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Ainat [17]
3 years ago
14

During a wind storm, two guy wires supporting a tree are under tension. One guy wire is inclined at an angle of 35 degrees and u

nder 500 N of tension. The other other wire is inclined at 40 degrees to the horizontal and is under 400 N of tension. Determine the magnitude and direction of the resultant force on the guy wires
Mathematics
1 answer:
lesya [120]3 years ago
5 0
Resultant Vector: 554 N in the angle 80 degrees with the horizontal.


First, we must put each given in Polar form:
1. 500 N in the angle of 35 degrees with the horizontal
2. 400 N in the angle of 140 degrees with the horizontal in the same direction of the first guy wire (counterclockwise direction)

Then, add up the two polar forms, and it would give 553.59 in the angle of 79.26 with horizontal- counterclockwise direction. As estimated, 554 N in the direction of 80 degrees North of East.
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Write the equation in point slope intercept form of the line that passes through (6,-11) and is parallel to the graph of y=-2/3x
Alina [70]

Answer:

y+11=-2/3(x-6)

Step-by-step explanation:

To find the parallel line, we would just plug in the numbers in the point-slope form from what we're given. We have y=-2/3x+12 and (6,-11).

Point-slope form:

y-y1=m(x-x1) → y+11=-2/3(x-6)

m represents the slope, which is -2/3 in this situation.

y1 represents the y coordinate, which is -11 in this situation. However, when we plug in negative numbers in a point-slope form, we would do the opposite of the negative number, which is to make it a positive in point-slope form.

x1 represents the x coordinate, which is 6 in this situation.

8 0
3 years ago
A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest
Mice21 [21]
A = a^2.....where " a " is the length of one side
A = 79

79 = a^2...take sqrt of both sides, eliminating the ^2
sqrt 79 = a
8.89 = a

so the length of one side is approximately 8.89 ft <==
8 0
3 years ago
A home with a market value of $240,000 is assessed at 40% of the market value. What's the assessed value?
hammer [34]

Answer:

  $96,000

Step-by-step explanation:

40% of $240,000 is ...

  0.40 × $240,000 = $96,000

The assessed value is $96,000.

4 0
3 years ago
Simplify 8 over negative 3 divided by negative 4 over 9 . (5 points) <br> -8<br> -6<br> 6<br> 8
denpristay [2]

Answer:

6

Step-by-step explanation:

(8/3) / (-4/9)

when dividing fractions you use the acronym k.c.f (keep change flip)

keep the first fraction

change the operation (divide to multiply)

flip the other fraction

(8/-3) x (9/4)

after re-writing your expression, you want to solve

do this by multiplying both numerators by each other and same with the denominators

(-8x9) / (3x-4)

then you get a new fraction,

-72/-12

simplify,

-72/-12 = 6 (multiplying/dividing 2 negatives will always give you a positive)

3 0
3 years ago
If n = 37 cm and l = 12 cm, what is the length of m?
emmainna [20.7K]

<em> would say that the answer is </em><em>A. 25 cm</em><em> only because 37-12=25 and I don't necessarily know what the question is trying to ask.</em>

<em>Hope this Helps!<3</em>

6 0
3 years ago
Read 2 more answers
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