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andre [41]
3 years ago
6

I've done the method I'm good at, but can't seem to get the answer.

Mathematics
1 answer:
vredina [299]3 years ago
7 0

Answer:

0.42484

Step-by-step explanation:

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3. Three times a number is seven more than double the number. What is the number?
victus00 [196]

Answer:

7

Step-by-step explanation:

3 * 7 = 21

21 - 7 = 14

7*2 =14

3 0
3 years ago
Find the exact value of cot 330° in simplest form with a rational denominator.
Hoochie [10]

Answer:

\cot 330^{\circ} = -\sqrt{3}

Step-by-step explanation:

The cotangent function can be rewritten by trigonometric relations, that is:

\cot 330^{\circ} = \frac{1}{\tan 330^{\circ}} = \frac{\cos 330^{\circ}}{\sin 330^{\circ}} (1)

By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:

\sin 330^{\circ} = \sin (-30^{\circ}) = -\sin 30^{\circ} (2)

\cos 330^{\circ} = \cos (-30^{\circ}) = \cos 30^{\circ} (3)

By (2) and (3) in (1), we have following expression:

\cot 330^{\circ} = -\frac{\cos 30^{\circ}}{\sin 30^{\circ}}

If we know that \sin 30^{\circ} = \frac{1}{2} and \cos 30^{\circ} = \frac{\sqrt{3}}{2}, then the result of the trigonometric expression is:

\cot 330^{\circ} = -\frac{\frac{\sqrt{3}}{2} }{\frac{1}{2} }

\cot 330^{\circ} = -\sqrt{3}

6 0
3 years ago
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. Wh
olga2289 [7]
For the shirts it would 1 in 4 chance of getting the white shirt for the pants it would be 1 in 2 chance of getting the tan pants
4 0
3 years ago
An equation of the line tangent to y=sin x + 2cosx at (pi/2, 1) is?
Lina20 [59]

Answer:

B.   2x + y = pi + 1.

Step-by-step explanation:

y = sin x + 2 cos x

The slope of a line tangent is the derivative, so:

y' =  cos x - 2 sin x

At  (pi/2, 1) , substituting for x:-

cos pi/2 - 2 sin pi/2

= 0 - 2 * 1 = -2.

So the slope is - 2 and an equation  can be found by using the point-slope formula:

y - y1 = m(x - x1) so:

y - 1 = -2(x - pi/2)

y = -2x + pi + 1  

2x + y = pi + 1.

6 0
4 years ago
Find the product in simplest form.<br> Square root of 2x * square root of 8x^3
Alex17521 [72]

Step-by-step explanation:

= √2x × √8x³

= √(2.8x^4)

= √16x^4

= 4x²

6 0
3 years ago
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