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3 years ago

Use the unit circle to find the value of tan (-180°).

1 answer:

8 0

In order to evaluate the tangent function "visually", you have to draw a vertical line tangent to the circle (i.e. the line x=1), and extend the radius until it meets that line.

Since the angle -180° makes you land on point (-1,0), if you extend the radius you'll meet the vertical line at point (1,0).

The tangent is the y-value of this point, and thus it's zero.

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Of the 100 entries in a costume contest, 39 entrants were dressed as heroes and 45 entrants were wearing a mask. If 21 entrants

ehidna [41]

Correct question with correct options has been attached

Answer:

Step-by-step explanation:

Let C represent those dressed as heroes and let B represent those wearing mask

Thus;

n(C) = 39

n(D) = 45

We are told that 21 entrants were dressed as heroes wearing a mask.

Thus; n(C n D) = 21

We are also told that there were a total of 100 entries.

Thus, n(T) = 100

Now, number of entrants neither dressed as heroes nor wearing a mask is given by;

n(T) - n(C u D)

n(C u D) = n(C) + n(D) - n(C n D)

n(C u D) = 39 + 45 - 21

n(C u D) = 63

Thus;number of entrants neither dressed as heroes nor wearing a mask is: 100 - 63 = 37

3 0

3 years ago

Uche is a cartographer. He picks a scale to fit a map of India onto a page of an atlas. The page is 121212 by 121212 inches, wit

julsineya [31]

The scale ratio of a point A to another point B is the division of the length of B by the length of A. The best equation that models the situation is: $10.5k= 3214$

The page dimension is:

$Length = 12$

$Width = 12$

The length and the width of Uche's book are equal; this means the pages of Uche's book have the shape of a square

The margin of 0.75 on either sided means the usable dimension is:

$Length = 12 - 2 * 0.75 =10.5$

The dimension of India is:

$Length = 3214$

$Width =2933$

The longest side in India's dimension is:

$Longest = 3214$

From Uche's book, the longest dimension is:

$Longest = 10.5$

So, the scale equation is:

k * longest length of Uche's book = longest side of India

This gives:

$k * 10.5 =3214$

$10.5k =3214$

Read more about scale ratio at:

brainly.com/question/16192120

3 0

3 years ago

Two more than the product of a number and 6 is 8

solniwko [45]

Answer: 6n + 2 = 8

Step-by-step explanation:

2 more means add but due to order of operations, you do multiplication first. a number is represented by n. 6n means 6 x n. Then add 2 to get 8. You can sub in 1 for n and it will be solved.

4 0

3 years ago

The stem-and-leaf plots compare the ages of 30 actors and actresses at the time they won an award.

mr Goodwill [35]

Answer:bfhhfggnnghjgnnhhghjhjmjhkm

Step-by-step explanation:

7 0

3 years ago

In an election, ethan got 5 fewer votes than christohper,who got 3 more votes than olivia, who got 4 fewer votes than Ava.

Zina [86]

Answer:

110 votes

Step-by-step explanation:

110 votes

8 0

3 years ago