Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an
1 answer:
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Answer:
4 pitchers
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
step 1
Find the volume of the cylinder with height 9 inches and radius r
substitute the given values
step 2
Find the volume of the cylinder with height 9 inches and radius 2r
substitute the given values
step 3
we know that
The volume of the cylinder 1 can fill a certain pitcher,
so
The volume of the pitcher is the same that the volume of cylinder 1
therefore
the number of pitchers that can be filled by the second cylinder is equal to divide the volume of the second cylinder by the volume of the first cylinder
Answer:
The following Triangles are Right Triangles:
1. Δ ABC Where AB = 76 in, BC = 357 in, and AC = 365 in.
2. Δ MIT Where MI = 123 cm, IT = 836 cm, and MT = 845 cm.
3. Δ MEL Where ME = 20 ft, EL = 99 ft, and ML = 101 ft.
Step-by-step explanation:
For a Triangle to be a Right Triangle it must Satisfy Pythagoras theorem.
i.e.
For Δ ABC Where AB = 76 in, BC = 357 in, and AC = 365 in.
AC² = 365² = 133225
AB² + BC² = 76² + 357² = 1333225
∴ AC² = AB² + BC²
Hence Δ ABC a Right Triangle.
For Δ MIT Where MI = 123 cm, IT = 836 cm, and MT = 845 cm.
MT² = 845² = 71405
MI² + IT² = 123² + 836² = 714025
∴ MT² = MI² + IT²
Hence Δ MIT a Right Triangle.
For Δ MEL Where ME = 20 ft, EL = 99 ft, and ML = 101 ft.
ML² = 101² = 10201
ME² + EL² = 20² + 99² = 10201
∴ ML² = ME² + EL²
Hence Δ MEL a Right Triangle.