Answer:
When we know all 3 sides, we use Heron's Formula
area = sqrt [s *(s-a) * (s-b) * (s-c)]
where "s" is the semi-perimeter which in this case equals
s = (6 + 8 + 12) / 2 = 13
area = sqrt [13 * 5 * 7 * 1]
area = sqrt 455
area = 21.3307290077
area = 21.33 square feet (rounded)
Step-by-step explanation:
X+y+5=0
y=-x-5
If a solution exists y=y so we can say
x^2-9x+10=-x-5 add x+5 to both sides
x^2-8x+15=0 now factor
x^2-3x-5x+15=0
x(x-3)-5(x-3)
(x-5)(x-3) so x=3 and 5, using y=-x-5
y(3)=-8 and y(5)=-10
So the two solutions are:
(3,-8) and (5,-10)
The possibilities of an even number are 2, 4, 6, 8, 10, 12, 14, and 16 .
The possibilities of an odd prime are 3, 5, 7, 11, and 13.
8 even numbers + 5 odd primes = 13 possibilities of success
out of 16 total possible outcomes.
Probability of success = 13/16 = 0.8125 = 81.25% .
Rounded to the nearest thousandth, it's 0.813 .
Answer:
Step-by-step explanation:
1) ∠WVZ and ∠VWX are right angles & VX = = WZ Given
2) WV = VW Reflexive property
3) ΔWVZ ≅ ΔVWX HL
4) ∠Z = ∠X CPCT
CPCT --> Corresponding parts of congruent triangle.
Answer:
21,40,42
Step-by-step explanation:
That's it.Wish it's correct.:D
