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Anna35 [415]
3 years ago
9

The Measure of the largest angle of a triangle is 40° more than the measures of the smallest angle, and the measures of the rema

ining angle is 20° more than the measure of the smallest angle. Find the measure of each angle.​
Mathematics
2 answers:
gtnhenbr [62]3 years ago
6 0

Answer:

40, 60 and 80 degrees.

Step-by-step explanation:

Let the smallest angle be x degrees. Then:

The 3 angles are x, x + 40 and x + 20.

As there are 180 degrees in a triangle:

x + x + 40 + x + 20 = 180

3x = 180 -40--20 = 120

x = 40 degrees.

The other 2 angles are  60 and 80 degrees.

algol [13]3 years ago
5 0

A = x + 40°, B = x, C = x + 20°

(x + 40°) + x + (x + 20°) = 180°

3x + 60° = 180°

3x = 180° - 60°

3x = 120°

x = 40°

B = 40°

A = 40° + 40° = 80°

C = 40° + 20° = 60°

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The complete question is
<span>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) </span>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
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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?
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the answer Part D) is 18*pi cm³ (56.52 cm³)

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3 years ago
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Decimal number are numbers that has decimal points. Given the following information;

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Answer:

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