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faust18 [17]
3 years ago
7

Could someone please explain/help me to do this using Pythagoras theorem?

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

\boxed{478.02}

Step-by-step explanation:

→ First understand what Pythagoras theorem is

Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.

→ State the formula and identify the letters

a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out

→ Substitute in the values into the formula

380² + 290² = c²

⇒ Simplify

144400 + 84100 = c²

⇒ Collect the numbers together

228500 = c²

⇒ Square root both sides to find 'c'

478.0167361 = c

→ The length of the diagonal is 478.02

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Al, Pablo, and Marsha shared the driving on a 1,500-mile trip. Which of the three drove the greatest distance on the trip?(1) Al
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Answer:

Pablo drove the greatest distance of 527 miles.

Missing Content:

Since information on Pablo is not given, it is impossible to solve this problem. Let us assume some scenario for Pablo. Say:

(3)Pablo averaged 52.7 miles per hour and drove for 10 hours.

Step-by-step explanation:

Using this information, we can find out the data on Al,

Al drove 1 hour longer than Pablo so,

Time Al drove= 10+1 =11 hours

Average rate of Al=Pablo's average rate-5= 52.7-5 = 47.7 miles per hour.

We know that,

Average Speed = \frac{Distance}{Time}

Distance =Average Speed x Time

Distance travelled by Al = 47.7 x 11 =524.7 miles

Distance Travelled by Marsha = 50 x 9=450 miles

Distance Travelled by Pablo= 52.7 x 10= 527 miles

<u>As we can see that Pablo drove the greatest distance which is 527 miles.</u>

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3 years ago
At breakfast, restaurant charges $2 for the first cup of orange juice and then $1 for each refill which graph represents this si
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Solve the following system of equations. <br><br> 18x+6y=3018x+6y=30<br> 18x+22y=1418x+22y=14
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Answer:

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Step-by-step explanation:

<u>Given system</u>

  • 18x+6y=30  
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<u>Solve by elimination, subtract the equations and solve for y:</u>

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<u>Find x by substituting y:</u>

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<u>The answer is</u>: (2, -1)

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