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victus00 [196]
3 years ago
13

He measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. what is the measure of the smallest angle?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0
In a triangle, the three interior angles always add to 180°

4x + 5x + 6x = 180
15x = 180
x = 180/15
x = 12

<span>the measure of the smallest angle</span><span> = 4x = 4*12 = 48</span>°
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the length of each side of a square is 3 in. more than the length of each side of a smaller square. the sum of the areas is 45 i
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Step-by-step explanation:

3 0
3 years ago
A rectangular prism has a length that is 3 inches shorter than the height and a width that is 5 inches longer than the height. F
LUCKY_DIMON [66]

An equation for the volume of the prism as a function of the height is Volume = h³ + 2h² - 15h.

  • We are given a rectangular prism.
  • A rectangular prism is no different than a cuboid.
  • Let the height of the rectangular prism be "h".
  • The length of the rectangular prism is "h-3".
  • The width of the rectangular prism is "h+5".
  • The volume of the rectangular prism is the same as that of the cuboid.
  • The volume of the rectangular prism is the product of its length, its width, and its height.
  • The volume of the rectangular prism is (h - 3)*(h + 5)*h.
  • An equation for the volume of the prism as a function of the height is :
  • Volume = (h - 3)*(h + 5)*h
  • Volume = (h² + 2h - 15)*h
  • Volume = h³ + 2h² - 15h

To learn more about prism, visit :

brainly.com/question/12649592

#SPJ1

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