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Daniel [21]
3 years ago
11

The hypotenuse of a right triangle measures 20cm. The sum of the lengths of the other two sides is 28cm. Find the lengths of tho

se two sides.
Mathematics
1 answer:
scoray [572]3 years ago
3 0

Step-by-step explanation:

<h3>Here, </h3><h3>h = 20cm</h3><h3 /><h3>By question, </h3><h3>p + b = 28cm</h3><h3>or, p = 28 - b</h3><h3 /><h3>Using pythagoras theorem, </h3>

<h3>h^2 =p^2 + b^2</h3><h3>20^2 = (28-b) ^2 + b^2</h3><h3>400 = 28^2 -2x28xb + b^2 + b^2</h3><h3>56b = 784 - 400 + 2 b^2</h3><h3>0 = 2b^2 - 56b + 384 </h3><h3>0 = 2 ( b^2 - 28b + 192)</h3><h3>0 = b^2 - (16 + 12) b + 192</h3><h3>0 = b^2 - 16b - 12b + 192</h3><h3>0 = b (b - 16) - 12 (b - 16)</h3><h3>0 = (b - 16) (b - 12)</h3><h3>Either, </h3><h3>b= 16</h3><h3>Or,</h3><h3>b = 12</h3>

<h3>When b = 16,</h3><h3>p = 28 - 16 </h3><h3> = 12</h3><h3>When b = 12,</h3><h3>p = 28 - 12</h3><h3> = 16</h3>
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Answer:

x = - 4

Step-by-step explanation:

x = 19 is a vertical line parallel to the y- axis

A line parallel to it has the equation

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (- 4, 7 ) with x- coordinate - 4 , then

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6 0
3 years ago
Through(-2,-3); parallel to 3x+2y=5
Vilka [71]

Step-by-step explanation:

Hey there!

<u>Firstly </u><u>find </u><u>slope </u><u>of</u><u> the</u><u> </u><u>given</u><u> equation</u><u>.</u>

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Now;

slope(m1) =   \frac{ - coeff. \: of \: x}{coeff. \: of \: y}

or \: m1 =  \frac{ - 3}{2}

Therefore, slope (m1) = -3/2.

As per the condition of parallel lines,

Slope of the 1st eqaution (m1) = Slope of the 2nd eqaution (m2) = -3/2.

The point is; (-2,-3). From the above solution we know that the slope is (-3/2). So, the eqaution of a line which passes through the point (-2,-3) is;

(y-y1) = m2 (x-x1)

~ Keep all values.

(y + 3) =  \frac{ -  3}{2} (x + 2)

~ Simplify it.

2(y + 3)  = - 3x - 6

2y + 6 =  - 3x - 6

3x  + 2y + 12 = 0

Therefore, the eqaution of the line which passes through the point (-2,-3) and parallel to 3x + 2y= 5 is 3x + 2y +12 =0.

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

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Answer: 57.4

Step-by-step explanation:

First order the numbers from the smallest to the largest:

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to:

43.2, 43.4, 47.9, 49.2, 49.6, 49.7, 50.1, 50.7, 51.2, 53.9, 55.1, 57.4, 58.8, 60.7, 61.1.

The position of third quartile is:

= (N + 1) * 3/4

= (15 + 1) * 3/4

= 12th position

That number is:

= 57.4

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