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3 years ago

What is the value of x?

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

4 0

THis is a hexagon and total of internal angles = 720 degrees
so x is 720 - 112 - 133 - 128 - 100 - 120 = 127 degrees answer

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Determine whether −2a3b3+15c38z3 is a monomial, binomial, trinomial, or other polynomial.

Flauer [41]

Monomial is the answer

4 0

2 years ago

Find all solutions of the equation: 2cos^2x-cosx=1

Art [367]

If you're using the app, try seeing this answer through your browser: brainly.com/question/3166243

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Solve the trigonometric equation:

$\mathsf{2\,cos^2\,x-cos\,x=1}\\\\ \mathsf{2\,cos^2\,x-cos\,x-1=0}$

Make a substitution:

$\mathsf{cos\,x=t\qquad (-1\le t\le 1)}$

and the equation becomes

$\mathsf{2t^2-t-1=0}$

Rewrite conveniently – t as + t – 2t, and then factor the left-hand side by grouping:

$\mathsf{2t^2+t-2t-1=0}\\\\ \mathsf{t\cdot (2t+1)-1\cdot (2t+1)=0}$

Factor out 2t + 1:

$\mathsf{(2t+1)\cdot (t-1)=0}\\\\ \begin{array}{rcl} \mathsf{2t+1=0}&~\textsf{ or }~&\mathsf{t-1=0}\\\\ \mathsf{2t=1}&~\textsf{ or }~&\mathsf{t=1}\\\\ \mathsf{t=\dfrac{\,1\,}{2}}&~\textsf{ or }~&\mathsf{t=1} \end{array}$

Substitute back for t = cos x:

$\begin{array}{rcl}\mathsf{cos\,x=\dfrac{\,1\,}{2}}&~\textsf{ or }~&\mathsf{cos\,x=1}\\\\ \mathsf{cos\,x=cos\,60^\circ}&~\textsf{ or }~&\mathsf{cos\,x=cos\,0} \end{array}$

Therefore,

$\begin{array}{rcl} \mathsf{x=\pm\,60^\circ+k\cdot 360^\circ}&~\textsf{ or }~&\mathsf{cos\,x=0+k\cdot 360^\circ} \end{array}$

where k is an integer.

Solution set:

$\mathsf{S=\left\{x\in\mathbb{R}:~~x=-\,60^\circ+k\cdot 360^\circ~~or~~x=60^\circ+k\cdot 360^\circ~~or~~x=k\cdot 360^\circ,~~k\in\mathbb{Z}\right\}}$

I hope this helps. =)

3 0

3 years ago

Pradeep is planning locations for her area members to vote. There are 44,832 people in the area and each location can hold 380 p

likoan [24]

Answer:

118 locations.

Step-by-step explanation:

44,832 / 380

= 117.98

3 0

4 years ago

Read 2 more answers

Solve: 4 = k/7 a. 24 b.11 c. 32 d. 28

Margarita [4]

Answer:

D. 28

Step-by-step explanation:

$4 = \frac{k}{7} \\\\28 = k$

8 0

4 years ago

Read 2 more answers

the points (4,-4) and (4,-6) lie on a circle with the radius of 1. what is the center point of the circle

ycow [4]

The centre point is given by;
$( \frac{ x_{2}+ x_{1} }{2} , \frac{ y_{2} + x_{1} }{2} )$
= $( \frac{4+4)}{2} + \frac{-4+(-6)}{2} )$
= $( \frac{8}{2} , \frac{-10}{2} )$
=(4, -5)

7 0

4 years ago