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SCORPION-xisa [38]
3 years ago
15

How hard must someone pull on the unkown line and inwhat direction to keep the knot from moving ​

Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0

Answer:

4.4N, 263.4°

Step-by-step explanation:

The sum of all forces must add to zero:

The forces in the x-plane:

∑F = 3N + (cos 120°)*5N + x = 0

x = -(3N + (cos 120°)*5N)

x = -0.5N

The forces in the y-plane:

∑F = (sin 120°)*5N + y = 0

y = -(sin 120°)*5N = -√(3/4)*5N = -4.3N

The magnitude of the unknown force U is:

U = √(x² + y²) = √19 = 4.4N

The direction is given by:

tanФ = y/x

Ф = 263.4°

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2xy+3x+4x+3 if x =5 and y = -5
Stels [109]

Answer:

The answer is -12

Step-by-step explanation:

2xy + 3x + 4x + 3 if x = 5 and y = -5

Now,

2xy + 3x + 4x + 3

2(5)(-5) + 3(5) + 4(5) + 3

-50 + 15 + 20 + 3

38 - 50 = -12

Thus, The answer is -12

<u>-</u><u>TheUnknownScientist</u>

6 0
3 years ago
You row a canoe x miles per hour down a river for 20 minutes. On the return trip, you travel 1 mile per hour slower. The return
ozzi

Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

D is distance

R is rate (speed)

T is time

First Leg:

Rate = x mph

Time = 20/60 = 1/3 hour

Hence, D = RT, Distance = x * 1/3 = x/3 miles

Second Leg:

Rate = x - 1

Time = 30/60 = 1/2 hour

Distance = (x - 1) * 1/2 = (x-1)/2

Total distance is the sum of both the legs, hence,

Total distance = \frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6} miles

Since both the distance are equal we can equate and solve:

\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3

Plugging this x = 3 into the total distance expression, we get:

\frac{5x-3}{6}\\\frac{5(3)-3}{6}\\=2

Total distance, 2 miles

5 0
3 years ago
Choose the most appropriate translation of the equation.Height(age) = 100A. The height of an oak tree (100) depends on the age o
Zigmanuir [339]
The height of an oak tree (which depends on the age of the tree) is 100
6 0
3 years ago
The graph of a relation must pass the vertical line test.<br><br> True or false
ozzi

Answer:

The graph of a relation must pass the vertical line test.

True

5 0
2 years ago
Read 2 more answers
Shawna, Dexter, and Tilana are solving the equation -2.5(5-n)+2=15. Shawna says, “I can begin by dividing each side of the equat
laila [671]
Hi!
Shawna is correct because since it's multiplied to the  5-n you have to do the opposite which is division. 
Dexter is also correct because after distributing you can continue solving, there is nothing wrong with that. 
Hope this helps!
4 0
3 years ago
Read 2 more answers
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