In △ABC, m∠A=16°, m∠B=49°, and a=4. Find c to the nearest tenth. NOT A RIGHT TRIANGLE
1 answer:
Answer:
c = 13.2
Step-by-step explanation:
* Lets explain how to solve the problem
- In Δ ABC
# Side a is opposite to ∠A
# Side b is opposite to ∠B
# Side c is opposite to ∠C
- The sine rule is:
#
* Lets solve the problem
- In Δ ABC
∵ m∠A = 16°
∵ m∠B = 49°
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ m∠A + m∠B + m∠C = 180°
∴ 16° + 49° + m∠C = 180°
∴ 65° + m∠C = 180° ⇒ subtract 65° from both sides
∴ m∠C = 115°
- Lets use the sine rule to find c
∵ a = 4 and m∠A = 16°
∵ m∠C = 115°
∵
- By using cross multiplication
∴ c sin(16) = 4 sin(115) ⇒ divide both sides by sin(16)
∴
* c = 13.2
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Answer:
The number of people who paid $ 12 for reserved seat is 5,000
The number of people who paid $ 4 for general seat is 29,000
Step-by-step explanation:
Given as :
The total number of people attending a ballgame = 34,000
The total receipt of the ticket's seat = $ 176,000
The amount pad for reserved seat = $ 12
The amount paid for general admission = $ 4
Let The number of people for reserved seat = r
And The number of people for general admission = g
Now, According to question
The total number of people attending a ballgame = The number of people for reserved seat + The number of people for general admission
or, r + g = 34,000 ...........1
The total receipt of the ticket's seat = The amount pad for reserved seat × The number of people for reserved seat + The amount paid for general admission × The number of people for general admission
Or, $ 12 × r + $ ×4 g = $ 176,000 .........2
or, $ 12 × ( r + g ) = $ 12 × 34000
Or, $ 12 r + $ 12 g = $ 408,000
Solving equation
( $ 12 r + $ 12 g ) - ($ 12 r + $ 4 g ) = $ 408,000 - $ 176,000
Or, ( $ 12 r - $ 12 r ) + ( $ 12 g - $ 4 g ) = $ 232,000
Or 0 + 8 g = 232,000
∴ g =
I.e g = 29,000
So , The number of people for general admission = g = 29,000
Put the value of g in Eq 1
I.e r + g = 34,000
or , r = 34,000 - g
∴ r = 34000 - 29000
I.e r = 5,000
So, The number of people for reserved seat = r = 5,000
Hence The number of people who paid $ 12 for reserved seat is 5,000
And The number of people who paid $ 4 for general seat is 29,000 Answer
Answer:
Step-by-step explanation:
Divide n by 100,000.
This gives us the "number of times 100,000 fits in n", or, "how many 100,000's n is", or as the hint says, "how many times larger n is than 100,000".
All represented by this formula: