Given that cosθ = - and θ is in the second quadrant, find cscθ.

Answers

Answer 1
Since sin²x+cos²x=1, we can plug (-12/13) for cos(x) to get (-12/13)²+sin²x=1 
= 144/169+sin²x=1. Subtracting 144/169 from both sides, we get 25/169=sin²x. Square rooting both sides, we get 5/13 as sinx (since √25=5 and √169=13,as well as that it's in quadrant 2 - if it was in quadrant 3 or 4, it would be -5/13). Since cscx=1/sinx, we can plug (5/13) in for sinx to get 13/5 as our answer

Related Questions

Find the equation of a circle which is tangent to x-axis and whose center is at (4,2)

Answers

hello : 
an equation x-axis is y= 0
the ridus is the distance betwen the center and x-axis :
r = |(0)(4)+(1)(2)+0 |/√((0)²+(1)²) = 2/1 =2

 an equation of the circle is : (x- 4)²+(y-2)² = 4

3. company pays a greater annual salary? Show your Company A offers a semimonthly salary of $2432, and Company B offers a biweekly salary of $2390. Which work.

Answers

Company A offer
2,432×24(semimonthly)
=58,368 per year

Company B offer
2,390×26 (biweekly)
=62,140 per year

So company B pays a greater annual salary

Hope it helps!

Write the number 498,416 in words.
A. Four hundred ninety-eight billion four hundred sixteen.
B.Four hundred ninety-eight million four hundred six.
C.Four hundred ninety-eight thousand four hundred sixteen.

D. Four hundred ninety-eight sixteen.

Answers

Your answer would be C.

The number do not go to millions or billions so those arent correct.

Then we know that the number is in the hundred thousands so the only logical answer would be c.

Hope this helps.

What does the property Additive Identity, Additive Inverse, Multiplicative Identity, and Multiplicative Inverse mean?

Answers

Additive identity is any number you can add plus zero. (So any number.)
Multiplicative Identity is any number multiplied by one.
Additive inverse is subtracting the positive number in an equation on both sides of the equal sign. 
Here's an example since that was a bad explanation:
x+3=15
The next step is to do the inverse of adding three to both sides of the equal sign so you're subtracting three.
and multiplicative is pretty much the same besides instead of subtracting you're dividing. I hope that helped! :)

Answer:

32342

Step-by-step explanation:

22

The penny size d is given by the literal equation d = 4n - 2, solve for n

Answers

Thanks for your question!

d = 4n -2
d + 2 = 4n
(d+2)/4 = n

Hope this helped!

Carletta and Johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, Dewey Sasser. Carletta can make one mother board in 12 hours while it takes Johnathan 16 hours to make one mother board. Dewey suggested they could produce mother boards faster if they combined forces and worked together to build each mother board. What will be the time, in hours, that Carletta and Johnathan can build a mother board when working together? (Round your answer to the nearest hour.)

Answers

Carletta works at the rate
x = (1 board)/(12 hours) = 1/12 mb/hr

Johnathan works at the rate
y = (1 board)/(16 hours) = 1/16 mb/hr

The combined working rate is
1/12 + 1/16 = 7/48 = 0.1458 mb/hr

The time to build a mother board (mb) when working together is
(1 mb)/(0.1458 mb/hr) = 6.8587 hrs = 7 hours (nearest hour)

Answer:  7 hours

You go to a party which has 1000 guests (including you)., probability that at least 2 have the same birthday as you

Answers

The probability is 0.7584.

What's 17= z- (-9) days

Answers

z - (-9) is the same as z + 9. Subtracting a negative is the same as adding.

Therefore 
17 = z - (-9)
is the same as
17 = z + 9

To get 'z' all by itself, we need to subtract 9 from both sides. We subtract 9 from both sides to undo the "plus 9" occurring to the 'z' on the right side.

