<h3>
Answer: approximately 1560.1 foot-pounds</h3>
Explanation:
Refer to the diagram below. The angle theta is the angle of elevation formed between the horizontal line and the diagonal force being applied (the pulling force). Let x be the horizontal component pulling force, which is the horizontal portion of the right triangle. We know the hypotenuse of this triangle is 55 pounds as it is the force applied.
Use the cosine ratio to help solve for x. Make sure your calculator is in degree mode.
cos(angle) = adjacent/hypotenuse
cos(19) = x/55
x/55 = cos(19)
x = 55*cos(19)
x = 52.0035216579624 which is approximate
Roughly 52.0035216579624 pounds of force is being applied in a pure horizontal direction. The cart moves 30 feet, so,
work = (force)*(displacement)
work = (52.0035216579624)*(30)
work = 1560.10564973888
work = 1560.1 foot-pounds
A foot-pound is a unit of work, similar to how a joule is as well (though a joule measures in kilograms and meters)
The slopes of two lines are equal which means that the lines are parallel.
Further explanation:
The slopes of lines are used to find the relationship between two line.
- If two lines are parallel, then their slopes will be equal.
- If two lines are perpendicular, the product of slopes of both lines will be -1
The standard form of equation of line is:
The coefficient of x is the slope here.
y=1/3x+4
Let m1 be the slope of first line:
Let m2 be the slope of second line
We can see that:
The slopes of two lines are equal which means that the lines are parallel.
Keywords: Parallel Lines, Perpendicular Lines
Learn more about lines at:
#LearnwithBrainly
Answer:
1024
Step-by-step explanation:
you can plug 10 to the explicit formula. f(n)= a times r to the power of n minus 1. A is the first term, r is the common ratio and n is the nth term. 2 times 2 to the power of 10 minus 1. 2 times 2 to the power of 9 is 1024. Hope this helps!
Answer:
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