# Shin

Popular questions and responses by Shin
1. ## Math (Trigonometry [Polar Form])

Let z be a complex number such that z = 2(cos 8∘ + i cos 82∘).Then z^5 can be expressed as r(sin α∘+ i cos α∘), where r is a real number and 0 ≤ α ≤ 90. What is the value of r+α? Hint to solve: Example Question: Let z be a complex number

2. ## Math (Variation)

The cost of a pizza varies directly as the square of its radius. If a pizza with a 6-inch radius costs ₱148.00, how much should a pizza with an 11-inch radius cost?

3. ## Math

Sixty men working on a construction job have done 1/3 of the work in 18 days. The project is behind schedule and must be accomplished in the next twelve days. How many more workers need to be hired?

4. ## physics

a car is moving at 17.7 m/s when it begins to slow down with a deceleration of 2.5 m/s2. how long does it take to travel 20 meters as it slows down

5. ## Math

Three ships — the Nina, the Pinta, and the Santa Maria — are setting sail from Spain on a mission to find the shortest route to the West Indies. The year is 1492 and Columbus is about to sail the ocean blue... "NO! It can't be so!" shouted Captain

6. ## Trigonometry

There are four complex fourth roots to the number 4−4√3i. These can be expressed in polar form as z1=r1(cosθ1+isinθ1) z2=r2(cosθ2+isinθ2) z3=r3(cosθ3+isinθ3) z4=r4(cosθ4+isinθ4), where ri is a real number and 0∘≤θi

7. ## Optics

A person only reads character when 25cm from her eyes. Calculate the dioptric power of a lens she need so that the characters are clear at 1m distance

8. ## Physics

On an unwanted weather situation, rescue operators fly a helicopter that is aimed to travel 100 knots due southwest. However, two winds coming from different directions move it sideways. One wind is making it move sideways 20 knots northward while the

9. ## Physics

A 50-Newton box lays on a plane inclined 20degrees from the ground. Though the weight of the box is directed downwards, we know that some component of it is responsible why the box would slide. Find the value of this component

10. ## Physics

Shun started driving south-west for 450 meters then turned south south for 500 meter and stopped. Find Shun's displacement

11. ## Physics

A plane flying in a straight line at constant altitude of 2000 m above the ground with a speed of 200m/s drops an object. Explain how the velocity of the object is actually affected by air resistance. Show how the resistivity force of air and velocity of

12. ## Basic Linear Algebra

1. At what point does the graph of f(x)=3x-12 crosses the x-axis? 2.At what point does the graph of f(x)=5x+1 crosses the y-axis?

13. ## Math (Combinatorics)

40 students attended the brilliant summer camp at Stanford University. "k" of the students at the camp are working on math problems and the others are working on non-math problems. One of the camp mentors noticed that whenever all the students were

14. ## Math (Trigonometry)

θ is an acute angle such that tan(θ)=1/4. What is the value of 17√17*(sinθ+cosθ)?

15. ## Math (Geometric Progression)

5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression? Note: The phrase "form an

16. ## Calculus (Arc Length)

Consider the helix parametrized with the vector equation r(t)=cos t i+ sin t j + t k. The length L of the helix between the points (1,0,0) and (1,0,6π) is equal to aπ. What is the value of a^2?

17. ## Geometry

Triangle ABC has side lengths AB=8, BC=12 and CA=14. Given that D, E and F are midpoints of BC, CA and AB, respectively. Find the value of AD^2+BE^2+CF^2.

18. ## Geometry

Triangle ABC has side lengths AB=8, BC=12 and CA=14. Given that D, E and F are midpoints of BC, CA and AB, respectively. Find the value of AD^2+BE^2+CF^2.

19. ## Trigonometry

Given that sin(2θ)=2/3, the value of sin^6θ+cos^6θ can be written as a/b with a and b as coprime positive integers. Find a+b.

20. ## Math (Absolute Value Inequality)

Find the maximum value of a such that the following statement is true: If ∣x−8∣

21. ## Math (Absolute Value Inequality)

Let a and b be the maximum and minimum value of x, respectively, satisfying the inequality |x+19|+|x−22|≤137, then what is a−b?

22. ## Math (Absolute Value Inequality)

Find the maximum value of a such that the following statement is true: If ∣x−8∣

23. ## Math (Algebra)

If the ratio of the roots of the quadratic equation x^2−28x+A=0 is 2:5, what is the product of the roots of the quadratic equation x^2+Ax+2A+3=0?

24. ## Math (Algebra)

For real numbers a and b, if f(x)=x^2−ax+b satisfies f(5+7i)=2a, what is the product of the two roots of the equation f(x)=0?

25. ## Probability

Bret and Shawn are playing a game where each turn the players roll a 20-sided die fair and then add the number they get to their score. The winner is the player with the highest score at the end of the game (there may be a tie). Before the last turn, Shawn

26. ## Trigonometry

The quadratic equation x^2−9x+10=0 has roots tanα and tanβ, where 0∘

27. ## Trigonometry

Γ is the circumcircle of triangle ABC with radius 12√2. If 9cos(∠B+∠C)cos∠A=−1, what is the value of BC?

28. ## Math (Algebra)

f(x)=x^4+ax^3+bx^2+cx+d and has real coefficients. If two of the roots are 4−i and 2+3i, what is the value of a+b+c+d?

29. ## Math (Algebra)

One root of the quadratic equation x^2 − 2x + m = 0 is 9. If the other root is n, what is n−m?