17 = z + 9
17-9 = z + 9=9 ... subtracting 9 from both sides
8 = z
z = 8

So the answer is z = 8

---------------------------

Check:

17 = z - (-9)
17 = 8 - (-9) ... replace z with 8
17 = 8 + 9
17 = 17
Answer checks out


The calculated value of z in the equation 17 = z - (-9) is 8

How to determine the value of z in the equation

From the question, we have the following parameters that can be used in our computation:

17 = z - (-9)

When the bracket is evaluated, we have

17 = z + 9

So, we have

z = 17 - 9

Evaluate

z = 8

Hence, the value of z in the equation is 8

The sum of three consecutive even integers is 50 more than the larger integer. What are the integers? Plz show work and answer ASAP.

Answers

Firstly, you'll want to form an equation:

a+b+c=d

To make it simpler, let's just say that 'a' is the largest integer

In that case, d-50=a

I could give you some convoluted equation to find your integers but honestly, checking and guessing is easier.

I just ran through a couple sets of numbers in my brain, although I'd suggest actually writing down your thought process.

These are the integers I got:

20, 30, and 50

Keep in mind, however, that there are multiple correct answers to this problem.

Find the missing measure for a right circular cone given the following information. Find r if T.A. = 12pi and L.A. = 8pi

Answers

ARea of base  = TA - LA = 4pi

pi r^2 = 4 pi  where r is radius of base.

r^2  = 4

so r = 2  Answer

Answer:

r = 2 units

Step-by-step explanation:

Total area(T.A) of the circular cone is given by:

[tex]\text{T.A} =\pi r^2+ \pi r\sqrt{r^2+h^2}[/tex]

Lateral surface area(L.A) of the circular cone:

[tex]\text{L.A} = \pi r\sqrt{r^2+h^2}[/tex]

where

r is the radius and h is the height of the circular cone.

As per the statement:

[tex]T.A = 12 \pi[/tex] and [tex]L.A = 8 \pi[/tex]

then;

[tex]T.A -L.A = \pi r^2+ \pi r\sqrt{r^2+h^2}-\pi r\sqrt{r^2+h^2}[/tex]

⇒[tex]12 \pi -8 \pi = \pi r^2[/tex]

⇒[tex]4 \pi =\pi r^2[/tex]

Divide both sides by [tex]\pi[/tex] we have;

[tex]4 =r^2[/tex]

or

[tex]r^2 = 4[/tex]

⇒[tex]r= \pm\sqrt{4} =\pm 2[/tex]

r cannot be in negative

⇒[tex]r = 2[/tex] units

Therefore, radius of the circular cone is, r = 2 units

Exactly four angles of a hexagon are congruent. the other two angles are complementary. what is the measure of one of the four congruent angles?

Answers

Angles in hex add up to 720.
complementary means 2 angles add up to 90
So we can subtract that from 720
that means the remaining 4 angles = 630
630/4 = 157.5

A state auto-inspection station has two inspection teams. team 1 is lenient and passes all automobiles of a recent vintage; team 2 rejects all autos on a first inspection because their “headlights are not properly adjusted.” four unsuspecting drivers take their autos to the station for inspection on four different days and randomly select one of the two teams. a if all four cars are new and in excellent condition, what is the probability that three of the four will be rejected? b what is the probability that all four will pass?

Answers

The probability of passing and rejection is equally likely given that one of the teams are randomly selected for the inspection and that the drivers are unsuspecting.

Thus, P(passing) = 1/2
P(rejection) = 1/2

Part A:

The probability that three of the four will be rejected is given by

[tex]P(RRRP)=\ ^4C_3\times\left( \frac{1}{2} \right)^3\times\left( \frac{1}{2} \right) \\ \\ =4\times \frac{1}{8}\times \frac{1}{2} =\frac{1}{4}=25\%[/tex]



Part B:

The probability that all four will pass is given by

[tex]P(PPPP)=\ ^4C_4\times\left( \frac{1}{2} \right)^4\\ \\ =1\times \frac{1}{16} =\frac{1}{16}=6.25\%[/tex]

50 POINTS! PLEASE HELP!
Solve the equation with parentheses and variables on both sides of the equal sign.
5(x-4)+3x-9x=6-(2x+5)+8x
Part1: Use the distributive property to remove the parentheses.
Part2: Collect any like terms on both sides of the equation.
Part3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides)
Part4: Bring all constant terms to one side. A constant term is a number without a variable. (Hint: Subtract 1 from both sides.)
Part5: Now solve the one-step equation. Show your work.

