Plsssss help me with this angle circle problem what is x
2 answers:
Answer:
x = 3
Step-by-step explanation:
Once again we want to use the relationship stated earlier
Where A * B = C * D
Once again imagine that the segments in the given problem have letters
A = x
B = 12
C = x + 1
D = 9
Now we create an equation using the relationship
12 * x = 9(x+1)
now we solve using basic algebra
step 1 distribute the 9 to the x and the 1
9 * x = 9x
9 * 1 = 9
now we have 12x = 9x + 9
step 2 subtract 9x from each side
12x - 9x = 3x
9x - 9x cancels out
now we have 3x = 9
step 3 divide each side by 3
3x/3=x
9/3=3
we're left with x = 3
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Answer:
<em>Approximately 43 feet of minimum cable is needed. </em>
Step-by-step explanation:
This problem can be solved using Trigonometry and Pythagorean theorem. Pythagorean theorem applies on right-triangles (<em>which are known to have one 90° angle</em>). The theorem states that the square of the Hypotenuse is obtained by the squared sum of the other two sides of the triangle (i.e the two sides forming the 90° angle - with the hypotenuse side being across it as:
Eqn. (1)
where
is the hypotenuse
is a side
is a side
<u>Now in this case, the utility pole must be perpendicular to the ground and the anchor being parallel to the ground, and a 90° angle formed between them. </u>Conclusively the cable length will be represented by the hypotenuse in a right triangle. So here we have and
. Plugging in Eqn.(1) and solving for
we have:
So we conclude that the minimum length of cable needed by Lamont is
≈43 feet (rounded up).
The percent notation of 0.23 is 23% (
).
Hope this helps !
Photon
Hope this helps !
Photon