Step-by-step explanation:
after I answered the other one(s), you should be really able to do this yourself.
it is precisely the same method and formula just with different numbers.
what's the problem now ?
y = -16x² + 247x + 141
we assume, the ground is at 0 ft.
so, we need to solve
0 = -16x² + 247 x + 141
the general solution for such quadratic equations is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -16
b = 247
c = 141
x = (-247 ± sqrt(247² - 4×-16×141))/(2×-16) =
= (-247 ± sqrt(61009 + 9024))/-32 =
= (-247 ± sqrt(70033))/-32
x1 = (-247 + 264.6374879...)/-32 = -0.551171497... s
x2 = (-247 - 264.6374879...)/-32 = 15.9886715... s
again, the negative solution for time did not make any sense, so, x2 is our solution.
the rocket will hit the ground after about 15.99 seconds.
Answer:
the answer is 200 mph because you take and divide the 400 miles by 20 mph
Step-by-step explanation:
Answer:
Wanda and Dave will catch each other in 54 seconds after Dave starts walking.
Step-by-step explanation:
Let Wanda and Dave catch each other when x be the time after Dave starts walking and y be the distance covered by them
It is given that Wanda started walking along a path 27 seconds before Dave and the constant speed of Wanda is 3 feet per second.
.... (1)
The constant speed of Dave is 4.5 feet per second.
.... (2)
Equate equation (1) and (2).
Divide both sides by 1.5.
Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.
Answer:
4
Step-by-step explanation:
To find the side length of the original triangle:
24/3=8 (because it is an equilateral triangle).
Because the triangle is dilated by a factor of 0.5 and the triangle is equilateral, the side lengths of the new triangle is
8*0.5=4
<h3>
Answer: B) 60</h3>
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Explanation:
Whenever the angle theta is between 0 and 90, the reference angle is exactly that value.
It's only when you get to other quadrants is when things get a bit tricky. Right now we're in quadrant 1, often written as Q1.
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Extra info:
- If theta is between 90 and 180, then the reference angle is 180-theta. This region is Q2
- If theta is in quadrant 3, between 180 and 270, then the reference angle is theta-180. The order of subtraction is important since x-y is the not the same as y-x.
- Lastly, if theta is between 270 and 360 (in Q4), then the reference angle is 360-theta.
- As you can see, we have four quadrants starting with Q1 in the upper right corner. Then we move counterclockwise to get Q2,Q3 and Q4.
