Answer:
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Step-by-step explanation:
Fundamental identities:
These following trigonometric identities are used to solve this question:
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
With the cossecant, we can find the sine. So:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\frac{11}{4} = \frac{1}{\sin{\theta}}[/tex]
[tex]11\sin{\theta} = 4[/tex]
[tex]\sin{\theta} = \frac{4}{11}[/tex]
With the sine, we find the cosine.
Since the tangent is negative, the cosine is negative. So
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex](\frac{4}{11})^{2} + \cos^{2}{\theta} = 1[/tex]
[tex]\frac{16}{121} + \cos^{2}{\theta} = \frac{121}{121}[/tex]
[tex]\cos^{2}{\theta} = \frac{105}{121}[/tex]
[tex]\cos{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Cotangent:
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{-\frac{\sqrt{105}}{11}}{\frac{4}{11}}[/tex]
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
What will be the return value of =SUM({10;15;20;25;30})?
Answer:
The return value is 100
Step-by-step explanation:
Given
[tex]=SUM({10;15;20;25;30})[/tex]
Required
Determine the return value
In Microsoft Office Excel, the sum of values is represented as:
[tex]=SUM({a_1;a_2;a_3;.....;a_n})[/tex]
This is interpreted as:
[tex]SUM= a_1;a_2+a_3+.....+a_n[/tex]
So, in the case of:
[tex]=SUM({10;15;20;25;30})[/tex]
The return value is:
[tex]Value= 10 + 15+ 20 + 25 + 30[/tex]
[tex]Value= 100[/tex]
Hence, the return value is 100
Apply the distributive property to factor out the greatest common factor of all three terms. 24c + 36d + 18 =
Answer:
[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]
Step-by-step explanation:
Given
[tex]24c + 36d + 18[/tex]
Required
Factorize
[tex]24c + 36d + 18[/tex]
Expand each term
[tex]6*4c + 6 *6d+6 *3[/tex]
Factor 6 out of the expression
[tex]6(4c + 6d+3)[/tex]
Hence:
[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]
Answer:
6(4c+6d+3)
Step-by-step explanation:
x² - 2x >0 solve this question
Answer:
x2 = x times x which is 2x and 2x means the same thing so x2 - 2x = 0 this is equation A , going to equation b on the other side ( 0 ) zero is zero no equation is needed therefore 0=0
Step -by-step explanation:
Find the value of the missing angles.
Answer:
t=62
w=37
v=118
Step-by-step explanation:
Divide 6,580 ÷ 31
A.212 r 2
B.212 r8
C.214 r2
D.214 r 8
I need help with This one
Answer:
1 and 2
Step-by-step explanation:
If y was 1: -2 x 1 + 18 = -2 + 18
= 16 This works
If y was 2: -2 x 2 + 18 = -4 + 18
= 14 This works
If y was 3: -2 x 3 + 18 = -6 + 18
= 12 This does not work since -2y + 18 has to be greater than 12.
A store pays $13 for a bicycle helmet and marks up the price by 40% what is the amount of the mark-up?
Answer:
Step-by-step explanation:
the amount of mark up is
13*(40/100)=5.20
Jordan drives for three hours at an average of 60 miles per hour what is the distance in miles he drives during that time
Answer:
d = 180 miles
Step-by-step explanation:
Given that,
The average speed of Jordan, v = 60 mph
Time, t = 3 hours
We need to find the distance he drives during that time. Average speed is equal to the distance divided by time taken.
v = d/t
[tex]d=v\times t\\\\d=60\times 3\\\\d=180\ \text{miles}[/tex]
So, the distance driven during that time is 180 miles.
HELPPPPPPPP IM STUCK
Answer:
10 students
Step-by-step explanation:
Function Operation helppppppppppp
2 2/3 x 1 1/8
Multiply mixed fractions
Answer:
3
Step-by-step explanation:
Some states pay $0.05 for each can that is recycled. Which graph represents the amount of money earned, y, by recycling x cans in these states?
Answer:
The first picture/20 cans = 1 dollar
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Ten less than three times a number is 2.
Answer:
the number is 4
Step-by-step explanation:
4 times 3=12
12-10=2
hope this helps!
Answer:
it's 7!
Step-by-step explanation:
You paint four walls. Each wall is a rectangle with a length of 18 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?
Answer:
you will need exactly 2.7 gallons of paint but if rounded you'll need 3 gallons
Step-by-step explanation:
Im so close please help
You were correct on your guess, C. Circumcenter
May I have brainliest please? :)
I need help ASAP!!!,
Which of the following would be a possible solution to the system of inequalities given below?
Answer:
b
Step-by-step explanation:
i just took the quiz plz mark brainliest
Complete the calculations so that each shows the correct sum. (WILL MARK THE BRAINLIEST!!!)
Answer: a. 2.964 b. .262
Answer:
2.964
Step-by-step explanation:
Hope this helps!
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
A book is 9 inches wide and 13.5 inches tall.
