[tex]\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\[/tex]
[tex]\implies \cot \theta = \pm\sqrt{\dfrac 45} = \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,} \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}[/tex]
Answer:
yysywywyyw7e7eueuuwuwuuwueu3u3
-424 +122-72+2
Jason tried to find an expression equivalent to the rational expression
by using
202+1
polynomial long division. His work is shown below.
- 2x + 7x
2x + 1) - 4x4 + 12x3 - 7x + 2
-(-4x4 - 2x2)
14x - 7x + 2
- (14x3 + 7x)
-14x + 2
Jason concluded that -202 + 7+ +
-142+2
was equivalent to the rational expression. Jason's
2x+1
conclusion is incorrect.
O He made a mistake subtracting - 4x4 - 2x² from - 4x4 + 12x² - 7x + 2
He made a mistake by multiplying 2x² + 1 by 2x2
O He made a mistake subtracting 14x + 7x from 14x3 – 7x + 2
O He should have done one more step of long division to divide - 14x + 2 by 2x² + 1
+
Need help understanding this ?
Answer:
The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem. The sum of what was written is -372. There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.
Step-by-step explanation:
What does "by using
202+1
polynomial long division." mean??
do the numbers after the x's represent exponents?
e.g.: "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"
X=-2y,x-y=9 solve by substitution SHOW ALL WORK
Answer:
x = 6, y = -3
Step-by-step explanation:
x = -2y
x-y = 9
Substitute x = -2y into the equation.
;(-2y)-y = 9
-3y = 9
y = 9/-3
y = -3
Substitute y = -3 into the equation.
x = -2y
x = -2(-3)
x = 6
if we pick two respondents at random, what's the probability they both selected purple
Answer:
This depends on what other colors are in the question. But put 1/x and replace the x with how many colors there are and thats thier probabilaty of choosing purple.
Step-by-step explanation:
Theres no possible way of knowing unless you already have met and or know the person so if theres green, blue, pink, yellow, and purple, theres 5 colors and purple is 1 out of them therefore, 1/5
An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?
A table shows the price of two stocks. Stock A, 9.50 dollars; Stock B, 27 dollars.
Answer:
109.5890410958904
Step-by-step explanation:
thats the shares that the investor owns
Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region
Answer:
B 68 sq cm
Step-by-step explanation:
There's an overlap of 4
2*13 + 4
4 * 17 is 68
Katie don't delete my work!
Please Help Quickly I Need Help ASAP
Answer:
the first question is 2,0 and the second answer is 2,5
Step-by-step explanation:
the least common multiple of 9 and 42 through prime factorization?
Answer:
3
Step-by-step explanation:
9= 3*3
42=3*7*2
Assuming all other requirements are met, which of the following taxpayers do NOT qualify for the 2021 Earned Income Tax Credit? Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and investment income of $11,150. Eli is married to Lia; he will file using the married filing separately status. Lia moved out of their home on February 14, 2021. His daughter Zoe, who is his qualifying child, lived with Eli all year. Roy, age 19, is single. He is not a student and has wages of $18,500. He lives with his mother Rae. Rae cannot claim him on her tax return. Leo, age 67, is single with no dependents. He has wages of $7,500 and investment income of $9,650.
Based on the information given, the person who doesn't qualify for the income tax credit will be A. Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and an investment income of $11,150.
It should be noted that the earned income tax credit is important as it helps low-income workers get a tax break.
From the options given, Ivy is the taxpayer that does not qualify for the 2021 Earned Income Tax Credit. This is because she's not a dependent of another person.
Learn more about tax credit on:
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I need help on this question it says Find the quotient 60÷5
Good Day everyone! Kindly give me the formula for finding the original price, discount rate, discount and sale price.
Original price, discount rate, discount and sale price are given but one of them is missing.
Like original price = missing, discount rate = missing, and so on.
Explanation:
The relevant relationships are ...
discount = (discount rate) × (original price)
(sale price) = (original price) - discount
__
Putting these into one equation gives ...
(sale price) = (original price) - (discount rate)×(original price)
Combining terms, yields ...
(sale price) = (original price)×(1 -(discount rate))
This relation can be solved for either of the variables on the right:
(original price) = (sale price)/(1 -(discount rate))
(discount rate) = 1 -(sale price)/(original price)
or ...
(discount rate) = discount/(original price)
Going back to the beginning, you have ...
discount = (original price) -(sale price)
__
To solve for the missing amount, you can choose the formula for which you have the other amounts. Or, you can start with any of the relations that relate the amounts you have, fill in the given values, and solve for the unknown.
It's not rocket science. You see these calculations almost every time you go to the store.
_____
Additional comments
Here, we have assumed a positive value for discount rate and discount, and that the sale price is less than the original price. This is basically the set of relations that are seen by a retail buyer.
If you are the seller, the relations you typically see are ...
(cost price) + (markup) = (selling price)
The markup can be expressed as a percentage of either the cost price or the selling price, or it may be based on some other relation (fixed business costs, for example).
And another one is ...
(markup)/(cost price) = (profit ratio) . . . . often expressed as a percentage
Sometimes the profit is expressed as a fraction of the selling price (business revenue) instead of the cost price.
__
Taxes are added on in the same way that discounts are subtracted:
(final selling price) = (selling price) + (tax rate)×(selling price)
or
(final selling price) = (selling price)×(1 +(tax rate))
Select the equation(s) where X=5 is a solution. *
2x + 4=14
5x=55
6x + 3 =14
8 + 3x= 23
6x = 30
5x =1
Answer:
2x + 4=14
8 + 3x= 23
6x = 30
Help me plz
A)12.7
B)13.3
C)12.4
Answer:
A.
