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
Log base 3 of 4 + log base 3 of 11= log base 3 of 4•11; Answers is 11
Answer:
0.
Step-by-step explanation:
Using the laws of logarithms:
log81/8 + 2log2/3 - 3log 3/2 + log 3/4
= log 81/8 + log (2/3)^2 - log (3/2)^3 + log 3/4
= log 81/8 + log 4/9 - log 27/8 + log 3/4
= log 81/8 + log 4/9 - (log 27/8 - log 3/4)
= log (81/8 * 4/9) - log (27/8 * 4/3)
= log 9/2 - log 9/2
= 0.
Answer:
Step-by-step explanation:
The lower value is 15,The upper value is 100, The median is 32 and 39, The lower quartile is 30, the upper quartile is 50, and the interquartile range is 36.
Answer:
A triangle is 180 degrees. Imagine that two angles would be given as maybe 89 and 30 degrees. With these two angles already given you can find the last third angle by adding the 2 given angles and subtracting it from 180. There fore it would look like 180-119=61. 61 would be your unknown angle degree.
<u>If you meant something else please comment I will help you more.</u>
