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2 years ago

Which set of lengths could be the side lengths of a right triangle?

Mathematics

1 answer:

Shkiper50 [21]2 years ago

8 0

Answer:

Step-by-step explanation:

If a triangle is a right triangle, then its side lengths must satisfy the Pythagorean Theorem: a^2 + b^2 = c^2, where c is the hypotenuse.

Let's check A, B, C and D in that order and determine which, if any, satisfies this requirement.

A: 7^2 + 7^2 = 10^2 => 49 + 49 = 100 False; eliminate option A.

B: 4.5^2 + 6^2 = 40.5 is NOT equal to 7.5^2. False: eliminate option B.

C: 10^2 + 11^2 = 221 is NOT equal to 15^2. False: eliminate Option C.

D: 8^2 + 10^2 = 164 is NOT equal to 13^2. False: eliminate Option D.

None of these seets could be the side lengths of a right triangle.

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3 years ago

A bird was perched on a tree at a height of 15 feet. The bird then saw food on a branch below and dropped down 61/3 feet. What i

natka813 [3]

The current height of the bird is -16/3

The bird perched at a height of 15 feet

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1 year ago

Find the 8th term of 27,36,48

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Step-by-step explanation:

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3 years ago

) Tara earns twice as much per hour as Kayte.

Cerrena [4.2K]

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Tara's hourly wage is x.

Kayte's hourly wage is y.

Austin's hourly wage is z.

Tara earns twice as much per hour as Kayte.

This means that $x = 2y$

Kayte earns $3 more per hour than Austin.

This means that $y = z + 3$

As a group, they earn $41 per hour.

This means that $x + y + z = 41$

What is Austin's hourly wage?

This is z.

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$4z = 32$

$z = \frac{32}{4}$

$z = 8$

Austin's hourly wage is $8.

5 0

3 years ago

Read 2 more answers