Triangle, not a triangle, not a triangle, triangle
Determining if three side lengths can make a triangle is easier than it looks. All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.[
If the inscribed square has sides of 8in, the diameter of the circle is equal to the diagonal of the square.
d^2=x^2+x^2
d^2=2x^2
d=√(2x^2)
Since d=2r, r=d/2 so
r=(1/2)√(2x^2)
r=√((2x^2)/4)
r=√(x^2/2), since x=8
r=√(64/2)
r=√32
r=√(16*2)
r=4√2 in (exact)
r≈5.66 in (to nearest hundredth of an inch)
Answer:
2 is option 3
3 is option 2
Step-by-step explanation:
Person = 1 head and 2 legs
horse = 1 head and 4 legs
p +h = 74
p = 74-h
2p +4h = 196
2(74-h) +4h = 196
148-2h +4h = 196
148 +2h = 196
2h = 48
h = 48/2 = 24
24 horses
50 people
answer is B
Answer:
(x - 8) and (x + 2) are both factors
Step-by-step explanation:
Given
x² - 6x - 16
Consider the factors of the constant term (- 16) which sum to give the coefficient of the x- term (- 6)
The factors are - 8 and + 2, since
- 8 × 2 = - 16 and - 8 + 2 = - 6, thus
x² - 6x - 16 = (x - 8)(x + 2)
