4 years ago

What is the cosine for a angle of 15 degrees?

Mathematics

1 answer:

elena-14-01-66 [18.8K]4 years ago

6 0

Answer:

0.965925826 = 0.97

Step-by-step explanation:

just put in the calculator >>> cos(15)

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Solving simultaneous equations with one quadratic, x^2+y^2=16 and y=x+3

Svetlanka [38]

If $y=x+3$ , then in the first equation you have

$x^2+(x+3)^2=x^2+(x^2+6x+9)=2x^2+6x+9=16$

Rewriting a bit, you get

$x^2+3x+\dfrac92=8$

$x^2+3x+\dfrac94+\dfrac94=8$

$\left(x+\dfrac32\right)^2=\dfrac{23}4$

$x=-\dfrac32\pm\dfrac{\sqrt{23}}2$

Now, since $y=x+3$ , you also get

$y=-\dfrac32\pm\dfrac{\sqrt{23}}2+3=\dfrac32\pm\dfrac{\sqrt{23}}2$

So, there are two solutions here:

$(x,y)=\left(-\dfrac32+\dfrac{\sqrt{23}}2,\dfrac32+\dfrac{\sqrt{23}}2\right)$
$(x,y)=\left(-\dfrac32-\dfrac{\sqrt{23}}2,\dfrac32-\dfrac{\sqrt{23}}2\right)$

7 0

3 years ago

The area of a square mirror is 64 in.² what is the length of the mirror?

Molodets [167]

Answer:

8 or B

Step-by-step explanation:

$\sqrt{64$ which is equal to 8