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mart [117]
3 years ago
9

Determine if the given sides are a triangle or not A. 21 cm, 7 cm, 6 cm

Mathematics
1 answer:
fgiga [73]3 years ago
4 0

Answer:

This is not a triangle

Step-by-step explanation:

If you use the triangle inequality theorem you can reach your answer.

The theorem states that if you add the length of any 2 sides together, you will have a length greater than the length of the other side. Using this method we can easily see that 7+6=13 which is less than 21. Meaning this is not a triangle

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The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original
evablogger [386]

<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>

{:\implies \quad \sf 5(s+8)=65}

{:\implies \quad \sf 5s+5\times 8=65}

{:\implies \quad \sf 5s+40=65}

{:\implies \quad \sf 5s=65-40}

{:\implies \quad \sf 5s=25}

{:\implies \quad \sf s=\dfrac{25}{5}=5}

{:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}

As we assumed the original side to be <em><u>s</u></em> .

<em>Hence, the original side's length 5 inches </em>

8 0
2 years ago
What is the equation of a line that passes through (6,3) and has a slope of -2/3
goldenfox [79]

Answer:

y=mx+b = 3y=6x+-2/3

Step-by-step explanation:

hope this is better

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Answer:

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Step-by-step explanation:

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lilavasa [31]

Answer:

100 in^2

Step-by-step explanation:

(15/21)^2 x 196 = 100

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3 years ago
Completely factor each of the given polynomials. If a polynomial cannot be factored, write "not factorable."
Art [367]
4x^2+23x+15=0
Δ=23^2-4*4*15=529-240=289

x1= (-23+17)/8=-6/8= -3/4
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4x^2+23x+15= 4(x+3/4)(x+5)=(4x+3)(x+5)
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3 years ago
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