Answers
Given:
[tex]\theta_1[/tex] is located in IV Quadrant.
[tex]\sin (\theta_1)=-\dfrac{24}{25}[/tex]
To find:
The value of [tex]\cos \theta_1[/tex].
Solution:
We have,
[tex]\sin (\theta_1)=-\dfrac{24}{25}[/tex]
We know that,
[tex]\sin^2 \theta+\cos^2\theta=1[/tex]
So,
[tex]\sin^2 (\theta_1)+\cos^2(\theta_1)=1[/tex]
[tex]\left(-\dfrac{24}{25}\right)^2+\cos^2(\theta_1)=1[/tex]
[tex]\cos^2(\theta_1)=1-\dfrac{576}{625}[/tex]
[tex]\cos^2(\theta_1)=\dfrac{625-576}{625}[/tex]
Taking square root on both sides, we get
[tex]\cos (\theta_1)=\pm \sqrt{\dfrac{49}{625}}[/tex]
[tex]\cos (\theta_1)=\pm \dfrac{7}{25}[/tex]
[tex]\theta_1[/tex] is located in IV Quadrant. In IV Quadrant the value of cos is positive. So,
[tex]\cos (\theta_1)=\dfrac{7}{25}[/tex]
Therefore, [tex]\cos (\theta_1)=\dfrac{7}{25}[/tex].
Related Questions
Jadon wants to buy a new game system that costs
$109, including tax. He currently has $15 saved. He
began a pet sitting service and charged $5 per dog.
What is the fewest number of dogs he would have to
watch to have enough money to buy the bike?
Answers
Answer:
try adding togther
Step-by-step explanation:
Someone please help me on these 2 problems!
Answers
1) function 2) not a function
the first one is a function because its y values are the same number (3), which means it is a horizontal line and horizontal lines are functions.
the second one is not a function because the coordinates cannot have different inputs but different outputs. each input must have only one output.
the coordinates for the second one are:
(2,5); (1,1); (1,2); (3,2)
and a function cannot have two same x-coordinates. it must pass the vertical line test which is a way to tell if something is a function or not. since the second graph does not pass the vertical line test, it is not a function
hope this helps :)
Jaxon and Lucius were selling lemonade. Jaxon and Lucius have a difference of 5 cups sold. Jaxon was selling his for $6 a cup and Lucius was selling his for $3 a cup and together they made $300 in revenue. How many cups did Jaxon and Lucius sell each?
1. Define your variables: x is ______. y is ________. (4 points)
2. Write two equations (6 points)
Solve this system of equations using all three methods: graphing, substitution and elimination.
Show all your work.
Remember your graph should match the answers for the other two methods. All answers should be identical, it's just 3 different ways of solving the same problem.
3. Solve using graphing. Include your graph with labels. (10 points)
4. Solve using substitution. Show all work. (10 points)
5. Solve using elimination. Show all work. (10 points)
6a. What is the solution? This should be written as an ordered pair. (2 points)
6b. What does the answer mean in context of the problem? In other words, explain your answer with words/labels. (3 points)
Answers
Answer:
the points are (35,30) you may need to search a graph online i used desmos
Step-by-step explanation:
1. x= Jacksons Cups y= Lucius Cups2. x - y= 5 6x + 3y = 300Substitution: 6 (y+5) + 3y = 300 6y + 30 + 3y = 300 9y = 270 dived both by 9 y=30 Sub y for other equation x - 30 = 5 add 30 to both sides x = 35 Answer: (35, 30) Graphing: x- y = 56x+ 3y = 300solve both for y y = x-5 6x + 3y = 300minus 6x from both sides the points are in y = mx + b y= 1x -5 y= -2x + 100 I will also leave the ss of the graph in the comments if you cannot see it My labels for the x-axis is Jacksons cups and y Is luscious cups. Elimination:x - y = 5 6x + 3y = 300 First I manipulated the equations by the following - 6 (x - y = 5 ) 1(6x + 3y = 300 ) -6x + 6y = -30 6x + 3y = 300 The 6 x's cancel and add the y's and real numbers together 9y = 270 dived both by 9 y= 30 Sub y for other equation x - 30 = 6 add 30 to both sides x= 30 The points are (35, 30) The solution is (35,30)They represent how many cups they sold. 35 is Jackson cups and 30 is Lucious's cups
Two sides of a rectangle have lengths 5 and 8. What is the perimeter
Answers
Answer: 26
Step-by-step explanation: 2 sides are 8 and 2 sides are 5. 5 plus 5 equals 10 and 8 plus 8 equals 16. Finally, 16 plus 10 is 26. Hope this helps! And I would really appreciate getting brainliest if I get it it right!
