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Sidana [21]
3 years ago
13

Hi again! I need help with another question. "What is a possible third side to a triangle with side lengths of 14 and 5?

Mathematics
2 answers:
Svet_ta [14]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Remember that the sum of any 2 sides of a triangle always must be greater than the length of the third side.

A. 9 + 5 = 14  so NO

B. 8 + 5 = 13 which is less than 14 so NO

C. 5 + 5 = 10 which is less than 14 so NO

D. 12 + 5 = 16 which is greater than 14.

12 + 5 > 14

14 + 12 > 5

5 + 14 > 12

It works for all 3. That means the answer is D.

Andre45 [30]3 years ago
4 0
Man y’all ain’t dum get off the app and learn how to do it
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A retangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 180 yards, what are its di
pishuonlain [190]
W= width
l= 2w= length

Perimeter of a Rectangle Formula
P= 2(l + w)
substitute 2w for l in equation

180= 2(2w + w)
multiply 2 by parentheses

180= 4w + 2w
combine like terms

180= 6w
divide both sides by 6

30 yards= w


LENGTH
2w= 2(30)= 60 yards

CHECK:
180= 30 + 60 + 30 + 60
180= 90 + 90
180= 180


ANSWER: the width is 30 yards and the length is 60 yards

Hope this helps! :)
5 0
3 years ago
1. Mandy kept track of the trade-in value of a collector’s coin for several months through February of this year. She determined
Marina CMI [18]
44 = 4x + 12 32 = 4x X = 8 months after February = October of the same year. That's choice (b).
5 0
3 years ago
A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and
Dennis_Churaev [7]

Step-by-step explanation:

=>>. Hello mate. (◕ᴗ◕✿)

= Given :-

perimeter of traingle = <u>5</u><u>8</u><u> </u>feet

  • <u> </u><u>let </u><u>the </u><u>third</u><u> </u><u>side </u><u>be</u><u>. </u><u> </u><u> </u><u> </u><u>"</u><u>X"</u><u> </u><u>feet</u>

  • <u> </u><u> </u><u> </u><u> </u><u> </u><u>longest</u><u> </u><u>side </u><u>=</u><u> </u><u>(</u><u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>8</u><u>)</u><u> </u><u>feet</u>

  • <u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>shorter</u><u> </u><u>side </u><u>=</u><u> </u><u>(</u><u>x </u><u>+</u><u> </u><u>2</u><u>)</u><u> </u>feet

Perimeter of traingle = sum of all three sides

=> A/q. ,

<u>(</u><u> </u><u>x </u><u>)</u><u> </u><u>+</u><u> </u><u>(</u><u> </u><u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>8</u><u> </u><u>)</u><u> </u><u>+</u><u> </u><u>(</u><u> </u><u>x </u><u>+</u><u> </u><u>2</u><u>)</u><u> </u><u>=</u><u> </u><u>5</u><u>8</u><u>. </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>✓</u><u>✓</u><u>✓</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x + 2x - 8 + x + 2 = 58

=>. <u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>6</u><u> </u><u>=</u><u> </u><u>5</u><u>8</u>

=> 4x = 58 + 6

=> 4x = 64

<u>=</u><u>></u><u>. </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>x </u><u>=</u><u> </u><u>6</u><u>4</u><u>/</u><u>4</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>=</u><u>|</u><u>. </u><u> </u><u> </u><u> </u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>6</u><u> </u>feet

  • length of third side = 16 feet

  • length of shorter side = 18 feet

  • length of longest side = 24 feet

<u> </u><u> </u><u> </u><em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u> you</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

5 0
3 years ago
Plz plz help urgently ❤️
Musya8 [376]

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Angles in a triangle add up to 180°

Since it's a right angled triangle one of it's angles is 90°

So for angle F we have

F + 25 + 90 = 180

F = 180 - 115

<h3>F = 65°</h3>

To find GH we use tan

tan 25 = FG / GH

FG = 7m

tan 25 = 7 / GH

GH = 7 / tan 25

<h3>GH = 15.0 m</h3>

To find FH we use sine

sin 25 = FG / FH

sin 25 = 7 / FH

FH = 7/sin 25

<h3>FH = 16.6 m</h3>

Hope this helps you

4 0
3 years ago
A packing company is doing an inventory of boxes. Their most popular box is display below: 2ft,(3x-5)ft,(2x-1)ft you can use the
Angelina_Jolie [31]

Answer:

The value of x  = 3.

Length = 4 feet and Width = 5 feet

Step-by-step explanation:

Height of the box = 2 ft

Length of the box = (3x-5) ft

Width of the box  = (2x-1) ft

Volume of the box = 40 cubic feet

Now, VOLUME OF CUBE  = LENGTH x WIDTH x HEIGHT

\implies 40 = 2 \times (3x-5) \times (2x-1)\\\implies 20 = 3x(2x-1)) -5 (2x-1) = 6x^2 - 3x -10x +5  = 6x^2 - 13x + 5\\\implies  6x^2 - 13x -15 = 0

Now, solving for the value of x, we get:

6x^2 -13 x - 15  = 6x^2 -18x + 5x - 15 = 0\\\implies6x(x-3) + 5(x-3) = 0\\\implies (x-3)(6x+5) = 0

⇒ Either x-3 = 0, or ( 6x+5) = 0

⇒ Either x  = 3, or x = -5/6

As x = SIDE OF A CUBE ,so it CANNOT be negative.

⇒x  = 3

So, length = (3x-5)  = 3(3) -5 = 9-5 = 4 units

Width = (2x-1) = 2(3) -1  = 5 units

7 0
3 years ago
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