Answer:
The final position of the ball is on the 16 yard line.
Step-by-step explanation:
The final position of the ball after the fourth play is given by the initial position, in this case the 27-yard line, followed by a succession of sums and subtractions depending on the outcome of each play. For gains we sum and for losses we subtract. So we have:
final position = 27 + 6 - 12 + 2 -7
final position = 27 - 11
final position = 16
The final position of the ball is on the 16 yard line.
Hello,
spinner has 1 yellow, 2 red, 3 blue and 2 green sections. What is the probability of not getting a yellow?
to find the probability to not get a yellow you have to know the total of color which is
1+2+3+2=8
and its 1 yellow
So the probability of not getting a yellow is 1/8
hope this help
Answer:
Distance= 6.6 miles
Bearing= N 62.854°W
Step-by-step explanation:
Let's determine angle b first
Angle b=20° (alternate angles)
Using cosine rule
Let the distance between the liner and the port be x
X² =8.8²+2.4²-2(8.8)(2.4)cos20
X²= 77.44 + 5.76-(39.69)
X²= 43.51
X= √43.51
X= 6.596
X= 6.6 miles
Let's determine the angles within the triangle using sine rule
2.4/sin b = 6.6/sin20
(2.4*sin20)/6.6= sin b
0.1244 = sin b
7.146= b°
Angle c= 180-20-7.146
Angle c= 152.854°
For the bearing
110+7.146= 117.146
180-117.146= 62.854°
Bearing= N 62.854°W
Answer:
Carlos is 35 years old now
Step-by-step explanation:
Assume that Carlos is x years old now
∵ Carlos is x years old now
∵ Carlos is 33 years younger than Kristen
- Kirsten's age is the sum of x and 33
∴ Kirsten is x + 33 years old now
2 years ago
∵ Carlos's age = x - 2
∵ Kristen's age = x + 33 - 2 = x + 31
∵ Kristen's age was 2 times Carlos's age
- Equate Kristen's age by 2 times Carlos's age
∴ x + 31 = 2(x - 2)
- Simplify the right hand side
∴ x + 31 = 2x - 4
- Subtract x from both sides
∴ 31 = x - 4
- Add 4 to both sides
∴ 35 = x
∵ x represents Carlos's age now
∴ Carlos is 35 years old now
