u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,
⇒
⇒
⇒
⇒
⇒ u = 10.4
Hence, u = 10.4 and v = 12.
Answer:
Step-by-step explanation:
tabel
.52, .48, 1
.84,.16,1
.67,.33,1
Answer:
(a) ðz/ðt = 1500miles/hr
(b) 10minutes
Step-by-step explanation:
Let x rep plane one
Let y rep plane two
ðx/ðt = 1440miles/hr = speed of plane one
ðy/ðt = 420miles/hr = speed of plane 2
ðz/ðt = ? = rate of change of distance btw two plane moving at right angle to meet at point o...
See attachment
Since x² + y² = z²... equation 1
So therefore (240² + 70²) ^½= z = 250 miles = distance between two planes
Differential rate of equation 1 gives
(2x* ðx/ðt ) + (2y* ðy/ðt) = 2z* ðz/ðt
Substituting to get ðz/ðt
(2*240*1440) + (2*70*420) = 2*250*ðz/ðt
750000 = 500 ðz/ðt
ðz/ðt = 1500miles/hr
B.
Since v = d/t where d = distance = 250miles
t = time = ? = time needed for controller to divert one of e planes , v = 1500miles/hr
t = d/v = 250/1500 = 10minutes
Answer:
27 paper fortune tellers
Step-by-step explanation:
fortune tellers = time
3 = 6
6 = 9
9 = 12
12 = 15
15 = 18
18 = 21
21 = 24
24 = 27
27= 30
so 30 fortune tellers will be made in 30 minutes
hope this helps!!!
Answer:
1. 2x
2. v(t) =2
3. 24mph
Step-by-step explanation:
1. W(t) = x^2 -3
dw/dt = 2x dx/dt
2. v(t) =2
Take the derivative to get the acceleration
dv/dt = 0
The choice you picked has 0 velocity so it is not in motion
3. To find the velocity
x(7) - x(5)
---------------
7-5
2(7)^2 -2(5)^2
-----------------
7-5
2*49 - 2*25
---------------2
98-50
---------
2
48/2
24 mph