Answer:
3.856 seconds
Step-by-step explanation:
Set d=10 and solve for t.
10 = -12t^2 -3t +200
12t^2 +3t -190 = 0 . . . . . . subtract the expression on the right to put into standard form
This is a quadratic equation, so the quadratic formula can be used to find solutions. That formula tells you the solution to ...
ax^2 +bx +c = 0
is
x = (-b ±√(b² -4ac))/(2a)
__
We have a=12, b=3, and c=-190. The variable in our equation is t, not x. Putting these values into the formula, we find ...
t = (-3 ±√(3² -4(12)(-190)))/(2·12)
t = (-3 ±√9129)/24
t = (-3 ±95.546)/24 = -4.106, +3.856
The coconut will be about 10 ft off the ground after 3.856 seconds.
The length of missing sides x = 5 units and y = 5 units.
<h3>What is Trigonometric ratios?</h3><h3>The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).</h3>
In ΔABC,
AB (Base) = y , BC(Hypotenuse) = , CA (perpendicular) = x
and ∠ABC =
Now,
tan = perp. / base
1 = x /y
x= y .................(i)
again,
sin = perp. / Hypo.
x = 5
put in equation (i), we get
y = 5
Thus, the length of missing side of the given triangle is x = 5 units and y = 5 units.
Learn more about trigonometric ratios from :
brainly.com/question/1201366
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Use your calculator ........................
<span>Solve for "x":
a/x = x/4a
---
x^2 = 4a^2
x = 2a</span>
$9.75 because one taco is 0.75 and 13 x 0.75 is $9.75