If θ is an angle in standard position and its terminal side passes through the point (-9,-5), find the exact value of
cot
θ
cotθ in simplest radical form.
Answers
Answer:
Step-by-step explanation:9/5 is the answer
(-5)^2 + (-9)^2 =c^2
25 + 81 = c^2
106= c^2
Sqr rt 106 = c
By using trigonometric relations, we will see that:
cot(θ) = 9/5.
How to get the cotangent?We know that if an angle's terminal side passes through the point (x, y), then we can write the tangent as:
tan(θ) = y/x
In this case, we know that the terminal side passes through (-9, -5), then the tangent is:
tan(θ) = -5/-9 = 5/9
And the cotangent is the inverse of the tangent, then:
cot(θ) = 1/tan(θ) = 9/5.
If you want to learn more about trigonometric relations, you can read:
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Related Questions
Cadesia has $42.70, which is 175% of the amount that Alisha has. How much money, in dollars, does Alisha have?
Answers
I'M SORRY WHAT IS THY ANSEWR?
Answers
Because there’s 36 possible solutions between the 2 dice and only one of those could get you a sum of 2. So 1 out of 36 or 1/36.
HELP ASAP!! A student is painting a brick for his teacher to use as a doorstop in the classroom. He is only painting the front of the brick. The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11). What is the area, in square inches, of the painted face of the brick?
A. 42 in2
B. 52 in2
C. 104 in2
D. 128 in2
Answers
Answer:
104in2
Step-by-step explanation:
The area, in square inches, of the painted face of the brick is Option C 104 \(in^{2}\).
Using the Quadrant system of the Number line
B (-4,2) lies in the 2nd quadrant.
C (-4,-11) lies in the 3rd quadrant
A (4,2) lies in the 1st quadrant
D (4,-11) lies in the 4th quadrant
Length of Side AB= Length of Side CD= Distance between x coordinate of A & B OR Between C & D i.e. 8 in
Length of Side BC= Length of side AD= Distance between y coordinate of A & D OR Between B & C i.e. 13 in
Area of the Square ABCD= (length of Side AB or CD) X (Length of Side BC or AD)
= (8 x 13) \(in^{2}\)
= 104 \(in^{2}\)
Thus, Area of square is 104 \(in^{2}\).
To learn more about area: https://brainly.com/question/25292087
Which of the following inequalities is correct?
Answers
Answer:
the correct answer is A.
Step-by-step explanation:
-a is lower than -c
Answer:
I would say b is correct hopefully I pray that it is
Step-by-step explanation:
In 2020, Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres. Researchers expect deforestation to cause the area of Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade. In what year do they expect the areas of the forests to be the same?
Answers
Answer:
In about 2073, 3440 acres
Step-by-step explanation:
Determine the equation for each forest. Forest A: y=-105x+4000 Forest B: y=-30x+3600There are a number of ways to solve a system of equations, but for this we are first going to solve for x when -105x+4000=-30x+3600. In this case, x=5 1/3.Then, we are going to plug 5 1/3 in as x into one of our equations. To double check you have this right, you may do both. If our equation is y=-30(5 1/3)+3600, then y=3440.Add 5 1/3 decades or about 53 years to 2020.Therefore, they expect the area of the forests to be the same in about 2073. At this time, both will have an area of about 3440 acres.
In 2073 the areas of the forests to be the same.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres.
If Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade.
let the number of decades occur be x
So, the equation is
4000 - 105x= 3600 - 30x
400 = 75 x
x= 5.33
x= 53.3 years
Hence, In 2073 the areas of the forests to be the same.
Learn more about equation here:
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Emilio is modeling 4.62 ÷ 6 . How should he exchange the place-value blocks so he can make 6 equal shares
Answers
Answer: Change 4.62 to 462.
Step-by-step explanation: If you multiply 4.62 by 100 you get 462.
1) 46/6 = 7 r 4
2) Drop down the 2 and 42/6 equals 7.
3) This will make each person get 77.
Answer: 77
(Please consider brainliest)
I NEED HELP WITH THIS!!!!!
this about like (mean,median,mode,range)
To find the mean, you ____
up all the numbers and then ____
by how many _____ you had.
Answers
A long-distance telephone company charges $4.95 per month and $0.07 per minute for phone calls.
What is the independent variable quantity in this situation?
Answers
Y = $0.07x+$4.95
Also, is that an umbrella academy pfp?
Please help me out with this question
Answers
Answer:
-2.72
Step-by-step explanation:
-8.16 / 3 = -2.72
Extra:
3(-2.72) = -8.16
SOMEONE PLEASE HELP IF I GET ONE QUESTION WRONG IM GONNA GET MY BUTT BEAT!
Use the table to write the slope-intercept equation of the line below.
Answers
Answer:
Hope this helps :)
Step-by-step explanation:
1. Plot at least 10 points whose y-coordinate is -4.
What do you notice about them?