Answer
i think 1600
Step-by-step explanation:
it maybe 1600 bc if you times 5 and 8 two times you get that answer i am not smart but maybe
Which graph has a rate of change of zero?
Answers
Answer:
The horizontal line
Step-by-step explanation:
Answer:
The horizontal line has a rate of change of 0, since it has a slope of 0Step-by-step explanation:
On the other hand, the vertical line has an undefined slope.
Slope is rise/run or change n y over change in x.
If the y axis coordinate never changes, then rise = 0. The only number that changes is x. x changes 1 for every 0 y changes. 0/1 = 0.
In a vertical line, however, the x coordinate is the one that doesn't change. We reverse the number from before, but we have a problem 1/0 is an undefined number since you cannot divide by 0.
Answer is second graph shown
if 9 calculators cost £96.30. How much do 13 calculators cost
Answers
Step-by-step explanation:
First, you want to start by creating an equation to find the unit rate
calculators = c
9c = 96.30
Solve!!!
9c/9 = 96.3/9
c= 10.7
A calculator costs $10.70 (Sorry I will be using the dollar sign instead)
Now you want to set an expression for 13 calculators
13c
Substitute 10.7 in
13(10.7)
Multiply them
$139.10
13 calculators cost $139.10
I hope this helps!!!
g(x) is the transformation the parent function f(x)=x2 after being reflected over the x-axis and translated 4 units left. What is the equation for g(x)?
Answers
Answer:
Reflection across the x-axis: y = − f ( x ) y = -f(x) y=−f(x) The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis. The only difference is that, rather than the y-axis, the points are reflected from above the x-axis to below the x-axis, and vice versa.
the equation for g(x) after reflected over x axis and translated 4 units left
[tex]g(x)=-(x+4)^2[/tex]
Given :
Parent function is [tex]f(x)=x^2[/tex]
When a graph is reflected over x-axis then f(x)=-f(x)
When a graph is translated 'a' units left then we add 'a' with
f(x) becomes f(x+a)
Parent function f(x) is reflected over x-axis , multiply -1 with f(x)
so , [tex]f(x)=-x^2[/tex]
Now we translate 4 units to the left, add 4 with x
[tex]g(x)=-x^2\\g(x)=-(x+4)^2[/tex]
The final equation of g(x) is
[tex]g(x)=-(x+4)^2[/tex]
Learn more : brainly.com/question/9111027
All of the middle-school mathletes solve math problems at the same pace. Working together, six mathletes complete all of the summer homework in 22 hours. How many hours will the homework take if the number of mathletes? PLEASE HELP
Answers
Answer:
44 hours
Step-by-step explanation:
because if its half it will take twice as long
Answer:
44 hours
Step-by-step explanation:
If you decrease the amount of participants in half, the amount of time that it takes per work load automatically doubles. So if the original amount of hours that it took with six participants is 22. If we cut six into half, then 22 hours would double into 44. Then it would become 44 hours with three people. Also, for check, I did have this problem for RSM.
what is 9m + 5m + 3?
