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Kruka [31]
3 years ago
7

A right-angled triangle has one side of length 1.5 cm. Its hypotenuse is 6 cm. How long is its other side?

Mathematics
2 answers:
irga5000 [103]3 years ago
7 0

Answer:

Step-by-step explanation:

pythagorean theorem. a^2+b^2=c^2

1.5^2+b^2=6^2

2.25+b^2=12

12-2.25=b^2

b^2=9.75

take the square root

b=3.12

Yuki888 [10]3 years ago
3 0
Answer: b = 5.809

Explanation:

Use Pythagorean’s Theorem

a^2 + b^2 = c^2 => b^2 = c^2 - a^2

b^2 = 6^2 - 1.5^2
b^2 = 36 - 2.25
b^2 = 33.75
b = sqrt(33.75)
b = 5.809


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A coin is tossed and a single 6 sided number cube is rolled. Find the probability of landing on the heads side of the coin and r
Delicious77 [7]

Answer:

The probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.

Step-by-step explanation:

Given:

Coin is tossed and a single 6 sided number cube is rolled.

Let the event of tossing head be 'H' and event of rolling a 3 be 'R3'.

Now, we know that:

Probability of an event 'A' = Favorable outcomes of 'A' ÷ Total possible outcomes

Now, for tossing a coin, the total possible outcomes are head and tail. So, there are 2 possible outcomes.

So, probability of event 'H' is given as:

P(H)=\dfrac{n(H)}{n(S)}\\\\P(H)=\frac{1}{2}=0.5

Similarly, for rolling a 6 sided cube, the possible outcomes are numbers 1 to 6. So, the number of possible outcomes is, n(S)=6

Now, probability of rolling a 3 is given as:

P(R3)=\frac{n(R3)}{n(S)}\\\\P(R3)=\frac{1}{6}

Now, both the events 'H' and 'R3' occur together. So, the combined probability is the product of two individual probabilities as they are independent events. So,

P(H\ and\ R3)=P(H)\times P(R3)\\\\P(H\ and\ R3)=\frac{1}{2}\times \frac{1}{6}\\\\P(H\ and\ R3)=\frac{1}{12}=0.083

Note: Independent events are those events whose intersection is an empty set of events or the outcome of one event doesn't affect the outcome of the other event.

Therefore, the probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.

4 0
3 years ago
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Answer:you should multiply

Step-by-step explanation:

Because 3/4x12=9

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3 years ago
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Kisachek [45]

Answer: m=w/2-1/4

Step-by-step explanation: In the picture

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kherson [118]
151.54 is the answer
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