Answer:
79.7°
Step-by-step explanation:
We resolve the speed of the plane into horizontal and vertical components respectively as 300cos75° and 300sin75° respectively. Since the wind blows due west at a speed of 25 miles per hour, its direction is horizontal and is given by 25cos180° = -25 mph. We now add both horizontal components to get the resultant horizontal component of the airplane's speed.
So 300cos75° mph + (-25 mph) = 77.646 - 25 = 52.646 mph.
The vertical component of its speed is 300sin75° since that's the only horizontal motion of the airplane. So the resultant vertical component of the airplane's speed is 300sin75° = 289.778 mph
The direction of the plane, Ф = tan⁻¹(vertical component of speed/horizontal component of speed)
Ф = tan⁻¹(289.778 mph/52.646 mph)
Ф = tan⁻¹(5.5043)
Ф = 79.7°
Answer:
y = -5/4x - 3/2
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - (-4) / -6 - 2
10 / -8
= -5/4
-4 = -5/4(2) + b
-4 = -5/2 + b
-3/2
The commutative property of addition is just switching the numbers around really! so yr answer would be 9+8=8+9
Answer:100
Step-by-step explanation:
There are ten total people:
10C3
10!/(7!×3!) = 120
Note: but that includes all the cases where there are no senior partners
So firstly let figure out the number of cases where there are no senior partners
because there are 6 junior partners
6C3
= 6!/(3!×3!) = 20
120 - 20 = 100 or the number of possible groups where there is at least 1 senior partner.
Answer: D. 3 2/3 - 2
Step-by-step explanation: If you add up all of the boxes, you get 3 4/6, which is simplified to 3 2/3. Then, subtract the marked boxes (which equal 1 2/3) from 3 2/3 and you get 2. Hence, your answer: 3 2/3 - 2 (= 1 2/3)
