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fiasKO [112]
3 years ago
8

The shorter leg of a 30°-60°-90° triangle is 4. How long is the hypotenuse?

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

For a triangle 30-60-90,

If shorter leg is x, then hypotenuse is 2x.

So, if shorter leg is 4,

then hypotenuse is 2*4 = 8.

Answer is 8.

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a line passes through point (-2,5) and has a slope of 2/3 points a (x,3) and b ( -2, y) lie on the line what is the value of y a
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Answer:

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Step-by-step explanation:

Given as :

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Equation of line is written as

y - y_1 = m × (x - x_1)

Since line passes through line ( - 2 , 5 ) and have slope \frac{2}{3}

So, y - 5 =   \frac{2}{3}  × (x + 2)

Or, 3 × ( y - 5 ) = 2 × ( x + 2 )

Or, 3 y - 15 = 2 x + 4

Or, 3 y - 2 x - 19 = 0 is the equation of line

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or, 9 - 2 x - 19 = 0

or, 2 x = - 10

∴  x = - \frac{10}{2}

I.e x = - 5

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Or,  3 × y + 4 -19 = 0

or, 3 y = 15

∴  y = \frac{15}{3}

I.e y = 5

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Step-by-step explanation:

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