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alexdok [17]
2 years ago
8

Please help +25 points

Mathematics
1 answer:
mestny [16]2 years ago
8 0
The answer is D.
Hope I helped
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What are the coordinates of the terminal point corresponding to = –120? Use the Pythagorean theorem to prove that this point lie
Vikentia [17]
We know that
the unit circle has a radius equals 1 unit

-120°------> is an angle belong to the III quadrant
so
the x and y coordinates will be negative
x=r*cos ∅
y=r*sin ∅
where
r=1
and 
∅=180-120-----> ∅=60°

therefore
x=(1)*cos 60°-----> x=1/2-----> x=-1/2   (remember x is negative)
y=(1)*sin 60°-----> y=√3/2-----> y=-√3/2  (remember y is negative

<span>let's apply the Pythagorean theorem
</span>x²+y²-----> (-1/2)²+(-√3/2)²----> (1/4)+(3/4)-----> 1----> is ok because 1 is the radius of the unit circle

the answer is
the coordinates of the terminal point are (-1/2,-√3/2)


8 0
3 years ago
Jasper Wrote a formula for the area of triangle RST in terms of only the sides and angles. His steps are shown.
Alex777 [14]

Answer:

replace r with t

Step-by-step explanation:

correct on plato

5 0
3 years ago
Two lines, a and b, are represented by the equations given below:
ElenaW [278]

An system of equations is only true if it satisfies both equations

<h2>c) (-4, -8), because the point satisfies both equations  </h2>
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3 years ago
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Find the greatest number of children to whom 125 pens 175 pencil can be divided equally.
Nataliya [291]

Answer:

25 children

So , each child will get 25 pens and 7 pencils

You have to find the highest common factor of 125 and 175 which is 25 and then you have to multiply it by those two numbers to find how may pens and pencils will be given to 1 child

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6 0
3 years ago
Suppose it is known that for a given differentiable function y=f(x), its tangent line (local linearization) at the point where a
AleksandrR [38]

Answer:

y(-4) = 5

y'(-4) = -7

Step-by-step explanation:

Hi!

Since the tangent line T and the curve y must coincide at x=-4

y(-4) = T(-4) = 5

On the other hand, the derivative of the curve evaluated at -4 y'(x=-4) must be the slope of the tangent line. Which inspecting the tangent line T(x) is -7

That is:

y'(-4) = -7

6 0
3 years ago
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