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UNO [17]
2 years ago
8

Work out the length of x

Mathematics
2 answers:
Ierofanga [76]2 years ago
6 0

Answer:

11.2 mm

Explanation:

Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²

Insert Values:

x² + 3.8² = 11.8²

x² + 14.44 = 139.24

x² = 139.24 - 14.44   (subtract)

x² = 124.8

x = √124.8              (square root)

x = 11.1714 ≈ 11.2     (rounded to 3 significant figures)

MakcuM [25]2 years ago
5 0
<h3>given:</h3>

3.8 mm

11.8 mm

<h3>to find:</h3>

the unknown "x"

<h3>solution:</h3>

we'll have to use pythagoras theorem.

unknown value is x

{c}^{2}  =  {b}^{2}  -  {a}^{2}

{x}^{2}  =  {11.8}^{2}  -  {3.8}^{2}

{x}^{2}  = 124.8

{x}^{2}  =  \sqrt{124.8}

x = 11.17139204

x = 11.2 \: mm

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3 years ago
Write these fractions in least common denominator2/5x+15y 1/2x+6y
Over [174]
Look at deonomators

assuming that the deonomenators are 5x+15y and 2x+6y

find their LCM
factor

5x+15y=5(x+3y)

2x+6y=2(x+3y)

LCM=10(x+3y)=10x+30y

multiply 2/(5x+15y) by 2/2=4/(10x+30y)
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if we add them
9/(10x+30y)
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3 years ago
What is a conversion factor that you can use to convert gallon to pints how did you find
ludmilkaskok [199]

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8 0
3 years ago
Explain how you would find the sum of 46+7
Darya [45]

Answer: Method of finding the sum of 46 and 7 is mentioned in below explanation.

Step-by-step explanation:

According to the question, we have to find out 46+7

First, we need to add 6 and 7 by that we get the result 13.

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And, we need to add 1 in 4, that is 5 by that we get the tenth place digit of our result. which is 5.

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8 0
3 years ago
Read 2 more answers
Diego wants to find 4 1/5 - 7/10 .. Explain why he must rename 4 1/5 in order to do the subtraction?
nevsk [136]

Answer:

<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>

Step-by-step explanation:

These are the steps Diego should follow to find 4 1/5 - 7/10:

Step 1: Convert all mixed numbers into improper fractions.

4 1/5 = 21/5 - 7/10

Step 2: Find a common denominator between the improper fractions. When necessary, create equivalent fractions.

21/5 = 42/10 - 7/10

Step 3: Add or subtract the numerators and keep the denominator the same.

42 - 7 = 35/10

Step 4: If the answer is an improper form, reduce the fraction into a mixed number.

35/10 = 3 5/10 = 3 1/2

<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>

4 0
3 years ago
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