Answer:

Step-by-step explanation:
Answer:
1249. 5 inches
Step-by-step explanation:
Pole length , Pl = 2 fts
Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft
Tower length, Tl = 125 ft
Tower shadow, Ts = x
Pl / Ps = Tl/ Ts
2/ 1.666 = 125 / x
Cross multiply
2x = 125 * 1.666
2x = 208.25
x = 104.125 ft
x = 104.125 * 12 = 1249. 5 inches
Answer:
16/24
Step-by-step explanation:
9/12–> simplify to 3/4
3/4=15/20
24/32=3/4
6/8=3/4
16/24 is not equal
Answer:
12
Step-by-step explanation:
hope it helps
Answer:
(a) -7 , - 9 , - 11
(b) Arithmetic sequence
(c) There is a common difference of -2
(d) -53
Step-by-step explanation:
(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :
check :
-3 - (-1) = -5 - (-3) = -7 - (-5) = -2
This means that there is a common difference of -2 , which means it is an arithmetic sequence.
The next 3 terms we are to find are: 5th term , 6th term and 7th term.
= a + 4d
= - 1 + 4 ( -2 )
= -1 - 8
= - 9
6th term = a +5d
= -1 + 5(-2)
= -1 - 10
= - 11
= a + 6d
= -1 + 6 (-2)
= -1 - 12
= -13
Therefore : the next 3 terms are : -9 , -11 , - 13
(b) it is an arithmetic sequence because there is a common difference which is -2
(c) Because of the existence of common difference
(d)
= a + 26d
= -1 + 26 ( -2 )
= -1 - 52
= - 53