Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.
Question 20 options:

A)

–13∕5


B)

13∕5

C)

5∕13

D)

–5∕13

Answers

Answer 1

Answer:

A

Step-by-step explanation:

We are given:

[tex]\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}[/tex]

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

[tex]o=\sqrt{13^2-12^2}=\sqrt{25}=5[/tex]

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.

And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.

Cosecant is given by the hypotenuse over the opposite side. Thus:

[tex]\displaystyle \csc(\theta)=\frac{13}{5}[/tex]

Since θ is in QIII, cosecant must be negative:

[tex]\displaystyle \csc(\theta)=-\frac{13}{5}[/tex]

Our answer is A.

Answer 2

Answer:

A

Step-by-step explanation:

I took the quiz!


Related Questions

in the following diagram find x​

Answers

Answer:

⚠︎ 65 IS YOUR ANSWER!

Step-by-step explanation:

180-50 = 130

130 / 2= 65

Answer:

x=65

Step-by-step explanation:

you can set up a equation

50 + x+x =180 = 50 + 2x =180

then minus the 50

2x= 130 and the divide by 2

x=65

Determine if \sqrt{3}
3

is rational or irrational and give a reason for your answer.

Answers

Answer:

Irrational

Step-by-step explanation:

The square root of 3 is not a perfect square, therefore it is irrational. Another way you could see if it is rational is if it can be put in a fraction, if it can't, then it is irrational.

40 points need NOW Simplify the expression.

Answers

Answer:

[tex]7xy^{2} \sqrt[3]{2xy}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{686x^{4} y^{7}}[/tex]

[tex]686 = 343 * 2[/tex]

[tex]x^{4} = x^{3} * x[/tex]

[tex]y^{7} = y^{3} * y^{3} * y[/tex]

[tex]\sqrt[3]{343} =7[/tex]

[tex]\sqrt[3]{x^{3}} = x[/tex]

[tex]\sqrt[3]{y^{3}* y^{3}}[/tex] = [tex]y^{2}[/tex]

so you're left with 2, x, and y inside the cube root, and 7, x, and y^2 outside

[tex]7xy^{2} \sqrt[3]{2xy}[/tex]



| 2. On rectangle ABCD below, if A is located at

(3, 4) and B is located at (7,6), is the slope

of BC ?

necal ve

rec

Answers

Answer:

-2

Step-by-step explanation:

Given that:

A = (3, 4) ; B = (7, 6)

In triangle ABCD, AB and BC are Perpendicular lines :

Slope AB = Rise / Run = (y2 - y1) / (x2 - x1)

y2 = 6 ; y1 = 4 ; x2 = 7 ; x1 = 3

Slope AB = (6 - 4) / (7 - 3) = 2 / 4 = 1 / 2

To obtain the slope of BC:

RECALL:

product of the slope of 2 Perpendicular lines = - 1

Slope AB * Slope BC = - 1

1 / 2 * slope BC = - 1

Slope BC = - 1 ÷ 1/2

Slope BC = - 1 * 2/1

Slope BC = - 2

HENCE, slope of BC = - 2

Jackson ran 1 1/2 miles in 1/2 of an hour. What is Jackson's unit rate in miles per hour?

Answers

Answer 3 hours

Step-by-step explanation:

Rewrite the rational function g(x) =x-9/x in the form g(x) = c+ r/x, where c and r are constants.

Answers

Answer:

g(x) = 1 - 9/x

Step-by-step explanation:

Given the rational function g(x) =(x-9)/x, we are to express in the form g(x) = c+ r/x, where c and r are constants.

g(x) = (x-9)/x

Expressing as partial fraction since they have the same denominator

g(x) = x/x - 9/x

Since x/x = 1, hence;

g(x) = 1 - 9/x

Comparing with g(x) = c+ r/x, c= 1 and r = -9

Hence the equivalent expression is g(x) = 1 - 9/x

la pyramide du Louvre cest une pyramide a base carrée de 35,4m de large et de 21,6m de haut calculer l'inclinaison dune face par rapport a l'horizontale (arrondire au degrés) ​

Answers

Answer:

c'est une pyramide régulière à base carrée de35.4 m de large et de 21.6 m de haut. calculer l'inclinaison d'une face par rapport à l'horizontale. ... dans le triangle rectangle SHA: tg SAH = 21,6/17,7 donc l'angle SAH = 50,66° ...

Step-by-step explanation:

Define the variables for the situation. Then enter an equation.
Jana's age plus 8 equals her sister's age.
j = Jana's age B
s = sister's age e
Enter an equation:
+

Answers

Answer:

Definitions of the variables in the situation:

J = Jana's age

S = Sister's age

The Equation:

J + 8 = S

Step-by-step explanation:

Explanation:

In the equation we will use the variable J for Jana and S for Janna's sister. Since we know Jana's age plus 8 equals her sister's age, the equation will be J + 8 = S

Diego took a survey to find out how many students plan to go to a school band concert. There are more than 1,000 students in his school. He selected a sample by asking the first 50 students he met at band practice.

Answers

Answer: N/A

Step-by-step explanation: We need more info to solve this problem

Answer:

The one above is wrong

The actual answers are A and D

Raisa’s office is on the sixth floor of a building. From her office, she took the elevator down eight floors to the parking garage. Which number represents the distance and direction of her trip from the parking garage to the ground floor of the building?–8

Answers

Answer:

(C) 2

May nilbin be with you

Answer:

8

Step-by-step explanation:

A bakery offers a sale price of $2.85 for 6 muffins. What is the price per dozen?


The price per dozen muffins is $
.

Answers

5.70$
Have a good day
The answer is $5.70 this is because there is 12 eggs in a dozen so if its $2.85 for 6 you would do $2.85x2 to get $5.70

What happens when a figure is dilated .

