Answer: Ground Speed = 91 km/hr, Bearing = 189°
<u>Step-by-step explanation:</u>
Step 1: Draw a picture (see attached) to determine the angle between the given vectors. Notice that I moved the wind vector 180° <em>so the head of the wind vector would line up with the tail of the plane vector. </em>This created an angle of 34° between the plane and wind vectors. <em>Why?</em>
- the dashed line is 45°
- 79° (plane) - 45° (wind) = 34°
Step 2: Solve for the length of the resultant vector using Law of Cosines
<em>c² = a² + b² - ab cos C</em>
c² = (111)² + (25)² - (111)(25) cos 34°
c² = 12,946 - 4601
c² = 8345
c = 91
Ground speed is 91 km/hr
Step 3: Solve for the bearing of the resultant vector using Law of Sines
A = 9°
<em>Reminder that we moved the wind vector 180° to create the resultant vector so we need to add 180° to our answer.</em>
Bearing = A + 180°
= 9° + 180°
= 189°
Answer:
B) 378 students could be expected to attend the game.
Step-by-step explanation:
Out of 40 students, 45% agreed,
45% of 40
= 45/100 * 40
= 18 students,
18 students out of 40 agreed.
So, Out of 840 students 18/40 * 840 students would be expected to agree. We get :- 378
Answer:
The height of the roof in his house is 72.43 ft.
Step-by-step explanation:
The volume of square pyramid is :
B= area of the base.
h= the height.
Given that,
The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.
The side length of the base of the roof is 28 feet.
Since the base of the roof is square in shape.
The area of the square is = side²
The area of the base is =(28×28) square feet
=784 square feet
Assume the height of the roof be h ft.
Then, the volume of the roof is = 
square feet.
According to the problem,
ft.
The height of the roof in his roof is 72.43 ft.
Answer:
Circumference of a circle
Answer: 7x^2-8x+10
Step-by-step explanation: hope this helps gl :)
thx for the points
