If secθ = -6.743, find the two values of θ
between 0° and 360°. Round your answers to one
decimal place.

Answers

Answer 1

Answer:

Θ ≈ 98.5° , 261.5°

Step-by-step explanation:

using the identity

cosΘ = [tex]\frac{1}{sec0}[/tex] , then

cosΘ = [tex]\frac{1}{-6.743}[/tex] ≈ - 0.1483

since cosΘ < 0 then Θ is in 2nd and 3rd quadrants

Θ = [tex]cos^{-1}[/tex] (- 0.1483) ≈ 98.5° ← in 2nd quadrant

related acute angle = 180° - 98.5° = 81.5° , then

Θ = 180° + 81.5° = 261.5° ← in 3rd quadrant


Related Questions

Write the ratio in simplest form: there are 6 red marbles and 22 blue marbles in a jar. What is the ratio of red marbles to blue?

Answers

Answer:

3 : 11

Step-by-step explanation:

Given : the ratio of red marbles to blue marbles is 6 to 22

But ,we want to write the ratio in simplest form

therefore ,we have to divide both sides of the ratio by their greatest common factor GCF.

→ So Let’s find the GCF(6 , 22)

Since 6 = 2 × 3

         22 = 2 × 11

then ,GCF(6 , 22) = 2

Eventually ,the ratio 6 : 22 in its simplest form I suppose 3 : 11

Reggie writes the expression m + 8 × (2/3). Which expression is equivalent to the one Reggie writes?

Answers

Answer:

A

Step-by-step explanation:

A)(m+8)(2 ÷3)

Because 2/3 is just 2 divided by 3

Brainliest please?

3x-2y=-3,-9x+6y=9 solve each system using elimination, state the solution and type of system.

Answers

We will see that the system of equations has infinite solutions, each of the form:

y = (3/2)*(x + 1)

How to solve the system of equations?

Here we have the system:

3x - 2y = -3

-9x + 6y = 9

Notice that if we add 3 times the first equation to the second one, we get zero.

3*(3x - 2y) + -9x + 6y  = 3*(-3) + 9

9x - 6y - 9x + 6y = -9 + 9

0 = 0

This actually means that both equations represent the same line, then, the "two" lines intersect in infinite points, meaning that the system of equations has infinite solutions, which are of the form:

3x - 2y = -3

2y = 3 + 3x

y = (3/2)*(x + 1)

If you want to learn more about systems of equations, you can read:

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what is the length of AD and find the measure of angle CAB

Answers

Answer:

AD = 44 and angle CAB = 90 degrees

Step-by-step explanation:

since the shape is a rectangle, all corner angles must be 90 degrees. so CAB is also 90 degrees.

the length of half of BC is 22, so the full length of BC is 44. using symmetry, AD should also be 44.

byebye!<3

¿Alguien me ayuda con estas ecuaciones? :(​

Answers

Answer:

see below

Step-by-step explanation:

7x-12=30

7x=30-+12

x=42/7

x=6

5x-18=77

5x=77+18

x=95/5

x=19

8x+12=36

8x=36-12

x=24/8

x=3

x+45=72

x=72-45

x=27

x+27=82

x=82-27

x=55

x-13=66

x=66+13

x=79

what is 3.20 divided by 5

Answers

Answer:

0.64

Step-by-step explanation:

...........................

Answer:

0.64

Step-by-step explanation:

3.20 divided by 5 is 0.64.

A quadratic equation of the form 0=ax2 bx c has a discriminant value of -16. how many real number solutions does the equation have?

Answers

The given quadratic equation has no real solutions.

Given quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

What does the discriminant of a quadratic equation tell?

The discriminant(D) of a quadratic equation tells about the nature of roots.

If [tex]D > 0[/tex], the roots of the quadratic equation will be real and distinct.

If [tex]D=0[/tex], the roots of the quadratic equation will be real and equal.

If [tex]D < 0[/tex],  the roots of the quadratic equation will be imaginary.

Given that the quadratic [tex]ax^2+bx+c=0[/tex] has a discriminant value of -16.

[tex]D=-16 < 0[/tex]

So, the roots of the given quadratic equation will be imaginary.

So, the given quadratic equation has zero real solutions.

Hence, the given quadratic equation has no real solutions.

To get more about quadratic equations visit:

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When f = 2 and g = 8, n = 4. if n varies jointly with f and g, what is the constant of variation? one-fourth one-half 4 64

Answers

The value of the constant of variation is one-fourth. Then the correct option is A.

