What is the average rate of change on the interval from 3 to 9?

What is the exact value of tangent (negative StartFraction pi Over 3 EndFraction)?

salantis [7]

Answer:

tg (-60°) = -√3

Step-by-step explanation:

We can solve this, using a calculator, but I would like you to understand this problem without the use of that.

This is trigonometry, so first we need to know the value of pi in trigonometry.

The value of π is equals to 3.14 but in this case, we need to take the value of π in degrees. This value is 180°.

Now, the following step is replace this value into the expression:

tg (-180/3) = tg (-60°)

So the actual value we are looking for is tangent of 60°. Tangent can be calculated using the expression with the sin and cosine so:

tg = sin/cos

so to get the value of tg 60°:

tg 60° = sin 60° / cos 60°

The value of sin 60° = √3/2, while the value of cos 60° = 1/2, so replacing both values above, we can get the value of tg 60°:

tg 60° = (√3/2) / (1/2) both 2 gets cancel out so:

tg 60° = √3 / 1

tg 60° = √3

As we want tg(-60) the real value would be:

tg (-60°) = -√3

So the answer would be option 1.

3 0

3 years ago

Read 2 more answers

A store sells hardcover books for $8 and paperback books for $5. You buy 7 books, represented by the equation x+y=7, where is th

ollegr [7]

Answer:

Total number of Hardcover books is TWO while the number of Paperback books is FIVE

Step-by-step explanation:

No. of hardcover book = x

No. of paperback book = y

Cost of one hardcover book = $8

Cost of one paperback book = $5

We are given that:

x+y=7 (Equation 1)

8x+5y=41 (Equation 2)

We can find out value of x and y by solving both equations simultaneously.

$Multiplying Equation 1 by 5:\\5x+5y=35\\8x+5y=41\\Subtracting both equations\\-3x=-6\\x=2\\\\According to Equation 1:\\x+y=7\\Putting value of x=2\\2+y=7\\y=5$

Hence, Total number of Hardcover books is TWO while the number of Paperback books is FIVE

7 0

4 years ago

PLS HELP ILL GIVE BRAINLIEST <3 HELP ASAPPPPP

Alex_Xolod [135]

Answer:

-3/2

Step-by-step explanation:

The slope goes down 3 and over 2.

4 0

4 years ago

I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 b

katen-ka-za [31]

Answer:

4:7 7 being to total number of marbles (part to whole ratio)

4 0

3 years ago

For a normal distribution with mean of 35 and standard deviation of 3, compute the following:

MArishka [77]

A. The empirical rule tells you that 68% of observations fall within one standard deviation of the mean for a normal distribution. [32, 38] = 35 ±3, so your interval is within one standard deviation of the mean.
68% of observations will fall between 32 and 38

B. The distribution is symmetrical about the mean, so half of the observations in part A will be below the mean.
34% of observations will fall between 32 and 35

C. The distribution is symmetrical about the mean, so half the observations fall above the mean.
50% of observations will fall above 35

D. The distribution is symmetrical about the mean, so half the observations will fall below the mean, 35. As in part B, 34% will fall between the mean and one standard deviation above the mean, 38. The sum of these percentages is 84%.
84% of observations will fall below 38

5 0

4 years ago