The answer you want would be A
Answer:
<h3>1</h3>
Step-by-step explanation:
Sum of nth term of a GP is expressed as;
Sn = a(r^n-1)/r-1
The sum of the first 8 terms of a GP is expressed as;
S8 = a(r^8 - 1)/r-1
The sum of first 4 terms is expressed as;
S4 = a(r^4 - 1)/r-1
If the sum of the first 8 terms of a GP is five times the sum of first 4 terms then
S8 = 5S4
a(r^8 - 1)/r-1 = 5[a(r^4 - 1)/r-1]
r^8 - 1 = 5(r^4 - 1)
r^8 - 1 = 5r^4 - 5
r^8 - 5r^4 = -5+1
r^4(r^4 - 5) = -4
r^4 - 5 = -4
r^4 = -4+5
r^4 = 1
r = 1
Hence the common ratio is 1
Answer:
m(∠LMK) = 27.9°
Step-by-step explanation:
We have to calculate the measure of angle LMK.
Measure of opposite side (KL) = 7.4
Measure of adjacent side (ML) = 14
By applying tangent rule in the given triangle,
tan(∠LMK) =
=
=
= 0.52857
m(∠LMK) =
= 27.9°
-3x-2-6x=-4-<em>(-4x)</em>+12
-9x-2=-16x+12
7x=14
x=2.
You probably got confused with the italicized part.
Answer:
The answer to the question is
Shawn has to wait for 3 minutes for Jason to meet him at 2 miles away from the station
Step-by-step explanation:
To solve the question, we note the variables
Bike speed = 20 mph
Start point of Jason = 1 mile away from the station
Starting point of Shawn = 2 mile away from the station
Total miles away from station = y
Direction of biking = away from the station
Therefore if they both start biking at the same time, Shawn is ahead of Jason
Riding speed of Shawn = Riding speed of Jason = 20 mph
That is Shawn has to wait for 1/20 hr or 3 minutes for Jason to meet him at 2 miles away from the station