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Fudgin [204]
3 years ago
6

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following

Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0

Answer:

1. 51

2. 8

3. √2 or 1.41

Step-by-step explanation:

using pythagorean theorem

kirza4 [7]3 years ago
5 0

Answer:

1) x = 51

2) x = 8

3) x = \sqrt{2} or approximately 1.4142

Step-by-step explanation:

These are simple Pythagorean theorem questions. Remember, the Pythagorean theorem states that a^2+b^2=c^2, where a and b represent the legs of the triangles, and c represents the hypotenuse, the side opposite to the 90 degree angle in the triangle. Now simply use the values of a, b, or c, depending on what is given, to solve for the missing side x.

In question 1, you have two legs with sides 45 and 24. Therefore use the Pythagorean theorem where a and b equal 45 and 24 respectively.

45^2+24^2 = x^22025+576 = x^22601 = x^2x = 51

So the answer to question 1 is 51. Repeat this process for the rest of the questions.

In question 2, we are given the hypotenuse and 1 leg, and are missing the other leg. So set your equation up like so, and then solve,

x^2+6^2=10^2x^2+36=100x^2=64x=8

So the answer to question 2 is 8. Now one last time for the 3 and final question. We are given two legs, and are missing the hypotenuse. So set your equation up similar to the first question.

1^2+1^2=x^21+1=x^22 = x^2x = \sqrt{2}

So the answer to question 3 is \sqrt{2}, or approximately 1.4142

Hope this helped

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In preperation for an easter egg hunt, 4 blue eggs are filled for every 7 green. How many green eggs will be filled if 100 blue
ivann1987 [24]

Answer:

1. Typed question: 175 green eggs

2. Attached: 22 tables

Step-by-step explanation:

For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.

4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.

Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}

Now let's solve for x:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}\\\\or\\\\\dfrac{4}{7}=\dfrac{100}{x}\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\\dfrac{4x}{4}=\dfrac{700}{4}\\\\x=175

For your attached problem:

You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.

175 ÷ 8 = 21.9 tables

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3 years ago
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