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4 years ago

This afternoon, Sara noticed that the number of the page assigned for homework is divisible by both 12

Mathematics

1 answer:

max2010maxim [7]4 years ago

7 0

Answer:

Step-by-step explanation:

Well, 12/12=1, which I guess is the smallest number we can get, and 12 is divisible by 2 too.

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For what values of θ, −π ≤ θ ≤ π, is y = tan θ undefined?

pogonyaev

Answer:

The answer is II and IV ⇒ the 3rd answer

Step-by-step explanation:

* lets check the domain of angle Ф

∵ -π ≤ Ф ≤ π

∵ y = tanФ

∵ tanФ = sinФ/cosФ

* The effective term which makes tanФ undefined is cosФ

- If cosФ = 0, than tanФ will be undefined

* Lets check the angles that have cosФ = 0

∵ The unit circle intersect x-axis at point (1 , 0) and (-1 , 0)

∵ The unit circle intersect y-axis at point (0 , 1) and (0 , -1)

∵ cosФ = x-coordinates of the points

∵ The points of intersection with the y-axis have x- coordinates = 0

∴ The angles on the y-axis have cosФ = 0

* The angles on the +ve part of y-axis are π/2 and -3π/2

The angles on the -ve part of y-axis are -π/2 and 3π/2

∴ The tan of π/2 , 3π/2 , -π/2 , -3π/2 undefined

* In the problem

I. -π ⇒ defined ⇒ on the -ve part of x-axis

II. -π/2 ⇒undefined

III. 0 ⇒ defined ⇒ on the +ve part of the x-axis

IV. π/2 ⇒ undefined

V. π ⇒ defined ⇒ on the -ve part of x-axis

∴ The answer is II and IV ⇒ the 3rd answer

3 0

3 years ago

Help me please ( on the image )

Mrac [35]

Answer:

$\frac{\pi}{3}$ radians

Step-by-step explanation:

Number of hours on a clock = 12

Since, measure of a circle at the center = 360°

Measure of central angle formed by the arc between each number (representing hours) = $\frac{360}{12}$

= 30°

Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°

= 120°

Therefore, angle measure in radians = $\frac{\pi }{360}\times (120^0)$

= $\frac{\pi }{3}$

Angle formed by the hands of the clock at 8:00 = $\frac{\pi}{3}$ radians

6 0

3 years ago

Find the slope of f(x)=5x-4

frosja888 [35]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Yo! if you are wanting to be on the nice list answer this question PLEASE!!!!

belka [17]

See picture attached

8 0

3 years ago

The table shows the profit and loss of the after -school snack stand write each profit as a positive number and each loss a nega

kiruha [24]

Answer:

Profit

7.50

4.50

Loss

-3.50

-6.00

Step-by-step explanation:

Here, we want to write each profit as a positive number and each loss as a negative number

thus, we have that;

Profit;

7.50

4.50

Loss;

-3.50

-6.00

7 0

3 years ago