All categories

3 years ago

A circle has a circumference of 6. it has an arc of length 1/3

Mathematics

2 answers:

Lena [83]3 years ago

5 0

Answer:

Step-by-step explanation:

Maksim231197 [3]3 years ago

3 0

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s: s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3 / (6/π), or Ф = π/18 rad.

π 180°

Converting this into degrees, we multiply ------ by ----------

18 π rad

obtaining: Ф = 10°

You might be interested in

A car is traveling at 47 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answe

Amiraneli [1.4K]

Answer:

3676.44 rad/min

Step-by-step explanation:

It is a problem about the angular speed of the car's wheel.

You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:

$\omega=\frac{v}{r}$ ( 1 )

v: speed of the car = tangential speed of the wheels = 47mph

r: radius of the wheels = 27/2 in = 13.5 in

you change the units of the speed:

$47mph*\frac{63360in}{1mille}*\frac{1h}{60min}=49632\frac{in}{min}$

next, you replace the values of v and r in the equation (1):

$\omega=\frac{v}{r}=\frac{49632in/min}{13.5in}=3676.44\frac{rad}{min}$

Then, the car's tires are turning with an angular speed of 3676.44 rad/min

8 0

2 years ago

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

Viefleur [7K]

Each term differs by -68 and the first term is -68, we have:

$a_{n}=a_1-68(n-1) \implies \\ a_{n}=a_1-68n+68 \implies\\ a_n=-68-68n+68 \implies \\ a_n=-68n$

As an expession it's just -68n.

6 0

3 years ago

Least common multipul

Otrada [13]

ANSWER:

From 2 to 10=

Explanation:

2/2/10

5/1/5

/1/1

6 0

2 years ago

Frank made a New Years resolution to get into better shape. He decides to join LA fitness. He has to pay a one-time enrollment f

professor190 [17]

Answer: an equation that represents the total costs of the gym membership based on the number of months is

y = 25x + 50

Step-by-step explanation:

Let x represent the number of months that Frank makes use of the gym at LA fitness in order to get better in shape.

Let y represent the total cost of using the gym for x months.

He has to pay a one-time enrollment fee of $50 and then membership costs $25 per month. This means that the total cist for x month would be

y = 25x + 50

8 0

3 years ago

Sheldon wants to buy a laptop that costs $ 450 from an electronics store . He has two coupons to choose from coupon A which give

Gekata [30.6K]

Answer:

Coupon B

Step-by-step explanation:

Given

$Price = \$450$

$Coupon\ A = \$80$

$Coupon\ B = 20.5\%$

Required

Which coupon is better

From the question, we have:

$Coupon\ A = \$80$

$Coupon\ B = 20.5\%$

Coupon B means that:

$Coupon\ B = 20.5\% * \$450$

$Coupon\ B = 0.205 * \$450$

$Coupon\ B = \$92.25$

By comparison:

Coupon B gives him a better buy because: $\$92.25 > \$80$

7 0

2 years ago