Area of the triangle = (1/2)*base*height
base = x
height = altitude = x+6
Area of the triangle = (1/2)*x*(x+6) = 108
(1/2)*x*(x+6) = 108
x²+6x-216 =0
(x+18)(x-12)=0
x=-18, or x=12
We can use only positive value, so x=12.
Base =12 cm.
Answer:
x > -1.25
Step-by-step explanation:
First, let's start with the left side of the equation.
1) multiply 0.2(x + 20). You will get 0.2x+4
So you have 0.2x+4-3
Simplify that, you will have 0.2x+1
Now, we need to isolate the variable (bring all terms with "x" to one side), and move everything else to another side. Remember that when you bring something to the other side, you must change the sign in front of the term (for example, bringing 2x to another side would change it to -2x. another example is if you were to bring -2 to another side, you would have to change it to 2.)
2) 0.2x+6.2x>-7-1 Moved like terms to one side.
6.4x>-8 I combined the terms here!
x > -1.25 Simplified!
Let me know if you need anything else :)
Answer:
64 + 64sqrt(3)
174.9 cm²
Step-by-step explanation:
AD/2 = 8cos(60) = 4
AD = 8 cm
Height of each triangle = 8sin(60)
= 4sqrt(3)
sqrt: square root
Area = 8² + 4(½ × 8 × 4sqrt(3))
= 64 + 64sqrt(3) cm²
= 174.8512517 cm²
Answer:
9
Step-by-step explanation:
5 plus 4 is 9