Answers

Step 1. Simplify brackets

[tex]5(x-4)+3x-9x=6-2x-5+8x[/tex]

Step 2. Simplify [tex]5(x-4)+3x-9x[/tex] to [tex]5(x-4)-6x[/tex]

[tex]5(x-4)-6x=6-2x-5+8x[/tex]

Step 3. Simplify [tex]6-2x-5+8x[/tex] to [tex]1+6x[/tex]

[tex]5(x-4)-6x=1+6x[/tex]

Step 4. Expand

[tex]5x-20-6x=1+6x[/tex]

Step 5. Simplify [tex]5x-20-6x[/tex] to [tex]-x-20[/tex]

[tex]-x-20=1+6x[/tex]

Step 6. Add [tex]x[/tex] to both sides

[tex]-20=1+6x+x[/tex]

Step 7. Simplify [tex]1+6x+x[/tex] to [tex]1+7x[/tex]

[tex]-20=1+7x[/tex]

Step 8. Subtract [tex]1[/tex] from both sides

[tex]-20-1=7x[/tex]

Step 9. Simplify [tex]-20-1[/tex] to [tex]-21[/tex]

[tex]-21=7x[/tex]

Step 10. Divide both sides by [tex]7[/tex]

[tex]- \frac{21}{7} =x[/tex]

Step 11. Simplify [tex] \frac{21}{7} [/tex] to [tex]3[/tex]

[tex]-3=x[/tex]

Step 12. Switch sides

[tex]x=-3[/tex]

Done! :)

[tex]Answer:[/tex]

[tex]x = -3[/tex]

[tex]Step-by-step~explanation:[/tex]

[tex]5x-20+3x-9x=6-(2x+5)+8x[/tex]

[tex]8x-20-9x=6-(2x+5)+8x[/tex]

[tex]-x-20=6-(2x+5)+8x[/tex]

[tex]-x-20=6-2x-5+8x[/tex]

[tex]-x-20=1-2x+8x[/tex]

[tex]-x-20=1+6x[/tex]

[tex]-x-20-6x=1[/tex]

[tex]-7x-20=1[/tex]

[tex]-7x=1+20[/tex]

[tex]-7x=21[/tex]

[tex]\frac{21}{-7}[/tex]

[tex]-3[/tex]

Find the area of a circle with a radius of 8 inches.the formula for the area of a circle is a=πr2. use 3.14 for π

Answers

The area is 200.96 square inches

Answer:

200.96  square inches

Step-by-step explanation:

I took a quiz with this question and I got an A

a dwarf sea horse swims at a rate of 54.68 feet per hour. convert this speed to inches per minute. the speed is ____ inches per minute.

Answers

10.936
54.68*12=656.16
656.16/60=10.936

A computer cost 1389.93 including tax if the tax rate is 7% find the price of the computer before taxes

Answers

1292.6349
Simply take 1389.93 x 0.07 = 93.something
subtract 93.something from 1389.93 and bam!
Ans = 1292.6349

Answer:

Cost of the computer before taxes is $1299.

Step-by-step explanation:

Let the price of the computer before taxes is = $x

Tax rate on this computer = 7%

Therefore, computer cost including tax = (x + 7% of x)

                                                                 = [tex]x+\frac{7x}{100}[/tex]

                                                                 = x + 0.07x

                                                                 = $(1.07x)

Cost of the computer including tax is given as $1389.93.

