Using the quadratic formula:
16t^2-144t+H=0
t=(144±√(144^2-4*16*H))/32
t=(9/2) ±<span>√(64(324-H))/32
t=(9/2) </span>±(8<span>√(324-H))/32
t=4.5</span>±0.25<span>√(324-H)
You cannot simplify it any further with H as a variable
Hope this helps!</span>
C. would be my educated guess! I really hope this helps
The value of (f/g)(-1) is 0, value of (g . f) (2) is -3√3, the value of (g - f)(-1) is √15, and the value of (g + f) (2) is √3 - 3
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = 1 - x²
g(x) = √(11 - 4x)
f(-1) = 0
g(-1) = √15
f(2) = -3
g(2) = √3
(f/g)(-1) = f(-1)/g(-1) = 0/√15 = 0
(g . f) (2) = g(2)f(2) = (√3)(-3) = -3√3
(g - f)(-1) = g(-1) - f(-1) = √15 - 0 = √15
(g + f) (2) = g(2) + f(2) = √3 + (-3) = √3 - 3
Thus, the value of (f/g)(-1) is 0, value of (g . f) (2) is -3√3, the value of (g - f)(-1) is √15, and the value of (g + f) (2) is √3 - 3
Learn more about the function here:
brainly.com/question/5245372
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<span>Okay, I'm gonna guess that you meant 1024^(3/5), which is much easier to calculate than the other one. ^_^ First thing to recognize is that 1024 is a power of 2. 2^10 = 1024. However, you also know that 2^10 is the same thing as 4^5 (and you could have gone straight to recognizing 1024 as a power of 4 anyway, but meh), so now you know that the fifth root of 1024 is 4. So now what you have is simply 4^3 instead of 1024^(5/3). And of course, 4^3 is just 4*4*4 = 64. Have fun!</span>
Answer:
A = 77.32
Step-by-step explanation:
Since this is a right triangle we can use trigonometric functions
sin = opposite side/ hypotenuse
sin A = 80/82
sin A =40/41
Take the inverse sin of each side
sin^-1 (sin A ) =sin ^-1 (40/41)
A =77.31961651
Rounding to the nearest hundredth
A = 77.32