#3 sin(x) = -sqrt(2)/2 so x = 315 degrees. So we have sin(x+pi/3) = sin(375) = sin(15) which in exact form would be (sqrt(3) -1)/(2sqrt(2))
#4 to find x we take the arctan(20/21) which is approximately 43.6 degrees and add 180 to it since it's in the 3rd quadrant which is 223.6 degrees so we do sin(223.6 + 90) = sin(313.6) which equals -21/29. This can also be done with the pythagorean theorem. -21/29.
#5 13^2 - 5^2 = 12^2. so sin is -12/-13 = 12/13. we take arcsin of that and add 180 and then divide by 2 and take the sin of that and its approximately 3/sqrt(13).
#6 sin is 4/5 so we take arcsin of that and get 143.13 which -60 is 83.13 and we take the sin of that to get 3/10 + 2sqrt(3)/5
Hope this helped :L
Answer:
280 miles
Step-by-step explanation:
in one hour, you would travel 70 miles because you are going at the speed of 70mph
so to find out how far you go in 4 hours you would multiply 70(mph)×4(hrs) which would be?
280 miles
Answer:
-5 1/8
Step-by-step explanation:
-5 1/8
Answer:
<h2>f(x) = -x² + 2x + 4</h2>
Step-by-step explanation:
We have quadratic functions f(x) = ax² + bx + c.
c - y-intercept
If a > 0, then a parabola opens up and has a minimum in a vertex.
If a < 0, then a parabola opens down and has a maximum in a vertex.
The function has maximum and y-intercept of 4:
a < 0 and c = 4
Answer: 3.33miles
Step-by-step explanation:
given data:
distance covered in first 15 minutes = 10 miles
time spent buying gas and some snacks = 10mins.
= 10/15 * (15 –10 )
= 3.33miles
jacob has traveled 3.3miles between 10 and 15 minutes.
