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:
Answer:
w = -20
Step-by-step explanation:
-
+ 9 = 13
Shift the (+9) to the other side of the equation. (+9) will turn into (-9).
-
= 13 - 9
= 4
Shift the (÷5) to the other side of the equation. (÷5) will turn into (×5).
-w = 4 × 5
= 20
Multiply both sides of the equation by (-1) so that -w will turn into w.
w = (-1) × 20
w = -20
Answer:
Perimeter = 78.7 inches
Step-by-step explanation:
From the given question, applying the Pythagoras theorem to one of the congruent triangles formed, we have;
=
+ 
=
+ 
=841 + 81
= 922
hyp = 
= 30.3645
The perimeter of the triangle can be determined as;
perimeter =
+
+ 
= 30.3645 + 18 + 30.3645
= 78.729
The perimeter of the triangle = 78.7 inches
Answer:
x > 9
Step-by-step explanation:
6x + 9 < 7x .
-6x -6x <---- Subtract 6x from both sides.
9 < x <----- 7x - 6x = 1x (which can also be written as just x)
Therefore the answer is x > 9.