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1 year ago

In which set(s) of numbers would you find the number

Mathematics

1 answer:

balu736 [363]1 year ago

3 0

Answer:

A, C

Step-by-step explanation:

Rational: Yes, because it is a terminating decimal, and is thus rational.

Real: Yes, all rational numbers are real.

Irrational: No, because it is rational.

Integer: No, because its fractional part is nonzero.

Whole: No, because it is not an integer.

Natural: No, because it is not an integer.

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Prove that sin20sin40sin60sin80=3/16

never [62]

We'll use the following properties of sine and cosine to prove this:

$sin(a)\cdot sin(b) = \frac12(cos(a-b) - cos(a+b))$

$cos(a)\cdot cos(b) = \frac12(cos(a+b) + cos(a-b))$

$cos(180+a) = cos(180-a)$

Then it's just a matter of filling it in...

sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =

1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =

1/8(1 - cos160 - cos120 + cos200) =

1/8(1 - cos160 - cos120 + cos160) =

1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16

5 0

3 years ago

Is 16=3 one, no, or many solutions?

elixir [45]

Answer:

No solutions; parallel

Step-by-step explanation:

The equations x=16 and x=3 both have a slope of 0. So when graphed, they would be parallel and there are no solutions between parallel lines.

3 0

3 years ago

Can someone help me with this? Plz.<br><br> Solve the quadratic equation 2x^2-4x-1=0

Mila [183]

You have to use the quadratic formula to solve this. The zeros of this quadratic are 2 + sqrt2/2 and 2 - sqrt2/2, which in "real" numbers is 1.707 and .2928

6 0

2 years ago

Factor the quadratic expression as the product of two binomials x^2-3x-10

vovikov84 [41]

X^2+2x-5x-10
x(x+2)-5(x+2)

(x-5)(x+2)

6 0

3 years ago

What is the mean of 13,6,8,6,15

Luden [163]

Hey there!

To start, the mean of the answer is also known as the average value of a set of numbers. This is calculated by dividing the sum of the set by the total amount of numbers.

In this case the sum of all the numbers is 13 + 6 + 8 + 6 + 15 which is equal to 48.

Now, divide 48 by the total number of numbers in the set: 48/5 = 9.6

Your final answer should be 9.6, or you can leave it in fraction form as 48/5.

Hope this helps!

4 0

2 years ago

Read 2 more answers