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sertanlavr [38]
3 years ago
12

Please explain this to me.

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

  • The value of x is 12 units.

Step-by-step explanation:

<u>We know that:</u>

  • Formula: h² = a² + b²

<u>Let's solve using Pythagoras theorem.</u>

  • => 13² = 5² + x²
  • => 169 = 25 + x²
  • => 169 - 25 = x²
  • => 144 = x²
  • => √x² = √144
  • => x = √144
  • => x = 12

Hence, the value of x is 12 units.

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A certain kind of animal weighs about 75 pounds at birth and gains about 2 pounds per day for the first few weeks. Determine tho
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<h3>Answer:</h3>

25

<h3>Step-by-step explanation:</h3>

Let w represent the weight of the animal in pounds, and d the age in days. The problem statement tells us ...

... w = 75 +2d

We want to find d when w > 125.

... 75 +2d > 125 . . . . . substitute the above expression for w

... 2d > 50 . . . . . . . . . subtract 75

... d > 25 . . . . . . . . . . . divide by 2

The animal will weigh more than 125 pounds when it is more than 25 days old.

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3 years ago
The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotation
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A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the pr
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Answer:  The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

Step-by-step explanation:  Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.

Let S be the sample space for the experiment of pulling a marble.

Then, n(S) = 12 + 8 + 5 = 25.

Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.

The, n(E) = 12, n(F) = 8  and  n(G) = 5.

Therefore, the probabilities of each of these three events E, F and G will be

P(E)=\dfrac{n(E)}{n(S)}=\dfrac{12}{25}=\dfrac{12}{25}\times100\%=48\%,\\\\\\P(F)=\dfrac{n(F)}{n(S)}=\dfrac{8}{25}=\dfrac{8}{25}\times100\%=32\%,\\\\\\P(G)=\dfrac{n(G)}{n(S)}=\dfrac{5}{25}=\dfrac{5}{25}\times100\%=20\%.

Now, the probability of pulling three green marbles out with replacement is given by

P(G)\times P(G)\times P(G)=\dfrac{5}{25}\times\dfrac{5}{25}\times \dfrac{5}{25}=\dfrac{1}{125}=\dfrac{1}{125}\times100\%=0.8\%.

Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

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3 years ago
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Answer:

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n = 13

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