Answer:
16.5
Step-by-step explanation:
Given that :
Number of refuge tour guides = 2
Number of tour guides = 11 per tour guide
Duration of each tour = 45 minutes
To calculate the person hour per day for the tour :
Person hour per day = (Total minute spent per day / 60)
Total minutes spent per day= (Number of tour guides) * (Number of refuge tour guides) * (duration per tour)
Total minute spent = (2 * 11 * 45) = 990 minutes
Person hour per day = 990 / 60
= 16.5
<em>Question:</em>
The area of the kite is 48 cm². What are the lengths of the diagonals PR and QS?
________
<em>Solution:</em>
You can split the kite into two isosceles triangles: PSR and PQR.
Assume that both diagonals intersect each other at the point O.
• Area of the triangle PSR:
m(PR) · m(OS)
A₁ = ————————
2
(x + x) · x
A₁ = ——————
2
2x · x
A₁ = ————
2
A₁ = x² (i)
• Area of the triangle PQR:
m(PR) · m(PQ)
A₂ = ————————
2
(x + x) · 2x
A₂ = ——————
2
2x · 2x
A₂ = ————
2
4x²
A₂ = ———
2
A₂ = 2x² (ii)
So the total area of the kite is
A = A₁ + A₂ = 48
Then,
x² + 2x² = 48
3x² = 48
48
x² = ———
3
x² = 16
x = √16
x = 4 cm
• Length of the diagonal PR:
m(PR) = x + x
m(PR) = 2x
m(PR) = 2 · 4
m(PR) = 8 cm
<span>• </span>Length of the diagonal SQ:
m(SQ) = x + 2x
m(SQ) = 3x
m(SQ) = 3 · 4
m(SQ) = 12 cm
I hope this helps. =)
Tags: <em>polygon area triangle plane geometry</em>
Answer:
6025.532
Step-by-step explanation:
assume the unknown value was Y
11328=188% x Y
multiplying both sides by 100 Divide both sides of the equation by 188 we will arrive at:
Y=3x 100/188
Y=6025.532 %
