He went 90 miles, 180 minutes. explanation: there are 4 , 15 minute intervals in an hour. 4 x 15 is 30. so 30 miles an hour. you multiply 30 miles x 3 hours and get 90 miles. then there’s 60 minutes in an hour and 60 x 3 is 180.
She has 7 soccer trophies.
So lets assume she wants to display it in a straight line:
The 1st has 7 ways
The 2nd has 6 ways
The 3rd has 5 ways
The 4th has 4 ways
until the last.
Total = 7 × 6 ×5 × 4 × 3 × 2 × 1 = 5040 ways.
4 | 2x + 7 | = 16...divide both sides by 4
| 2x + 7 | = 16/4
| 2x + 7 | = 4
2x + 7 = 4 -(2x + 7) = 4
2x = 4 - 7 -2x - 7 = 4
2x = -3 -2x = 4 + 7
x = -3/2 -2x = 11
x = -11/2
so x = -3/2 and x = -11/2
Answer:
2√5
Step-by-step explanation:
Using the formula for calculating resultant
R = √Fx + Fy
\sum Fx = -2sin 45 + 4 cos 45
\sum Fx = 2cos45
\sum Fx = 2(1/√2)
\sum Fx = 2/√2
Similarly;
\sum Fy = 2 cos 45 + 4 sin45
\sum Fx = 2(1/√2) + 4(1/√2)
\sum Fx = 6/√2
Magnitude = √(2/√2)²+6/√2)²
Magnitude = √4/2 + 36/2
Magnitude = √2+18
Magnitude = √20
Magnitude = 2√5
Hence the magnitude of their sum is 2√5