Sophie updated the settings on her weather app to alert her when the temperature drops below 0°C or rises above 5°C. The compound inequality below translates Sophie's settings into degrees Fahrenheit.

The correct solution is:  x < 32 or x > 41

and the graph is attached.

Explanation:

The inequality to convert the degrees Celsius to Fahrenheit would be:

x < 9/5(0)+32 or x > 9/5(5)+32

Simplifying this, we have:

x < 0+32 or x > 45/5 + 32

x < 32 or x > 9+32

x < 32 or x > 41

To graph this, we start with a number line (in this case, from 30 to 45).

We graph an open dot at 32 and 41; the dots are open because these are not included in the solution.  She wants to know when the temperature is less than 32 or greater than 41, not equal to.

From 32, we graph the line to the left, because it is less than.

From 41, we graph the line to the right, because it is greater than.

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.