Answer:
1) 2 hours
2) 96 miles
Step-by-step explanation:
1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.
<u>Elliot:</u>
Distance = 8 miles
Speed = x mph
Time
hours
<u>William:</u>
Distance = 12 miles
Speed = x mph
Time
hours
It took Eliot
less than William, then
![\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7Bx%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D-%5Cdfrac%7B8%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B4%7D%7Bx%7D%5C%5C%20%5C%5C2x%3D3%5Ccdot%204%5C%20%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C2x%3D12%5C%5C%20%5C%5Cx%3D6%5C%20mph)
So, William's hike was

hours long.
2) <u>Initially:</u>
Distance = 120 miles
Speed = 55 mph
Time
hours
<u>Final:</u>
Speed = 44 mph
Time
hours
Distance 
Answer:
base = 519.62, height = 173.21 m
Step-by-step explanation:
Let the base and height of the triangle be represented by b and h respectively.
Thus,
b = 3h
Area of a triangle =
x base x height
For the given triangle,
area =
x b x 3h
=
bh
Area of the triangle =
bh
To determine the number of hectares,
36 per hectare = 486
hectare = 
= 13.5
numbers of hectares = 13.5
Area of the hectares = number of hectares x 10 000 m²
= 13.5 x 10 000
= 135000
Total area of the hectares = 135 000 m²
So that,
area of the hectares = area of the triangle
area of the triangle =
bh
135 000 =
bh
270000 = 3bh
bh = 
= 90000
bh = 90000
But, b = 3h
3h x h = 90000
3
= 90000
= 
= 30000
h = 
= 173.2051
h = 173.21 m
So that,
b = 3 x 173.2051
= 519.6153
b = 519.62
Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.
Complementary angles add up to 90°. The complement of a 27° angle is 90°-27°= 63°.
Supplementary angles add up to 180°. The supplement of a 27° angle is 180°-27°=153°