Answer:
16.2 m
Step-by-step explanation:
First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so
a²+b²=c², with c being the side opposite the right angle (the cable), getting us
10²+(length of pole)² = 19²
19²-10²=(length of pole)²
= 261
square root both sides to isolate the length of the pole
length of pole ≈ 16.2 m
Angle KJL and Angle IJL are supplementary angles
Supplementary angles are angles that add up to 180 degrees
Answer:
9.8
Step-by-step explanation:
a geometric sequence means we multiply the previous element by a certain factor to get the next element.
so, all we need to do is determine the factor used to go from one element in the list to the next.
a1 = 9
a2 = 88.2
a3 = 864.36
a4 = 8470.728
the simplest case is usually the case from a1 to a2.
a2 = a1×f
88.2 = 9×f
f = 88.2/9 = 9.8
we are finished here.
but we can control our result and verify with the other given elements.
88.2 × 9.8 = 864.36
and that is a3. fits.
864.36 × 9.8 = 8470.728
and that is a4.
so, all fits, we are correct.
Answer:
neither arithmetic nor geometric
Step-by-step explanation:
16, 12, 32, 92, ...
For arithmetic , there should be a common difference
16, 12, 32, 92, ...
Lets find the difference of two consecutive terms
12-16 = -4
32 - 12 = 20
92 - 32 = 60
Common difference is not same so it is not arithmetic
For Geometric , there should be a common ratio
16, 12, 32, 92, ...
Lets find the ratio of two consecutive terms
Common ratio is not same , so it is not Geometric
So answer is neither arithmetic nor geometric
The answer is C.
You are multiplying 8 and a number, x, and adding 2, as the word phrase states.
Hope this is helpful!!
