Convert (-6, -6) from Cartesian coordinates to polar coordinates. Round the length to the nearest 0.01 Express the
angle in degrees where is between 0 and 360°, and round to the nearest 0.1 degree. Do not enter the degree
symbol in the answer
Answers
9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
_____
Additional comment
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
Related Questions
4 x ( 2 + 5 )^2 - 5^2
Answers
=4*49-25
=196-25
=171
Two sides of a triangle measure 10 feet and 14 feet. Which
inequality shows the possible lengths for the third side, x?
Answers options:
10 ≤ x ≤ 14
4 ≤ x ≤ 24
10 < x < 14
4 < x < 24
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The third side of the Triangle should be greater than the difference of other two sides, so
[tex]x > 14 - 10[/tex][tex]x > 4[/tex]And, The third side should be less than the sum of other two sides that is ~
[tex]x < 14 + 10[/tex][tex]x < 24[/tex]Considering these two inequalities, we get ~
[tex]4 < x < 24[/tex]passez une bonne journée points faciles 2+2=?
Answers
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained the wishes the estimate to be within three percentage points
with 90% confidence, assuming that
(a) he uses the estimates of 21.3% male and 19.5% female from a previous year?
(b) he does not use any prior estimates?
(a)n (Round up to the nearest whole number)
(b) (Round up to the nearest whole number.)
Answers
Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
Item a:
The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]
[tex]n = 53.1[/tex]
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence [tex]\pi = 0.05[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]
[tex]n = 751.7[/tex]
Rounding up, a sample of 752 should be taken.
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what is the intercepts of the line?
x-intercept and y-intercept
4x-1=3y+5
Answers
Answer: X (3/2,0) Y (0,-2)
Step-by-step explanation:
HELP PLS
Answers
Answer:
the anser is the first one
Outliers have very little or no effect on which of the following check all that apply mean median mode range or standard deviation
Answers
Outliers are data elements that are far from the other elements of a dataset, and they have little or no effect on the median and the mode
Outliers are usually large or very low values, and they always affect the mean of the dataset.
Also, they affect the range of the dataset.
The standard deviation is dependent on the mean of the dataset.
This means that, outliers would also have effects on the standard deviation.
However, outliers are most likely not to have a considerable effect on the median and the mode of the dataset.
Hence, the true options are mode and median
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What is the value of m
Answers
35.6 355⅝5555555555555555555545455555555
Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.
Answers
Answer:
534,070.75 miles
Step-by-step explanation:
The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].
But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].
[tex]170000*\pi = 534070.75 (Rounded)[/tex]
Consider the figure.
(7x + 12) (8x + 3)º
What is the value of x?
Answers
56x^2+21x+96x+36
56x^2+117x+36
OMG HELP RN
On a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
202.64 - h
B.
202.64 ÷ h
C.
202.64 × h
D.
202.64 + h
Answers
Answer:
C would be the answer
Hope this helps!
i really need help last question PLEASE
Answers
Answer:
c
Step-by-step explanation:
its in the middle of all the data
Hi guys im stuck on this maths question
(2/5)^-3
Answers
Answer:
15.625
Step-by-step explanation:
Answer:
[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]
What is 9÷8/9 in simplest form?
Answers
Answer:
10 1/8 or 81/8
Step-by-step explanation:
A triangle has sides with lengths of 2 centimeters, 4 centimeters, and 5 centimeters. Is it a right triangle?
PLEASE HELP
Answers
Answer:
NoStep-by-step explanation:
Use Pythagorean to verify:
2² + 4² = 5² 4 + 16 = 2520 = 25As we see the equation is not true, so the answer is no
Let's use Pythagorean theorem to verify
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto 5^2=4^2+2^2[/tex]
[tex]\\ \sf\longmapsto 25=16+4[/tex]
[tex]\\ \sf\longmapsto 25\neq 20[/tex]
Not a right triangle
PLEASE GIVE ME THE ANSWER ASAP
What is the solution to this system of linear equations?
5x + 6y = 29
3x + 6y = 27
A. (7,1)
B. (1,7)
C. (4,1)
D. (1.4)
Answers
Answer:
no answer b/c the terms are unlike term
Answer:
D. ( 1,4)
Step-by-step explanation:
Mr. and Mrs. Bruce took a boat trip which left Cala for Friends’ Island at 11:45 in the morning. The trip lasted for 1 hour and 20 mins. When did they arrive at Friends’ Island?
Answers
Use the elimination method to solve the system of equations. Choose the correct orderly pair.
