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3 years ago

Solve for x 2cos^2x-3cosx+1=0

Mathematics

1 answer:

marishachu [46]3 years ago

8 0

<span> x= Pi, x = 2pi/3, x = 4pi/3
That is the answer</span>

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Cos (x-<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D" id="TexFormula1" title="\frac{5}{6}" alt="\frac{5}{6}" align="ab

Degger [83]

Answer:

Solution given;

Cos (x- $\frac{5}{6}$ )= $\frac{\sqrt{2} }{2}$

Cos (x- $\frac{5}{6}$ )=Cos45°

equating corresponding value

(x- $\frac{5}{6}$ )=45°

x=45°+5/6

x=45.83°

5 0

3 years ago

Which number is less than -2 4/5 but greater than -3 1/5

Alex_Xolod [135]

If you need help with things like this, put the fractions into decimals.
A number that is less than -2.8 and greater than -3.2

A -3.5
B -3.666
C -2.5
D -2.875
The answer is C

5 0

3 years ago

Find the arc length for arcs of circles as follows:

Sauron [17]

Answer:

≈ 11.78 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{\frac{\pi }{4} }{2\pi }$ ( cancel 2π on numerator/ denominator )

= 15 × $\frac{\pi }{4}$

= $\frac{15\pi }{4}$

≈ 11.78 in ( to 2 dec. places )

6 0

2 years ago

Quadrilateral ABCD is inscribed in a circle with angle measures m∠A = (11x − 8)°, m∠B = (3x2 + 1)°, m∠C = (15x + 32)°, and m∠D =

dimulka [17.4K]

Answer:

No for all of the 4 values

Step-by-step explanation:

The sum of the internal angles of a quadrilateral is always 360°, so we have that:

m∠A + m∠B + m∠C + m∠D = 360

11x - 8 + 3x2 + 1 + 15x + 32 + 2x2 - 1 = 360

5x2 + 26x - 320 = 0

Solving the quadratic function using Bhaskara's formula, we have:

Delta = 26^2 + 4*5*320 = 7076

sqrt(Delta) = 84.12

x1 = (-26 + 84.12)/10 = 5.81

x2 = (-26 - 84.12)/10 = -11.01 (this value will generate negative angles, so it is not valid).

Now, finding the angles, we have:

m∠A = 11*5.81 - 8 = 55.91°

m∠B = 3*(5.81)^2 + 1 = 102.27°

m∠C = 15*5.81 + 32 = 119.15°

m∠D = 2*(5.81)^2 - 1 = 66.51°

As all these values are different from the values shown, the answer is No for all of them.

8 0

3 years ago

Decide of the three numbers can be the measures of the sides of a triangle.

Elina [12.6K]

I believe the correct answer is B

8 0

4 years ago