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Katarina [22]
2 years ago
13

What is the exact value of the expression the square root of 486. − the square root of 24. + the square root of 6.? Simplify if

possible.
Mathematics
1 answer:
kenny6666 [7]2 years ago
8 0
Sqrt(486) - sqrt(24) + sqrt(6)

find the factors of 486 that we can remove from under the square root sign
 2 * 243
 2 * 3 * 81
 2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)

Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)

Finally, add all 3 terms together

9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)

8 times square root of 6 is the final answer
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mixer [17]
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6 0
2 years ago
Consider two forces of 17 and 42 pounds both acting in the horizontal direction on a single object. find the resultant force act
lys-0071 [83]

The forces have a magnitude of 59 pounds, and their direction angles are zero.

<h3>What is the magnitude of force?</h3>
  • The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. The force's strength reduces when forces are exerted on an item from different angles.
  • When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out. When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out.
  • According to this formula, the amount of net force acting on an item is equal to the mass times the acceleration of the object.
  • Magnitude is a term that refers to size or importance. The depth of the Grand Canyon serves as an illustration of magnitude. The scope of the hunger crisis in the world serves as an illustration of magnitude. A measurement of the energy released by an earthquake, as shown on the Richter scale (geology).

Two forces of 17 and 42 pounds act horizontally on an object.

i.e

F1 = 17 pounds

F2 = 42 pounds

As the magnitude of the force represents the sum of all the forces

The direction is the same

Magnitude : 17 + 42 = 59 pounds

The Direction angles : 0

As they have the same direction so angle will be 0.

The forces have a magnitude of 59 pounds, and their direction angles are zero.

To learn more about the Magnitude of forces and Direction angles of forces, refer to:

brainly.com/question/14584426

#SPJ4

7 0
1 year ago
There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on the ma
klio [65]
5:8 Hope this helps!!
3 0
2 years ago
Will the quotient 7,818 divided by 25 be greater than 100 or less than 100? How do you know?
True [87]

Answer:it would be way over 100 because If you do the math it comes out as 312.73….. therefore it’s higher than 100 hope this helped hunny boo

4 0
2 years ago
I need help quickly with these problems please see the images thank you so much
Ugo [173]
By law of the sine we have:
 sine (y) /35.2=sine (95) / 86
 Clearing we have:
 sine (y) = (sine (95) / 86) * (35.2)
 y = asine ((sine (95) / 86) * (35.2))
 y = 24.0632456
 Rounding:
 y = 24 degrees
 Answer:
 
The answer for this case is given by:
 
y = 24 degrees
 
option 1
3 0
3 years ago
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