Use the formula an = aj(r)a- to write a formula for the geometric sequence below.
1 answer:
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Answer:
46 and 277
Step-by-step explanation:
Given
f(x) = - 8x - 11 ← substitute x = 3, x = - 4 into f(x)
f(3) = - 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46
f(- 4) = - 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277
Answer:
60°
Step-by-step explanation:
This questions tests our knowledge on arcs and arc measures.
-Arc measure is the angle that an arc makes with the circle's center.
-The arc measure is proportional to the arc.
#The sum of the 3 arcs is x+2x+3x=6x
Given a circle has 360°, the arc measurement x can be calculated as:
Hence, the arc measurement x is 60°
Answer:
2 meters
Step-by-step explanation:
We need to use trigonometry for this. The appropriate one would be tangent, which is (opposite side) divided by (adjacent side).
In this case, the opposite side of angle A is BC, which is 6 meters. The adjacent side of angle A is AB, which is the ground. Since we don't know its length, we call it x.
Now, we write:
= 6/x
To solve, we just multiply both sides by tan(x) and x:
x = 6/[tan(72)] ≈ 1.95 meters ≈ 2 meters.
Thus, the answer is 2 meters.
Hope this helps!