30. ## Math (Algebra)

An elevator named L in "63 Building" in Seoul is notorious for its low speed. It takes 3 seconds for L just to move one floor. It takes another 20 seconds for it to have its door open and close automatically. What is even more frustrating, is that the

31. ## Math

5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression? Note: The phase "form an

32. ## Math (Percentage)

An upscale clothing boutique charges \$300 for a brand name pair of jeans, which is 50% more than the amount it costs the store to buy one pair of these jeans. As a benefit of working there, employees can purchase the pair of jeans at 30% off the store's

33. ## Math (Percentage)

The price of a hat is reduced by a% from its regular price, and then is raised by a% from the reduced price. If the resulting price is an 81% discount from the regular price, what is a?

34. ## Math (Algebra)

For each degree 17 polynomial f with real coefficients, let sf be the number of real roots (counted with multiplicity). Let S be the set of all possible values of sf. What is |S|?

35. ## Math (Algebra)

If a is a real number and a cubic equation f(x) = x^3 − 8x^2 + (a+12)x − 2a has a repeated root, what is the sum of all the possible values of a?

36. ## Math (Algebra)

If f(x) is a polynomial with real coefficients such that f(7+5i) = 39 + 13i, then f(7−5i) = a + bi. What is the value of a+b?

37. ## Math (Algebra)

A and B are real numbers such that the two quadratic equations 13x^2 + 3x +2 = 0 and Ax^2 + Bx + 5 = 0 have a common root. What is the value of A+B?

38. ## Math (Combinatorics)

A lottery ball drawing machine has 50 balls, each labeled with a distinct integer from 1 to 50. Every Sunday, four different balls are drawn to determine the winning numbers. You have last Sunday's ticket with the numbers {3,7,12,15}. You missed the

39. ## Physics

A roller coaster works by gravitational energy. The coaster car is pulled up to a high point and then released, rolling downwards on the track through all manners of curves and loops. I have a short roller coaster car that I pull up to the top of a hill of

40. ## physics

Got a question that I'm not quite sure how to approach: "A force of 2500 N acting on the area of 120cm3 evokes a pressure of:" This is all the info given in the question.

41. ## College math

Highwq curves. If a circular curve without any banking has a radius of R feet, the speed limit L in miles per hour is L = 1.5 aqrt(R) (a) Find the speed limit for a curve having a radius of 400 feet. (b). If the radius of a curve doubles, what happens to

42. ## College math

Highway curves If a circular curve without any banking has a radius of R feet, the speed limitL.in miles per hour for the curve is L=1.5 R. (a.)Find the speed limit for a curve having a radius of 400 feet. (b.) If the radius of a curve doubles, what

43. ## college math

Braking distance The braking distance y in feetthat it takes for a car to stop on wet ,level pavement can be estimated by y = 1/9 x^2, where the x is the speed of the car in miles per hour Find the speed associated with with each braking distance. (a.) 25

44. ## College Math

Hooke's Law the table shows the distance D that a spring stretches when a weight W is hung on it. W (pounds 2 6 9 15 D (inches) 1.6 4.8 7.2 12 (a.) Do the data represent direct or inverse variation? Explain. (b.) Find an equation that models the data. (c.)

1. ## Geometry

MINECRAFT XD

posted on September 26, 2019
2. ## Geometry

XDXDXDXDXDDXDXDXDXDDXD TROLL WEB

posted on September 26, 2019
3. ## Geometry

The difference of the absolute value is not positive because all yall trash and suck phht loser can't do math Lmao

posted on September 26, 2019
4. ## Basic Accounting

Dr

posted on September 11, 2016
5. ## Chemistry

Can you show me the solution and result please?

posted on October 17, 2013
6. ## Math

Thanks :)

posted on June 1, 2013
7. ## Math

120 or 180? :)

posted on May 31, 2013
8. ## Math (Absolute Value Inequality)

Thanks MathMate :)

posted on May 26, 2013
9. ## Math (Absolute Value Inequality)

Thanks, but how do I find the value of x?

posted on May 26, 2013
10. ## Math (Algebra)

thanks a lot steve

posted on May 21, 2013
11. ## physics

Thank you drwls :)

posted on June 2, 2012
12. ## English

always talk English, doesn't matter if it's their first or 32234th class

posted on April 14, 2011

theta = 209,55192° theta = 76,70829°

posted on March 4, 2011
14. ## English Grammar

indeed, it is 'just because' .... one of the irregularities of the English language, in some countries, 'I am going to home' is actually common

posted on March 4, 2011
15. ## math

1 foot = 12 inch 1 square foot = 144 square inches not hard now right

posted on February 11, 2011
16. ## Algebra 2

multiply everything by (x-4) ==> x+2 + x²(x-4) + 6*(x-4)=0 ==> x³ - 4x² + 7x -22 =0 ==> search for 'cardano method' glhf

posted on February 11, 2011
17. ## Algebra

nice ... line

posted on February 11, 2011
18. ## algebra

try to get x or y singled out in the easiest equation (or just pick) fe for the first one : y = 13/5 fe for the second one : x = (2y+9)/2 then fill in that x or y in the other equation fe for the first one : x+(13/5)/2 +30 = 0 fe for the second one :

posted on February 11, 2011
19. ## Algebra

(x + 3)³ = x³+ 3x²3 + 3x3² + 3³ (x - 3)³ = x³ - 3x²3 + 3x3² - 3³

posted on February 11, 2011
20. ## calculus

just use the vertex method... f(x) = a*(x-b)+h with : a : what we're searching for (initially) f(x) : 1 (from point (-1;1)) x : -1 (from point (-1;1)) b : x coordinate of the vertex : 1 h : y coordinate of the vertex : -13 => 1 = a*(-1-1)² -13 => a = 10/4

posted on February 11, 2011
21. ## Watershed?

im in flvs 2 lol

posted on August 21, 2008