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PilotLPTM [1.2K]
3 years ago
9

Plz answer this question:

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0

Yes, Lord Vader !

                                               2/3 x + 5   = 1/2

Multiply each side by  2 :       4/3 x + 10  =  1

Multiply each side by  3 :         4  x + 30  =  3  <== equivalent equation
                                                                                without fractions
 
Subtract  30  from each side:  4x             =  -27

Divide each side by  4 :            x              =  -27/4  =  -6.75 

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kaheart [24]

Total distance around a shape

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2 years ago
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What is the area of the shaded segment?
Whitepunk [10]

Answer:

6\pi-9\sqrt{3

Step-by-step explanation:

The area of a pie-slice shape can be found with the equation A=\pi nr^2/360 where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is \pi (60)(6^2)/360=6 \pi

Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is \sqrt{3}r^2/4 where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of 9 \sqrt{3}

Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: 6\pi-9\sqrt{3

8 0
3 years ago
(1+cos2x)/(1-cos2x) = cot^2x
sesenic [268]

We will turn the left side into the right side.

\dfrac{1 + \cos 2x}{1 - \cos2x} = \cot^2 x

Use the identity:

\cos 2x = \cos^2 x - \sin^2 x

\dfrac{1 + \cos^2 x - \sin^2 x}{1 - ( \cos^2 x - \sin^2 x)} = \cot^2 x

\dfrac{1 - \sin^2 x + \cos^2 x }{1 - \cos^2 x + \sin^2 x} = \cot^2 x

Now use the identity

\sin^2 x + \cos^2 x = 1 solved for sin^2 x and for cos^2 x.

\dfrac{\cos^2 x + \cos^2 x }{\sin^2 x + \sin^2 x} = \cot^2 x

\dfrac{2\cos^2 x}{2\sin^2 x} = \cot^2 x

\dfrac{\cos^2 x}{\sin^2 x} = \cot^2 x

\cot^2 x = \cot^2 x


8 0
3 years ago
Which two expressions are equivalent? A. 4(2 + x) and 4•2+2•x, B. 4+2 + x and (4 + 2)+x, C. 4•X + 2 and 4•(x+2), D. 4 / (2 - x)
kirill115 [55]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
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About \frac{3}{8}3 8 of the business calls that Ms. Rodriguez makes are long distance calls. How many business calls would you e
Elena L [17]

\frac{3}{8}x = 32

multiply both sides by the reciprocal

x = 85⅓

We would expect her to make about 85 business calls in a month.

Step-by-step explanation:

The equation means "3/8 of the unknown total is 32"

When we multiply 3/8 by its reciprocal, it becomes 1 and cancels on the left.

8/3 times 32 is a mixed number, so it is reasonable to round it to a whole number of calls.

.

I hope I read this question correctly. The coding for the fraction made it a bit confusing.

6 0
3 years ago
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