Answer:
SinƟ = 12/37
CosƟ =35/37
TanƟ = 12/35
Step-by-step explanation:
The diagram of the triangle is attached
Using SOH CAH TOA
SinƟ = Opposite/Hypotenuse
SinƟ = 12/37
CosƟ= adjacent/Hypo
tenuse
CosƟ =35/37
TanƟ=Opposite/Adjacent
TanƟ = 12/35
38 of the bags have zips but no buttons
A = side^2 * (2 + 2sqrt2))
A = 4^2 * (2 + 2sqrt2))
A = 77.25 cm^2
Given:
t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water
Required:
a) Expression of distance traveled with moving water with 3.6h
Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current
Solution:
Working formula: distance = velocity*time
a) For travelling downstream, we get the equation
d = (x +y)*3.6
For travelling upstream, we get the equation
d = (x-y)*4.5
b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of
(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9
c) percentage = 1/9*100% = 11.1%
<em>ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
</em> <em>b) y = x/9
</em> <em>c) 11.1%</em>
The options are not provided, but method is stated below
Answer:
Quadratic equation ax2 - 6x + c = 0
options would be given for a and c
- substitute a and c
- check for Discriminant
-
- 36 -4ac
These conditions will fetch us the result required among the options.
Note : the
sign will give us the result for Two real unequal solutions and two real equal solutions. If we only need Real unequal solutions we only use > sign instead of