Answers
Answer:
17m
Step-by-step explanation:
EXPLANATION:
Simplify
combine like terms
9M+5M+3
14M+3
Donald bought a box of golf balls for $9.30. There were 18 golf balls in the box. About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.
Answers
Answer:
$0.52 per ball approx.
Step-by-step explanation:
Step one:
given data
we are told that the cost of the box of gulf is $9.30
and there are 18 golf balls in the box
Required:
we are to determine the cost of each ball
the cost is
Step two:
Cost per ball= total cost of the box/number of ball
Cost=9.30/18
Cost= $0.52 per ball approx.
one more than the product of 6 and a number v?
Plzzzzzz help me:(
And PLZZZ answer right
Thank u!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!:)
Answers
The answer would be 1+6*f
Hope this helps
Have a fantastic day
70 = 7x - 7(2x - 5)
How do I solve this ?
Answers
Answer:
x=-5
Step-by-step explanation:
70=7x-7(2x-5)
70=7x-14x+35
70-35=-7x
35=-7x
5=-x
-5=x
7,707 ÷ 24 with remainder
Answers
Answer:
321 remainder 3
Step-by-step explanation:
The remainder of 7,707 ÷ 24 is 3
What is the quotient remainder theorem?When we want to prove some properties of modular arithmetic we often make use of the quotient remainder theorem. It is a simple idea that comes directly from the long division. Given any integer A and a positive integer B, there exist unique integers Q and R such that
A= B * Q + R where 0 ≤ R < B
Given here 7,707 ÷ 24 this can be written as follows:
7707 = 321×24 + 3
Thus comparing with the above equation we get the remainder as 3
Hence the required form is 7707 = 321×24 + 3
Learn more about the remainder theorem here:
https://brainly.com/question/29046143
#SPJ2
function or not a function?
Answers
Answer:
Not a function.
Step-by-step explanation:
There must only be one output per input but here we see the input 18 has two outputs ; 3 and 15 therefore this is not a function.
A quadrilateral has the following qualities.
1. opposite sides are congruent and parallel
2. opposite angles are congruent
Which figure is being described?
kite
parallelogram
triangle
trapezoid
Answers
Answer:
Concept: Vector Qualities
A quadrilateral is defined as any figure with two parallel sides, connected linearly aka a square, with four defined right angles To be congruent and parallel they must be slanted To be congruent they must be mutually parallel Hence it is a parallelogramAnswer:
kite
Step-by-step explanation:
1.opposite sides are congruent and parallel
2. opposite angles are congruent
In a park of dimensions 20 m × 15 m, there is a L shaped 1m wide
flower bed as shown in Fig. 9.61. Find the total cost of manuring for
the flower bed at the rate of Rs 45 per m2
.
Fig. 9.61
117. Dimensions of a painting are 60 cm × 38 cm. Find the area of the
wooden frame of width 6 cm around the painting as shown in Fig.
9.62.
Answers
What is the value of x?
Answers
Answer:
38 is the answer to your question hope that helps
Answer:
71° and 71°
Step-by-step explanation:
This is isosceles triangle.
So,
[tex]38 + x + x = 180 [/tex]
[tex]38 + 2x = 180[/tex]
[tex]2x = 180 - 38[/tex]
[tex]2x = 142[/tex]
[tex]x = 142 \div 2[/tex]
[tex]x = 71[/tex]
Hope this will help you.
and comment me to tell your country
What is the answer to 22.4 x 1.73
Answers
Answer:
38.752
Step-by-step explanation:
Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 4 as x approaches 4 from the left . (2 points)
∞ ; x = -4
-∞ ; x = -4
-∞ ; x = 4
1 ; no vertical asymptotes
Answers
Answer: By using the graphs and tables, the best and most correct answer among the choices provided from your problem about vertical asymptotes is the first choice or letter c) -∞ ; x = 4. It is shown that according to the condition in the problem, the limit is negative infinity and the vertical asymptote is x = 4. I hope it has come to your help.
