Carlos calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it?

Mathematics

2 answers:

Paladinen [302]3 years ago

8 0

Answer:

The first triangle

Step-by-step explanation:

The Pythagoras theorem is used to calculate the side length of the right angle triangle.

The theorem says that the sum of the square of the two shorter legs of a right angle is equal to the square of the hypotenuse.

From the given triangles, the only one which is a right angle triangle is the one with side lengths 2 and 3 .

The first triangle from left to right.

julsineya [31]3 years ago

4 0

For this case, we have that by definition, the Pythagorean theorem can only be applied to rectangular triangles.

The Pythagorean theorem states that:

$a ^ 2 + b ^ 2 = c ^ 2$

Where:

a, b: are the legs

c: it is the hypotenuse.

In this case the rectangle triangle is in option A.

Answer:

Option A

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Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his

Alborosie

Answer: $8t+581$

Step-by-step explanation:

<h3> The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />

Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.

Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.

Then, you can represent the number of hours he worked as a waiter this month with this equation:

$w=83-t$

Since he earns $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:

$15t+7w$

Since $w=83-t$ , you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.

This is:

$15t+7(83-t)=15t+581-7t=8t+581$