In which quadrants is tangent positive?
A. II and IV
OB. I and III
OC. I and II
OD. I and IV

Answers

Answer 1
B. tangent is positive in quadrants 1 & 3
Answer 2

The quadrants in which the tangent is positive are I and III.

Option B is the correct answer.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Tangent is defined as the ratio of the opposite side to the adjacent side of a right triangle.

It is positive when the opposite side and the adjacent side are both positive or both negative.

In the first quadrant (I), both the opposite and adjacent sides are positive, so the tangent is positive.

In the second quadrant (II), the opposite side is positive and the adjacent side is negative, so the tangent is negative.

In the third quadrant (III), both the opposite and adjacent sides are negative, so the tangent is positive.

In the fourth quadrant (IV), the opposite side is negative and the adjacent side is positive, so the tangent is negative.

Therefore,

The quadrants in which the tangent is positive are I and III.

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Related Questions


Find - 7.8 + (- 12) + (-82.3).
O 102.1
O – 102.1
0 -91.3
O-62.5

Answers

Answer:

-102.1

Step-by-step explanation:

When adding negative numbers, act as if you are subtracting that same number, but in its positive form.

So in reality, you could rewrite the equation as: (-7.8) - 12 - 82.3 = -102.1

It costs $3.00 to rent a boat on the lake for hour. Select ALL the statements that correctly match this ratio.
4
3
- of a hour costs $9.00
4
2 hours costs $18.00
1 hour costs $12.00
1
2
hour costs $6.00

Answers

2 hours costs 6 dollars is the only statements that is true

--

simply add 3.00 to 3.00 because its 2 hours

or if it was half an hour simply add 1.50 because half of 3.00 is 1.50

Anybody know this? Please and thankyou!

Answers

Answer:

log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]

Step-by-step explanation:

log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]


If you vertically compress the linear parent function, f(x) = x, by a factor of 2,
what is the equation of the new function?

Answers

Answer:

f(2)=x

Step-by-step explanation:

Number one you did not give enough information for me to solve the question but from what you did provide I got the answer which is provided above

h(x) = (x2 − 49)(x + 4)

Answers

Answer:

h(x) = x³ + 4x² - 49x - 196

Step-by-step explanation:

h(x) = (x² - 49)(x + 4) <== distribute

h(x) = x²(x) - 49(x) + x²(4) - 49(4)

h(x) = x³ - 49x + 4x² - 196 <== rewrite in standard form (descending degrees)

h(x) = x³ + 4x² - 49x - 196

Hope this helps!

Solve this pls explain all steps for 22.5 = 1.5x

Answers

22.5 = 1.5x

x = 22.5/1.5

x = 15

hope it helps...!!!

Answer:

x = 15

Step-by-step explanation:

1.5x = 22.5

x = 22.5/1.5

assuming your finding x

Calculus, A) find the slope of the line
B) interpret the slope

Answers

Answer:

- [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Slope of the line indicate how fast ( or slow ) the line is going up or down

help me please i need help

Answers

Answer:

B. 11

Step-by-step explanation:

Hope this helps! ;-)

Answer:

11

Step-by-step explanation:

15-12/3

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

15-4 = 11

How much should you invest at 3.7% simple interest in order to earn $70 interest in 11 months?

Answers

Step-by-step explanation:

in this condition we are given simple interest time and rate

so principal is missing so we should use the formula of principal that is

P=I×100/T×R

but we should convert that month in to years and we convert it by dividing it by 12.

Which is in slope intercept form? Any fractions must be in simplest form.
A. 4y = -6x + 8
B. y = -6/4x+8/4
C. y = -3/2x+2
D. 6x + 4y = 8

Answers

Answer:

B and C are both in slope-intercept-form.

Step-by-step explanation:

Slope Intercept Form is --> y = mx + b, where m is the slope, and b is the y-intercept.

Both B and C have a slope (-6/4 for B, -3/2 for C) and both have a y-intercept (8/4 or 2).

I hope this helps. Please mark me brainliest!

A rectangle measures 2(3x - 1) cm by (2x + 3) cm. If its perimeter is 98 cm what are the dimensions of this rectangle?​

Answers

Answer:

the dimensions of the rectangle are 34cm and 15cm

Step-by-step explanation:

proof:

p= (2 × 34) + (2 × 15)

=68 + 30

= 98

hope this helps!!

Answer: 34x15

Step-by-step explanation:

A rectangle


Knowing the properties of a rectangle, the opposite sides are equal and parallel.

Determine formula

Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]

Solve for X

Side 1:

[tex]((2(3x-1))*2)[/tex]

[tex]((6x-2)*2)[/tex]

[tex](12x-4)[/tex] simplified

Side 2:

[tex]((2x+3)*2)[/tex]

[tex](4x+6)[/tex] simplified

Solve:

[tex](12x-4) + (4x+6) = 98[/tex]

[tex]16x+2=98[/tex]

[tex]16x=96[/tex]

[tex]\frac{16x}{16} = \frac{96}{16}[/tex]

[tex]x = 6[/tex]

Substitute x

[tex]2(3(6)-1) = 34[/tex]

[tex](2(6)+3) = 15[/tex]

The dimensions of this rectangle are 34x15.

Find AC.

brainly is forcing me to make this longer but its just that

Answers

Answer:

24.49 units

Step-by-step explanation:

It si NOT a right triangle, so you'll have to use law of sines

angle C = 180 - 45-75 = 60 degrees

30 / sin60 =  AC / sin 45

AC = 30 * sin 45 / sin 60 = 24.49 units

Equation for a line perpendicular to 3y-9x=9 and passing through the point(-3,2)

Answers

Answer:

Step-by-step explanation:

3y-9x=9

3y-9x+9x=9+9x

3y=9x+9

y=3x+3

If a line is perpendicular to an equation, the slope is flipped.

So, 3x would equal to -3x.

The final equation is y=-3x+3

After rolling a fair 20-sided die 200 times The observed or experimental probability of rolling a 20 was 25% what will happen to the probability of rolling a 20 if the dye is ruled 10,000 more times

Answers

Answer:

Step-by-step explanation:

The theoretical probability of getting a 20 in 1 throw is 1/20 = 5%.

The more times you roll the dye the closer the experimental probability moves to the theoretical.

So  the probability will get  less than 25% and get closer to the theoretical 5%.

If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.

We have,

The probability of rolling a 20 on a fair 20-sided die is 1/20 or 0.05.

If the die is rolled 200 times and the observed probability of rolling a 20 is 25%,

We can calculate the number of times a 20 was actually rolled as follows:

Number of times a 20 was rolled

= Observed probability × Number of rolls

= 0.25 × 200

= 50

So, out of 200 rolls, 20 were rolled 50 times.

Now, if the die is rolled 10,000 more times, we can use the law of large numbers to expect the experimental probability of rolling a 20 to approach the true probability of 0.05.

The expected number of times a 20 will be rolled in 10,000 rolls is:

The expected number of times a 20 will be rolled

= Probability of rolling a 20 × Number of rolls

= 0.05 × 10,000

= 500

Therefore,

If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.

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If x-1/-3=y-2/2k=z-3/2 and x-1/3k=y-5/4=z-6/-5 are perpendicular, find the value of k

Answers

I believe the value of k = 450

A jar contains only dimes and nickels. The total number of coins in the jar is
15
. The total value of the coins is
$
1.00
. How many of each type of coin are in the jar?

Answers

Answer:

5 dimes and 10 nickels

Step-by-step explanation:

0.1d + 0.05n = 1

d + n = 15

d + 0.5n = 10

d + n = 15

0.5n = 5

n = 10

d + n = 15

d + 10 = 15

d = 5

Answer: 5 dimes and 10 nickels

(d) develop a questionnaire for the based on the research under the study (5 marks) QUESTION TWO (10 MARKS) A marketing company which specializes in the sale of mobile phones has engaged you to investigate into what influences customers in the purchase of its wide range of phones. In your analysis of your administered questionnaires, you performed a regression analysis of certain features and benefits of the phones on customer purchase. Use the summary of the regression output in table 1 to answer the following questions Table I Models Unstandardized Coefficients Standardized Coefficients Sig (Significant) B Standard error Beta (Constant) 1.06 727 0.000 Shape 0.124 0.091 495 Colour 0.217 319 0.003 Sine 0.323 0.069 018 0.020 Name -0.429 0.012 4.023 0.102 Dependent Variable: Customer Purchase Required a. At 95% confidence level, interpret your data with respect to the objectives of the study (3 marks) b. From the analyzed data, what recommendation(s) will you make to the marketing company? (3 marks) c. What would be your answer if the analysis was performed at 99% confidence level (3 marks) dWhich variable makes the greatest impact or influence on customer purchase​

Answers

Answer:

wait who you again have we met before wait what

Step-by-step explanation:

I dont know you I dont help strangers oh yea can i get the 4 for 4 from wendys

Using basic geometry, solve sin 105°​

Answers

Answer:

See below

Step-by-step explanation:

sin ( 60 + 45) = sin60 cos 45  + cos45 sin60

                      = sqrt3 / 2 * sqrt2/2   + sqrt2/2 * 1/ 2

                        sqrt6/4    + sqrt 2/ 4

                          (sqrt6 + sqrt 2) / 4

Susan is going to watch a movie in her collection she has 5 action movies 4comedies and 3 dramas she will randomly select one movie what is the probability tagt the movie she selects is not drama hurry please

Answers

Answer:

9/12 or 75%.

Step-by-step explanation:

Let's first add the choices all up.

5+4+3= 12.

We have 12 movie choices in total.

Now, we know that we have 3 drama movie choices...so the chance we will choose drama is 3/12, but we are not finding that.  We want the chance she will NOT choose drama, so that would be 9/12.

*Since the chance she will choose drama is 3/12, the chance she will not choose is 9/12. 9+3 is 12, the total amout.*

Please help me find the answer to:
12x^5 ÷ 3x^2

Answers

Graph for 12*X^5/ (3*X^2)

Two vertices of a right triangle have coordinates (0,0) and (4.0), as plotted on the grid below. The hypotenuse of the triangle is 8 units long.
(0.6)
(4.0)
if the triangle's third vertex has coordinates (0,y), which is a possible value of y?
02
0 4√2
043

Answers

Answer:

y=2

Step-by-step explanation:

due to diagram have done the steps in the image

i need help with 8th grade math please hurry and correct answer please 40 points

Answers

Answer:

2664.3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 πr³

Multiply the radius (which is the diameter divided by 2), 8.6 by itself 3 times, and them multiply it by pi and 4/3 to achieve a volume of 2664.31 or aproximatley 2664.3.

Answer:

v=59 m3 i think if it helps please mark brainliest

can you help this is hard

Answers

Answer:

y=1/2x+1= A

y=-2x-4= C

x-2= E

y=-3= F

y=1/2x+3.5=B

I hope this helps

Step-by-step explanation:

Which set of transtormations results in two polygons that are similar but not congruent?

Answers

Answer is Dilation
Reason; Dilation changes the figure size to bigger or smaller so it is not congruent.
Translation, rotation and reflection transformations are congruent

3) Which of the following is greater than 2?
a)3/4 + 1 1/8
b)8/6 +
9/12
c) 13/20 + 11/12

Answers

The correct answer is b

Select the correct answer. Consider the given function. 5, x < -2 3, 2 f(x) = 0, 0≤x≤2 -3, 2 Which graph represents the given function?

help!! ​

Answers

< or > = open circle≤ or ≥ = closed circle

⇒ open circle at (-2, 5) with a line to the left

⇒ closed circle at (-2, 3) with a line segment to an open circle at (0, 3)

⇒ closed circle at (0, 0) with a line segment to an open circle at (2, 0)

⇒ closed circle at (2, -3) with a line to the right

3. Can you form a right triangle with the three lengths given? Why or why not?
4 m, 6 m, 7 m
Oyes; 42 +6² * 7²
no; 4 + 6 # 7
yes; 4 + 6 = 7
Ono; 4² +62 * 7²

Answers

Answer:

No

Step-by-step explanation:

To get if values can create a right angled triangle use the pythogras theory a squared plus b squared equals c squared

So in this case 4 squared plus 6 squared don't equal to 7 squared

Find the lateral area of the prism.
11cm
4cm
4cm

Answers

Answer:

120 cm squared

Step-by-step explanation:

1.the bases in this case are in blue,these are not included in lateral surface area.

first we must find the area of the top & bottom squares.

(4x4=16)

Then the side rectangles

(11x4=44)


then We add,there are two squares and two rectangles included in the lateral surface area.So we can do 16x2=32 and 44x2=88.

now that we have all our measurements we can add these numbers

88+32=120 cm squared

what is 58.8 in word form

Answers

Answer:

It fifty-eight and eight tenths

Step-by-step explanation:

Answer: fifty-eight and eight tenths

Step-by-step explanation:

The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets

Answers

Answer:

The two formats used in an observation checklist are:

A. Video recording and audio recording

B. Performance profiles and Tallies

C. Tallies and video recording

D. Performance profiles and SMART Targets

#CarryOnLearning

Answer:

A. Video recording and audio recording

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

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