A PLUS I JUST. DID HIS ANSWER HES WRONG APEX VERAFIED

Step-by-step explanation:

Evaluate 1/2 t + 3/8 when t = 1/4

Answers

Answer:

1/2

Step-by-step explanation:

1/2 of 1/4 is 1/8

so 1/8 + 3/8 is 4/8

4/8 = 1/2

Answer:

1/2

Step-by-step explanation:

1/2t +3/8

Replace t with 1/4

1/2 x 1/4   +    3/8        (the x is the multiplication symbol)

Then multiply 1/2 and 1/4

1/8 +3/8

Then add.

4/8 = 1/2

P.S.

Hope this helps you and explains the answer! Have a great day and stay safe!

Which equation is perpendicular to 3x - y = 9 and goes through the point (6,6)

Answers

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - y = 9 into this form by subtracting 3x from both sides

- y = - 3x + 9 ( divide all terms by - 1 )

y = 3x - 9 ← in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex], thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (6, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - [tex]\frac{1}{3}[/tex] x + 8 ← equation of perpendicular line

what is the mean ? 2 6 9 8 6 6 3 8

Answers

Answer:

6

Step-by-step explanation:

add all up (is 48), then divide by 8

hope this helped :))

Answer:

6

Step-by-step explanation:

To find the mean

Add up all the number

(2+6+9+8+6+6+3+8) = 48

Divide by the number of numbers

48/8 = 6

In a particular game, a spinner with four equally-sized sectors labeled 1, 3, 5, and 6 is spun twice. One turn is considered 2 spins of the spinner. If the sum of the spins is even, you move backward 6 spaces. Otherwise, you move forward 2 spaces. What is the mathematical expectation for the number of spaces moved in one turn? *

Answers

Answer:

3 spaces backwards, if you still need it.

Step-by-step explanation:

The mathematical expectation for the game described is -3 spaces, indicating that on average, a player will move 3 spaces backward per turn.

Expected Value Calculation:

To calculate the mathematical expectation for the number of spaces moved in one turn in the game described, we must consider all possible sums of the two spins and their outcomes. These outcomes are moving backward 6 spaces if the sum is even, or moving forward 2 spaces if the sum is odd. With a fair four-segment spinner that has equal likelihood for landing on numbers 1, 3, 5, and 6, we can calculate each possible sum and its associated probability.

Even sum outcomes: (1+3), (1+5), (3+5), (5+1), (3+1), (5+3), (1+6), (3+6), (5+6), and (6+6).Odd sum outcomes: (1+1), (3+3), (5+5), (6+1), (6+3), and (6+5).

The probability of spinning an even sum is the number of even outcomes divided by the total number of outcomes (10/16). Similarly, the probability of spinning an odd sum is the number of odd outcomes divided by the total number of outcomes (6/16).

The expected value of moving spaces is therefore calculated by multiplying each sum outcome probability by the spaces moved for that outcome, and then summing these products:

Expected value = (Probability of even sum * -6 spaces) + (Probability of odd sum * 2 spaces)

= (10/16 * -6) + (6/16 * 2)

= (-60/16) + (12/16)

= (-48/16)

= -3

Thus, the mathematical expectation for the number of spaces moved in one turn is -3 spaces.

What is the simplified expression that is equivalent to (3x^3)^2 . (25x^6)1/2 ?

Answers

Answer:

9x⁵ · 25x⁶

Step-by-step explanation:

(3x³)²·(25x⁶)·[tex]\frac{1}{2}[/tex] =9x⁵ · 25x⁶

Please mark me as the brainliest

Final answer:

The simplified expression equivalent to ((3x^3)^2 · (25x^6)^{1/2}) is 45x^9. This is obtained by applying exponent rules, such as power to a power and multiplying terms with the same base resulting in the addition of their exponents.

Explanation:

The expression in question is (3x^3)^2 · (25x^6)^{1/2}. To simplify this expression, we need to apply the exponent rules. When we raise a power to a power as in (a^m)^n, the exponents are multiplied, so (3x^3)^2 becomes 3^2 · x^{3×2}, which simplifies to 9x^6.

Next, taking the square root, which is the same as raising to the power of 1/2, we apply it to (25x^6)^{1/2}. The square root of 25 is 5, and raising x^6 to the 1/2 power gives x^{6×1/2}, or x^3. Therefore, we have 5x^3 as the simplified result of (25x^6)^{1/2}.

Multiplying these results together, we combine 9x^6 and 5x^3. When we multiply terms with the same base, we add their exponents, therefore we get 9×5 · x^{6+3}, resulting in 45x^9.

hidoes anybody know answer please

Answers

Answer:

0,1,2,3,4 any of those would work and be less then 50

Step-by-step explanation:

0,1,2,3,4 can work since all are under 50

A pizzeria sells 452 pizzas in a day .The price for a pizza is £5.45 and the costs per pizza is £3.05.Calculate the profit if this pizzeria opens for 6 days in the week ​

Answers

Answer:

$807.554098

Step-by-step explanation:

Answer:

Profit is PRICE — COST

so;

[tex]452(5.45 - 3.05) \times 6[/tex]

hope u understand!

Find the exact area of a triangle with two sides that measure 6 yd and 2 yd with an included
angle of 10°

Answers

Answer:

1 yd^2

Step-by-step explanation

A=1/2(2)(6)Sin(10)

Final answer:

The area of a triangle with sides of 6 yd and 2 yd and an included angle of 10° is approximately 1.0439 square yards.

Explanation:

To find the exact area of a triangle with two sides measuring 6 yd and 2 yd and an included angle of 10°, you can use the formula for the area of a triangle when two sides and the included angle are known: A = ½ ab × sin(C), where a and b are the sides and C is the included angle.

