Answer:
21
Step-by-step explanation (note, the suggested way is not the shortest one):
all the details are in the attached picture.
Answer:
75
Step-by-step explanation:
Well for this you have to do 4 1/8 - 2 3/8. You cannot subtract 1 - 3, so you have to take away 1 from three and add 8 to 1 so now the equation is 3 9/8 - 2 3/8. This is equal to 1 6/8 or 1 3/4, so no, she did not use 2 2/8 yards of fabric.
Answer:
a = 4
Step-by-step explanation:
Assuming you require to find the value of a
In a rhombus all the sides are congruent, thus
9a - 13 = 3a + 11 ( subtract 3a from both sides )
6a - 13 = 11 ( add 13 to both sides )
6a = 24 ( divide both sides by 6 )
a = 4
Then
XW = 9a - 13 = 9(4) - 13 = 36 - 13 = 23
Thus the sides of the rhombus are 23 units
Answer:
(a) 35.41166
(b) 29.15324
(c) 37.6595
(d) 56.70206
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.
Step-by-step explanation:
The given function is
where t represents the number of years since 1990 and M(t) is in billions of dollars.
Differentiate with respect to t.
.... (1)
M'(t) represents the rate of change of money in circulation, where t represents the number of years since 1990.
(a) For 1991, substitute t=1 in equation (1).
(b) For 1998, substitute t=8 in equation (1).
(c) For 2005, substitute t=15 in equation (1).
(d) For 2011, substitute t=21 in equation (1).
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.