What is a material called if it allows electricity to flow through it easily?
2 answers:
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Answer: 90
Step-by-step explanation:
The formula for calculating the nth term of a sequence is given as :
= a + ( n - d )
Where a is the first term
d is the common difference and
n is the number of terms
This means that the 4th term of an arithmetic sequence will have the formula :
= a + 3d
And the 4th term has been given to be , 12 ,substituting into the formula we have
12 = a + 3d .............................. equation 1
Also substituting for the 8th term , we have
36 = a + 7d .............................. equation 2
Combining the two equations , we have
a + 3d = 12 ................... equation 1
a + 7d = 36 ------------ equation 2
Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is
a = 12 - 3d ................... equation 3
substitute a = 12 - 3d into equation 2 , equation 2 then becomes
12 - 3d + 7d = 36
12 + 4d = 36
subtract 12 from both sides
4d = 36 - 12
4d = 24
divide through by 4
d = 6
substitute d = 6 into equation 3 to find the value of a, we have
a = 12 - 3d
a = 12 - 3 ( 6)
a = 12 - 18
a = -6
Therefore , the 17th term of the sequence will be :
= a + 16d
= -6 + 16 (6)
= -6 + 96
= 90
Therefore : the 17th term of the sequence is 90
Answer:
A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 54 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth
The agent shoot his laser gun at 80.5 degree.
Step-by-step explanation:
Given:
Height at which the horrible alien is standing = 324 m
Distance from the (tower) where the agent is = 54 m
According to the question:
Men In Black agent is aiming his laser gun to shoot the horrible alien.
Let the angle at which the agent shoot his gun be " Ф "
As from the situated depicted we can draw a right angled triangle.
Using trigonometric ratios:
tan (Ф) = opposite/ adjacent
In triangle OPQ .
The adjacent side = 54 m
The opposite side = 324 m
⇒ Plugging the values.
⇒
⇒
⇒
⇒
Nearest tenth it is 80.5 degrees.
So,
Men In Black must shoot the laser gun at an angle of 80.5 degrees.
