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3 years ago

Which pair of numbers is opposite? Select all that apply. A. |–6| and –6 B. |–6| and 6 C. 6 and 16 D. 6 and –6 E. 0 and 6

Mathematics

1 answer:

wolverine [178]3 years ago

3 0

Answer:

B and D

Step-by-step explanation:

the opposite of -6 is positive 6

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Convert theta = 3pi/4 to rectangular form

Salsk061 [2.6K]

Ф = 3π/4. Transform it into Rectangular (or Cartesian) form .

The coordinates of Ф are x ,y in rectangular form ==> so:

tan(Ф) = y/x and y=x . tan(Ф) ==> y= x. tan(3π/4). we know that tan(3π/4)= - 1

Hence y = - x

8 0

3 years ago

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What is the measure if each interior angle of a 15-gon

olya-2409 [2.1K]

Answer:

The sum of the interior angles of the 15-gon $=\:2340^0$

Each interior angle of the regular polygon $=\:156^0$

Step-by-step explanation:

As we know that

In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,

The number of triangles thus formed would always 2 LESS than the number of sides.

The sum of measure of the angles of any triangle is 180°.

Thus,

The sum of the interior angles of the 15-gon will be:

$13\:\times\:180\:=\:2340^0$

Also

15-gon is regular, it means this total $2340^0$ is shared in equal proportion among the 15 interior angles.

And

Each interior angle of the regular polygon will be: $\frac{2340^{0} }{15}=156^{0}$

Therefore, we conclude that:

The sum of the interior angles of the 15-gon $=\:2340^0$

Each interior angle of the regular polygon $=\:156^0$

Keywords: regular polygon, 15-gon, triangle

Learn more about polygon from brainly.com/question/11932357

#learnwithBrainly

3 0

3 years ago

Anybody know how to do # 14, 15, and 16? Would also be nice if yall told me if any of these were wrong

mote1985 [20]

Step-by-step explanation:

1. Right

2. Right

3. Right

4. Right

5. Right

6. Right

7. Its not properly visible sorry for this.

8. Its wrong

$(\frac{1}{3} ) {}^{2} = \frac{1}{9}$

9. Right

10. Its wrong

$0.5 {}^{3} = 0.125$

11. Right

12. Its wrong.... Bcz square of minus is plus

$- 9 {}^{2} = 81$

13. Right

14. According to the BODMAS rule..

$15 - 7 \times 2 + {2}^{3}$

$15 - 14 + 8$

$1 + 8 = 9$

15.

$(11 - 8) {}^{2} - 2 \times 6$

$3 {}^{2} - 12$

$9 - 12 = - 3$

16.

$12 + \frac{ {9}^{2} }{3}$

$12 + \frac{81}{3}$

$12 + 27 = 39$

<h3>Hope this helps u </h3>

... ✌️❤️

7 0

3 years ago

Hellllllllllllllllllllllllllllllllllllllllpppppppppppppppppppp

Cerrena [4.2K]

Answer:

A) 52

Step-by-step explanation:

Each answer, when you divide, all equal to 52

6 0

3 years ago

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A parabola intersects the x-axis at x=3 and x=9 what is the x-coordinate of the parabola's vertex?

KiRa [710]

Here we are given the x intercepts at x=3 and x=9

So let us try to make quadratic equation for this using given information.

We have factors in the form (x-a)(x-b)

where a and b are x intercepts given to us.

So rewriting in factored form:

$y=(x-3)(x-9)$

Now let us simplify it:

$y=x^{2}-12x+27$

Let us find the vertex now,

For a quadratic equation of the form:

$y=ax^{2}+bx+c$

For x coordinate , we have the formula,

$x=\frac{-b}{2a}$

So using this formula for our equation,

$x=\frac{-(-12)}{2(1)}$

So x = 6

Answer: The x-coordinate of the parabola's vertex is 6.

7 0

3 years ago

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