Answer:
1.025%
Step-by-step explanation:
1.025 / 100 = 1.025%
Hope this helps
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).
Answer:
-0.0714 approx
Step-by-step explanation:
78x − 12 = 316x + 5
Bring all the like terms together
78x -316x = 5 + 12
-238x = 17
∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)
When the length of sides are given, you can use law of cosine to find the angles
Refer to this website for details
https://www.mathsisfun.com/algebra/trig-cosine-law.html
11^=8^2+5^2-2*8*5cosA
-80cosA=32
cosA=-0.4
A is about 114 degree
use the same method to find out B and C, you will get 42 and 25