Answer:
NM = 13
Step-by-step explanation:
pythagorean theorem: 
a or NO = 5
b or OM = 12
c or NM = ?
plug in what is known:
⇒ 
⇒ 
⇒ 169 = 
square root each side of the equation:
⇒ 
solve:
⇒ 13 = c
2 x 1/6 = 2/6 which can be reduced to 1/3
4 x 3/8 = 1 and 4/8 which can again be reduced to 1 and 1/2
problem 2 - 3/4
problem 3 - 2 (whole number)
I remember CUP -- concave up positive. Here we have a leading coefficient that's negative, so the cup is upside down, the parabola opens down, an arch not a bowl.
We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575
</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]
For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]
Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]
We know that
circumference=pi*D
where
D is the diameter
D=91 cm
so
pi-----> is the value of the calculator------> 3.1415926535897932
circumference=pi*91------> 285.88 cm------> 285.9 cm
the answer is
285.9 cm
