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mote1985 [20]
3 years ago
13

A. How many non-degenerate scalene triangles with integer sides have a

Mathematics
2 answers:
nekit [7.7K]3 years ago
6 0
This all equal 136 I had it
Ierofanga [76]3 years ago
5 0

Answer:

Hello,

a)18

Step-by-step explanation:

p=27, int[p/2]=13\\\\\begin{array}{c|c|c|c|c}a&p-a&b&c\\---&---&---&---\\1&26&13&13\\2&25&12&13\\3&24&12&12\\4&23&10&13\\&&11&12\\5&22&9&13\\&&10&12\\&&11&11\\6&21&8&13\\&&9&12\\&&10&11\\7&20&7&13\\&&8&12\\&&9&11\\&&10&10\\8&19&8&11\\&&9&10\\9&18&9&9\\---&---&---&---\\\end{array}

number of triangle=18

b)

Side of the equilateral triangle =2

Height=√3 (using Pythagorean's theorem) (tr ACP)

Triangle ABJ has the same area as the triangle ABC

Uisng Thalès's theorem,

\dfrac{2-v}{2}=\dfrac{v}{\sqrt{3} }  \\\\\\v=\dfrac{2\sqrt{3} }{2+\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3}*(2-\sqrt{3}) }{1} } \\\\v=4\sqrt{3}-6\\\\v^2=84-48\sqrt{3} \\Area =a\sqrt{b}-c= \sqrt{3}  -(84-48\sqrt{3} )=49\sqrt{3} -84\approx{0,87049...}\\\\So:\\b=3\\a=49\\c=84\\\\a+b+c=3+49+84=136\\

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VERY EASY
Nookie1986 [14]

Answer:

1. b+15=27

2. 4*X=36

3. y-9=12

4. k/7=21

Step-by-step explanation:

sum means addition and product means to multiply and difference means subtraction and divided means to divide :)

5 0
2 years ago
Read 2 more answers
0 = -1/14 x^2 + 4x +5<br><br> I need to solve for x but I don't get it, PLEASE EXPLAIN AND HELP!!
MariettaO [177]
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5)      [now distribute]

0=x²-56x+70      [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:

x=<u>-b+/-√(b²-4ac)</u>
            2a
a=1, b=(-56), c=70

x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
                  2(1)
x= <u>56+/- √(3136-280)
</u>               2
<u />x=<u>56+/-√(2856)</u>
             2
x=<u>56+/-√(2³·3·119)</u>
               2

x=<u>56+/-2√(714)</u>
             2

x=28+√714; x=28-√714



5 0
3 years ago
What is the solution to the inequality 2 + 5x &gt; 12?
Alexxx [7]
Im not in expert at this but i did the best i could im 80% sure this is the anser if not im sorry    x > 30 
6 0
3 years ago
Read 2 more answers
Please help in all :)
storchak [24]
1.object pronoun
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7 0
3 years ago
PLEASE HELP me I am struggling.
mihalych1998 [28]

Answer:

ab - b^2

Step-by-step explanation:

The area of the large rectangle is

A = a*b

The area of the unshaded region is

A = b*b

The area of the shaded region is the large rectangle minus the unshaded region

ab - b*b

or

ab - b^2

3 0
3 years ago
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