2. Which equation makes the most sense to represent all of the points with -coordinate -4? Explain how you know.
Answers
Answer: answer in screenshots down below
Step-by-step explanation:
How does a double number line help you find percents?
Don't scam me
Pls help rn
Answers
Answer:
It splits every integer in whole number mixed fraction, decimals, fraction.Helps to ratio between numbersMake a fraction and multiply by 100 to find percentage.For example refer to the image given below. the point is 1/8
1/8 * 100
12.5% ...........we found percentage through number line much more easily.
Answer:
Step-by-step explanation:
Here in the figure the upper one represents the quantity and the lower one represents the percent. 20% of 75 = 15 which is shown in the figure. 60% of 75 is 45. So, in this way, a double number line helps you find percents.
Peter is buying a computer monitor that is 20 inches tall and has a distance of 29 inches between opposite corners. What is the width of Peter's new monitor?
Answers
Plug numbers in pathagerom therom and solve
3. Write the equation of a line in slope-intercept form that passes through the following points: (3,-8) and (-12,2).
Answers
Answer: Y=-2/3x-6
Step-by-step explanation:
we subtract both y1 x1 and y2 x2:
2-(-8)
-12-3 =
10/-15 = -2/3 (Equivalent fraction)
y=-2/3x + b
we need to plug in the first point which is (3.-8)
-8=-2/3(3) the 3 cancels out and we are left with -8=-2
we subtract and get -6 which is our Y intercept
just an addition to the decent posting above
\((\stackrel{x_1}{3}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-12}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{(-8)}}}{\underset{\textit{\large run}} {\underset{x_2}{-12}-\underset{x_1}{3}}} \implies \cfrac{2 +8}{-15} \implies \cfrac{ 10 }{ -15 } \implies - \cfrac{ 2 }{ 3 }\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{- \cfrac{ 2 }{ 3 }}(x-\stackrel{x_1}{3}) \implies y +8 = - \cfrac{ 2 }{ 3 } ( x -3) \\\\\\ y+8=- \cfrac{ 2 }{ 3 }x+2\implies {\Large \begin{array}{llll} y=- \cfrac{ 2 }{ 3 }x-6 \end{array}}\)
Help please
Worth 10 pts
Answers
b. the height is 10
c. the shaded part is called the circular plane surface
Simplify negative 3 over 4 divided by 2 over negative 8.
Answers
Answer:
-3/4 ÷ -2/8 = 3
the answer is 3
Answer:
3
Step-by-step explanation:
3/4 / 2/8
Keep change flip
3/4 x 8/2
Multiply the numerators and denominators
24/8
Simplify
24/8=3
Alexi bought 5 T-shirts for $12 each and 3 pairs of socks for $2 a pair. Which expression shows how much Alexi spent in dollars. Explain
a) 5 × 12 x 3 × 32
b) 5 × 12 + 3 × 32
c) (5+3) × (12 + 2)
Answers
Answer:
b
Step-by-step explanation:
so hope it help,have a nice day!
Alexi bought 5 shirts. Given that each of them costs 12 dollars, we can say that the equation for their price is:
12 + 12 + 12 + 12 + 12 or just 5 x 12
Now, Alexi also bought socks. 3 pairs of them, in fact. Given that each pair was an astounding 2 dollars, we would get this equation:
2 + 2 + 2 or just 3 x 2
Of course, Alexi bought these things together, so they must pay for both things. The total price would be
5 x 12 + 3 x 2 or 66 dollars
If the probability of Eva Claire drawing a white sock from the laundry is 1/5 and she randomly draws 1 sock at a time and replaces it, how many times would you expect Eva Claire to get a white sock if she tries 255 times?
Answers
Answer:
51
Step-by-step explanation:
1/5 of 255 is 51
Answer:
51 time
Step-by-step explanation:
I just know. May god bless your day.
<3
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
A number more than 7.
NEED ANSWER FAST!!!!!
Answers
unless you meant to type “A number is more than 7” then it would be x>7
write the equation in slope-intercept form of the following table
Answers
Answer:
Step-by-step explanation:
Take any two points and find the slope.
(3,7) ; (9,5)
Slope =\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)
\(=\frac{5-7}{9-3}\\\\=\frac{-2}{6}\\\\=\frac{-1}{3}\)
Equation: y -y1 = m(x -x1)
\(y - 7 = \frac{-1}{3}(x - 3)\\\\y -7 =\frac{-1}{3}x -3*\frac{-1}{3}\\\\y -7=\frac{-1}{3}x+1\\\\y = \frac{-1}{3}x+1+7\\\\y=\frac{-1}{3}x+8\)
Pls help! Error Analysis problem
Answers
Answer:
Ana made a mistake from line 2 to 3
Step-by-step explanation:
From line 2 to 3, on the left side, ana added 2 and 3 but completely ignored the - in front of the 3. the correct answer would have been -x - 21 = 3x + 19
Answer:
Ana made a mistake from line 2 to 3
Step-by-step explanation:
What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3
** explain like why you did each step im hella confused thanksss
Answers
Answer:
Hey There!