What is the constant of variation?

The term "constant of variation" refers to the fact that the relationship between variables remains constant.

The formula will be

y = kx

where k is the variation constant.

When f = 2 and g = 8, n = 4. if n varies jointly with f and g, then the equation will be

n = kgf

Then the value of k will be

4 = (2)(8)k

k = 1/4

More about the constant of variation link is given below.

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Answer:

Keep it simple. Answer: A

Step-by-step explanation:

The zeros of a quartic polynomial function are 2, -2, 4, and -4. Use the zeros to construct a possible sketch of the function on the set of axes

Answers

The sketch of the function on the set of axes is given below:

What are Zeros?

The zero of any real-, complex-, or generally vector-valued function f, is a member x of the domain of function such that f(x)=0 at x; x is the solution to the equation f(x) = 0.

Finding the function:

As we have the zeros 2,-2,4,-4

The function can be:

[tex]f(x)=(x-2)(x+2)(x-4)(x+4)\\f(x)=(x^2-4)(x^2-16)\\f(x)=x^4-20x^2+64[/tex]

The sketch using a graphing calculator:

Learn more about Zeros:

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Gavin invested $100 into a CD account. The account grow at a rate of 5%
each year. What type of equation do this scenario represent?

Answers

Answer: y=5x+100

Step-by-step explanation:

the y intercept is the 100$ invested into the account, and the rate of change is 5

The measure of angle C is 20.5 angles C and D are complementary angles Find m

Answers

Answer:

69.5 if C and D both add up to 90, M=90 if both angles C and D were complementary to combine to a supplementary.

Step-by-step explanation:

You're trying to find m which is a variable for measurement for the "D" angle.

Info Given:

20.5 for angle C

Unknown for angle D

Both angles are Complementary.

_____________________________________________

I have 2 answers for this (The question was stated unclearly so I have 2 interpretations of this)

1st Answer:

If you're asking to solve for M but the C and D angles add up to 90 then do

90 - 20.5 = 69.5

2nd Answer:

We know that both angles are complementary which are 90-degree angles.

If we combine them then the angles add up to 180.

So C and D add up to form a Supplementary Angle.

20.5+69.5 + m = 180

Then M could possibly be 90.

If r(x) = 3x – 1 and s(x) = 2x 1, which expression is equivalent to (startfraction r over s endfraction) (6)? startfraction 3 (6) minus 1 over 2 (6) 1 endfraction startfraction (6) over 2 (6) 1 endfraction startfraction 36 minus 1 over 26 1 endfraction startfraction (6) minus 1 over (6) 1 endfraction

Answers

The expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given binary functions are.

[tex]r(x) = 3x - 1[/tex]

[tex]s(x) = 2x +1[/tex]

The expression which has to be found out is,

[tex]\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{3(6)-1}{2(6)+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{18-1}{12+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{17}{13}\right)[/tex]

Thus, the expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.

Learn more about the equivalent expression here;

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CAN u pls pls pls help its easy for yall not me im slow

Answers

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2.25/.5

Simplify the expression

3 (2d + 5) + 4d

Answers

Answer:

The answer is 10d + 15.

Step-by-step explanation:

Simplify the expression. Calculators are helpful for problems such as these...

6d+15+4d

=10d+15

Good luck

Find the surface area of the cube shown below.

units 2 1/2

Answers

Answer:

Step-by-step explanation:

Answer: 37.5

Explanation: find the surface area of one side, which is 2.5*2.5=6.25 then multiply that product by six, since there’s six sides in a square, and you’ll get 37.5

Pablo wanted to see if a 12-inch straw would fit inside a small retangular box. He noticed that it only fits diagonally. The box has a height of 2 inches and width of 3 inches. What is the length of the box?

Answers

Answer:

11.61895003862225

Step-by-step explanation:

9. What is the volume of the triangular prism
below?
5cm
3cm
4cm
3cm

Answers

Answer:

where is the prism? did u attach a photo of it

The box plot below represents some data set. What is the interquartile range (IQR) of
the data?
-
42
45
48
51
54
57
60

Answers

Answer:

IQR = 5

Step-by-step explanation:

the IQR is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box plot , that is

Q₃ = 51

Q₁ is the value at the left side of the box plot , that is

Q₁ = 46

then

IQR = Q₃ - Q₁ = 51 - 46 = 5

Algebra Find the value of each variable.
pls help

Answers

You forgot the a.

