Starting from the fundamental trigonometric equation, we have
Since , we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have
Plugging the numbers, we have
Now, just recall that
to deduce
Answer:
1) =0.3571428571 2) Terminating
Step-by-step explanation:
1st. To answer this question let's divide with long division algorithm 5 and -14.
<u> 0.3571428571</u>
-14)50
42
---
80
-70
--
100
98
---
20
14
----
60
-56
---
40
28
--
120
-112
----
80
70
--
100
-98
--
2
5 (dividend) : -14 (divisor)
Long division (check below)
With the same two numbers -14 and 5 we can write in a Long Division
5) -14
<u> - 2.8</u>
5) -14
10
40
So
2nd. Both are terminating ones for they have finite quantities of numbers. -2.8 and 0.3571428571, as we can see that these are rational numbers for they can be written as a/b, and b≠ 0.
form.
form.
He needs to drink 3 cups MORE to meet his daily requirement.
Step-by-step explanation:
Here, as given in the question:
The total need for water = half a gallon = 0.5 gallon
1 gallon = 128 oz
So, 0.5 gallon = 128/2 = 64 oz
Now, the capacity of 1 cup = 3.5 oz
The number of cups already drank by the person = 15 cups
So, the total amount of water already taken by him
= 15 cups x Capacity of 1 cup
= 15 x (3.5 oz) = 52.5 oz
So, the amount of water left to be drink by him
= Total Need - Already covered
= 64 oz - 52 . 5 oz = 11.5 oz
Now, as 1 cup = 3.5 oz
So, 11.5 oz has cups = 3.28 cup≈ 3 cups
Hence, he needs to drink 3 cups MORE to meet his daily requirement.