If you've started pre-calculus, then you know that the derivative of h(t)
is zero where h(t) is maximum.
The derivative is h'(t) = -32 t + 96 .
At the maximum ... h'(t) = 0
32 t = 96 sec
t = 3 sec .
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If you haven't had any calculus yet, then you don't know how to
take a derivative, and you don't know what it's good for anyway.
In that case, the question GIVES you the maximum height.
Just write it in place of h(t), then solve the quadratic equation
and find out what 't' must be at that height.
150 ft = -16 t² + 96 t + 6
Subtract 150ft from each side: -16t² + 96t - 144 = 0 .
Before you attack that, you can divide each side by -16,
making it a lot easier to handle:
t² - 6t + 9 = 0
I'm sure you can run with that equation now and solve it.
The solution is the time after launch when the object reaches 150 ft.
It's 3 seconds.
(Funny how the two widely different methods lead to the same answer.)
The answer is from AL2006
Answer:
Angles in a triangles add up to 180°
Respectively 1 : 2 : 3 is going to be 1 x , 2 x and 3 x so,
1 x + 2 x + 3 x = 180°
⇒ Simplify
6 x = 180°
⇒ Divide by 6 on both sides to isolate x
x = 30°
Since the ratio was 1 x : 2 x : 3 x and x is 30°,
30 : 60 : 90
And since there is a 90° angle, it is a right - angled triangle
This is the concept of arithmetic:
fraction of:
Protein+healthy fats=1/2
carbohydrates=2/3×1/2=1/3
sugary treats=1-(1/3+1/2)= 1/6
thus the percentage of sugary treats in the current diet will be:
(fraction of sugary treats)×(percentage of the diet)
=1/6×10
=10/6
=1 2/3 %
Answer:
True
Step-by-step explanation:
repeating decimal is also known as recurring decimal. It is form of representation of fractional number in which numbers after decimal periodically gets repeated.
Example 1/9 = 0.1111 where number one gets repeated infinitely
another common example is 1/7 = 0·142857 142857 14...
here digits 142857 repeated periodically after decimal.
As given in question "A repeating decimal has a never-ending pattern of the same digits" is consistent with definition of repeating decimal hence statement is true.
