Answer:
17.96956941 =x
Step-by-step explanation:
tan theta = opposite side/ adjacent side
tan 38 = x /23
Multiply each side by 23
23 tan 38 = x/23 * 23
23 tan 38 = x
17.96956941 =x
The area would be .4 cubic feet. The perimeter would be 2.1
-3x+2y=8
Steps:
1) Add 3x to both sides to get rid of it by the y.
2y=3x+8
2) Divide both sides by 2 to isolate the y.
y= 3/2x + 8/2
3) Simplify (divide 8 by 2)
y= 3/2x+4
Hope this helps!
It is a 1.16% chance the student failed- it is a 98.94% one passed 6/7 passsd- there is a 98.94% probablility it passed!
Answer: the cost of an adult ticket is $21.5
the cost of a child ticket is $15.5
Step-by-step explanation:
Let x represent the cost of an adult ticket.
Let y represent the cost of a child ticket.
At an amusement park, the cost of 3 adult tickets and 4 children's tickets is $126.50. It means that
3x + 4y = 126.5- - - - - - - - - - - -1
Another customer paid $120.50 for 2 adult tickets and 5 children's tickets. It means that
2x + 5y = 120.5- - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 8y = 253
6x + 15y = 361.5
Subtracting, it becomes
- 7y = - 108.5
y = - 108.5/ - 7
y = 15.5
Substituting y = 15.5 into equation 1, it becomes
3x + 4 × 15.5 = 126.5
3x + 62 = 126.5
3x = 126.5 - 62
3x = 64.5
x = 64.5/3
x = 21.5
