Answer:
318.267 feet per second
19096 feet per minute
Step-by-step explanation:
1) 217*5280 to get feet
2) 1145760/60 to get feet per minute
3) 19096/60 to get feet per second
Answer:
x = 6 or x = -3/2
Step-by-step explanation:
Solve for x:
16 x^2 - 72 x + 145 = 289
Hint: | Write the quadratic equation in standard form.
Divide both sides by 16:
x^2 - (9 x)/2 + 145/16 = 289/16
Hint: | Solve the quadratic equation by completing the square.
Subtract 145/16 from both sides:
x^2 - (9 x)/2 = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 81/16 to both sides:
x^2 - (9 x)/2 + 81/16 = 225/16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 9/4)^2 = 225/16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 9/4 = 15/4 or x - 9/4 = -15/4
Hint: | Look at the first equation: Solve for x.
Add 9/4 to both sides:
x = 6 or x - 9/4 = -15/4
Hint: | Look at the second equation: Solve for x.
Add 9/4 to both sides:
Answer: x = 6 or x = -3/2
Answer:
The ratio in its simplest from is 4:5
Step-by-step explanation:
Now, let’s pick an arbitrary value for the total number of students in that class.
Let’s say we have 45 students in the class
The number of women would be 5/9 * 45 = 25
The number of men would be 45-25 = 20
So the ratio of men to women would be;
20:25 which in its simplest form = 4:5
Thus L.H.S = R.H.S that is 2/√3cosx + sinx = sec(Π/6-x) is proved
We have to prove that
2/√3cosx + sinx = sec(Π/6-x)
To prove this we will solve the right-hand side of the equation which is
R.H.S = sec(Π/6-x)
= 1/cos(Π/6-x)
[As secƟ = 1/cosƟ)
= 1/[cos Π/6cosx + sin Π/6sinx]
[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]
= 1/[√3/2cosx + 1/2sinx]
= 1/(√3cosx + sinx]/2
= 2/√3cosx + sinx
R.H.S = L.H.S
Hence 2/√3cosx + sinx = sec(Π/6-x) is proved
Learn more about trigonometry here : brainly.com/question/7331447
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Answer:
b
a=1
Step-by-step explanation:
