An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

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:

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

4 0

4 years ago

What property is occurring in the following example? 11.5 + (- 11.5) = 0

kramer

Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

Step-by-step explanation:

A property where sum of any number and its inverse is equal to zero is called additive inverse property.

For example, 11.5 + (-11.5) = 0

Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.

Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

5 0

3 years ago

at 111111:55\text{ p.m.}55 p.m.55, start text, space, p, point, m, point, end text, thomas ties a weight to the minute hand of a

Ahat [919]

The trigonometric function's formula, which simulates the torque (tau) that the weight applied t minutes after Thomas attached it is

$3 Sin (\frac{2\frac{22}{7} }{60} (t-51))$

The angular speed of the minutes hand is

$w = \frac{2 (\frac{22}{7}) }{60}$ rad/min

Following the application of weight, the torque as a function of time t is,

$t= t_{0} sin (w (t-5) min)\\ = (3 Nm) sin ((\frac{2 (\frac{22}{7} }{60} ) rad/min (t-5) min)$

$= (3 Nm) sin ( \frac{2 (\frac{22}{7} }{60} (t-5) rad ) \\= 3 sin (\frac{2 \frac{22}{7} }{60} (t-5)$

<h3>What is torque ?</h3>

Torque, which is also known as the moment of a force, is the propensity of a force to rotate the body to which it is applied. Force (F) x Distance (r) = Torque is how torque is calculated. The distance (r) between the pivot point and the force's action point. A vector quantity is a torque. As a vector quantity, torque always has a direction that is perpendicular to the plane that contains the vectors of force and displacement.

To learn more about Torque, visit

brainly.com/question/16042080

#SPJ4

7 0

2 years ago

Fifteen years from now, Atli’s age will be 4 times his current age. What is his current age?

noname [10]

Answer:

he is three i think

Step-by-step explanation:

4 0

3 years ago

Write the sentence as an inequality. Four times a number p is more than 22

dmitriy555 [2]

Answer:4p>22

Step-by-step explanation:p is standing for a number

22 needs to be less than four times a number

For example we could fill p in with 8 and it would be 24 which is greater than 22

5 0

3 years ago