9514 1404 393
Answer:
(1.43, 1.87)
Step-by-step explanation:
The formula for the incenter requires we know the lengths of the sides of the triangle. These are found using the distance formula.
BC = √((4-3)^2 +(5+1)^2) = √37
AC = √((-4-3)^2 +(2+1)^2) = √58
AB = √((-4-4)^2 +(2-5)^2) = √73
Then the incenter is ...
(A(BC) +B(AC) +C(AB))/(BC +AC +AB)
≈ (6.08276(-4, 2) +7.61577(4, 5) +8.54400(3, -1))/22.2425
≈ (1.42808, 1.87480)
Rounded to hundredths, the incenter is (1.43, 1.87).
Add 9 to both sides to form a perfect square trinomial:
x² + 6x = 7
x² + 6x + 9 = 16
x² + 2•x•3 + 3² = 16
(x + 3)² = 16
(recall that (a + b)² = a² + 2ab + b²)
Now solve for x. Taking square roots on both sides, we get
x + 3 = ± √16
x + 3 = ± 4
x = -3 ± 4
so the two solutions are x = -7 and x = 1.
So we want to find the radius of the circle. So just divide 56.52 by 3.14 and 2, which is 9. And then to find the area, just square 9 and multiply it by pi, which is 354.34 square inches.
The area of the rug is 354.34 square inches.
Answer:
False
Step-by-step explanation:
To split the rectangle into 2 parts, you can go one of two ways. One way would make the parts 15" by 10", and the other way would make the two parts 30" by 5". Neither way is equal on all sides, which means neither one is a square. That would make the statement false.
30
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
| |
| |
| 5 |
| |
| _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _|
| 30 |
| |
| 5 |
| |
| _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ |
30
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
| 15 | 15 |
| | |
| | |
| | |
| | 10 |
| | |
| | |
| | |
| | |
| _ _ _ _ _ _ _ _ _ _ _ _ _ _ | _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ |
**Pretend my drawings are accurate to the lines, the tops and bottoms are actually 30 and 10 in measurement :-) **
Hope this helps!
pls give me thank on my Question