Answers

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

40 times 40 times 30 equals

Answers

48000 is your awnserrrr

50 POINTS HELP PLS ASAP

Answers

Answer:

G

Step-by-step explanation:

Which equation is equivalent to x+8 = 21?
^ (x+8) X 4 = 21
© (X + 8) X 4 = 21 X 2
0 (X + 8) X 4 = 21 X 4
® (X + 8) X 4 = 214

Answers

The answer to your question would be:
(X+8) x 4= 21x4

What is the measurement of this angle?

Answers

Use this for all your problems like this- How to measure an angle with a protractor:

Place the midpoint of the protractor on the VERTEX of the angle.
Line up one side of the angle with the zero line of the protractor (where you see the number 0).
Read the degrees where the other side crosses the number scale.

The pictogram shows information about the numbers of phones sold in a shop over a 5-month period.

Answers

Answer:

a) 5(6) = 30

b) 3.5(6) = 21

c) 153

Step-by-step explanation:

c) 30 + 39 + 21 + 36 + 27 = 153

What is the solution to the system of equations? 4x + 2y = 1
5x = y - 18 ​

Answers

Answer:

Step-by-step explanation:

X = -5/2

y = 11/2

Y= -2x + 1/2

Y= 5x + 18

Write a verbal sentence to represent each equation.
8+3x=5

Answers

Answer:

eight plus three times a number

Step-by-step explanation:

I think I'm wrong I don't know I'm not really the master at this (but feel free to do tell me if I'm wrong)

Answer:

eight plus there = to a number

Step-by-step explanation:

please give me brainliest

Marcos buys 20 folders and 10 binders for a total of $100. Alicia buys 10 folders and 20 binders for $110. What is the price of each folder and each binder?​

Answers

Answer:

folder is $3 binder is $4

Step-by-step explanation:

Let folder be x and binders be y

Marcos

20x+10y= 100----------1

Alicia

10x+20y= 110-------------2

solve 1 and 2

20x+10y= 100 X 1

10x+20y= 110 X 2

20x+10y= 100

-20x+40y= 220

        -30y= -120

y= 120/30

y= 4

put y= 4 in 1

20x+10y= 100

20x+10(4)= 100

20x+40=100

20x=100-40

20x=60

x= 60/20

x=3

Company A charges $125 annual fee plus $5 per hour car share fee.

Company B charges $80 plus $10 per hour. What is the minimum number of

hours that a car share needs to be used per year to make company A a better

deal?

Answers

Answer:

Greater than 9 hours.

Step-by-step explanation:

Company A annual fees = $125

Company A share fee = $5 per hour

Let number of hour be x, then

Company A total fee = $125 + 5x

Similarly, Company B annual fees = $80

Company B share fee = $10 per hour

Let number of hour be x, then

Company B total fee = $80 + 10x

If company A is a better deal, then

125 + 5x < 80 + 10x

= 125 - 80 < 10x - 5x

= 45 < 5x

= x > 45÷ 5

= x > 9

So, number of hours must be greater than 9 hours.

Answer: 10

Step-by-step explanation: took the quiz

6. Diana drew a circle on a coordinate grid and shaded the inside, as shown below.
CLEAR AL
w
Which list of ordered pairs represents points located in the shaded part of
Diana's circle?

Answers

it would be the first choice , with (9,3)

(3x - 16)
(lly-32)
(6x + 7)

Answers

Answer:

ummm What is the quastion ?

Need help due tonight!

Answers

Answer:

y = 4.375x + 2.5

Step-by-step explanation:

The equation of the line is expressed as y = mx+c

m is the slope

c is the intercept

Using the coordinate points (0, 2.5), (4, 20)

Slope m = 20-2.5/4-0

m = 17.5/4

m = 4.375

Get the intercept

Substitute (0, 2.5) and m = 4.375 into y - mx+c

2.5 = 4.375(0) + c

2.5 = c

Get the equation required

y = 4.375x + 2.5

heyy i hope ur doing fine could u answer these thankss :)

Answers

D. horizontal translation 3 unites left.

Do the ratios 3:2 and 54:10 form a proportion

Answers

Answer:

No.

Step-by-step explanation:

3/2=1.5 and 54/10=5.4.

I NEED THIS ASAP!!! WHOEVER ANSWERS FIRST WILL MARK BRAINLEST

Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation:
a) y = 3.5x + 4; A(...; 5), B(10; ...)


b)7x − 5y = 12; A(...; 9), B(4; ...)

c)y = − 37 x +3; A(...; 6), B(9; ...)

d)y = 0.3x + 1; A(...; 9), B(5; ...)



please answer asap
ty :P

Answers

Answer:

LOOK

Step-by-step explanation:

Put the points into the equation and solve for the missing value.

If Area Sub made 36 sandwiches using 9 pounds of ham. How much ham was used per sandwich?

Answers

Answer:

4 pounds

Step-by-step explanation:

[tex]\frac{36}{9}[/tex] = 4

I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

Step-by-step explanation:

Total number of sandwiches = 36

Total pounds of ham = 9 pounds

per pound = 36 ÷ 9 = 4 sandwiches

Ham per sandwich = 0.25 pounds

What is the simplified value of the exponential expression 27 1/3?
A. 1/3
B. 1/9
C. 3
D. 9

Answers

Answer:

C.3 is Answer.

Step-by-step explanation:

I hope it's helpful!

Answer: 27 1/3 simplified is C

Hope this helps (:

if the area of the circle is 225pi what is the diameter

Answers

Answer:

30cm

Step-by-step explanation:

Area is πr²

So,

πr²=225π

r=√225

r=15cm

Diameter=2r=30

Maths is easy peasy

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