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2 years ago

Difficult Math. Up to the challenge?

Mathematics

1 answer:

saw5 [17]2 years ago

3 0

Answer:

We have the three angles of a triangle as an equation, so we can add them together, and they equal 180.

So:

4x+10+12x-6+3x+5= 19x+9=180

19x=171 ... so: x= 171/19 = 9.

So ABC = 102 .. Obtuse angle

BAC = 46 .. Acute angle

BCA = 32 .. Acute Angle

Edit:

Angle 1 = 180 - BAC = 180 - 46 = 134

Angle 2= 180 - ABC = 180 - 102 = 78

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2 years ago

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2 years ago

Standard deviation of 300, 785, 670, 187, 760, 724

White raven [17]

STEP 1

Mean = $\frac{300+785+670+187+760+724}{6} = \frac{3426}{6}=571$

STEP 2

Subtract the mean from each data value then square the answer
$300-571=-271$ ⇒ $(-271)^{2} =73441$
$785-571=214$ ⇒ $(214)^{2}=45796$
$670-571=99$ ⇒ $(99)^{2}=9801$
$187-571=-384$ ⇒ $(-384)^{2} =147456$
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$724-571=153$ ⇒ $153^{2} =23409$

STEP 3

Add the squared answers in STEP 2 then find the mean

$\frac{73441+45796+9801+147456+35721+23409}{6}= \frac{335624}{6}=55937.3$

STEP 4

Square root the answer in STEP 3
$\sqrt{55937.3} =236.5$

Standard deviation is 236.5

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3 years ago