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Alexandra [31]
3 years ago
10

Suppose you draw a line from the center of a clock face to the number 12. When the minute hand gets to 3 on the clock face, the

line and minute hand form a 90 degree angle. What angle does the line and the minute hand make when the minute hand is on 2?
Mathematics
2 answers:
Deffense [45]3 years ago
8 0
It makes an acute angle.
sweet [91]3 years ago
3 0
Just divide 90 by three so whe it hits 3 its 90 then 2 is 60 degrees and the one is 30 degrees
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Verdich [7]

Answer:

The solutions of the original equation are x=-5 and x=-2

Step-by-step explanation:

we have

(x+3)^2+(x+3)-2=0

Let

u=(x+3)

Rewrite the equation

(u)^2+(u)-2=0

Complete  the square

u^2+u=2

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u^2+u+1/4=9/4

rewrite as perfect squares

(u+1/2)^2=9/4

square root both sides

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the solutions are

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<em>Alternative Method</em>

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

(u)^2+(u)-2=0

so

a=1\\b=1\\c=-2

substitute in the formula

u=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}

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u=\frac{-1\pm3} {2}

u=\frac{-1+3} {2}=1

u=\frac{-1-3} {2}=-2

the solutions are

u=-2,u=1

<em>Find the solutions of  the original equation</em>

For u=-2

-2=(x+3) ----> x=-2-3=-5

For u=1

1=(x+3) ----> x=1-3=-2

therefore

The solutions of the original equation are

x=-5 and x=-2

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