Step-by-step explanation:
solve 2 2/3 x 3 3/5 using an area model of 4 squares.
Answer:
Step-by-step explanation:
the answer
the true answer is A) 4x^2+52x+165=320; x = 2.5
proof:
since they want to limit its area to 320 in^2
x must be equal 2.5, because 4.(2.5)^2+52(2.5)+165= 25+130+165=320;
the main rule of the area of a triangle is
A= (base x height )/2
let be b the base and h the height
so h=20- 6b
so 50= b x( 20-6b) /2, implies 100/b = 20 - 6b
if b=x, we have 100= 20x -6x² this is equivalent to 6x² - 20x = -100
so the answer is
D) None of the choices are correct.
the largest dimensions that can be used for the fountain are
B) x^2+8x+16=800
C) x^2+16=800
proof
x^2+8x+16=x^2+8x+4², 4² is the area of the square fountain, and x^2+8x should be the remaining of the area, the total space that the fountain and sidewalk can use is 800, it is less than 800 ft^2.
Use the same method for. x^2+16=800
Answer:
I don't know but good luck!!!!!
“write each number as a percent”
6 and 1/2 ( mix number)
Help please
Answer:
650%
Step-by-step explanation:
Since percent means "out of one hundred", we can use that to find out the answer6 would be 600 percent, and 0.5 would be 50 percentTherefore, the answer would be 650%Is the converse of the statement valid?
If a is odd, then a + 7 is even.
Yes. If a + 7 is even, then a is odd.
Yes. If a is odd, then a + 7 is odd.
No. If a is even, then a + 7 is odd.
No. If a + 7 is odd, then a is even.
The converse of the statement is valid
Yes. If a + 7 is even, then a is odd.
The converse of a statement is gotten by switching the hypothesis and the conclusion.
In the statement:
If a is odd, then a + 7 is even.
The hypothesis = a is odd
The conclusion = a + 7 is even
The converse of the statement will be:
If a + 7 is even, then a is odd.
The converse statement is valid because if we subtract 7 from an even number, the resulting number will be odd
Learn more on converse statement here: https://brainly.com/question/2751386
Draw the graph of y= -6
Answer:
See attachment.
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x-y=6x−y=6. Fully simplify your answer.
The table shows a function. Is the function linear or nonlinear?
Answer:
nonlinear
Step-by-step explanation:
Olivia and her friends went to the movies with $45 to spend. She bought popcorn for $6.75 and paid
$9.25 for each movie ticket for her and her friends. What was the greatest number of movie tickets Olivia
could have bought?
A. 3
B. 4
C. 5
D. 6
Answer:
5 tickets
Step-by-step explanation:
45 - 6.75 = 37.35
37.35 ÷ 4 = 9.3375
So, she still has enougg for one more ticket. 4 + 1 is 5. 5 tickets
If 3x-2=11, what is the value of 6x+5? PLS HELP
Answer:
approximately 31
Step-by-step explanation:
3X-2=11
3x=13
x=13/3 = 4.3
then 6X+5=6×4.3+5 = 30.8 or approximately
Helpppppppppp asappppppppp 20 points
Here’s a small hint: “miles per hour”
Put the amount of miles over the amount of hours then calculate the amount from there! It’s either the 2nd option or the 4th one! Hope it’s helpful!
Answer:
i say its c
Step-by-step explanation:
Find the slope of the line passing through the points A(-2,2) and B(7, -3)
Step-by-step explanation:
Formula : m = (y2-y1) / (x2+x1)
(-3 - 2) / (7 - - 2)-5 / 9= -0.55555555555Find the 12th term of the geometric sequence.
15, 30, 60, ...
Answer:
465
Step-by-step explanation:
The way I thought about it was I subtracted 30 from 15 and got 15. Then I subtracted 60 from 30 and got 20. My conclusion is you continue to add 5 more to what you added before. 15, 30, 60, 85, 115, 150, 190, 235, 285, 340, 400, 465.
Pls help I’m trying to solve for x
Answer: x = 28
Please give Brainliest if this helped you
Step-by-step explanation:
Original price of coat: $100.00 Discount: 21%
Answer:
$79
Step-by-step explanation:
what number u give me : 1. Bae 2. Bestie 3. Homie 4. R.O.D 5. Shawty 6. Friends 7.Be Mines? 8. Baby Girl 9. Boo 10. Sey Pickle 11. Lil sis 12. Lil bro13. Drug buddy 14. Crush 15. Plug 16. Funny Pickle 17. I miss you 18. Wifey 19. Hubby 20. We kool 22. All mines 23. Daddy
Answer:
14. 1. would u be mine?
Step-by-step explanation:
A line passes through the point ( -1,2 ) and has a slope of 6. Write an equation for this line.
Answer:
y = 6x+8
Step-by-step explanation:
y = mx+b
y = 6x + b
2 = 6(-1)+b
2 = -6+b
8 = b
y = 6x+8
5
Select the correct answer.
Find the slope and the y-intercept of the equation 4x + 5y = -9.
А slope = 4/5 and y-intercept = -(9)/(5)
В. slope = '-(4)/(5) and y-intercept = "19)/(5)
C. slope = *(4)/(5) and y-intercept = -197(5)
D
slope = '(4)/(5) and y-intercept = "9/5
Answer:
slope = -4/5 and y-intercept = -9/5
Step-by-step explanation:
make y the subject of the formula
help me please ^^ I'm getting my grades to all A's for a honerole
Answer:
A
Step-by-step explanation:
Select the algebra tiles that correctly model the problem.
three less than a number
Answer:
This is my answer, Credit to the person on top
Answer: its a
Step-by-step explanation: