Answer:
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Given: PSTK is a trapezoid, m∠P=90° SK =13, PK = 12, ST=8 Find: The area of PSTK.
1 answer:
<h3>Given</h3>
trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8
<h3>Find</h3>the area of PSTK
<h3>Solution</h3>It helps to draw a diagram.
∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as
... KS² = PS² + KP²
... 13² = PS² + 12²
... PS = √(169 -144) = 5
This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is
... A = (1/2)(b1 +b2)h
... A = (1/2)(12 +8)·5
... A = 50
The area of trapezoid PSTK is 50 square units.
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The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
<h3>What is logarithmic regression?</h3>Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.
The data of the table for the day and height of the stalk of corn is listed below.
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Height (<em>y</em>) in 5 17 45 60
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For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,
Compare it with the following logarithmic regression equation, we get
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Step-by-step explanation:
