3 years ago

What is the value of a?

Mathematics

1 answer:

Lelu [443]3 years ago

3 0

It is the value of One

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Describe how to write 3x+2y=12 in function notation.assume that y represent the dependent variable.

GarryVolchara [31]

To write this function in function notation all you would need to do is rearrange the equation for y.

3x + 2y = 12

3x - 3x + 2y = 12 - 3x

2y = 12 - 3x

2y/2 = 12/2 - 3x/2

Y = 6 - 3/2 X or

Y = -3/2 X + 6.

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2 years ago

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Find the x-values that are solutions of the equation 5cot^2x-15=0

julia-pushkina [17]

First solve for the trig function 'cot'
$cot^2 x = \frac{15}{5} = 3$

Next take the sqrt of both sides (include plus/minus)
$cot x = \pm \sqrt{3}$

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

$tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}$

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

$x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}$

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2 years ago

What is 5 and 2/3 as an improper fraction?

OLga [1]

Answer:

17/3

Step-by-step explanation:

You would need to convert 5 into a fraction with the denominator 3, so 5 = 15/3. 15/3 + 2/3 = 17/3

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2 years ago

Mr. Vogel is riding the stationary bike at the gym. He completes 41 1/2 wheel rotations even 1/3 minute. what Mr Vogel's unit ra

Eva8 [605]

1/3times3=3/3 3/3 is the same as a whole so do 41 and 1/2 times 3 this gets you an answer of 124.5 meaning the unit 124.5x he makes 124.5 rotations per minute

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2 years ago

What is the volume of the figure?

Fynjy0 [20]

Volume of Cylinder

$V = \pi r^2 h$

$V = \pi \times (11~yd)^2 \times 9~yd$

$V = 1089 \pi~yd^3$

$V = 3421~yd^3$

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2 years ago