The calculation will be: A = ½ × 6 yd × 2 yd × sin(10°). Using a calculator with the sine function set to degrees, we find that sin(10°) ≈ 0.17365. Therefore, the area A is approximately: A = ½ × 6 yd × 2 yd × 0.17365 ≈ 1.0439 yd².

Thus, the exact area of the given triangle is approximately 1.0439 square yards.

evalulate 3*5-2*(3+2)

Answers

Answer:

5

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Following the order, first is parenthesis:

3 · 5 - 2(5)

Multiplication:

15 - 10

5

According to one survey, 25% of high school

students reported that they would not get summer

jobs. Predict how many of the 948 students at

Mohawk High School will not get summer jobs.

Answers

Answer:

237

Step-by-step explanation:

25/100 = x/948, simplify to get 1/4 = x/948

cross multiply and get 948=4x

swap the sides and get 4x=948

divide both sides by 4 and get x=237

in conclusion 237 students won't get summer jobs.

Final answer:

About 237 students at Mohawk High School are predicted not to get summer jobs based on applying the survey percentage of 25% to the total student population of 948.

Explanation:

To predict how many students at Mohawk High School will not get summer jobs, we use the percentage from the survey and apply it to the total number of students at the school. According to the survey, 25% of high school students reported that they would not get summer jobs. Mohawk High School has a total of 948 students.

To find the number of students who will not get summer jobs, we perform the following calculation:

Percentage not working = 25%Total students = 948 studentsStudents not working = Total students × Percentage not working = 948 × 0.25Students not working = 237 students

Thus, we predict that about 237 students at Mohawk High School will not get summer jobs.

:) Find the area of the triangle.

Answers

base times height, and then dives what you got by 2
Base * height that’s the area of the triangle

What is the solution to the equation 2x+4 – 12 = 20?
N
X=2
X=9

Answers

it would be 14 if solving for x

Answer:

x=1 .

Step-by-step explanation:

b on edge 2020  

Does the point (5, 10) satisfy the inequality y>x+5

Answers

no, because if you plug in 10 for y and 5 for x then solve the inequality says 10>10

A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per liter, and the other 80 cents per liter. How much of each kind should be mixed to get 2,000 liters of the blend?

Answers

Answer:

Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.

Step-by-step explanation:

We can solve this by using simultaneous equations:

Let us express the question in terms of equations

Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.

Equation 1: 0.5a + 0.8b = 0.59(a+b)

Equation 2: a + b = 2000

From equation 2, a = 2000 - b (Let's call this equation 3)

    2. Substituting equations 2 and 3 in Equation 1:

0.5a + 0.8b = 0.59(a+b)

0.5(2000 - b) + 0.8b = 0.59(2000)

1000 - 0.5b + 0.8b = 1180

0.3b = 180

b = 600

Substitute in equation 3:

a = 2000 - 600

a = 1400

As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.

Final answer:

To create 2,000 liters of a cleanser blend sold at 59 cents per liter, the company should mix 800 liters of the 50-cent cleanser with 1,200 liters of the 80-cent cleanser, using a system of equations.

Explanation:

How to Mix Cleansers for a Desired Cost

To solve this problem, we need to set up a system of equations that reflects the cost and the quantity of the blend we want to obtain. Let's assign x to represent the amount in liters of the 50 cents per liter cleanser and y to represent the amount in liters of the 80 cents per liter cleanser.

Following the premise of the problem, we have two equations:

The total amount of the mixture should be 2,000 liters:

x + y = 2,000

The cost for the blend per liter is 59 cents, so the total cost for 2,000 liters would be 2,000 * $0.59. The sum of the individual costs of cleansers multiplied by their respective volumes should equal this total cost:

0.50x + 0.80y = 2,000 * $0.59

Solving this system of equations, we find that:

x = 800 liters of the 50 cents cleanser

y = 1,200 liters of the 80 cents cleanser

Thus, the company should mix 800 liters of the 50-cent cleanser with 1,200 liters of the 80-cent cleanser to obtain 2,000 liters of the blend sold for 59 cents a liter.

One period of y= cos(2x) is graphed below.

What is the domain of y=cos(2)
A
[-2, 2]
B. [0,infinity)
C. (-infinity, infinity)
D. [0, pi]

Answers

Answer:

-oo, oo

Step-by-step explanation:

The perimeter of a rectangular Swimming pool is 70 yards.It's length Is 21 yards Which of the following Can be used to find the width? A. Width = ( 70 yd + 42 yd ) ÷ 2
B. Width = (70 yd + 42 yd ) ÷4
C. Width= (70 yd - 42 yd ) ÷4
D. Width= ( 70 yd - 42 yd ) ÷ 2

Answers

Final answer:

The width of the rectangular swimming pool is 14 yards.

Explanation:

To find the width of the rectangular swimming pool, we can use the formula for the perimeter of a rectangle, which is P = 2(length + width). Given that the perimeter is 70 yards and the length is 21 yards, we can rearrange the formula to solve for the width:

P = 2(21 + w)

70 = 2(21 + w)

Divide both sides by 2:

35 = 21 + w

Subtract 21 from both sides:

14 = w

Therefore, the width of the swimming pool is 14 yards.

A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3. What is the approximate side length of the square?

Answers

Answer:

4.24

Step-by-step explanation:

Since it is the midpoint, it means that the entire diagonal will measure twice, that is 3 * 2 = 6

To calculate the length of the sides, we can do it by means of Pythagoras, since it is a square a = b

c ^ 2 = a ^ 2 + b ^ 2

c ^ 2 = 2 * a ^ 2

6 ^ 2 = 2 * a ^ 2

a ^ 2 = 36/2

a = 4.24

therefore, it means that the sides of the square measure 4.24

Answer:

Answer: C (3rd option)

Step-by-step explanation:

E2020

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