Let cot(x) = StartFraction 5 Over 8 EndFraction, with 0 < x < 90°. What is sin(x)?
StartFraction 5 Over StartRoot 89 EndRoot EndFraction
StartFraction 8 Over StartRoot 89 EndRoot EndFraction
StartFraction StartRoot 89 EndRoot Over 8 EndFraction
StartFraction StartRoot 89 EndRoot Over 5 EndFraction
Answers
Answer:
B. 8/square root of 89
Step-by-step explanation:
got it right on edge :)
Value of sin(x) = 8 / √89, 0 < x < 90.
What are trigonometric functions?Trigonometric functions can be simply defined as the functions of an angle of a triangle where 0 < x < 90°.
Formula used
In right angled triangle ABC , ∠B = 90° , ∠C = x°
cot (x )= ( Base ) / ( perpendicular)
sin ( x) = ( perpendicular ) / ( Hypotenuse )
Pythagoras theorem
(Hypotenuse)² = (Base)² + (perpendicular)²
(AC)² = (AB)² + (BC)²
Given that
cot (x) =5 / 8 , 0< x< 90
Therefore, by comparing the given values of trigonometric function with the formula ,
Base = 5
perpendicular = 8
Substitute the value in the Pythagoras theorem,
(Hypotenuse)² = 5² + 8²
⇒ (Hypotenuse)² = 25 + 64
⇒ Hypotenuse = √89
Therefore,
sin(x) = 8 / √89
Hence Value of sin(x) = 8 / √89, 0 < x < 90
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Related Questions
China is known as the most populous country in the world with an estimated population of 1,400,000,000 while the United States of America has an estimated population of 328,000,000. To the nearest person, how many times greater is the population of China than the population of the United States of America?
Answers
Answer:
China has 1,072,000,000 more people
Step-by-step explanation:
The product of a scaler and vector produces a vector with the direction opposite of the original vector what must be true?
Answers
Answer:
Scalar is negative
Step-by-step explanation:
If the 16 boys in the classroom are 40% of the class how many students re there in class
Answers
Answer: 40 students
Step-by-step explanation: All we need to do is do 16/40 to get 0.4 or 40%. So 100% = 40.
3.128 Who Smokes More: Male Students or Female Students? Data 1.1 includes lots of information on a sample of 362 college students. The complete dataset is available at StudentSurvey. We see that 27 of the 193 males in the sample smoke, while 16 of the 169 females in the sample smoke. We will investigate the difference in proportions of male and female students who smoke.
Answers
Answer:
0.0452
Step-by-step explanation:
Given that:
There are a total of 193 males in the sample.
Number of males who smoke = 27
There are a total of 169 females in the sample.
Number of females who smoke = 16
The ratio of people who smoke to the total number of people is given by the formula:
[tex]\dfrac{\text{Number of people who smoke}}{\text{Total number of people in the sample}}[/tex]
So, the ratio of males who smoke is given as:
[tex]\dfrac{27}{193}=0.1399[/tex]
And
The ratio of females who smoke is given as:
[tex]\dfrac{16}{169} = 0.0947[/tex]
The difference between the ratio is = 0.1399 - 0.0947 = 0.0452
Ye Olde Coffee Shop sells Colombian Coffee for $9.25 per pound. Brazilian Coffee sells for $7.75 per pound. The
management wishes to mix 6 pounds of Colombian Coffee with an amount of Brazilian Coffee so that the mixture sells for $8.25 per pound.
Pounds Price per Pound
Total Price
Columbian
Brazilian
Mixture
1. How many pounds of Brazilian Coffee should be mixed with 6 pounds of Colombian Coffee to get
mixture?
Answers
Answer:
12 pounds
Step-by-step explanation:
Colombian Coffee sells for $9.25 per pound. Brazilian Coffee sells for $7.75 per pound.
The management wishes to mix 6 pounds of Colombian Coffee with an amount of Brazilian Coffee so that the mixture sells for $8.25 per pound.
Hence:
Let the number of pounds of Brazilian coffee be represented by = a
$9.25× 6 + $7.75 × a= $8.25 (a + 6)
55.5 + 7.75a = 8.25a + 49.5
Collect like terms
8.25a - 7.75a = 55.5 - 49.5
0.5a = 6
a = 6/0.5
a = 12 pounds
Therefore, 12 pounds of Brazilian Coffee should be mixed with 6 pounds of Columbian nuts
Camilla entered the following group of values into the TVM Solver of her
graphing calculator. N = 24,1% = 1.2, PV = PMT = -480; FV = 0P/Y = 12; C/Y
= 12, PMT-END. Which of these problems could she be trying to solve?
