A shape is rotated counterclockwise 110 degrees about the origin. What is another way to describe the rotation?

Mathematics

1 answer:

Kitty [74]2 years ago

6 0

At max a rotation can be equal to π or 180°

So if it's rotated 110° counterclockwise then it's equal to rotation of supplementary angle clockwise

Supplementary angle=180-110=70°

70° rotation clockwise

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Answer:

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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

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Answer:

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3 years ago

There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. th

amid [387]

The complete question is
There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. the amount of chocolate ice cream fills the rest of the cone. the dimensions of the sphere is 6cm and the cone is 12cm.

the figure is not drawn to scale

A. what is the volume, in cubic centimeters of the right circular cone ?show or explain how you got your answer.
B. the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
C. what is the total volume in cubic centimeters of all the ice creams?
D.the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?

we know that
the height of the cone is 12 cm
the diameter of a cone is 6 cm

Part A) what is the volume, in cubic centimeters of the right circular cone? show or explain how you got your answer.

we know that
the volume of a cone=(1/3)*pi*r²*h
r=6/2----> 3 cm
h=12 cm
The volume of a cone=(1/3)*pi*3²*12------> 36*pi cm³-------> 113.04 cm³

the answer part A) is 36*pi cm³ (113.04 cm³)

Part B) the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
volume of a sphere=(4/3)*pi*r³
r=3 cm
volume of a sphere=(4/3)*pi*3³-----> 36*pi cm³------> 113.04 cm³

the answer part B) is 36*pi cm³ (113.04 cm³)

Part C) what is the total volume in cubic centimeters of all the ice creams?
volume of the cone+volume of a hemisphere

36*pi+18*pi-----> 54*pi cm³-------> 169.56 cm³

the answer Part C) is 54*pi cm³ (169.56 cm³)

Part D) .the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?
volume of a cone-volume of a hemisphere
36*pi-18*pi-----> 18*pi cm³-----> 56.52 cm³

the answer Part D) is 18*pi cm³ (56.52 cm³)