So, first you need to put both of them in Point slope. They are, y - 1= 1(x-6) and y - 3 = -3 (x-2). Make them both slope intercept. Which is, y=x-7 and y=-3x-3. Then, g=find the point of interception. Which is, (1,-6)
Let
F1------------------------- > airplane speed <span>150 mi / h East
F2-------------------------- > </span>wind speed <span>30 mi / h North
calculate the resultant force R
F1x=150 F1y=0 F2x= 0 F2y=30
Rx=F1x+F2x------------- >150+0 ---------------- >Rx=150
</span>Ry=F1y+F2y------------- >0+30 ---------------- >Rx=30
║R║=√150² 30²=√23400=152.97----- >153 mi/h
tan(theta)=Ry/Rx=30/150=0.20
arctan (0.20)=11.31 degrees-----------11.3 degrees
the answer is
actual speed 153 mi/h and direction 11.3 degrees North-East (I Quadrant)
Answer:
The width will be 
Step-by-step explanation:
Thinking process:
Let the model be:
factoring out 4 gives:
Factorizing the expression in the parentheses gives:
Therefore, since the expression in the parentheses cannot be factorized further, the expression is:
Answer:
The Height of the cliff is 41.5 meters tall.
Option B. 41.5 meters.
Step-by-step explanation:
Given:
AB = 85 meter
Angle of elevation ∠ C= 26°
To Find:
Cliff height = AB = ?
Solution:
In right angle Triangle ABC by tangent Identity we have
Substituting the given values we get
The Height of the cliff is 41.5 meters tall.
Step-by-step explanation:
lawn = garden - veg - flower
=(14*10) - ((5+7)/2 *10) - (0.5*3*8)
= 140 - 60 - 12
= 68 Squared meters
