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Alex_Xolod [135]
3 years ago
12

Jamie is attaching two wires to a corner fence post to complete a horse paddock. The wires make a 90 degree angle to each other.

If each wire pulls on the post with a force of 50 pounds, what is the resultant force acting on the post?
Mathematics
1 answer:
sdas [7]3 years ago
4 0

Answer:

Resultant force = 70.71067811865 pounds

Step-by-step explanation:

Pythagoras theorem is used to calculate the resultant force since the angles between two wires is 90⁰

Resultant force² = 50² + 50² = 5000

Resultant force = (5000)¹/² = 70.71067811865 pounds

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A 96 foot tree casts a shadow that is 120 feet long. What is the angle of elevation of the sun? Round to the nearest degree.
zysi [14]

Answer:

\alpha \approx 39^{\circ}

Step-by-step explanation:

Let assume that tree grows perpendicular to surface. The statement is geometrically represented in the attachment included below, which resembles a right-angled triangle. Lastly, the angle of elevation of the sun is determined with the help of the following trigonometric relationship:

\tan \alpha = \frac{96\,ft}{120\,ft}

\tan \alpha = \frac{4}{5}

\alpha = \tan^{-1}\left(\frac{4}{5} \right)

\alpha \approx 38.660^{\circ}

\alpha \approx 39^{\circ}

4 0
4 years ago
When a car travels a distance, d, of 2 miles in 2 minutes, t, what is the acceleration, a, of the car?
Sphinxa [80]
The answer is 2m/s.
7 0
3 years ago
A man sells a sofa for rs 3210 making a profit of 7% what would have been his profit percent if he had sold it for rs 3360?
Digiron [165]
Let x be the original cost for the sofa.
X x (1 + 0.07) =3210
X = 3000
Now we know the cost for the sofa.
Let p be the profit percent.
3000 x (1 + p) = 3360
P = 0.12
So the percentage profit is 12%
7 0
3 years ago
What is the z score of 0.10?
Lana71 [14]

Answer:

Z (0.10) = 1.282 (the Z-score which has 0.10 to the right, and 0.4000 between 0 and it). As a shorthand notation, the () are usually dropped, and the probability written as a subscript.

Step-by-step explanation:

hope this helped you if it did plz mark brainliest

6 0
2 years ago
Zoey purchased a new car in 1992 for \$28,000$28,000. The value of the car has been depreciating exponentially at a constant rat
elena-s [515]
400$
Explanation:
In 1992, the price is 28000$ and 9600$ in 1996 so in 4 years the value the car lost is 18400$
Dividing 18400 by 4 years we get 4600 depreciation value per year.
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So in 1998 the value of the car will be:
9600 (value in 1996) - 2x4600 = 400$
3 0
3 years ago
Read 2 more answers
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