The remaining area that the grass will cover will be given by:
Area=[area of rectangle]-[area of the triangle]
area of rectangle will be:
A1=length*width
=20*8
=160 square feet
The area of the triangle will be:
A2=1/2absin theta
since the triangle is equilateral, all the angles are equal and the size of each angle is 60°. Thus the area will be:
A2=1/2*5*5sin 60
=18.3
thus the remaining area of the grass will be:
Area=160-18.3
=149.7 square feet
Answer:
slope = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
8x - 8y = 16 ( subtract 8x from both sides )
- 8y = - 8x + 16 ( divide all terms by - 8 )
y = x - 2 ← in slope- intercept form
with slope m = 1
You don't need 3 equations to get a general solution. To do this use the equations x-3y-z=0 and -x+2y+0z= -3. Start out by letting z = t. Then solving those 2 equations simultaneously, your x's cancel out leaving you with -y-z=-3. But since z=t, then -y=-3+t or y=3-t. Now sub that in for y in the first equation, along with the fact that z=t to get x-3(3-t)-t = 0 and solve for x. x=9-2t. So a general solution for this would be (9-2t, 3-t, t)
Answer:
C. 0.1
Step-by-step explanation:
The sum of the probabilities of all possible events must equal 1.
Since there is no probability of purchasing two vehicles ore more, the events are:
- Purchase a new vehicle (0.5)
- Purchase a used vehicle (0.4)
- Purchase no vehicle at all (x)
The probability of not purchasing a vehicle is:

The probability that you purchase no vehicle at all is: C. 0.1