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STALIN [3.7K]
2 years ago
6

The length of one side of a triangle is 3 feet less than twice the length of its second side. The third side is 2/3 of the sum o

f the lengths of the first 3 sides. Find the length of all three sides if the perimeter is 6.5
Mathematics
1 answer:
kolbaska11 [484]2 years ago
5 0

Answer:

side 1: 1.6

side 2: 2.3

side 3: 2.6

Step-by-step explanation:

side 1: 2x - 3

side 2: x

side 3: 2/3(x + 2x - 3) = 2x-2

(2x - 3) + x + (2x - 2) = 6.5

5x - 5 = 6.5

5x = 11.5

x = 2.3

side 1: 1.6

side 2: 2.3

side 3: 2.6

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%2F7%7D%7B7%5Csqrt%7B10%7D%2F2%20%7D" id="TexFormula1" title="\frac{3/7}{7\sqrt{10}
VashaNatasha [74]

Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:

\dfrac{\dfrac37}{\dfrac{7\sqrt{10}}2}\times\dfrac{14}{14}=\dfrac{3\times2}{7\sqrt{10}\times7}=\dfrac6{49\sqrt{10}}

Rationalize the denominator by multiplying both numerator and denominator by √10:

\dfrac6{49\sqrt{10}}\times\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{6\sqrt{10}}{49(\sqrt{10})^2}=\dfrac{6\sqrt{10}}{49\times10}=\dfrac{6\sqrt{10}}{490}

Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

\dfrac{6\sqrt{10}}{490}=\dfrac{3\sqrt{10}}{245}}

8 0
2 years ago
Using the until circle, what is the exact value of tan 2pi/3
Klio2033 [76]
Tan 2 pi/3= (sin2pi/3)/(cos2pi/3)= (sqrt 3)/2 dividend by (-1/2)= - sqrt 3
7 0
3 years ago
Read 2 more answers
Beatrix ate 21 raisins. This represents 30% of the box of raisins. How many raisins were originally in the box?
leonid [27]
21/0.3= 70
there were 70 raisins in the box
8 0
3 years ago
Which equation is a point slope form equation for line AB ?
Jobisdone [24]

For this case we have that by definition, the equation of a line of the point-slope form is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}):It is a point through which the line passes

To find the slope, we need two points through which the line passes, observing the image we have:

(x_ {1}, y_ {1}): (1,6)\\(x_ {2}, y_ {2}): (5, -2)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-2-6} {5-1} = \frac {-8} {4} = -2

Thus, the equation is of the form:

y-y_ {0} = - 2 (x-x_ {0})

We choose a point:

(x_{0}, y_ {0}) :( 5, -2)

Finally, the equation is:

y - (- 2) = - 2 (x-5)\\y + 2 = -2 (x-5)

Answer:

y + 2 = -2 (x-5)

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3 years ago
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Answer:

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Step-by-step explanation:

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