Answer:
A =78.5 in^2
Step-by-step explanation:
The area of the circle is given by
A = pi r^2
A = pi * r^2
A = 25 pi
Using 3.14 for pi
A = 25 (3.14)
A =78.5 in^2
Answer:
Since y is a solution of the homogeneus system then satisfies Ay=0.
Since z is a solution of the system Ax=b then satisfies Az=b.
Now, we will show that A(y+z)=b.
Observe that A(y+z)=Ay+Az by properties of the product of matrices.
By hypotesis Ay=0 and Az=b.
Then A(y+z)=Ay+Az=0+b=b.
Then A(y+z)=b, this show that y+z is a solution of the system Ax=b.
Answer:
16
Step-by-step explanation:
If the real rectangle is 8x6, the area would be 48.
To find 1/3 of 48, you would do 48/3.
Hence,16
9514 1404 393
Answer:
- 89 in a restaurant
- 45 in a car
- 59 at home
Step-by-step explanation:
Let r, c, h represent the numbers of meals eaten in a restaurant, car, and at home, respectively. The problem statement tells us of the relations ...
r + c + h = 193
-r + c + h = 15
r + 0c -h = 30
Add the last two equations:
(-r +c +h) +(r -h) = (15) +(30)
c = 45
Add the first two equations:
(r + c + h) +(-r + c + h) = (193) +(15)
2c +2h = 208
h = 104 -c = 59 . . . . solve for h, substitute for c
The last equation can be used to find r.
r = 30 +h = 30 +59 = 89
89 meals are eaten in a restaurant; 45 meals in a car; and 59 at home.
