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3 years ago

Which of the following pairs have the first function positive and the second function negative in the third quadrant?

Mathematics

2 answers:

Oduvanchick [21]3 years ago

8 0

Orrect answer is <span>B.) tan and cos </span>

Nadya [2.5K]3 years ago

7 0

Answer:

Tan and cos

Step-by-step explanation:

In the third quadrant, tan is positive and cos is negative. Quadrant is a circle divided into four potion in which in each portion some of the trigonometry function are positive and others negative. This is important in determining and converting any negative angle to positive value. The value of the angle in the third quadrant is represented as (180+theta) where theta is the angle given in question.

Note that all the trigonometry values are all positive in the first quadrant thereby making tan positive in the first quadrant. Also, the only value positive in the third quadrant is tan making both sin and cos negative.

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Negative 6 equal 2/9 x

Roman55 [17]

Step-by-step explanation:

-6 = 2/9 x

2/9x = -6

x = (-6)×9/2

= -27

4 0

3 years ago

the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

3 years ago

What is the probability that a point chosen at random in the given figure will be inside the smaller square?

Aliun [14]

I have to interpret that:

1) the smaller square has side length = 3 cm

2) the bigger square has side length = 5 cm

3) the smaller square is completely inside the bigger square.

4) the points cannot be outside the bigger square

Under those assumptions the probability that a point is inside the smaller square is

P (inside the smaller square) = area of the smaller square / area of the bigger square

P (inside the smaller squere) = (3cm)^2 / (5cm)^2 = 9 / 25

Answer: 9 / 25

8 0

3 years ago

Find all the missing elements:

pentagon [3]

Answer:

B = 34.2°

C = 58.2° or 121.8°

c= 10.6

Step-by-step explanation:

Step 1

Finding c

We calculate c using Pythagoras Theorem

c²= a² + b²

c = √a² + b²

a= 8, b = 7

c = √8² + 7²

c = √64 + 49

c = √(113)

c = 10.630145813

Approximately c = 10.6

Step 2

Find B

We solve this using Sine rule

a/sin A = b/sin B

A = 40°

a = 8

b = 7

Hence,

8/sin 40° = 7/sin B

8 × sin B = sin 40° × 7

sin B = sin 40° × 7/8

B = arc sin (sin 40° × 7/8)

B ≈34.22465°

Approximately = 34.2°

Step 3

We find C

Find B

We solve this using Sine rule

b/sin B = c/sin C

B = 34.2°

b = 7

c = 10.6

C = ?

Hence,

7/sin 34.2° = 10.6/sin C

7 × sin C = sin 34.2 × 10.6

sin C = sin 34.2° × 10.6/7

C = arc sin (sin 34.2° × 10.6/7)

C = arcsin(0.85)

C= 58.211669383

Approximately C = 58.2°

Or = 180 - 58.2

C = 121.8°

5 0

2 years ago

Read 2 more answers

Maria goes to Applebee's with her 2 friends. They each order an entrée, which costs $15 each, and a soda, which costs $3.50 each

Leona [35]

Answer:

Part A: The total is 57.58

Part B: 19.19 each

Step-by-step explanation:

Part A: 15(3) +3.50(3)=55.50

55.50 plus the 3.75% tip (not really addition i dont know how to find a percentage so i looked that part up) but it come out to $57.58

Part B: 57.58 divided by 3 is $19.19 ( I do 3 because Maria and 2 more friends)

Hope it helps and that it is 100% correct dont come at me if something is wrong with my math

6 0

3 years ago