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gladu [14]
3 years ago
15

I'm a little stuck xD

Mathematics
2 answers:
Semmy [17]3 years ago
4 0
There are 180 degrees in a triangle when you add the measures of the angles together.  So...
102 + 39 + x = 180
141 + x = 180
x = 39
kap26 [50]3 years ago
3 0
It's 39 because a triangle adds up to 180. so you can add 39 and 102 and get 141 and subtract that from 180, getting 39. the missing angle
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Which of the following is a solution to 2cos2x − cos x − 1 = 0?
Pavel [41]

Answer:

Option A is correct.

Solution for the given equation is, x = 0^{\circ}

Step-by-step explanation:

Given that : 2\cos^2x -\cos x -1 =0

Let \cos x =y

then our equation become;

2y^2-y-1= 0           .....[1]

A quadratic equation is of the form:

ax^2+bx+c =0.....[2] where a, b and c are coefficient and the solution is given by;

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

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

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

Simplify:

y = \frac{ 1 \pm \sqrt{1+8}}{4}

or

y = \frac{ 1 \pm \sqrt{9}}{4}

y = \frac{ 1 \pm 3}{4}

or

y = \frac{1+3}{4} and y = \frac{1 -3}{4}

Simplify:

y = 1 and y = -\frac{1}{2}

Substitute y = cos x we have;

\cos x = 1

⇒x = 0^{\circ}

and

\cos x = -\frac{1}{2}

⇒ x = 120^{\circ} \text{and} x = 240^{\circ}

The solution set:  \{0^{\circ}, 120^{\circ} , 240^{\circ}\}

Therefore, the solution for the given equation  2\cos^2x -\cos x -1 =0 is, 0^{\circ}





8 0
4 years ago
Read 2 more answers
AlMarai, a beverage company is planning to change its juice package size. Currently, there are 9 ounces of juice in each package
Andre45 [30]

The percentage of more juices that will be in the new package is 35.71%

<h3>What are word problems?</h3>

Word problems in mathematics are things happening in our daily life and we can use mathematical concepts and arithmetic operations to put a solution to those things.

From the given information, it was stated that:

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Our objective is to find the percentage of more juice that will be in the new package.

The percentage of more juice in the new package will be:

\mathbf{=\dfrac{14 - 9}{14} \times 100 \%}

\mathbf{=\dfrac{5}{14} \times 100 \%}

= 35.71%

Learn more about word problems here:

brainly.com/question/21405634

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3 years ago
{(3,4)(5,8)(3,7)} is a function. True or false
Dmitry_Shevchenko [17]
True, it is a function because mainly the x and y values are the same;]
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4 years ago
Cost To Store : $110 Markup : 140%
eimsori [14]
If you are talking about $110 being increased by 140% then the answer is $264
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Right now, I am spending a lot of time listening to the voice of a particularly compelling character: the young Merlin. In the e
stiv31 [10]

Answer:

his inspiration was the owl outside his window.

Step-by-step explanation:

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