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3 years ago

I understand sum I just need more help

Mathematics

1 answer:

melamori03 [73]3 years ago

8 0

Answer:

Step-by-step explanation:

The Pythagorean theorem is expressed as

Hypotenuse² = opposite side² + adjacent side²

If the distances of the routes given are Pythagorean triples, then they obey the Pythagorean theorem hence, they would form a right angle triangle.

1) for the bus routes between stop A, B and C,

13² = 12² + 5²

169 = 144 + 25 = 169

A Pythagorean triple is formed hence, stop A, B and C form a right angle triangle.

2) for the bus routes between stop C, E and E,

22² = 14² + 18²

484 = 196 + 324 = 520

A Pythagorean triple is not formed hence, stop C, E and E do not form a right angle triangle.

3) 25² = 9² + HJ²

625 = 81 + HJ²

HJ² = 625 - 81 = 544

HJ = √544 = 23.32

4) EG² = 15² + 8²

EG² = 225 + 64

EG² = 289

EG = √289 = 17

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3 years ago

Read 2 more answers

Tom has three times as many pencils as pens but has a total of 100 writing utensils. How many pencils does Tom have? How many pe

Genrish500 [490]

Answer:

There are 75 pencils and 25 pens.

Step-by-step explanation:

If Tom has three times as many pencils than pens then,

Pencils = 3(Pens)

If there are a total of 100 writing utensils then,

Pencils + Pens = 100

Substitute the word "pencils" in this equation to 3(Pens),

3(Pens) + Pens = 100

Now remember there is almost a 'hidden' one beside the word "Pens" so,

3Pens + 1Pens = 100

Add the two together,

4Pens = 100

Divide,

Pens = 25

Substitute 25 into the first equation,

Pencils = 3(25)

Pencils = 75

Thus, there are 75 pencils and 25 pens.

3 0

3 years ago

5^x + 5^x+1= 150 Find x Help me pls i need soon Tksss

raketka [301]

Answer:

$x=2$

Step-by-step explanation:

So we have the equation:

$5^x+5^{x+1}=150$

First, separate the second term:

$5^x+(5\cdot5^x)=150$

Let u equal 5ˣ. So:

$u+5u=150$

Combine like terms:

$6u=150$

Divide both sides by 6:

$u=25$

Substitute back u:

$5^x=25$

Take the base 5 logarithm of both sides:

$\log_5(5^x)=\log_5(25)$

The left cancels:

$x=\log_5(25)$

Evaluate the right:

$x=2$

So, our answer is 2.

And we're done!

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3 years ago

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2 years ago

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Answer:

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2 years ago