For a right triangle with 60° angle, and hypotenuse h=10√3,
x=h*sin(60)=10√ 3 * √3/2 = 30/2=15
y=h*cos(60)=10√3 * (1/2) = 5√3
There are 400 balcony seats in the concert hall.
<u>Step-by-step explanation</u>:
Step 1 :
- The number of lower seats = 450 seats
Total seats = Lower seats + balcony seats
Step 2 :
- Tickets sold = 170 tickets
- Total tickets = x
Tickets sold = 1/5 of total tickets.
⇒ 170 = (1/5)x
⇒ x = 5
170
⇒ x = 850 tickets
∴ Total seats in the concert hall is 850.
Step 3 :
Total seats = 450 + balcony seats
850 - 450 = balcony seats
∴ balcony seats = 400
Answer:
(-6,8)
Step-by-step explanation:
2x + 9y = 60
-9x + y = 62 --> y = 9x + 62 --> 2x + 9(9x + 62) = 60 -->
2x+ 81x + 558 = 60 -->
83x + 558 = 60 -->
83x = -498 -->
x = -6 -->
y = 9(-6) + 62 -->
y = 8
Answer:
348
Step-by-step explanation:
Length-l
Width-w
Height-h
A=2(wl+hl+hw)=2·(8·9+6·9+6·8)=348
Answer:
yes
Step-by-step explanation: