Answer:
x = 121°
Step-by-step explanation:
The angle supplementary to 115° is 180 - 115 = 65° and the angle that forms a full circle with 304° is 360 - 304 = 56°. Since the measure of an exterior angle is equal to the sum of its remote interior angles, we know that x = 65 + 56 = 121°.
We presume the temperature is decreasing at midnight, so reaches a low at 6 a.m.. The amplitude of the variation is (87-63)/2 = 12 degrees. We want the period to be 24 hours, so the argument of the sine function will be 2π(t/24) = πt/12. Then we can write
... d = 75-12sin(π·t/12)
Answer:
$997
Step-by-step explanation:
Okay, so the first thing you need to do is find how much commission Luis received so that we can add that to the base salary. To do that, we could set up a proportion.
Since percentages are out of 100, we'll need to put 14 over 100. Because $6050 is the total amount he sold, we'll put that number in the denominator corresponding to the total, or 100. The proportion will look somewhat like the following:

To find X, we have to multiply across (14 × 6050, which is 84700) then divide that by 100 (or the denominator right on the other side), which would result in 847.
So... X = $847. Now we add that to the base salary (150 + 847), and that gets us $997 for the total he was paid last week.
I apologize for taking so long to help ^-^;
He can drink 2/5 of the 8 3/4 sodas.

The answer is 7/2 or 3 1/2 sodas.
Of course, Fred would be better off is he drank water instead of soda. :-)