The angle
is in Quadrant 1 and cos of an angle in quadrant 1 is always positive
We have 112.5 = 225/2; cos112.5 < 0 because 90 < 112.5 < 180;
cos 112.5 = cos(225/2);
We use the trigonometric formula: cos(x/2) = -
;
Then, cos(225/2) = -
;
We have the formula: cos(270 - x) = -sinx (because cos(a-b) = cosacosb + sinasinb);
Then, cos225 = cos(270-45) = -sin45 = -
Finally, cos112.5 = -
28 = x + (2x - 5)
28 = 3x - 5
+5 +5
33 = 3x
/3 /3
11 = x
On number is 11, the other is 17.
Check:
11(2)=22-5=17
Answer: 56 meters long and 49 meters wide
Step-by-step explanation:
Convert 350% to a decimal. 350% is 3.5. Each lenth is 3.5x larger than the original pond.
16*(3.5) =56 meters length
14*(3.5) = 49 meters width
56 meters long and 49 meters wide
Answer:
Smoothie = 3
Ice cream = 1.5
Step-by-step explanation:
2s + i = 7.5
3s + 2i = 12
subtract the equations
(3s + 2i) - (2s + i) = s + i
s + i = 4.5
2s + i = 7.5, so s must equal 3 (7.5 - 4.5)
If s = 3, then i is 1.5 (4.5 - 3.5)
To check, plug 3 and 1.5 into s and i.
2(3) + 1.5 = 7.5
6 + 1.5 = 7.5
7.5 = 7.5
3(3) + 2(1.5) = 12
9 + 3 = 12
12 = 12