The boats can make 6 trips and another one for the remaining 4 people.
Answer and Step-by-step explanation:
You are correct in that we need to use the Law of Sines:
.
Here, when we use the Law of Sines, we have:
.
Cross multiply:
(sinB) * 28 = (sin63) * 29
28sinB ≈ 25.839
sinB ≈ 0.9228
Now, in order to solve for B, we need to use inverse sin (
):

The sines on the left cancel out, and we're left with:
B ≈ 67.3 degrees
Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:
180 - 67.3 = 112.7 degrees.
Hope this helps!
Answer:
Step-by-step explanation:
can you show a picture?
Answer:
x=2
Step-by-step explanation:
Original width = 6
New width 6+x+x
Orignal length 12
New length 12+x+x
A = l*w
160 = ( 6+2x) ( 12+2x)
Factor
160 = 2( 3+x) 2(6+x)
Divide each side by 4
40 = (3+x) (6+x)
FOIL
40 = 18+ 6x+3x+ x^2
40 = 18 +9x+x^2
Subtract 40 from each side
0 = x^2 +9x -22
Factor
0 = (x +11) (x-2)
Using the zero product property
x +11 =0 x-2 =0
x= -11 x=2
Since we cannot have a negative sidewalk
x =2
Answer: A B
Group A 0.25 0.75
Group B 0.45 0.55
Step-by-step explanation:
Since we have given that
Number of people of A in Group A = 15
Number of people of B in Group A = 45
Number of people of A in Group B = 20
Number of people of B in Group B = 25
Total number of people in Group A = 15+45 = 60
Total number of people in Group B = 20+25 = 45
So, Relative frequencies will be given below:
Relative frequency of A in Group A is given by

Relative frequency of B in Group A is given by

Relative frequency of A in Group B is given by

Relative frequency of B in Group B is given by

Hence, A B
Group A 0.25 0.75
Group B 0.45 0.55