Length (L): L
width (w): 1/2L + 3
Area (A) = L x w
308 = (L)(1/2L + 3)
308 = (1/2)L² + 3L
616 = L² + 6L
0 = L² + 6L - 616
0 = (L - 22)(L + 28)
0 = (L - 22) 0 = (L + 28)
L = 22 L = -28
Since length cannot be negative, disregard the -28
L = 22
width (w): 1/2L + 3 = 1/2(22) + 3 = 11 + 3 = 14
Answer: width = 14 meters, length = 22 meters
2/5+2/3
6/15+10/15=
16/15=1 1/15
Hope this helps!
Answer: 95.996 feet ( Approx )
Step-by-step explanation:
Here, the distance of the child from the spot that is directly under the balloon = 75 ft
Let the distance of the balloon from the ground = h ft
Now, According to the question,
We can write,
Answer:
x = 9
Step-by-step explanation:
<em>Theorem:</em>
<em>The measure of an exterior angle of triangle equals the sum of the measures of its two remote interior angles.</em>
The angle measuring 12x + 14 is an exterior angle of the triangle.
The angles measuring 76 deg and 1 + 5x are its remote interior angles.
12x + 14 = 1 + 5x + 76
12x + 14 = 5x + 77
7x = 63
x = 9
2x+57+61=180
2x+118=180
2x=62
X=31