Answer:
The sine of A is equal to 4/5.
Step-by-step explanation:
The sine of an angle is defined as the length of the opposite side divided by the length of the hypotenuse.
The side opposite A is 12 units long, and the hypotenuse 15. This means that the sine of A is equal to 12/15, or 4/5.
Answer:
C
Step-by-step explanation:
the variables in this system of equations are b and p these represent distance walked.
4b + 5p = 2 represents the total amount of time the walk takes
b + p = 8 represents the total distance walked :)
The answer isn't A only because the word problem states that from her house to the beach, it should be represented as b. And p for the beach to the park.
Answer:
4 litres of 12% solution
2 litre of 24% solution
Step-by-step explanation:
Let the 12% solution = l
Let the 24% solution = h
Dimitri needs a total of 6 litres of both :
l + h = 6 - - - - - - - - (1)
He needs a mixture of both volumes of both to give a 16% volume
12%l + 24%h = 16% * 6
0.12l + 0.24h = 0.96 ----(2)
From (1)
l + h = 6;
l = 6 - h
Substitute l =6-h into (2)
0.12(6 - h) + 0.24h = 0.96
0.72 - 0.12h + 0.24h = 0.96
0.72 + 0.12h = 0.96
0.12h = 0.96 - 0.72
0.12h = 0.24
h = 0.24 / 0.12
h = 2
From ;
l = 6 - h
l = 6 - 2
l = 4
$48.47. $33.20 + $18.33= $51.53
$51.53 - $100.00= $48.47