All categories

3 years ago

The arc length

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

s = rθ
2.5 radians
143.24°

Step-by-step explanation:

The applicable formula is ...

s = rθ

where s is the arc length, r is the circle's radius, and θ is the central angle in radians.

Filling in the given values, we find ...

15 = 6θ

θ = 15/6 = 2.5 . . . radians

Pi (π) radians is 180°, so the angle in degrees is ...

2.5(180°/π) ≈ 143.24°

You might be interested in

Lucas bought an 8 pack if bottled iced tea. Each bottle contained 14.75 fluid ounces. What was the totals number of fluid ounces

Mrac [35]

Answer:

118 fluid ounces in all.

Step-by-step explanation:

The answer 118 because 14.75 multiplied by 8 is 118.

4 0

3 years ago

A concentric-tube heat exchanger cools hot water owing at 1 kg/s from 80C to 30C. It uses air owing at 5 kg/s to perform this co

nordsb [41]

Answer:

The log-mean-temperature-difference is 24.03⁰C

Step-by-step explanation:

First we need to know if the heat exchanger is in parallel flow or counter-flow. However, counter flow arrangement is best used to recover heat.

L.M.T.D for counter flow is given as;

$L.M.T.D =\frac{(T_h_f_1 -T_c_f_2)-(T_h_f_2 -T_c_f_1)}{2.3log[\frac{T_h_f_1 -T_c_f_2}{T_h_f_2 -T_c_f_1}]}$

where;

Thf₁ is the initial temperature of the hot fluid = 80°C

Tcf₂ is the final temperature of the cold fluid = 51.5°C

Thf₁ - Tcf₂ = 80 - 51.5 = 28.5⁰C

Thf₂ is the final temperature of the hot fluid = 30°C

Tcf₁ is the initial temperature of the cold fluid = 10°C

Thf₂ - Tcf₁ = 30 - 10 = 20⁰C

$L.M.T.D = \frac{28.5 -20}{2.3Log[\frac{28.5}{20}]} \\\\L.M.T.D = \frac{8.5}{0.3538} =24.03^oC$

Therefore, the log-mean-temperature-difference is 24.03⁰C

3 0

3 years ago

Read 2 more answers

Can someone please give me the (Answers) to this? ... please ... I need help….

Veronika [31]

Answer:

I just did for your previous posting.

3 0

3 years ago

What is the simple interest on $360 borrowed for 30 months at 12.3%?

astra-53 [7]

Answer:

$110.70

Step-by-step explanation:

I=PRT

P (principal)=360

R(rate)=12.3%

T(time)=30 months (2 and half years)

I=360*12.3%*2.5

=$110.70

Just to note 12.3% is also 0.123 we sometimes change it into a decimal.

3 0

3 years ago

Read 2 more answers

What is the area of the square? Help me pls

Allushta [10]

Answer and Step-by-step explanation:

First, we need to find out the circumference of the circle.

We know that the circle has a radius of 1, and that we are finding the circumference. We'll use the circumference equation of a circle.

2 $\pi$ r

Plug in 1 for r.

$2\pi (1)$ = $2\pi$ = circumference of circle

Now, multiply the answer (the circumference) by 4 to get the perimeter of the square.

$2\pi$ x 4 = $8\pi$ = perimeter of square

Now, divide the perimeter by 4 to get what the side of the square is.

$8\pi$ ÷ 4 = $2\pi$

Now, multiply $2\pi$ by $2\pi$ (side times side) to get the area.

$2\pi$ x $2\pi$ = $4\pi$

The answer is A. $4\pi$

#teamtrees #PAW (Plant And Water)

I hope this helps!

Brainliest is appreciated,

8 0

3 years ago