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2 years ago

How do I work this out?

Mathematics

1 answer:

Irina-Kira [14]2 years ago

6 0

We can find the length of BC:

$(BC)^2+6^2=12^2\implies BC=6\sqrt3$

Then by the law of sines,

$\dfrac{\sin55^\circ}{BC}=\dfrac{\sin90^\circ}{CD}\iff CD=\dfrac{6\sqrt3}{\sin55^\circ}\approx12.7\,\mathrm{cm}$

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X over 3 is less then or equal to 5

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Answer:

x/3 ≤ 5

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1 year ago

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Find the missing angle..? x=?

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Answer:

x = 95°

Step-by-step explanation:

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Seven different names were put into a hat. A name chosen 100 times. And the name Michael is chosen 9 times. What is experimental

iris [78.8K]

Answer:

Experimental probability = 9 / 100

Theoretical probability = 1/7

Step-by-step explanation:

The experimental probability of an event is written as :

P = number of times event occur / total number of trials

Experimental probability is based on the outcome of an experiment that has taken place.

Theoretical probability is based on expected outcome of an event.

P = number of expected or required outcomes / total possible outcomes

Experimental probability of choosing the name Michael is :

Number of times Michael is chosen / number of trials

Experimental probability = 9 / 100 = 0.09

Theoretical probability of choosing michael:

Number of names in hat = 7

Number of names called Michael in hat = required outcome = 1

P = 1 / 7

If the number of names in hat was different from 7, then the theoretical probability will change.

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2 years ago

At an art exhibition there are 12 paintings of which 10 are original. A visitor selects a painting at random and before decides

Reika [66]

Answer:

a) 0.8333

b) 0.75

c) 0.8181 or 0.9090

Step-by-step explanation:

The probability the visitor selects an authentic painting is

10/12 = 0.8333

Since the opinion of the expert does not depend on your choice, the events are <em>independent</em>, so the probability that the expert says is authentic and it really is, is

0.8333*0.9 = 0.75

If the expert decides the painting is a copy and it is not, then there are 11 paintings of which 9 are authentic, so the probability the visitor selects a new original painting is

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If the expert decides the painting is a copy and it is, then there are 11 paintings of which 10 are authentic, so the probability the visitor selects a new original painting is

10/11= 0.9090

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2 years ago

Find the unknown side lengths in these right triangles.

ivolga24 [154]

Answer:

Triangle 1 - $\sqrt{29$ (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)

Triangle 2- i couldnt figure this one out- may not be true

Pythagorean Theorem is... C) true for all right triangles

Step-by-step explanation:

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2 years ago