The barn, the ground, and the ladder form a right triangle. If we represent the height on the barn by y, then the Pythagorean theorem tells us
... hypotenuse² = (side1)² + (side2)²
... (12 ft)² = (3 ft)² + y² . . . . . . . . . . . . fill in given information
... 144 ft² - 9 ft² = y² = 135 ft² . . . . . .subtract (3 ft)²
... y = 3√15 ft ≈ 11.6 ft . . . . . . . . . . . take the square root
The ladder reaches 11.6 feet high on the barn.
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The entire race took Henry 1hr:36min which is 96min. He has an average speed of 30km/hr means he's been traveling 0.5km/min
30km/hr > 30km/1hr >
30km/60min = 0.5km/min
since Henry took 96min to finish the race we multiply 0.5km/min with 96
0.5km/min*96min=48km
Answer:
98.8 cm²
Step-by-step explanation:
Hi there!
where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)
<u>1) Find the perimeter</u>
where l is the side length
Plug in the side length 7.6 cm

Therefore, the perimeter of the pentagon is 38 cm.
<u>2) Find the area</u>
Plug in the perimeter (38) and the apothem (5.2)

Therefore, the area of the pentagon is 98.8 cm².
I hope this helps!