Answer:
Step-by-step explanation:
Alright so just like the other problem we have to use ratios to find if it is parallels or not. In order for AC and DE to be parallels the sides CE and AD and DB and EB have to have the same ration. So in answer c if you do 24/22.5 you would get 1.066666667. So then to find the length of EB we subtract 24 from 40 to get 16 and then we do 16/15 to find out if the ratios are the same. And indeed they are the same both equaling 1.066666667. If you were to divide CE/AD and DB/EB none of the answers would be the same leading to c being the correct answer
Answer:
, 
Step-by-step explanation:
Volume: length* height * width
In the first diagram:
The volume is cubic feet
Next diagram:
The volume is cubic yards
The order is 4.003 then 4.03 then 4.3
If you sketch the triangle, you need to understand that 12 is the length of opposite side (opposite to theta). Then the longest side is 13 is the hypotenuse. The other side with length 5 is the adjacent side. Thus from the definition of sin(theta)=opposite side/hypotenuse=12/13. A question for you, what is cos(theta)? cos(theta)=5/15 and tan(theta)=12/5
Answer:
6, 2, 2/3, 2/9, 2/27, 2/81
Step-by-step explanation:
The nth term of a geometric progression is expressed as;
Tn = ar^n-1
a is the first term
n is the number of terms
r is the common ratio
Given
a = 6
r = 1/3
when n = 1
T1 = 6(1/3)^1-1
T1 = 6(1/3)^0
T1 = 6
when n = 2
T2= 6(1/3)^2-1
T2= 6(1/3)^1
T2 = 2
when n = 3
T3 = 6(1/3)^3-1
T3= 6(1/3)^2
T3= 6 * 1/9
T3 = 2/3
when n = 4
T4 = 6(1/3)^4-1
T4= 6(1/3)^3
T4= 6 * 1/27
T4 = 2/9
when n = 5
T5 = 6(1/3)^5-1
T5= 6(1/3)^4
T5= 6 * 1/81
T5 = 2/27
when n = 6
T6 = 6(1/3)^6-1
T6= 6(1/3)^5
T6= 6 * 1/243
T6 = 2/81
Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81