O A. A person can afford a $480-per-month loan payment. If she is
being offered a 24-year loan with an APR of 1.2%, compounded
monthly, what is the most money that she can borrow?
O B. A person can afford a $480-per-month loan payment. If she is
being offered a 24-year loan with an APR of 14.4%, compounded
monthly, what is the most money that she can borrow?
O C. A person can afford a $480-per-month loan payment. If she is
being offered a 2-year loan with an APR of 14.4%, compounded
monthly, what is the most money that she can borrow?
D. A person can afford a $480-per-month loan payment. If she is
being offered a 2-year loan with an APR of 1.2%, compounded
monthly, what is the most money that she can borrow?
Answers
The problem that Camilla could she be trying to solve is D. a person can afford a $480-per-month loan payment.
What is a loan?It should be noted that a loan simply means an amount of money that's taken for future repayment.
In this case, the information given shows that the problem will be that the person can afford a $480-per-month loan payment and she is being offered a 2-year loan with an APR of 1.2%, compounded monthly.
Learn more about loan on:
https://brainly.com/question/26011426
help me .........................................................
Answers
Answer:
d
Step-by-step explanation:
WILL GIVE BRAINLYEST Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?
5/2pi r-r=h
5-r/2pi r=h
s-r/2pi=h
s- 2pi/r=h
Answers
Answer:
S/2πr-r=h
Step-by-step explanation:
so a
Answer:
It's A) [tex]\frac{S}{2\pi r} - r = h[/tex]
Step-by-step explanation:
I'm good at the game.
Please help. Will give brainlist, it’s due soon.
Answers
Answer:
1) slope = -2
y-int = -2
2) slope = y2-y1/x2-x1
*using (-12,19) and (-5,5)
slope = 19-5/-12--5
slope = 14 / -7
slope = -2
y-int = -5
3) slope = rise/run
slope = 4/2
slope = 2
y-int = 3
4) a) the weight of the package in pounds and the cost of shipping
b) the cost of shipping of one pound
c) slope = rise/ run
slope = cost of shipping / the weight of the package
slope = 12/3
slope = 4
d) the price of shipping one pound
e) the y-int = 0 when shipping 0 packages 0 dollars are paid
f) the amount you pay when you ship 0 pounds
Answer:
slope = -2
y-int = -2
2) slope = y2-y1/x2-x1
*using (-12,19) and (-5,5)
slope = 19-5/-12--5
slope = 14 / -7
slope = -2
y-int = -5
3) slope = rise/run
slope = 4/2
slope = 2
y-int = 3
4) a) the weight of the package in pounds and the cost of shipping
b) the cost of shipping of one pound
c) slope = rise/ run
slope = cost of shipping / the weight of the package
slope = 12/3
slope = 4
d) the price of shipping one pound
e) the y-int = 0 when shipping 0 packages 0 dollars are paid
f) the amount you pay when you ship 0 pounds
Step-by-step explanation:
how to work out the area of a rhombus
Answers
Answer:
In rhombus, there are two diagonals.
Ar. of rhombus=[tex]\frac{1}{2}[/tex] × diagonal 1× diagonal 2
U have to byheart this formula.
What happens to the equation when y=x becomes y=x-2
Answers
Answer:
The graph moves down by 2 units.
Step-by-step explanation:
Knhrh theme jejrjrh eiie
Answers
Answer:
what
Step-by-step explanation:
Using the greatest common factor, reduce the fraction 15/20
Answers
Answer:
using the formula the answer is 3/4
reciprical of 17 plz and thank u
Answers
Answer:
the answer is 1/17
Step-by-step explanation:
math question plz help
Answers
Answer:
[tex]12y^{3}[/tex]
Which number line shows the solution to 6 + (−6)? (1 point)
1.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 12 is shown.
2.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 0 is shown.
3.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to positive 6 is shown.
4.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 12 is shown.
Answers
Answer:
a negative number plus a positive number when both numbers are the same like for example: -4 + 4. it would be 0. so -6 + 6 = 0
Step-by-step explanation:
6
0 ------------>
-6
0 <------------
Simplify 6.92⁰.
A. −1
B. 0
C. 1
D. 9.92
PLZZZZZ HELP I WILL MARK BRAINLIEST IF IT IS RIGHT AND MUST HAVE AN EXPLANATION
Answers
Answer:
0
Step-by-step explanation:
ANYTHING TIMES ZERO IS ZERO.
