The length of its diagonal in terms of r and s is √r² + s²
In order to get the length of the diagonal of a triangle, we will use the Pythagoras theorem:
Pythagoras theorem states that the sum of the square of the diagonal is equal to the sum of the square of the other two sides.
Given the following
Length = r feet
width = s feet
The diagonal "l" will be expressed as;
l² = r² + s²
Take the square root of both sides
√l² = √r² + s²
l = √r² + s²
Hence the length of its diagonal in terms of r and s is √r² + s²
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If you convert 62 kilograms to lbs it will give you 136.687 lbs
Points are (T,S) = (time, pounds), so you have (3.5, 605) and (10, 2100). Slope is (2100-605) / (10-3.5) = 1495/6.5 = 230. T is the independent variable (like x normally is in linear equations), so that narrows it down to choice A or choice D due to the slope. You can solve for b in y=mx+b or S = mT + b by plugging in one of the points: 2100 = 230(10) + b ===> b = -200. Therefore S = 230T - 200; S(12) = 230*12 - 200 = 2560 lbs [B]
<span>2) (a) Plug in 10 for x </span>
<span>(b) 10000 = 298.94x + 3215.48 </span>
<span>6784.52 = 298.94x </span>
<span>x = 6784.52/298.94 = 22.7 ===> in year 2023</span>