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4 years ago

Refer to the figure to the right.

Mathematics

1 answer:

Law Incorporation [45]4 years ago

6 0

Step-by-step explanation:

Use arc length:

s = rθ

where r is the radius and θ is the angle in radians.

a) First, convert the angle to radians (1 degree = 60 minutes).

77 ⁵⁰/₆₀° × (π radian / 180°) = 1.358 radians

s = rθ

s = (9.67 in) (1.358 rad)

s = 13.1 in

b) s = rθ

4 in = (9.67 in) θ

θ = 0.414 radians

θ = 23.7°

θ = 23° 42'

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Please help me this is so confusing to me.

Naddik [55]

Hi there! :)

$\large\boxed{A = 120^{o}}$

Find the central angle using a ratio in regards to angle and circumference.

The radius is 27 units, so use the following equation to calculate circumference:

C = 2rπ

Therefore:

C = 2(27)π = 54π

Since we have the total circumference, we can write the following proportion:

$\frac{x}{360} = \frac{18\pi}{54\pi}$

Cross multiply:

54πx = 6480π

Divide both sides by 54π to isolate for x:

x = 120°

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3 years ago

Thats the horizontal distance between (-7,-4) (12,-4)

Svetradugi [14.3K]

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3 years ago

A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friend

ICE Princess25 [194]

Answer:

The price of a senior ticket is $12.

Step-by-step explanation:

Given:

Mr. Smith purchased 8 senior tickets and 5 child tickets for $136. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96.

Now, to get what is the price of a senior ticket.

Let the senior ticket be $x$ and the child ticket be $y$ :

So, according to question

$8x+5y=136$ .........(1)

$4x+6y=96$ ...........(2)

Now, we have system of equations:

Multiplying the equation (2) by -2 we get:

$-8x-12y=-192$ .......(3)

Now, adding the equation (3) and (1) the variables and the numbers:

$-8x-12y+8x+5y=-192+136$

$-7y=-56$

Dividing both sides by -7 we get:

$y=8$

Putting the value of y in equation (2) we get:

$4x+6(8)=96$

$4x+48=96$

On solving the equation we get:

$x=12$ .

Therefore, the price of a senior ticket is $12.

4 0

3 years ago

Janet wanted to determine her average phone call length over 90 days. She collected the phone bills and randomly picked ten entr

muminat

oops sorry wrong question. sorry if I confused anyone :(

3 0

3 years ago

A cyclist bikes at a constant speed for 22 miles. He then returns home at the same speed but takes a different route. His return

brilliants [131]

How concerned are you with how to get the answer?
Because I know the answer is 5 miles per hour
22/5= 4.4 hours
27/5= 5.4 hours

Alright this is how you solve it
Distance over time equals speed
So 22/y=x and 27/y+1=x
Start by solving for time by having these two equations equal each other
22/y=27/y+1
Cross multiply to get
22(y+1)=27y
22y+22=27y
Isolate Y
5y=22
Y=4.4
Now solve for X which is the speed, you can plug in Y to either of the two equations
22/4.4=x
X=5 miles per hour

4 0

3 years ago