Remember the flat angle is 180. So it’s

2a+24+a=180
3a+24=180
3a = 156
a= 52

EfsrcegcrffdfAbjhbhjgg

Answers

Answer:

what do you need help with

Step-by-step explanation:

Answer:

SAME

Step-by-step explanation:

I am so happy someone else goes through this! I'm SO happy I'm not alone.

What is the value of log subscript 0.5 baseline 16? –4.00 –0.25 1.51 2.41

Answers

Answer:

The correct option is a.

The given expression is,Use property of logarithm

The value of log(0.5) is -0.30103.

The value of given expression is -4.81648.

If the final answer appromatted to preceding integer, then the correct option is -4.00.Step-by-step explanation:

The value of the [tex]log_{0.5}[/tex] (16) will be -4.00 so the correct option will be (A).

What is a logarithm?

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

A logarithm is a power to which a number must be raised in order to get some other number.

A logarithm is useful to find out the values on which power has a variable.

In another word, a logarithm is a different way to denote any number.

If you want to write 1 in logarithm then it will be log(base).

[tex]log_{a}[/tex] (x) = b ⇒ [tex]a^{b}[/tex] = x.

Let's say the given number is x then

x = [tex]log_{0.5}[/tex] (16)

[tex]0.5^{x}[/tex] = 16

Take log by both sides

Log[tex]0.5^{x}[/tex] = log 16

By log property

x log 0.5 = log 16

x = -4.00 hence, the correct answer to the given question will be -4.00.

For more about logarithm

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Noah enjoys building towers in the shape of right rectangular prisms. Noah built a right rectangular prism, the area of
the base is __ square centimeters and the height is __ centimeters.

Answers

Answer:

do you have a picture so I can see more information

For what values of x is the inequality 2/3 + x/3 >1 true?

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{x}{3}[/tex] > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

-1.9y=2.47
rational equations!
please helP!

Answers

Answer: y = -1.3

Step-by-step explanation:

100 points what is the percent of change from 75 to 14 round to the nearest percent

Answers

Let's see

75-14/75×10061/75×1006100/7581.33%

Which of these ordered pairs is a solution to the inequality

y – 2x ≤ –3?


Question 3 options:



(2, 4)



(–2, 3)




(3, 4)



(1, –1)

Answers

The answer is: (1, –1)

...................................

Answers

Since, the fundraiser only have three prices for books($2, $5 and $10), the number of $5 book that was sold is 12.

How to form equation and solve ?

The fundraiser only have 3 prices for books which are $2, $5 and $10.

There were 6 more $5 books sold than $10 books sold.

Let

x = number of $10 book sold

Therefore,

number of  $5 books sold = x + 6

There are 8 more $2 book sold than $10 book sold. Therefore,

number of  $2 books sold = x + 8

A total of $250 was raised.

Therefore, the total amount sold forms the following equation:

10x + 5(x + 6) + 2(x + 8) = 250

10x + 5x + 30 + 2x + 16 = 250

17x = 250 - 30 - 16

17x  = 204

x = 204 / 17

x = 12

learn more on equation here: https://brainly.com/question/27361014

Late night math for you guys to solve

Answers

Length: 6
Width: 10 + 2x

Length: 3
Width: 10 + 4x

Length: 1
Width: 30 + 12x

PLEASE PLEASE HELP ME WITH THIS I NEED ASAP THESE ARE TRUE OR FALSE QUESTIONS

Are the following statements true or false? (20 Points)
a. If the domain of a uniform continuous probability density function is 8.0 then its height is = 0.1684
b.
If the domain of a uniform continuous probability density function is 8.0 then P(14.0< X<26.0) = 0.6092
c.
All normal curves are symmetric and bell-shaped.
d.
By the Empirical Rule 99.7% of the area under a normal curve is within two
standard deviations of the mean.
I
e.
All uniform density functions are symmetric and bell-shaped.
f.
The Standard Normal curve has a mean of zero and a standard deviation of one.
0075

Answers

Answer:

1. true 2. false 3. false 4. true 5. false 6. false or true

Step-by-step explanation:

you're welcome

Can someone please help me again! Tysm!!!

Answers

Answer:

129

Step-by-step explanation:

so they are basically the same angles but on different planes.  Set them equal to each other.

14x+17=19x-23  solve for x

40=5x isolate x by dividing by 5

x=8

check

14(8)+17=19(8)-23

129=129

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