Answer:
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Step-by-step explanation:
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1/2r -3= 3 (4-3/2r) is to be solved for r.
I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.
Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .
Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:
r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r
Now expand the right side, using the distributive property of
r - 3 = 24 - 9r
Regrouping so as to combine like terms:
10r = 30
Solving for r: r = 30/10 = 3
The value of r that satisfies this equation is 3
Answer:
Correct answer: sin 2Θ = - 24/25
Step-by-step explanation:
If under the standard position you think that the first arm (side) belongs to the positive direction of the x axis and the second one passes through a given point then it is:
if we form a right triangle with sides 3 and 4 then the hypotenuse is 5.
sin Θ = 4/5 and cos Θ = - 3/5
we know that the formula for double the value of the angle is:
sin 2Θ = 2 sinΘ cosΘ = 2 · 4/5 · ( - 3/5) = - 24/25
sin 2Θ = - 24/25
God is with you!!!
Answer:
Since there are already 2 angles shown, which are 48 and 90 (indicated by the square in the bigger triangle, we can set up an equation.
48 + 90 + y = 180
138 + y = 180
-138 + 138 + y = 180 - 138
y = 42°
