14.87
Step-by-step explanation:
use the Pythagorean theorem
a^2+b^2=c^2
C being the longest side of the triangle
14^2+5^2=C^2
196+25=C^2
221=C^
find the square root of 221
C=14.866
rounded to nearest tenth
C=14.87
Set up a proportion.
62 over 9 = x over 1
62/9=6.8
9/9=1
6.8 over 1
rounded would be seven
so 6.8 hotdogs per minute
(13 + 20) + 15 = 13 + (20 + 15)
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
Supplementary angles measure 180°. Make an equation:
Subtract 28 to leave the variable in the parentheses alone:
Add the 2 x's together:
Your new equation is:
Divide both sides by 2 to leave the variable alone
The supplement measures 76°