Let's solve....
Isolate for x first which is
\(x = \frac{3 + 3y}{4} \\ \)
\(substitute \: x = \frac{3 + 3y}{4} \\ \\ \brack \: 5 \times \frac{3 + 3y}{4} - 4y = 3 \\ \\ \)
Now simplify...
\( \brack \: \frac{15 - y}{4} = 3 \\ \\ = y = \frac{15 - 3}{4} \\ \\ = \frac{12}{4} \\ simplify \\ \\ \frac{ \cancel{12} ^{3} }{ \cancel{4}^{1} } \\ x = 3\)
Y=3
We need to find value of y first... now x
\(x = \frac{3 + 3 \times 3}{4} \\ \\ =x = \frac{3 + 9}{4} \\ \\ = x = \frac{12}{4} \\ simplify \: \frac{ \cancel{12}^{3} }{ \cancel{4} ^{1} } \\ \\ value \: of \: x = 3 \)
I hope it is helpful to you...Cheers!_____________Answer:
x = -1.3
I hope this is right, and I am sorry if this is wrong if it is! I rlly hope this helps you out and you can understand my method and the way I typed this!!
Step-by-step explanation:
We are going to use one of my fav methods! The substitution method!
Set this aside for now: 4x - 3y = 3 We gonna use this one: 5x - 4y = 3
5x - 4y = 3
= 5x - 3 = 4y
( also, the subtraction is with the 4y as a negative, so 4y would be positive if you moved it!)
Divide all of the equation by 4!
y = \(y = \frac{5x - 3}{4}\)
Now, you take take the other equation and substitute the y with what you have above!
\(4x - 3 times \frac{5x - 3}{4} = 3\)
you cross multiply 4( the denominator) with the other side that has only a three!
4x - 3 \(times 5x - 3\) = 12
4x - 15x - 3 = 12
-11x - 3= 12
Move the three to the other side become positive!
-11x = 15
divide both sides by -11
x = -1.3
.02x + .02 = .08 solve for x
Answers
Answer:
x = 3Step-by-step explanation:
.02x + .02 = .08 solve for x
0.02x + 0.02 = 0.08
0.02x = 0.08 - 0.02
0.02x = 0.06
x = 0.06 : 0.02
x = 3
----------------
check
0.02 * 3 + 0.02 = 0.08
0.06 = 0.08 - 0.02
0.06 = 0.06
The answer is good
x = 3
hope this helps you :)
Need answer asap please and thank you :)
Will give brainly if its right
Answers
Answer:
5 to the 9th power
Step-by-step explanation:
Answer:
5^9 or 5⁹
Step-by-step explanation:
Just round and then count the 0's!
What is the answer? I guessed 4,000 on my test and it was wrong.
Answers
Answer:
6721
Step-by-step explanation:
Which expressions are factors of the expression below? Select the three correct answers.
-24xyz-12xy+20xyz
A:xy
B:12xz
C:2xy
D:3y
Answers
Answer: −
4xy(z+3)
Step-by-step explanation:
thats the answer
Please dont let this go by.. I really need help
Answers
Find the slope of the line passing through the points (-3,1) and (-3,-6).
Answers
Answer:
undefined
Step-by-step explanation:
Order the numbers from closest to zero to farthest from zero:
4.38, l4.5l, l-4.6l, -l4.9l
HELPPPPP
Answers
The smallest number is the one closest to zero, or after zero, if it's a negative number, while the largest number is the number with the largest difference from the smallest, or the highest of value (not considering all situations). Usually, you would use the ascending order method for graphing numbers based on their value, which is indeed smallest to largest. According to thefreedictionary.com, "A function or variable continuously approaching zero as a limit." Tip: In ordering numbers based on value, the whole numbers that aren't negative are considerably believed to be the easiest numbers to order.
With that being said, here is the order of the numbers from smallest to largest:
4.38
4.5
4.6
4.9
Answer:
Here are the numbers ordered from closest to zero to farthest from zero:
4.38 (closest to zero)
4.5
-4.6
-4.9 (farthest from zero)
Step-by-step explanation:
Volume
From the page you printed out, cut out the nets of the cubes labeled A and B. Fold the nets and tape or glue them together to make cubes.
Part A
What is the side length of cube A? Write the length in inches. (Use fractions if necessary.)
Part B
What is the volume of cube A?
Part C
What is the side length of cube B? Write the length in inches. (Use fractions if necessary.)
Part D
What is the volume of cube B? How many cubes identical to cube A are needed to fill cube B?
Answers
Answer:
Please provide the page that you printed.
Step-by-step explanation: