(3 hours) / (8 friends) = <em>3/8</em> hour per friend
Answer:
C
Step-by-step explanation:
The sum of the angles is 90
2x + x = 90
3x = 90
x = 30
the angle ABC is 2x, so it means that is the double of x, so it is 60 degrees
The region is made up of
• a right triangle with short leg 10 m and hypotenuse 26 m
• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)
• another triangle with two known legs of length 20 m and 26 m
Find the height of the right triangle using the Pythagorean theorem. If the height is h, then
(10 m)² + h² = (26 m)² ⇒ h² = 576 m² ⇒ h = 24 m
This height is common to all three shapes.
Now find the area of each shape.
• right triangle:
1/2 × (10 m) × (24 m) = 120 m²
• parallelogram:
(40 m) × (24 m) = 960 m²
• other triangle:
• 1/2 × (20 m) × (24 m) = 240 m²
Then the total area of the shaded region is 1320 m².
The distance between them is 252 miles
For meeting they reduce the distance with 252 miles
in an hour they reduce distance with 100+80=180 miles
180 miles...........1 hour
252 miles.............x hours
------------------------------------
x=252 /180=1,4 hours=84 minutes
Rectangle:
2x+2x+2x+7+2x+7
8x+14
Hexagon:
2x+2x+x+x+x+8+x+6
8x+14
They’re equal