Please help, would be greatful :)

Mathematics

1 answer:

Fiesta28 [93]3 years ago

7 0

Answer:

h is approximately equal to 13.4

Step-by-step explanation:

We can use the sine rule to solve this. We're told that the hypotenuse is 18 cm and we know that it's opposite a corner of 90 degrees. We also know that the corner opposite the side of length h has an angle of 48 degrees.

With that we can use the sine rule to solve for h:

$\frac{h}{sin(48)} = \frac{18}{sin(90)}\\\frac{h}{sin(48)} = \frac{18}{1}\\h = 18 sin(48)\\h \approx 13.4$

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At a factory that produces pistons for cars, Machine 1 produced 174 satisfactory pistons and 116 unsatisfactory pistons today. M

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Answer:

$0.7$ is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory

Step-by-step explanation:

The two events are independent of each other.

Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2

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Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 = $\frac{174}{174 +116} + \frac{20}{180 +20}$