THERE ISN'T ANY 6.92. IT'S JUST ZERO
Write −0.48 as a fraction in simplest form.
−0.48=
I would also like an explanation too please! HELP ASAP :(
Answers
Answer:
-12/25
Step-by-step explanation: We already know that -48/100=-0.48, so we can just write -48/100 in simplest form which is -0.48. So, your answer is -0.48
bruh someone help me
Answers
Answer:
Think about it this way: The x axis goes from left to right, correct? So just try to visualize actually picking up the object and flipping it over that axis. So since one tip of the triangle is on the coordinate (1,1), after reflecting the shape that same tip would be on (1,-1). You understand?
Victor borrowed $19.50 from his mother to go to the theater. A week later, he paid her
$19.50 back. How much does he still owe her?
He owes her $
Answers
Answer: $0
Step-by-step explanation:
He paid her back the full amount already so he doesn’t owe anything
Answer:
$0 right?
Step-by-step explanation:
If he borrowed $19.50 and gave her $19.50 back he would owe her $0
wendy buys a dress that costs $30.00 she pays 8% sales tax
how much does she pay for the dress in tax
Answers
Answer:
She pays $2.40 in sales tax
Step-by-step explanation:
Answer:
it was 32.40 for me bro
Step-by-step explanation:
What are the next two numbers in the sequence?
4, 16, 64, 256,
Answers
Answer:
1024.
Step-by-step explanation:
You just multiply by 4
A line passes through the points (3, 5) and (2, 0). What is the slope?
Answers
Answer:
y= -4x - 5
Step-by-step explanation:
5 is your y-intercept
The slope of the line which passes through the points (3,5) and (2,0) is 5
From the question,
We are to determine the slope of the line
The slope of a line with two given points can be determined from the formula
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Where m represents the slope
From the given information
x₁ = 3
y₁ = 5
x₂ = 2
y₂ = 0
Putting these into the formula,
We get
[tex]m = \frac{0-5}{2-3}[/tex]
Then,
[tex]m = \frac{-5}{-1}[/tex]
∴ m = 5
Hence, the slope of the line which passes through the points (3,5) and (2,0) is 5
Learn more here: https://brainly.com/question/17722787
Can somebody who knows this answer all these correct plz thank you!!!!
(WILL MARK AS BRAINLIEST FIRST ANSWER)
Grade5math
Answers
7. 0.4
8. 0.55
9. 0.125
10. 3.5
11. 11.8
12. 7.625
13. 0.556 rounded nearest 10th = 0.6
14. 0.455 rounded nearest 10th = 0.5
15. 6.714 rounded nearest 10th = 6.7
Hope this helps :)
3 1/2 ÷ 1 3/4
I'm really confused
Answers
Answer:
2
Step-by-step explanation:
It just is
Answer:
2
Step-by-step explanation:
convert into improper fractions: 7/2 / 7/4
multiply by the reciprocal: 7/2 * 4/7 = 28/14
divide: 28/14= 2
Write an inequality to match the problem.
There are at least 28 days in every month.
Answers
Answer:
28 ≥ month
Step-by-step explanation:
Describe conformity in a simple way the meaning of it.
Answers
Answer:
Step-by-step explanation:Conformity is the most general concept and refers to any change in behavior caused by another person or group; the individual acted in some way because of influence from others
1 1/2 x 2 2/3 in its simplest form
Answers
Answer:
4
Step-by-step explanation:
1 1/2 x 2 2/3
3/2 x 8/3
9/6 x 16/6
144/36
4
Answer:
6
Step-by-step explanation:
3/2 x 8/2=24/4
24/4 =6
5.
2
C. Use real numbers to represent the following real-life situations.
1. A temperature of 8 degrees below zero
2. A gain of 6 kg in weight
3. A sea level
4. 50 off the original price
5. An additional of 3 points
6. A dropped of 8 in a heart rate
7. A plane ascends 1 000 ft.
8. Micah got a deduction of 2 points for her offense.
9. Daniel went down 4 floors of a building.
10. A slice of a cake that is divided into 8 equal slices.
Answers
Step-by-step explanation:
Words like "below", "loss", "off", "dropped", "deduction" mean negative.
Words like "above", "gain", "on", "ascend", "gain" mean positive.
1. -8°C
2. +6 kg
3. 0 m
4. -50
5. +3
6. -8
7. +1000 ft
8. -2
9. -4
10. 1/8
!answer please please with explanation
Answers
Answer:
D
Step-by-step explanation:
1.013^(t+25)=(1.013^t) x (1.013^25)