10 pts!!

In Circle O, centrally angle AOB measures π/3 radians.What is the length of arc AB?

Oksanka [162]

Answer:

$s=r*\pi /3$

Step-by-step explanation:

The length of any arc is calculated using the following equation:

s = r*θ

Where s is the length of the arc, r is the radius of the circle and θ is the angle in radians.

So, if we have a Circle O and a centrally angle AOB that measures π/3 radians, the value of the length of arc AB is calculated as:

$s=r*\pi /3$

Where r is the radius of the circle O.

5 0

3 years ago

7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S

Lelechka [254]

Answer:

The number of meters Robert will beat Sam is 12 meters.

Step-by-step explanation:

Given:

When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

Find:

the number of meters by which Robert will beat Sam

Step 1 of 1

When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.

Therefore, when Robert and Sam run for the same amount of time, Sam covers $\frac{40}{50}=\frac{4}{5}$ of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs $\frac{4}{5} \cdot 10=8$ meters.

This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.

5 0

1 year ago

Find the measure of the indicated angle. Round to the nearest degree.

slava [35]

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

5)

Adj = 14

Hyp = 26

∠X

so use

CAH

Cos(X) = 14/26

X = arcCos(14/26)

X = 57.421°

X = 57.4 ° ( rounded to nearest 10th )

6)

∠X

Hyp = 46

Opp = 12

use SOH

Sin(x) = 12/46

X = arcSin(12/46)

X = 15.121°

X = 15.1 ° ( rounded to nearest 10th )

7)

∠X

Adj = 29

Opp = 24

use TOA

Tan(x) = 29 / 24

X = arcTan( 29 /24)

X = 50.389

X = 50.4 ° ( rounded to nearest 10th )

8)

∠X

Adj = 22

Opp = 6

use TOA agian

Tan(x) = 6 / 22

X = arcTan(6/22)

X = 5.194

X = 5.2 ° ( rounded to the nearest 10th )

:)

8 0

3 years ago

Anyone wanna help me out

Sholpan [36]

Answer:

$58.91m^2$

Step-by-step explanation:

(smaller triangle below)

$A=\frac{ab}{2}\\ =\frac{8.6*5.5}{2}\\ =23.65m^2\\\\A=\frac{ab}{2}\\ =\frac{8.6*8.2}{2} \\=35.26m^2$

(bigger triangle above)

Since you have both triangle, and all lengths you dont need to worry about calculating the square

Add both together

$23.65+35.26\\=58.91m^2$

5 0

2 years ago

Read 2 more answers

One evening 1400 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $20 for covered pavilion seats a

Serga [27]

Answer:

The number of tickets for covered pavilion seats sold was 800 and the number of tickets for lawn seats sold was 600

Step-by-step explanation:

Let

x ----> the number of tickets for covered pavilion seats sold

y ---> the number of tickets for lawn seats sold

we know that

$x+y=1,400$ -----> equation A

$20x+10y=22,000$ ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (800,600)

see the attached figure

therefore

The number of tickets for covered pavilion seats sold was 800 and the number of tickets for lawn seats sold was 600

7 0

3 years ago