2x+4y=16
2x-4y=0
A. (2,-4)
B. (4,-2)
C. (2,4)
D. (4,2)
Answers
(2x+4y=16).....1
(2x-4y=0).....2
then take equation 1 plus 2
4x=16
x=4
then take equation 2 to solve for y
2x-4y=0
(2×4)-4y=0
y=2
therefore answer is D. (4,2)
Is 5.12 times 10n =512
Answers
Answer:
it is D
Step-by-step explanation:
I have to show you, but if I do it don't on the paper
A man walks for 2 hours at a certain speed. He then cycles at three times that speed for 4 hours. He goes 77 km altogether. Find the speed at which he walks.
Answers
The speed at which he walks is 7.7km/hr
The formula for calculating the distance is expressed as;
distance = speed * time
Let the speed moved by the man be x
If the man walks for 2 hours at a certain speed, his distance will be 2x km
If he then cycles at three times that speed for 4 hours, the new the speed at which he walks is 7.7km/hr
If he goes 77km altogether, hence;
2x + 4(2x) = 77
2x + 8x = 77
10x = 77
x = 77/10
x =7.7km/hr
Hence the speed at which he walks is 7.7km/hr
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Prepare an accounting equation for the following business transaction
1. Purchased supplies on account, 4,000
2. Purchased furniture and fixtures for cash, 3,000
3. Paid account in no. 1.
4. Paid advance advertisement for promoting the business 1,000
5. Paid the note 2,000
Answers
Answer:
you draw a T. form and then you can start to in debit and credit
6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?
Answers
Answer:
From the looks of the graph, it looks like the answer will be Letter C. (The last graph).
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( − 3 /4 , 41 /8 )
Focus: ( − 3 /4 , 5 )
Axis of Symmetry: x = − 3 /4
Directrix: y = 21 /4
x y
− 3 − 5
− 2 2
− 3 4
41 8
0 4
1 − 1
PICK 5 RELEVANT VOCABULARY TERMS AND SUMMARIZE THEM .
yooo, i need help with this...
Answers
Percussion is music involving drums and other instruments such as gongs, bells, cymbals, rattles, and tambourines. The instruments themselves are also called percussion.
dual / duel
Seeing double? Not quite! Dual is two, or double, but a duel is a fight. If you’re getting sick of your fair-weather friend’s dual personality, perhaps you should throw down your glove and challenge him to a duel at high noon.
grisly / gristly / grizzly
Blood, guts, and man-eaters, oh my! Faint of heart turn back now! Grisly means relating to horror or disgust, gristly means related to gristle or cartilage, and grizzly is a big ol' bear. That can eat you.
precedent / president
How has the United States affected this word pair, precedent and president? Let's find out.
unconscionable / unconscious
These two words look and sound similar. In fact, if you think too hard about them together, you might find your tongue tripping over them.
A girl has 7 skirts, 9 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear
Answers
Answer: 252 i think i tried and i think its right
At State College last term, 63 of the students in a Physics course earned As, 85
earned Bs, 123 got Cs, 84 were issued Ds, and 64 failed the course. If this grade
distribution was graphed on a pie chart, how many degrees would be used to indicate
the B region?
Answers
Answer:
a
Step-by-step explanation:
The quotient of a number p and 3 is 24
Answers
Answer:
p= 8
Step-by-step explanation:
because 8 x 3 is 24
hope this helps!❄︎
Explanation: if you think about it and divide 24 by 3 you would get 8
Simplify 7x + [x - (5 + x)].
O 7x - 5
O8X-5
9x - 5
Answers
Answer:
7x-5
Step-by-step explanation:
Find the first partial derivatives of the function.
z = (6x + 2y)^9
dz/dx=
dz/dy=
Answers
If z = (6x + 2y)⁹, then the partial derivatives of z are
• with respect to x :
∂z/∂x = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂x
∂z/∂x = 9 (6x + 2y)⁸ • 6
∂z/∂x = 54 (6x + 2y)⁸
• with respect to y :
∂z/∂y = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂y
∂z/∂y = 9 (6x + 2y)⁸ • 2
∂z/∂y = 18 (6x + 2y)⁸
simplify 5/13 ( 75 - 49)
Answers
Answer:
The answer is 10.
Step-by-step explanation:
I'm certain this is correct. :D
For homework, Tina is asked to write down the opposite value for each number listed. Which comparison did Tina write incorrectly?
Answers
Answer:
x
Step-by-step explanation:
It still would be a negative.
The comparison that Tina wrote incorrectly is X. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The table is given below.
Comparison Number Opposite value
W -3 3
X -(-9) 9
Y 0 0
Z 4 - 4
The number -(-9) is also written as 9 and the opposite number of 9 is negative 9. Then the comparison that Tina wrote incorrectly is X. Then the correct option is B.
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#SPJ2
