jugoslav

Semiperimeter =>     s = 1/2(13+15+14)

Area of Δ ABC =>     A = sqrt[ s(s-13)(s-15)(s-14)]

Inradius =>               r = A / s

[AEIF] = A - (r * BC) = 28 square units

Volume = 9815.233048 cubic inches

sqrt[17² - (x/2)²] = sqrt[27² - (1.5x)²]

x = 2√55           BD = 2x

AF = sqrt[17² - (x/2)²]

[ABD] = 1/2(AF * BD)

Jaz, Kumar, and Farah shared the cost of a laptop. Jaz paid 1/4 of the total share of Kumar and Farah. Kumar paid 1/2 of the total cost of the laptop. Farah paid $186 more than Jaz. How much did the laptop cost?

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J   => is Jaz's share

J + 186   => is Farah's share

J + (J + 186)  => is Kumar's share

J = 1/4[(J + 186) + (2J + 186)]

J = 372

The cost of the laptop = $ 1860 

ABCD is a trapezoid with bases AB and DC. We know that angle C equals 60 and angle D=45. If AB=5-2sqrt3 and BC=8, what is DC?

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AB = 5 - 2√3

DC = 8(cos30º) + (5 - 2√3) + 8(sin30º) 

Andy and Jimmy collected 370 toy cars altogether. 1/4 of Andy's toy cars was 25 more than 1/5 of Jimmy's toy cars. How many toy cars did Andy collect than Jimmy?

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A + J = 370

4(25 + J/5) + J = 370

J = 150

I'll let you figure out the rest. 

w(2w + 1) = 36

w = 4

I'll let you find the length 

"Pie-O-Mania" bakery bakes pies. They bake 3/4 as many apple pies as banana pies and 5/9 as many cranberry pies as apple pies daily. Given that the bakery bakes 63 more banana pies than cranberry pies daily, how many apple pies does the bakery bake daily?

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Apple pies => A            Banana pies => B             Cranberry pies => C

A = 3x/4                         B = x                                 C = 5(3x/4)/9

B - C = 63 

x - 5(3x/4)/9 = 108         (number of banana pies)

Apple pies      3x/4 = 81

Banana pies     x = 108

Cranberry pies       5(3x/4)/9 = 45

The ratio is 9 / 4√3

Angle ACB = 50 degrees

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Angle ABC = 40 degrees

(Angle BAC = 90 degrees)