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andriy [413]
3 years ago
9

Can you simplify 3/18. EXPLAIN?

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
6 0

Answer:1/6



Step-by-step explanation:


Sauron [17]3 years ago
3 0

Answer:

Yes, it simplifies to 1/6.

Step-by-step explanation:

Both the top (numerator) and bottom (denominator) can be both divided by 3.  3 divided by 3 is 1. 18 divided by 3 is 6.

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two vertical cliffs are on opposite sides of a 90 foot wide river. From point A at the top of the shorter cliff, the angle of el
Sedbober [7]
Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.

If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.

Therefore, we can set up a tangent equation.

From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:

tan(28) = x /90
x = 47.88

From the top of the short cliff to the bottom, we can right and solve the following trip equation.

tan(38) = x/90
x = 70.32

The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.

5 0
3 years ago
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is
kodGreya [7K]

We're looking for a scalar function f(x,y) such that \nabla f(x,y)=\vec F(x,y). That is,

\dfrac{\partial f}{\partial x}=2x-6y

\dfrac{\partial f}{\partial y}=-6x+6y-7

Integrate the first equation with respect to x:

f(x,y)=x^2-6xy+g(y)

Differentiate with respect to y:

-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7

Integrate with respect to y:

g(y)=3y^2-7y+C

So \vec F is indeed conservative with the scalar potential function

f(x,y)=x^2-6xy+3y^2-7y+C

where C is an arbitrary constant.

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Step-by-step explanation:

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Ruby weighs 88 lbs. Her weight is 12 lbs. less than half her mother's weight. How much does her mother weigh?
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88 = m - 12

<u>+ 12       + 12</u>

100 = m

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3 years ago
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Calculate the area of the triangle
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Answer:

30

Step-by-step explanation:

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