Answer:
Part A: Data summary is given in the table
Part B: out of the total 100 students, 15 students do not like either tennis or track
= 0.15
0.15 × 
= 15%
Part C:
Total no. of students that dislike track = 60
Total no. of students that dislike tennis = 40
According to the survey results, more people dislike track.
Answer: tan62 = 10/x
Step-by-step explanation: Let me know if you need an explanation.
Step-by-step explanation:
$864 of 4%
864/100 x 4
=8.64 x 4
=34.56
Therefore, the total income tax deduction is 34.56.
Answer:
Yes
Step-by-step explanation:
To fins the area if the rectangle you need to find the hypotenuse of the triangles, which are equal. so 10.4 squared plus 15.3 squared is 342.25, and the square root is 18.5.
Then, 18.5 multiplied by 7 is 129.5. Then to fins the area of a triangle you need to do it like a rectangle but in this case, sense there are 2, then just find the area. 129.5+(10.4 times 15.3=159.12)=129.5+159.12=288.62
Answer:
x = - 1, y = 2, z = 1
Step-by-step explanation:
Given the 3 equations
2x - y + 3z = - 1 → (1)
x + 2y - 4z = - 1 → (2)
y - 2z = 0 → (3)
Add (1) and (3) term by term
2x + z = - 1 → (4)
Multiply (1) by 2
4x - 2y + 6z = - 2 → (5)
Add (2) and (5) term by term
5x + 2z = - 3 → (6)
Multiply (4) by - 2
- 4x - 2z = 2 → (7)
Add (6) and (7) term by term
x = - 1
Substitute x = - 1 into (4)
- 2 + z = - 1 ( add 2 to both sides )
z = 1
Substitute x = - 1, z = 1 into (2)
- 1 + 2y - 4 = - 1
- 5 + 2y = - 1 ( add 5 to both sides )
2y = 4 ( divide both sides by 2 )
y = 2
solution is (x, y, z ) = (- 1, 2, 1 )
