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
Answer:
18.72 cubic feet
Step-by-step explanation:
Volume of the aquarium = lwh
- l = 5.2 ft,
- w = 1.8 ft
- h = 2 ft
V = 5.2*1.8*2 = 18.72 cubic feet
Triangle,quadrilateral,pentagon,hexagon,octagon,decagon.
Triangle quadrilateral octagon - regular
rest are not. Someone might need to check me if im right about regular and irregular :) Hope I helped
Answer:

Step-by-step explanation:
We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.
Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.
Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.
, where,
r = Radius of cylinder,
h = height of the cylinder.
Upon substituting our given values in volume formula we will get,






Therefore, the volume of earth removed to build the three tunnels is
.
To compare 5/8 and 1/2, you will need to create fractions that have the same denominator. 1/2 is the same as 4/8.
5/8 is greater than 4/8, so she had knitted more than 1/2.