Convert the rectangular coordinates (-9, 3V3) into polar form. Express the angle
using radians in terms of te over the interval 0
Answers
Answer:
[tex](6\sqrt{3},\,\frac{5\pi}{6})[/tex]
Step-by-step explanation:
The radius r can be found from the relationship
[tex]r^2=x^2+y^2\\r^2=(-9)^2+(3\sqrt{3})^2\\r^2=81+27=108\\r=\sqrt{108}\\r=6\sqrt{3}[/tex]
The point is in Quadrant II (-, +), so use the inverse cosine function to find the angle.
[tex]\cos{\theta}=\frac{x}{r}=\frac{-9}{6\sqrt{3}}\\\cos{\theta}=-\frac{9}{6\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}\\\cos{\theta}=-\frac{9\sqrt{3}}{6\cdot3}\\\cos{\theta}=-\frac{\sqrt{3}}{2}\\\\\cos^{-1}\frac{-\sqrt{3}}{2}}=\frac{5\pi}{6}[/tex]
See the attached image.
Related Questions
After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service
department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage.
They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are
the conditions for inference met?
O Yes, the conditions for inference are met.
O No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.
Answers
Answer:
A, yes the conditions for inference are met
Step-by-step explanation:
I got the question right so it's right
a loaf of bread has 12 slice. micky ate 1/4 of the loaf. write the fraction of the loaf micky ate in twelfths
Answers
Answer:
3/12
Step-by-step explanation:
1/4*3/3=3/12
Which of the following situations does NOT represent a linear function?
A. Jasmine's mother gives her an allowance of $20 each week.
B. Over the past few months, Cesar's cell phone bill has doubled from the previous month.
Blair is going to earn $7.00 per hour working at a concession stand at a football gamo.
D. The Landscaping company charges the Anderson's $15 for the first hour and $10 for each additional hour to mow the lawn.
C
Answers
Answer:
B. Over the past few months, Cesar's cell phone bill has doubled from the previous month.
Step-by-step explanation:
find the volume of the cone. Round you’re answer to the nearest truth if necessary. Use 3.14
Answers
Answer:
1,961.6
Step-by-step explanation:
What is the scale factor
Please help me
Answers
Find the number of faces, edges, and vertices of the solid.
Answers
Answer:
Faces ~ 6
Edges ~ 12
Vertices ~ 8
If this helped, please mark me brainliest (๑・ω-)～♥”
Find the volume of the cone.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Please help asap
Answers
Right circular cone
Solve for volume
V≈37.7r (Radius )
2h( Height )
9V=πr2h
3=π·22·93≈37.69911#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters
Answers
In 1999. Sara and her brother Xzavier got money when their rich uncle died. They
each got the same amount of money. Sara bought some land in the country
because she heard they would be building houses near there some day. She
bought 300 acres of land with all of the money she got from her uncle,
$600,000, in 2000. In 2003 they extended the main highway to go near her land
and she sold 100 acres for $2700 lacre. In 2005 she sold half of the land she had
left for $3600 lacre. In 2007 they started a long-term project to build houses in
the area and built a Lowes, a Food Lion, A Bank of America and a Burger King on
the main street. Finally, in 2010. Sara sold the rest of her land for $400,000. What
was her total profit when she finished selling all of the land?
Answers
Answer:
$406,300
Step-by-step explanation:
$2,700 + $3,600 = $6,300
$400,000 + $6,300 = $406,300
Sequences:
Determine the first five terms of the following sequences:
A. [tex]a_{n} = \frac{2n+3}{4}[/tex]
B. [tex]a_{n} = \frac{n-3}{n-2}[/tex]
Answers
Answer:
A.
aₙ = (2n + 3)/4The first 5 terms:
a₁ = (2*1 + 3) / 4 = 5/4a₂ = (2*2 + 3) / 4 = 7/4a₃ = (2*3 + 3)/ 4 = 9/4a₄ = (2*4 + 3) / 4 = 11/4a₅ = (2*5 + 3) / 4 = 13/4B.
aₙ = (n - 3)/(n - 2)The first 5 terms:
a₁ = (1 - 3) / (1 - 2) = 2a₂ = (2 - 3) / (2 - 2) = undefineda₃ = (3 - 3)/ (3 - 2) = 0a₄ = (4 - 3) / (4 - 2) = 1 / 2a₅ = (5 - 3) / (5 - 2) = 2 / 3plzzzzzzzz help for a brainly
Answers
Answer:
246
Step-by-step explanation:
PLEASE HELP MATH QUESTION 99 POINTS ASAP
Function A and Function B are linear functions. Compare the two functions and choose all that are correct.
Answers
Answer:
2 .The slope of Function A is less than the slope of Function B
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
More detailed working
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Step-by-step explanation:
mrk me brainliest plz
Answer:
2 .The slope of Function A is less than the slope of Function B
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
More detailed working
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Step-by-step explanation:
MARK ME BRAINLEIST PLZ PLZ PLZ
This figure consists of a rectangle and semicircle.
What is the perimeter of this figure?
Use 3.14 for pi.
60.84 m
72.84 m
79.68 m
98.52 m
Answers
Answer:
hope it helps!
Step-by-step explanation:
Perimeter includes three sides of rectangle:
15m + 12m + 15m
Plus half of circle with diameter 12m
Circumference = diameter * PI
Circumference = 37.68m.
