Answer:
3315
Step-by-step explanation:
delta math
----------------------------------------
Convert hours to minutes
----------------------------------------
1 hour 55 mins = 60 + 55 = 115 mins
1 hour 50 mins = 60 + 50 = 110 mins
_____________________________________________________
----------------------------------------
Speed = 36/h
----------------------------------------
1 hour = 36 km
----------------------------------------
Rewrite 1 hour as 60 mins
----------------------------------------
60 mins = 36 km
----------------------------------------
Find 1 min
----------------------------------------
1 min = 36 ÷ 60
1 min = 0.6 km
----------------------------------------
Find 115 mins
----------------------------------------
1 min = 0.6 km
115 min = 0.6 x 115
115 min = 69km
_____________________________________________________
----------------------------------------
Speed = 72km/h
----------------------------------------
1 hour = 72 km
----------------------------------------
Write 1 hour as 60 mins
----------------------------------------
60 mins = 72 km
----------------------------------------
Find 1 min
----------------------------------------
1 min = 72 ÷ 60
1 min = 1.2 km
----------------------------------------
Find 110 min
----------------------------------------
1 min = 1.2 km
110 min = 1.2 x 110
110 min = 132 km
_____________________________________________________
----------------------------------------
Total Distance traveled:
----------------------------------------
69km + 132km = 201km
----------------------------------------
Answer: 201 km
----------------------------------------
5x^2-45=0
<em>*Add 45 to both sides*</em>
5x^2=45
<em>*Divide both sides by 5*</em>
x^2=9
<em>*Take the square root of both sides*</em>
x=+/-9
Hope this helps!!
Answer: pi/3 radians
Step-by-step explanation:
0= arc length/radius
0= pi/3 radians
Answer:
Step-by-step explanation:
If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...
Anyways, the half angle identity for tangent is

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.
If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:
which simplifies a bit to
and a bit more to

Bring up the lower fraction and flip it to divide to get
which of course simplifies to
-3. Choice A.