Step-by-step explanation:
Answer:
-infinity, x=4
Step-by-step explanation:
Took the test and the answer was right
I need help with this please
Answers
Answer:
omg whats the answer
Step-by-step explanation:
1. Melissa took out a loan of $50,000 with an interest rate of 2.3% for the start-up of the Math Cafe. How much will she owe the bank if the loan term is for five years? Explain how you got your answer.
Answers
Answer:
$55,750 a
Step-by-step explanation:
Given Principal P = $50,000
Rate R = 2.3%
Time T = 5 years
Get the interest first
Simple interest = PRT/100
Simple interest = 50,000*2.3*5/100
Simple interest = 500*2.3*5
Simple interest = $5,750
Amount = Principal + Interest
Amount = $50,000 + $5,750
Amount = $55,750
Hence she will owe the bank $55,750 after 5 years
plz plz plz help me....
the product of digits in a two digit number is 12. the number formed by interchanging the digits of that number will be 9 less than the original number. find the original number.
Answers
Answer:
Let the tens digit of the required number be x and the units digit be y. Then,
x+y=12 .........(1)
Required Number = (10x+y).
Number obtained on reversing the digits = (10y+x).
Therefore,
(10y+x)−(10x+y)=18
9y−9x=18
y−x=2 ..........(2)
On adding (1) and (2), we get,
2y=14⟹y=7
Therefore,
x=5
Hence, the required number is 57.
Step-by-step explanation:
Hope it is helpful...
Step-by-step explanation:
Let X be the 1st digit and Y be the 2nd digit of the two digit number.
We have X * Y = 12 and (10X + Y) = (10Y + X) + 9.
=> XY = 12 and 9X = 9Y + 9
=> XY = 12 and X = Y + 1
Therefore X = 4 and Y = 3. => Number is 43.
Please help I’ll give you brainlist or something
Answers
Answer:
G is 4,2 f − 1 ( x ) = x 5 + 2 5
Step-by-step explanation:
Can someone please help me!
Answers
Answer:??? sry
Step-by-step explanation:
Do y’all know the answer to this math question?
Answers
9514 1404 393
Answer:
BC = 35
Step-by-step explanation:
The sum of the segments is the overall length.
AB +BC = AC
(2x +6) + (6x +5) = 51 . . . . substitute given values
8x +11 = 51 . . . . . . . . . . . . . collect terms
8x = 40 . . . . . . . subtract 11
x = 5 . . . . . . . . . divide by 8
BC = 6x+5 = 6(5) +5 . . . . . . . . use the value of x to find BC
BC = 35
a)
9 + n = 5 quel est le chiffre qui manque
Answers
Answer:
Votre réponse sera n=-4
Step-by-step explanation:
9+n=5
9-9+n=5-9 (Soustraire 9 des deux côtés)
n= -4
J'espère que cela t'aides :)
Find the equation of the line.
Use exact numbers.
y = __x+__
Answers
2 Solve this complex fraction (1 Point) 3
Answers
Answer:
WHat do you mean
Step-by-step explanation:
A pound of apples costs $ 1.48 Ms. Perez buys 9.7 pounds to make 5 apple tarts, how much did Ms. Perez pay for the apples please show your work. 20 points
Answers
Answer:
$14.36
Step-by-step explanation:
you multiply 1.48 × 9.7 and the product would be 14.356 and since we are trying to find how mush money Ms. Perez spent we round up and the final cost is $14.36
karl drove 616.7 miles 616.7 miles for each gallon gallon of gas the car can travel 41 miles 41 miles what is a reasonable estimate of the number of gallons gallons of gas karl used select all that apply
Answers
Answer:
15, 16 or any integer close to those numbers
Step-by-step explanation:
Since, Karl drove 616.7 miles for each gallon of has and the car can drive 41 miles for each gallon, we need to divided 616.7 by 41 to get an answer of 15.0414634146 or an estimate of 15 or 16. It matters on whether the answer shows.