if csc θ = -5/4 on the interval (270°, 360°), find tan θ.

Answers

Answer 1
I believe the answer is 3
Answer 2

Value of tan θ on the interval (270°, 360°) = -4/3

What is Pythagoras theorem?

Pythagoras theorem states that in a right angled triangle, square of length of hypotenuse is equal to the sum of squares of lengths of other two sides, i.e. Perpendicular and base.

Given,

cosec θ = -5/4 on the interval (270°, 360°)

Given interval is on fourth quadrant.

Sine and cosecant are negative in fourth quadrant

cosec θ = -5/4

cosec θ = Hypotenuse/perpendicular

Comparing

Hypotenuse = 5

Perpendicular = 4

By Pythagoras theorem,

Base² = Hypotenuse² - Perpendicular²

Base² = (5)² - (4)²

Base² = 25 - 16

Base² = 9

Base = ±3

In fourth quadrant tangent is negative

tan θ = -4/3

Hence, -4/3 is the value of tan θ on the interval (270°, 360°).

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Related Questions

The diagram below shows a cement patio and a lawn. Both are rectangular in shape.
The length of the patio is 36 feet and its width is 13 feet. The length of the lawn is 28
feet and its width is 9 feet. What is the area of the cement patio around the outside of
the lawn?
36 ft
lawn
9 ft
13 ft
patio
28 ft
Your answer

Answers

Answer:

216 square feet

Step-by-step explanation:

Cement patio outside of lawn

(36*13)-(28*9)

468-252

216

Answer:

216

Step-by-step explanation:

[ Easy Math ] Help me pls

Answers

Answer:

1) you're going to have to flip the coins (or fake numbers) for the experimental trials.

2) for the theoretical, there is 1/2 chance for heads or tails with each toss, so you'd expect that out of 10 tosses, 5 heads, 5 tails. out of 100 tosses- 50 heads, 50 tails.

When tossing 2 coins- 1/2×1/2 = 1/4 (25%) chance that 2 heads, 2 tails, or 1 heads & 1 tails. Deviation value comes from after you done your flipping and recorded your data. So if on 100 flips you actually got 50 and 50 (rarely us that exact ;), the deviation from the expected of 50/50 would be 0.00. If however you flipped 100 heads or 100 tails (impossible), then the deviation value would be 1.00.

|(100-50)| ÷ 50 = 50÷50 = 1.00

So usually you may have data like: 47/53 or something a little off than 50/50, making deviation |(47-50)| ÷ 50 = 3÷50 = 0.06.

Now the number of flips is important for the outcome! So if a coin toss if 10 times had 4 heads, 6 tails, the deviation value would be:

|(4-5)| ÷ 5 = 1÷5 = 0.20

So increasing the # flips DECREASES the deviation value!!

Whether it's from 10 to 100, or from 100 to 200. Look at my example of how the 10-flip deviation of 0.20 decreased to 0.06 with 100-flip

help me please!!!!!!!

Answers

Answer:

Step-by-step explanation:

julie has 28 cards

gene has 14 cards

sharon has 19 cards

intotal they all have 61 cards

they have 61 in total.

28+14+19=61

Given

m∠LOM = 51° and m∠LON = 133°,

find the measure of ∠MON.

HELPPP PLEASEE

Answers

Answer:

m<MON = 82degrees

Step-by-step explanation:

According to the given question;

m<LON = m<LOM + m<MON

m<MON = m<LON - m<LOM

m<MON = 133 - 51

m<MON = 82degrees

3
0
5
3
7
4
11
6
O A. {-3,0,3,4,5,6,7, 11}
O B. (-3,4,5,7}
O C. {3, 5, 7, 11)
O D. {-3, 0,4,6}

Answers

Answer:

A. {-3,0,3,4,5,6,7, 11}

Step-by-step explanation:

I'm prettybsure that A is the range because the range of numbers goes from -3 to 11

What is the perimeter of the right triangle?

Answers

Answer:

Right triangle is 3 by 4 by

square root of (3^2 + 4^2) = 5

perimeter = 3+4+5 = 12

Step-by-step explanation:

i need help with 3x + 1 >_ 22=

Answers

Answer:

x>7

Step-by-step explanation:

pleaseeeeee help!!!!!!!!!

Answers

Answer:

x = 3

Step-by-step explanation:

Formula

CE * DE = AE * BE

Notice how the chords cut each other. Also notice how the segments are equated. See the givens.

Givens

CE = 3

DE = x + 11

AE =x+3

BE = 7

Solution

3*(x + 11) = 7(x + 3)               Remove the brackets

3x + 33 = 7x + 21                 Subtract 21 from both sides

3x + 33 - 21 = 7x                  Combine the left

3x + 12 =7x                          Subtract 3x from both sides

12 = 7x - 3x

12 = 4x                                Divide by 4

12/4 = 4x/4

x = 3

What if I don’t have a opposite in my trigonometry is it Sah Coh or toa

Answers

Answer:

Without an opposite, the only operation that can be used is C a/h or Cos Adjacent/ Hypotenuse

Answer:

sah

Step-by-step explanation:

f(x) = |7x + 1|– 8
g(x) = -2
Find (f - g)(2).
O A. (f – g)(x) = |7x] – 5
B. (f - g)(x) = 172 – 7 + 2
O c. (f – g)(x) = 17x +11 – 6
O D. (f - g)(x) = 17x – 5||

Answers

Answer:

f-g)(x)= | 7x + 1 | -6 Is correct

Step-by-step explanation:

Functions f(x) and g(x) are illustrations of composite functions.

The value of (f - g)(x) is |7x + 1| - 6

The functions are given as:

[tex]\mathbf{f(x) = |7x +1|- 8}[/tex]

[tex]\mathbf{g(x) = -2}[/tex]

The function (f - g)(x) is calculated using:

[tex]\mathbf{(f - g)(x) = f(x) - g(x)}[/tex]

So, we have:

[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 - (-2)}[/tex]

Remove bracket

[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 +2}[/tex]

Simplify

[tex]\mathbf{(f - g)(x) = |7x + 1| - 6}[/tex]

Hence, the value of (f - g)(x) is |7x + 1| - 6

Read more about composite functions at:

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If is an angle in quadrant II, what is the value of ?

Answers

The value of this answer is .B

The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer: 18.84

Step-by-step explanation:

Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84

WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior​

Answers

they are alternate interior angles

Answer:

The answer is constructive interori

Step-by-step explanation:

In 2008, the Los Angeles Times asked members of the American public whether free international trade has helped or hurt the economy. Of those surveyed, a.16 percent said free international trade hurt the economy. b.26 percent said free international trade helped the economy. c.57 percent said free international trade helped the economy. d.30 percent said free international trade hurt the economy.

Answers

Answer:

Option B

Step-by-step explanation:

Of those surveyed, 26 percent said free international trade helped the economy.

They claimed that trade liberalization and increase in investment in physical capital was the main reason behind the growth of the economy.

Hence, option B is correct

Which of the following statements are true? Check all that apply.

Answers

I’m pretty sure d ? ………..

give four pairs of prime numbers whose difference is 2​

Answers

Answer:

(3, 1) (5, 3) (7, 5) (13, 11)

Step-by-step explanation:

There are only three of them that I know of:

(7, 5) (13, 11) (19,17)

The perimeter of the scalene triangle is 54.6 cm.
*pretend this is the triangle
3a, a b

Which equation can be used to find the value of b if side a measures 8.7 cm?
A. 8.7 + b = 64.6
B. 17.4 + b = 54.6
C. 21.6 + b = 54.6
D, 34.8 + b =54.6

Answers

Answer:

D, 34.8 + b =54.6

[tex]perimeter = s + s + s \\ 54.6 = 3a + a + b \\ 54.6 = 4a + b \\ (4 \times 8.7) + b = 54.6 \\ 34.8 + b = 54.6[/tex]

What is the volume of this cylinder? ​ 6m, 7m

Answers

Answer:

[tex]198\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] is the height.

What we're given:

[tex]r[/tex] of 3[tex]h[/tex] of 7

Substituting given values, we get:

[tex]V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}[/tex], rounded the nearest cubic meter as requested in question.

Answer:

Volume of cylinder is 197.82 m ³.

Step-by-step explanation:

Here,

We have given that

Diameter of cylinder = 6 m

So, Radius of cylinder, r = 6 / 2 = 3m

Height of cylinder , h = 7 m

Value of π = 3.14

To find :-

Volume of cylinder

Solution :-

We know that,

Volume of cylinder = π × r ² × h

Substitute the values

Volume of cylinder = 3.14 × ( 3m ) ² × 7 m

volume of cylinder = 3.14 × 9m² × 7 m

Multiply , we get

Volume of cylinder = 197.82 m ³

Therefore, The volume of cylinder id 197.82 m ³.

Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4

Answers

Answer: 23692929

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex](25x-4)^8[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the area of the shape below. GUS PLEASE HEL​

Answers

Answer:

122 squared cm

Step-by-step explanation:

[tex]6*12=72[/tex]

[tex]10*5=50[/tex]

[tex]72+50=122[/tex]

Hope this helps

Answer:

122 squared cm

Step-by-step explanation:

First we split the figure into 2

12 x 6

And,

10 x 5

12 x 6 = 72

and

10 x 5 = 50

Now we add 72 + 50 = 122

Một ủy ban an toàn kiểm tra ngẫu nhiên 900 công nhân xây dựng trong thời gian làm việc, thấy có 48 công nhân không mang mũ bảo hộ. Hãy ước lượng tỷ lệ công nhân không mang mai bảo hộ trong thời gian làm việc với độ tin cậy 98%

Answers

Answer:

The percentage of workers not wearing the helmets is 5.3 %.

Step-by-step explanation:

A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence

total workers = 900

Not wearing helmet = 48

Percentage which are not wearing the helmets

= [tex]\frac{48}{900}\times 100 = 5.3 %[/tex]%

Mark has 10 pens. Kate has 5 times as many pens as Mark.
Which equation below answers how many pens Kate has? (y = number of Kate's pens

10 = 5 × y

10 = 5 + y

y = 5 × 10

y = 10 ÷ 5

Answers

Answer:

The third one, y = 5 x 10

Step-by-step explanation:

y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.

Select the correct answer.
Consider this equation.
cos(9) =
V11
5
If & is an angle in quadrant I, what is the value of sin(0)
OA.
V14
5
B.
154
11
OC.
14
5
0D.
154
11

Answers

Answer:

c

Step-by-step explanation:

because x=9

Aan angle in quadrant I, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].

What is the sin theta?

Sin theta is defined as the ratio of perpendicular and hypotenuse.

The given equation is;

[tex]\rm Cos\theta=\dfrac{\sqrt{11} }{5}[/tex]

The cos[tex]\theta[/tex] is given by;

[tex]\rm Cos\theta=\dfrac{Base}{hypotenuse}[/tex]

By applying Pythagoras theorem the value of base is;

[tex]\rm (5)^2=Perpendicular^2+ (\sqrt{11} )^2\\\\ Perpendicular^2= 25-11\\\\ Perpendicular^2=14\\\\ Perpendicular =\sqrt{14}[/tex]

The value of sin[tex]\theta[/tex] is;

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypoteunse}\\\\Sin \theta=\dfrac{\sqrt{14} }{5}[/tex]

Hence, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].

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Find the co-ordinates of the points where the line represented by the linear equationy = 2x -4 intersects x-axis and y-axis.

Answers

Step-by-step explanation:

x-intercept => point (2, 0)

y-intercept => point (0, -4)

The formula for the volume of a cone is .

Solve  for b, the base of the cone.

Answers

Answer is D.
V= 1/3bh
multiply both sides by 3 to eliminate the fraction
3V= bh
b = 3V under h > D

What is the solution to the system of equations

Answers

Answer:

(0,3)

Step-by-step explanation:

solve for 2y

-X-2y= -6

2y=6+2x

substitute the given value of 2y into the equation -x-2y=-6

-x-(6+3x)= -6

solve for x

x=0

substitute the given value of X into the equation 2y=6+3x

2y=6+3×0

solve for y

y=3

the solution is (0,3)

PLS HELP PLS !!!!!! k

Answers

Answer:

The top right is 5,1

top left -4,3

bottom left the one near the -4 is -4,1

and the one below that is -2,5

And last the bottom right is 4,1

Step-by-step explanation:

Your welcome :)

Find all real square roots of 25.​

Answers

The square root of 25 is 5.
sorry if the answer is wrong

Which of the following is the function f(x) if f^-1(x) = 5x - 19?

A. f(x) = x - 19 over 5
B. f(x) = x + 19 over 5
C. f(x) = 5x + 19
D. f(x) = x over 5 + 19

Answers

Answer:

number of A is correct answer

eu quero resposta de Química de verdadeiro ou falso​

Answers

neneekebekehekeffhdejhrr

Answer:

create a true or false chemistry question

Step-by-step explanation:

this is the translation

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