Therefore, 1389.93 = 1.07x

x = [tex]\frac{1389.93}{1.07}[/tex]

  = $1299

Cost of the computer before taxes is $1299.

Which property is NOT used when solving 15=2x-1

Answers

Final answer:

The associative property is not used when solving the given equation.

Explanation:

The property that is NOT used when solving the equation 15=2x-1 is the associative property.

The associative property states that the grouping of numbers does not affect the result of addition or multiplication. However, in this equation, there is no need to group the numbers in a different way.

Thus, the answer to the equation is:
15 = 2x - 1

Solving for x:
15 + 1 = 2x

16 = 2x

Divide both sides by 2:
16/2 = x

8 = x

Ben drinks tea at an incredible rate. He drinks 3.5 loiters of tea every 2/3 of an hour. How many of liters of tea does he drink in one hour?

Answers

First divide 3.5 by 2 which equals 1.75. Then do 1.75*3 which equals 5.25. So he drinks 5.25 liters in one hour.
3.5 divided by 2/3
convert 3.5 to 3 and 1/2 then to 7/2

(7/2)/(2/3)
remember that
[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}[/tex]

so
[tex]\frac{\frac{7}{2}}{\frac{2}{3}}=\frac{(7)(3)}{(2)(2)}=\frac{21}{4}=[/tex]
[tex]\frac{20}{4}+\frac{1}{4}=[/tex] 5 and 1/4 liters per hour or 5.25 liters per hour

Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? Q(6,3)

Answers

Alright

This equation models a circle with a center of (-2 , 3) and a radius of 9

To check the point (6,3) how far is it from the center (-2,3):

using the distance formula:
[tex] \sqrt{(3-3)^2+(-2-6)^2} = \sqrt{0+8^2} = \sqrt{64} =8[/tex]

therefore, this point lies INSIDE the circle, not on it nor outside it.

It is an interior point.

what would 6x-4=10 be?

Answers

6x-4=10
6x=14
x = 14/6
x=7/3

HELPPPPPPPPPPPPPPPPPPPP: Why does the AA similarity Theorem only need to identify the measurement of 2 congruent angles? Why is it not necessary to find the measurement of the third angle and show that it is also congruent to the corresponding third angle of a similar triangle?

Answers

The Third Angle Theorem states if two angles are congruent to two angles in another triangle, the third angles are congruent too. Because a triangle has 180 degrees the third angle in any triangle is 180 degrees minus the other two angle measures

Reading left to right, a negative slope looks like a line going ________, while a positive slope looks like a line going ________.

Answers

A negative slope goes down and a positive slope goes up

Kelly has $25 in her purse, and Dante has d dollars in his wallet.
Which algebraic expression represents the total amount that Kelly and Dante have?
A: d-25
B:25d
C:25-d
D:25+d

Answers

D
you are adding the dollar amounts of both to find the total between the 2

Answer:

Option D: 25 + d

Step-by-step explanation:

Kelly is having money in her purse = $25

Dante has in his wallet = $d

By adding both value we can get the total amount that Kelly and Dante have.

Therefore, 25 + d is the expression that represents the total amount that Kelly and Dante have.

Option D: 25 + d is the answer.

if x=6 can the <'s be supplementary
I completely messed up and need help...

Answers

If x = 6, then the value of 10x+46 is...
10*x+46 = 10*6+46 = 60+46 = 106
So the angle on the left is 106 degrees

If x = 6, then the value of 12x+14 is...
12*x+14 = 12*6+14 = 72+14 = 86
The angle on the right is 86 degrees

In summary so far, we have 
(10x+46) degrees change to 106 degrees
(12x+14) degrees change to 86 degrees

Adding up the two angles would lead to 106+86 = 192

The result is not 180 so the angles cannot be supplementary. 

