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pashok25 [27]
3 years ago
14

List the sides of each triangle in order from shortest to longest

Mathematics
2 answers:
lozanna [386]3 years ago
6 0

Answer:

  • MN, NO, MO

Step-by-step explanation:

<u>We know that:</u>

  • ∠M = 180 - (75 + 45) = 60°
  • ∠O = 45°
  • ∠N = 75°

To determine which is the largest side of a triangle look at the largest angle of the triangle. It's opposite side is the largest side.

  • => Largest side = MO
  • => Smallest side = MN
  • => Middle side = NO

In ascending order => MN, NO, MO

Hoped this helped!

lbvjy [14]3 years ago
3 0

Answer:

MN, NO, MO

Step-by-step explanation:

The larger the angle, the longer the side that is opposite to the angle. To find the missing angle add 75 and 45 to give you 120, then subtract that from 180 to get 60. Angle M equals 60 degrees. MN is the shortest since the angle opposite to it is 45 degrees. NO is the middle one since the angle opposite to it is 60 degrees. MO is the longest side since the angle opposite to it is 75 degrees.

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The owner of an orange grove estimates that if 24 trees are planted per acre, then each mature tree will yield 600 oranges per y
tia_tia [17]

Answer:

16428 oranges

Explanation:

Total yield = number of trees × number of oranges in each tree

Initial yield = 600×24= 14400 oranges

To find the equation needed, let x = additional trees and y= total yield

Number of trees = 24 +x

Number of oranges in each tree = 600-12x

Equation of total yield y= (24+x)(600-12x)

y= 14400-288x+600x-12x²

y= -12x²+312x+14400

Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a

A quadratic equation is such: ax²+bx+c

Therefore x =-312/2×-12

x= -312/-24

x= 13

So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:

24+x=24+13= 37 trees in total

y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400

=16428 oranges in total yield

8 0
3 years ago
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AveGali [126]
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3 0
3 years ago
What would be the expression after distributing, 4(x+7)?
umka2103 [35]

Answer:

4x+28

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Help me answer this thanks
Doss [256]

Answer:

c = 15 meters

Step-by-step explanation:

This is solveable using the Pythagorean Theorem,

let's say a = 9 and b = 12,

a^2 + b^2 = c^2, so

9^2 + 12^2 = 225 then,

sqrt(225) = 15, so c = 15 m

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3 years ago
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