What will the area of the front of the book?
Answer:
121.5
Step-by-step explanation: so what u are supost to do is multiply the sides which will give you your answer of 121.5.
Answer:
[tex]area = (l \times w) \\ = (13.5 \times 9) \\ = 121.5 \: {inches}^{2} [/tex]
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Answer:
htrhtfgntymy67n
Step-by-step explanation:
jrtyk,k5m7tk,kmm tyjtykmnty rjjmn67ktyjkumuymjty
What is the slope of the line below?
Starting from the number you walked to in Part c, walk to the opposite of that number. Which number did you end up on? How many steps did you take?
Answer:
The opposite number would probably be -3, and it'd take 6 steps. Sorry if this is wrong. If it is, I'll correct it! :)
Step-by-step explanation:
It is Moesha's birthday. Her mom gives her $10, and her dad gives her $15. Moesha uses her gifts to buy a doll for $20.
Both expressions below represent how much money she has left.
Expression 1: $10+ $15 - $20
Expression 2: ($10+ $15) - $20
Why is expression 2 better than expression 1 in representing Moesha's situation?
A Expression 2 stresses that the doll could not be bought without parents' gifts.
B Expression 1 separates the money that Moesha got as gifts from the money that she spent.
C Expression 2 shows Moesha's parents gave her a doll.
D Expression 1 does not solve to the correct amount of money that Moesha has left.
Answer:
the answer is B
Step-by-step explanation:
Solve the Equation
-x+8+3x=x-6
x=-18
x=-14
x=2
x=4
Answer:
x= -14
Step-by-step explanation:
-x+8+3x=x-6
2x+8=x-6
2x-x=-6-8
x= -14
The value of x in the equation is -14
How to solve the equation?We have:
-x+8+3x=x-6
Collect like terms
3x - x - x = -6 - 8
Evaluate the like terms
x = -14
Hence, the value of x in the equation is -14
Read more about equations at:
https://brainly.com/question/2972832
#SPJ9
How were salt and sugar represented differently in the simulation?
Answer:
Each state of matter behaves differently and the particles in each state behave ... Take a good look at the picture of the particles in a solid (table salt) above. You will ... What did you observe in the container immediately after the liquids were mixed?
Step-by-step explanation:
Is that what you were looking for?
15 to 18 =
What are 3 equivalent ratios for 15 to 18
Answer:
5 to 6 or 30 to 36
Step-by-step explanation:
15/3=5, 18/3=6, 15*2=30,18*2=36
Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. Assume that numbers can start with 0. What is the probability of choosing a random number that starts with 4 from this group
Answer:
[tex]P_4= 0.2[/tex]
Step-by-step explanation:
From the question we are told that
Consider all seven-digit numbers
Created from the digits 0-9
Generally number of digits that starts with 6 is mathematically given as
The total amount of digits from 0-9(0,1,2,3,4,5,6,7,8,9 = 10
The total amount of even digits within 0-9 (0,2,4,6,8) = 5
The total amount of 3-digit numbers giving the first and last digits to be even = 5 * 10 * 5 = 250
The total 3-digit numbers giving the first digit is 4 and last digit is even = 1 * 10 * 5 = 50
Probability the number starts with 4
[tex]P_4 = \frac{50}{250}[/tex]
[tex]P_4= 0.2[/tex]
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
1. Isolate x in the first equation:
2. Substitute the value for x into the second equation:
3. Solve for y:
4. Substitute y into either original equation:
5. Write the solution as an ordered pair:
x = 7 – 3y
2(7 – 3y) + 4y = 8
14 – 6y + 4y = 8
14 – 2y = 8
–2y = –6
y = 3
x + 3(3) = 7
(, )
Answer:
The solution to the system of equation is: (-2,3)
Step-by-step explanation:
We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
I am placing steps for each point given
1. Isolate x in the first equation:
First equation is:
x+3y=7
Isolating x:
x=7-3y
2. Substitute the value for x into the second equation:
Second equation is:
2x+4y=8
Putting value of x: x=7-3y
2(7-3y)+4y=8
3. Solve for y:
2(7-3y)+4y=8
Multiply 2 with terms inside the bracket
14-6y+4y=8
-2y=8-14
-2y=-6
y=-6/-2
y=3
So, we get value of y: y=3
4. Substitute y into either original equation:
Putting value of y: y=3 in equation 1
x+3y=7
x+3(3)=7
x+9=7
x=7-9
x=-2
So, we get value of x: x=-2
5. Write the solution as an ordered pair:
After solving the equation we get:
x = -2 and y = 3
The ordered pair is: (-2,3)
Answer:
-2,3
Step-by-step explanation:
Isolate x in the first equation:
Substitute the value for x into the second equation:
Solve for y
Please give me brainiest
827774 x 86567 x 87893087 x 878904 x 8907389 x 0 x 7890 x 7893 see if you can answer that nice job if u did
Answer:
hm
Step-by-step explanation:
Need to solve help plz