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beks73 [17]
3 years ago
5

An arc subtends a central angle measuring

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

The arc is one-third of the circumference.

Step-by-step explanation:

The area of a circumference = 2πr

C = 2πr ... (1)

If an arc subtends a central angle measuring 2π/3 rad,

The length of the arc = rθ

Given θ = 2π/3

Length of the arc L = r(2π)/3

L = 2πr/3... (2)

L = 1/3(2πr)

Since C = 2πr

L = 1/3C

This shows that the arc is one-third of the circumference.

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there were 200 tickets sold for a college game. Tickets were $4.50 for students and $9.00 for adults. The total amount was $1485
artcher [175]

70 tickets were sold to students and 130 tickets were sold to adults  

<h3><u>Solution:</u></h3>

The total number of tickets sold is 200 for a college game

The price of ticket for student is $4.50 and  

The price of ticket for adult is $9.00

The total amount was $1485

So, let the number of ticket sold to student be ‘a’

And the number of ticket sold to adult be ‘b’

The equation can be formed as follows:-

a + b = 200   ------ eqn 1                            

4.50a + 9b = 1485   ------- eqn 2                          

Multiplying equation (1) by 9 and subtracting from (2) , we get

(9a + 9b) - (4.50a + 9b) = 1800 – 1485

9a – 4.50a = 315

4.50a = 315

a = 70

Substituting value of “a” in equation (1), we get  

b = 130

Hence, 70 tickets were sold to students and 130 tickets sold given to adults

8 0
4 years ago
Area of rectangle sheet is 750 Sq. cm, if length is 30 cm, find its breadth and perimeter
zepelin [54]
Explanation: 750/30=25
The area is 30cm by 25cm because they multiply to 750
8 0
3 years ago
How to solve 1/2(1/3w+4)+6=10 and -5(h+4)=12
olga nikolaevna [1]
\frac{1}{2}(\frac{1}{3}w+4)+6=10\\\\&#10;\frac{1}{6}w+\frac{4}{2}+6=10\\\\&#10;\frac{1}{6}w+2+6=10\\\\&#10;\frac{1}{6}w+8=10\ \ \ |Subtract\ 8\\\\&#10;\frac{1}{6}w=2\ \ \ |Multiply\ by\ 6\\\\&#10;\boxed{w=12}\\\\\\&#10;-5(h+4)=12\\\\&#10;-5h-20=12\ \ \ |Add\ 20\\\\&#10;-5h=32\ \ |Divide\ by\ -5\\\\&#10;h=-\frac{32}{5}=-6\frac{2}{5}\\\\&#10;\boxed{h=-6\frac{2}{5}}
6 0
4 years ago
Read 2 more answers
Joe worked as a waiter at a charity banquet. He earned $17.50 for each hour worked. Joe also received a tip for this event in th
Alenkasestr [34]

Answer:

Joe still owes his dad $121.83

Step-by-step explanation:

Joe's new loan balance after paying his dad = amount he owes his dad - joes profit

Joe's profit from working as a waiter = Revenue - cost of renting a uniform

Revenue = amount earned for total hours worked + tips

total hours worked = 4 hours + 2.5hours = 6.5 hours

amount earned for total hours worked = 6.5 x $17.50 = $113.75

Revenue = $113.75 + $35.80. = $149.55

Joe's profit = $149.55 - $21.38 = $128.17

Loan balance = $250 - 128.17 = $121.83

Alternatively, the equation provided in the question can be used :

250 – 17.5(4 + 2.5) – (35.80 – 21.38)

250 - 113.75 - 14.42

= $121.83

4 0
3 years ago
Convert:<br> 2 miles 500 feet
Fed [463]
I think you want to convert it all to feet.

1 mile = 5,280 feet

2 miles = 5,280 × 2

5,280 × 2 = 10,560 feet

10,560 + 500 = 11,060 feet

2 miles and 500 feet is equal to 11,060 feet

8 0
3 years ago
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