Answer:
(√6 - √2)/4
Step-by-step explanation:
cos30°cos45° - sin30°sin45°
= cos (30 + 45)°
= cos 75°
= (√6 - √2)/4
9514 1404 393
Answer:
20.6 km
Step-by-step explanation:
Using (East, North) coordinates, the hiker's position ends up being ...
22.2(cos(-45°), sin(-45°)) +40.1(cos(65°), sin(65°))
We're only interested in the second coordinate of this total, which is ...
22.2sin(-45°) +40.1sin(65°) ≈ -15.698 +36.343 = 20.645 . . . km
The y-component of the hiker's position at the end of the second day is 20.6 km north of her starting location.
Answer:
91 hours
Step-by-step explanation:
Add 12 to itself 8 times and then add 7 once
1) In a dozen, there are 12. Since there are 5 dozen, you would multiply 12 by 5, which is 60.
So 5 dozen oranges would cost $60.
2) For this, I'm guessing you need a ratio. So, 2 : 5 for white: blue. When can put that down to 1 white. 1: 2.5. The question (I'm unsure of) is asking ?: 8.5. 8.5÷ 2.5 = 3.4. So you'll multiply the white side as well, 1×3.4=3.4. So 3.4.
3) You need to find what one juice box would cost. So since there were 12 in the pack, you divide the cost by 12.
5.40÷12= .45
Now they are asking for an eighteen pack, so multiply what one would cost by 18.
.45×18= 8.1
It would cost $8.10.
Answer:
x=4+9i,:x=4-9i
Step-by-step explanation:
put it into the quadratic formula
x=-(b+/- sqr b^2-4ac)/2a
8+/- sqr 64-97/2
