Geometry

Steps and an explanation would be much appreciated!

[tex]GeometrySteps and an explanation would be much appreciated![/tex]

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Geometry

Steps and an explanation would be much appreciated!

[tex]GeometrySteps and an explanation would be much appreciated![/tex]

Explanation:

There are three forces on the plank. T₁ pulling up at point P, T₂ pulling up at point Q, and W pulling down at point C.

Let's say the length of the plank is L.

Sum of forces in the y direction before rope II is moved:

∑F = ma

150 N + 150 N − W = 0

W = 300 N

Sum of moments about point P after rope II is moved:

∑τ = Iα

(T₁) (0) − (300 N) (L/2) + (T₂) (3L/4) = 0

-(300 N) (L/2) + (T₂) (3L/4) = 0

-(300 N) (1/2) + (T₂) (3/4) = 0

-150 N + 3/4 T₂ = 0

T₂ = 200 N

Sum of forces in the y direction:

∑F = ma

T₁ + 200 N − 300 N = 0

T₁ = 100 N

x=S+bc/b+c

x=S−2ab/2(a+b)

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=S+bcb+c

Isolate the variable by dividing each side by factors that don't contain the variable.

x=S−2ab2(a+b)

Your answers seem great so far, except for a tiny issue: With the ionic symbols, try to get into the habit of using "+", with metals, like sodium, and try to use the integer first. So, for example, a potassium ion would be K^+, while an oxide ion would be O^2-

Let's take aluminium as an example I'll work through:

Aluminium, with it's atomic number of 13, will have an electronic configuration of 1s2 2s2 2p6 1s2 2p1. So it would have 2, 8, 3 electrons in the first three energy levels, respectively.

Usually, if an elemental atom has a valence electron (highest energy level electron) count less than 4, it almost always will lose electrons. Since aluminium has 3, it will also lose the electrons.

It loses the 3 valence electrons, and so will end up with 10 electrons.

Since the atomic number also tells how many protons it has, we know that an aluminium atom has 13 protons, which doesn't change.

Since the size of the charges of a proton and an electron are the same, with protons being positive and the electrons being negative, an aluminium ion would have a charge of +3, and the Ionic symbol would be Al^3+

Hope I helped! xx

um, they just are

Step-by-step explanation:

They are congruent

Step-by-step explanation:

They are cross through eachother right in the middle, so they are going to have the same exact angles