1/2 circumference = 18.84m
Total perimeter is 15m+12m+15m+18.84m
60.84m
Answer:
The answer is 60.84.
Step-by-step explanation:
b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8:55 am there are 15 students outside the gym waiting for it to open. Should you use the same approach from part (a) to calculate the expected number of smokers among these 15 students
Answers
Answer:
The complete question is:
At a university, 13% of students smoke.
a) Calculate the expected number of smokers in a random sample of 100 students from this university:
b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8:55 am there are 27 students outside the gym waiting for it to open. Should you use the same approach from part (a) to calculate the expected number of smokers among these 27 students?
Part a is easy, because is a random sample, we can expect that just 13% of these 100 students to be smokers, and 13% of 100 is 13, so we can expect 13 of those 100 students to be smokers.
b) This time we do not have a random sample, our sample is a sample of 15 students who go to the gym in the early morning, so our sample is biased. (And we do not know if this bias is related to smoking or not, and how that relationship is), so we can't use the same approach that we used in the previous part.
Find the volume of the cylinder.
Round to the nearest tenth.
r = 5 cm
5 cm
V = [?] cm3
Enter the number that goes in the green box.
Enter
Answers
Answer:
392.7
Step-by-step explanation:
The volume of the cylinder of radius 5 cm and a height of 5 cm will be equal to 392.7 cubics cm
What is the volume of a cylinder?The volume of the cylinder is the product of the height, pie, and square of the radius.
The volume of the cylinder = [tex]\pi r^{2} h[/tex]
It is given that the radius of the cylinder is 5 cm and the height of the cylinder is 5 cm also.
So, The volume of the cylinder = [tex]\pi r^{2} h[/tex]
= 3.14 x 5^2 x 5
= 3.14 x 125
= 392.7 cubics cm
Thus, The volume of the cylinder of radius 5 cm and a height of 5 cm will be equal to 392.7 cubics cm.
Learn more about volume;
https://brainly.com/question/1578538
Conan is moving into a two-bedroom apartment in Valley Oaks. The monthly rent is $2,000. His up-front fees
were a $60 application fee, a $20 credit check fee, first and last month's rent and a broker fee of 14% of a year's
rent.
How much can he expect to pay upfront for this apartment?
4,360
4,080
7,440
5,440
Answers
18 m 13m 13 m find the surface area
Answers
Answer:
3510 m² I guess..........
if 4^(3x-2)=4^(x+1), then x=
Answers
Answer:
x = 3 /2
x=1.5
Step-by-step explanation:
Find the missing side. Round to the nearest tenth
Answers
Answer:
We know Cot51 = x/17
=> 0.809784 × 17 = x
=> 13.753 = ×
.°. The value of x = 13.753 ~~ 14.000 (Ans)
Plz help me well mark brainliest if correct..????
Answers
Answer:
B.option is the correct answer right no
Answer:
300 miles
Step-by-step explanation:
I couldn't see the top bit by friday because it was outside of the photo, but if my estimations are correct, it should reasonably be 300 miles
A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. How many total possible outcomes are there when choosing a marble from the bag?
4
11
14
16
Answers
Answer:
4
Step-by-step explanation:
4 because there are 4 kinds of marbles
PLEASE HELP MATH QUESTION 99 POINTS HELP ASAP PLEASE
LOOK AT LINKED IMAGE FOR QUESTION.
Answers
Answer:
Graph A. not a function
Graph B. is a function
Mapping A. is a function
Mapping B. not a function
Table A. not a function
Table B. is a function
Answer:
a graph. not a function
b graph.function
a table. not a function
b table. function
maaping a. function
mapping b. not a function
Step-by-step explanatio n:
mark me brainelst plz
Let g be the function given by g(x) = 3 − x x + 5 .
Find and simplify g(2) − 1 g(−3)
.A) − 1 21
.B) − 2 21.
C)− 4 21
.D)− 8 21
Answers
Answer:C) -4/21
Step-by-step explanation:
PLEASE HELP I DONT KNOW
Answers
Answer:
Step-by-step explanation:
In the given circle
radius (r) = 6 cm
Diameter (d) = 2 * r
= 2 * 6
= 12 cm
hope it helps :)
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]D)
12cmbecause,
d= 2r
d= 2×6
d= 12cm
ThanksHope it helpsf(x)=3x 2 +6x−18Find f(10)
Answers
Answer:
342
Step-by-step explanation:
To find f(10), simply substitute x for 10, resulting in 300+60-18 = 342
What is the length of the third side?
Answers
Answer:
√115
Step-by-step explanation:
14²= 9² + x²
x= √14²-9² = √115
Step-by-step explanation:
using Pythagores theorem
h²=p²+b²
14²=p²+9²
p²=196-81
p=√115
p=10.72
stay safe healthy and happy...What do you think the answer is
Answers
Norman purchases five pounds of apples for $10. What is the price per pound?
Answers
Answer:
2 dollars per pound
Step-by-step explanation:
10/5=2
Answer:
2 Dollars per pound
Step-by-step explanation:
you can divide $10 by how many bags of apples you bought to get 2 dollars per pound
9/10 + 3/100 plz hlp in dire need of answer
Answers
Answer:
I think it's 93/100
Points H and I are located on the coordinate plane at (-2,8) and (-2, 11).
What is the distance between the two points?
Answers
Answer:
3
Step-by-step explanation:
distance required=11-8=3