Given the system of equations, what is the solution?

x + 2y = 7
x - 2y = -1

Answers

Add the 2 equations to eliminate the 2y. We get

2x = 6

x = 3

Plug x = 3 into the first equation:-

3 + 2y = 7
2y = 7 - 3 = 4

y = 2


Answer is x = 3 and y = 2

The solution of the system of equations is (3, 2)

What is a system of equations?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought

Given is a system of equations,

x + 2y = 7......(i)

x - 2y = -1

x = 2y - 1.....(ii)

Put eq(ii) in eq(i)

2y-1+2y = 7

4y = 8

y = 2

Put y = 2 in eq (ii)

x = 2(2)-1

x = 4-1 = 3

Hence, the solution of the system of equations is (3, 2)

Learn more about equations, click;

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Transformations of polynomial functions

Answers

g(x)= x^2-2
Since the 2 is outside the parentheses (or there are no parentheses in this case) then it will simply be a vertical translation 2 units down.

g(x)= (x+4)^2
Since the 4 is inside the parentheses then we know the translation will be horizontal. When translating horizontally a + sign indicates translating left and a - sign indicates translating right. So this would be a Horizontal translation 4 units left.

~I hope this helps!~

The requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The transformation from g(x) = x² - 2 to g(x) = (x + 4)² involves a horizontal translation of 4 units to the left. This means that the vertex of the parabola has shifted 4 units to the left from its original position. Additionally, there is no vertical translation (i.e., the value of "a" remains the same), and the shape of the parabola remains the same. Therefore, the transformation is a horizontal translation.

Thus, the requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.

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The exact times, in seconds, of four sprinters from a school track meet are as follows: Sprinter Sprinter A Sprinter B Sprinter C Sprinter D Time 132.38 132.31 132.29 132.25 If the stopwatch used was precise only to the tenths place, which sprinter's time is different from the others? Your answer: Sprinter A Sprinter B Sprinter C Sprinter D

Answers

Sprinter A because it rounds to 132.40 and B-D round to 132.30

Answer:

a. Sprinter A

Step-by-step explanation:

it rounds to 132.40 and B-D round to 132.30

Which statement is true about this argument?

Premises: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180°.

Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

Answers

Final answer:

The argument 'If two angles form a linear pair, then the sum of their measures is 180°' is valid. This conclusion is logically drawn from the premises stating that a linear pair of angles are supplementary, and that supplementary angles have a sum of 180°.

Explanation:

The statement 'If two angles form a linear pair, then the sum of their measures is 180°' is indeed true based on the provided premises. Here's why:

If two angles form a linear pair, according to the first premise, they are supplementary.Supplementary angles are those where the sum of their measures is 180°, as stated in the second premise.Therefore, if two angles form a linear pair (making them supplementary), then the sum of their measures is indeed 180°, which is the conclusion given.

So, the argument is valid and the conclusion is correctly drawn from the premises.

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Evaluate A2 for A = -3.

Answers

If you are solving A^2 then the answer is 9.
Or If you are solving A•2 then the answer is -6.

Answer:  The required value of A² is 9.

Step-by-step explanation:  We are given the following value of a variable A :

[tex]A=-3.[/tex]

We are to find the value of [tex]A^2.[/tex]

To evaluate [tex]A^2,[/tex] we need to multiply A and A.

Therefore, the evaluation is as follows :

[tex]A^2=A\times A=(-3)\times(-3)=9.[/tex]

Thus, the required value of A² is 9.

Find the midpoint of modifying above AB.

(4.5, 4.5)
(1.5, 1.5)
(3, 3)
(2, 2)

Answers

AB is a segment defines by the two points A and B.

Say the coordinates of the point A are (a1, a2) and the coordinates of point B are (b1,b2).

The midpoint is found using this.

x = (a1+b1)/2 and y = (a2+b2)/2

So, the coordinates of the midpoint are (a1+b1)/2 , (a2,b2)/2.

With that you can solve your question known the coordinates of points A and B.

Answer: Im guessing B. (1.5, 1.5)

Once I enter my test ill come back and edit.

Its correct! good luck on your test! :)

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