Answer:
w =< 70
(width is less or equal to 70 inches)
Step-by-step explanation:
Let l = length, w = width, h = height
Restrictions given in this question:
'sum of perimeter of the base and the height cannot exceed 130 inches'
perimeter of the base is 2 width and 2 length of the box
perimeter = 2w + 2l
Therefore, inequality involves here is
2w + 2l + h =< 130
(Note that =< here means less or equal)
Then a new condition given with
height, h = 60 in
and length is 2.5 times the width
l = 2.5w
Substitute this new condition into the equation will give us the following:
2w + 2(2.5w) + 60 =< 130
2w + 5w + 60 =< 130
7w + 60 =< 130
7w =< 130-60
7w =< 70
w =< 10
<span>* carbon-14 levels in a sample are undetectable after approximately nine half-lives.
Nine half-lives pf carbon 14 is 51,570 years.
Source:
https://en.wikipedia.org/wiki/Radiocarbon_dating
</span>
Answer: The length of BD is 2.4
Step-by-step explanation: BD is a leg of a right triangle, so use the
Pythagorean Theorem a² + b² = c²
BC is the hypotenuse here, so that is c = 3
We can use the segment CD as side b = 1.8
We will call BD side a, and solve to find that length.
a² + (1.8)² = 3² Square the known values of b and c
a² + 3.24 = 9 Subtract 3.24 from both sides.
a² = 9 - 3.24 Simplify
a² = 5.76 Find the square root of both sides (Calculator time!)
a = 2.4
39.95 + 9.80 = 49.75
70.23 - 49.75 = 20.48
20.48 / 0.32 = 64
The truck was driven 64 miles.
