Answer:
<em> Length of guy wire is 590.6 ft</em>
Step-by-step explanation:
The complete question is
A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 20° with the ground. Give your answer to the nearest tenth of a foot.
height of tower = 210 ft
8 ft fro the top leaves 210 - 8 = 202 ft to the ground
This is an angle of elevation problem
the opposite is 202 ft
hypotenuse = ?
angle is 20°
using sin ∅ = opp/hyp
sin 20° = 202/hyp
0.342 = 202/hyp
hyp = 202/0.342 = <em>590.6 ft this is the length of the guy wire</em>
Step-by-step explanation:
1)
Let x=larger number
y=smaller number
x+y=59
x-y=13
Now adding these two equations we get
2x=72
x=36
Now as x-y=13
y=x-13=36-13=23
y=23
Therefore the larger number is 36 and the smaller number is 23
(or else u could also write)
The numbers are 36 and 23
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2)
Let x=first number
y=Second number
x+y=15
2x-y=6
Now adding these two equations we get
3x=21
x=7
Now as x+y=15,
y=15-x=15-7=8
y=8
Therefore the first number is 7 and the second number is 8
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3)
Let x=Larger number
y=smaller number
x-y=3
x-3y=-11
Now on subtracting these two equations we get
2y=14
y=7
Now as x-y=3,
x=y+3=7+3=10
x=10
Therefore the larger number is 10 and the smaller number is 7
<u>Answer-</u>
<em>Perimeter of the kite is </em><em>16.2 units</em>
<u>Solution-</u>
As WXYZ is a kite, so two disjoint pairs of consecutive sides are congruent, i.e WX=XY and WZ=ZY
So, perimeter of the kite WXYZ is,
And
So, perimeter will be,
Answer: C) 127, 152.4, 182.88, 219.456,...
Step-by-step explanation:
You can only find the sum of an infinite geometric sequence if it converges.
One criterion to see if the series converges is if:
aₙ < aₙ₋₁
This means that, as n increases, the value of the terms decreases.
This means that as n tends to infinity, aₙ tends to zero.
Then we only can find the sum of those series where the terms are decreasing.
in A, B and D the terms are decreasing, then we can find the sum of those 3 series.
Now in the case of C, the terms are increasing, then we can not find the sum of that series.
