a box of granola contains 16.8 ounces. It costs &5.19. What is the cost, to the nearest cent, of the granola per ounce ? Som
1 answer:
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Answer:
a)
b)
c) term number 17 is the one that gives a value of 40
Step-by-step explanation:
a)
The sequence seems to be arithmetic, and with common difference d = 3.
Notice that when you add 3 units to the first term (-80, you get :
-8 + 3 = -5
and then -5 + 3 = -2 which is the third term.
Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:
That in our case would give:
b)
Therefore, the term number 20 can be calculated from it:
c) in order to find which term renders 20, we use the general form we found in step a):
so term number 17 is the one that renders a value of 40
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.
