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3 years ago

In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

1 answer:

6 0

In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15

By the Pythagorean theorem
the longer leg = √(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units

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Solve by completing the square ( need it asap pls) x2+18x+81=-4 -don’t send link-

Sholpan [36]

Answer:

x=2.17

Step-by-step explanation:

$x^2$ +18x+81=-4

-81 -81

$x^2$ +18x= -85

/18 /18

$x^2$ = -4.7

$\sqrt{x^2}$ = $\sqrt{-4.7}$

x= 2.17

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3 years ago

The perimeter of a rectangular swimming pool is 154m.Its length is 2m more than twice its breadth. What are the length and bread

TiliK225 [7]

$P = 154\\a = 2b + 2$

a = ?; b = ?

$P = 2(a + b) = 2(2b + 2 + b) = 2(3b + 2) = 6b + 4$

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$a = 2b + 2 = 2 * 25 + 2 = 50 + 2 = 52$

Answer: 25 and 52 m.

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Luda [366]

multiply 35 by tan(42)

this equals 31.5141

rounded to 31.51

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