Find the hypotenuse (x) of the right triangle.

Mathematics

1 answer:

Advocard [28]2 years ago

8 0

Step-by-step explanation:

Hypotenuse = sqrt[(7)² + (11)²] = sqrt170 = 13m.

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An iron bar 468 3/4 inches long is to be cut into 6 1/4 inch sections. How many sections of this length will there be?

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3 years ago

The police department uses a formula to determine the

laiz [17]

9514 1404 393

Answer:

78.71 mph

Step-by-step explanation:

You're looking for the solution to ...

d = 88

0.0015r^2 +r = 88

0.0015r^2 +r -88 = 0

Using the quadratic formula*, we find ...

r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)

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The speed of the car was about 78.71 mph.

_____

* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.

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2 years ago

Find the value of the six trig functions given the triangle below.

Y_Kistochka [10]

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$csc \theta = \dfrac{1}{\sin \theta} = \dfrac{\sqrt 5}2\\\\\\\sec \theta = \dfrac{1}{\cos \theta} = \sqrt 5 \\\\\\\cot \theta = \dfrac 1{\tan \theta} = \dfrac 12$