Precalc/Trig Word Problem

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Precalc/Trig Word Problem

From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23 degrees. How far is the ship from the base of the lighthouse?


solve 6=e^0.2t Round your answer to the nearest hundredth Someone please help me - I don't understand this problem at all!


Suppose that z1=6-8i. Find: A. The Trig Form of the complex number z1, where your theta is in degrees. B. The Trig form of z1*z2, where z2=5[cos(60degrees)+isin(60degrees)] C. The Trig Form of (z1)^4


Find the greatest possible value of 5cos(x)+6sin(x). I know that it would be a good idea to look for identities that are in the form of acos(x)+bsin(x), but I can't seem to find any. Other than that I don't really know where to go with this problem. Any help would be much ...

Precalc-Max and Min word problem w/ calculator

A cylindrical can (w/lid) needs to be construced to hold 40 cbic inches. Find the dimentions of the can so that the total amout of material needed is a minimum i don't know how to do this!! please help- do you know any sites that reteach this?


Factor the Polynomial completely: 10x^4y-20x^2y^2


Find all real zeros of the function y = -7 + 4


Find the interior angles of the triangle with vertices (-4,1), (1,-6), and (5,-1)


Find a parametrization for the line segment with endpoints (5,2) and (-2, -4).


what angle does the line y=6/7x make on the xy plane with a positive x axis?


what angle does the line y=6/7x make on the xy plane with a positive x axis?


Find the smallest positive number t such that e^sin(t)=1/2


Hello, good afternoon. I need help with my precalc hw. we are learning about finding zeros I don't which method I should use for this problem: if i is a zero of x^3+3x^2+ix+(4+i) what do i do? synthetic divison? or long division? when i did long division i got a werid ...


Write the partial fraction decomposition of the rational expression. 4x^2–19x+31/ (x+2)(x^2–4x+5)

Precalc/Trig 1

What equation would you use to show that the point ((square root of 11)/(6), (5/6))is on the unit circle?


Use an algebraic method to eliminate the parameter and identify the graph of the parametric curve. x=5-3t y=2+t -1<-x-<3

trig, precalc, math, algebra, trigonometry

Rewrite: tan(cos^−1 (v)) as an algebraic expression in v. Please help me understand.


Solve the Logarithmic equation algebraically. Give an Exact Answer and an approximation for x to four decimal places. 20 log(2x+2)=45

precalc/trig help please

The area of a circle is 18pi square meters. What is the radius (leaving answer in simplest radical form)

Precalc/Trig 2

The point P lies in the 4th quadrant and is located on a circle of radius 2. Find the missing coordinate for P. (___, (negative square root of 3)).


Find all values of x, 0<x<(pi/2) for which (1/( root 3))<cotx<(root 3)

Precalc with Trig

What value(s) of x from 0 to 2pi solve the following equation: cos squared x - cos x - 6 = 0


olve for the interval [0, 2pi]. cos(x+ pi/4)+cos(x- pi/4)=1

math-ms sue please

Ms Sue thank you for the help with my other word problem can you check this one for me? Write a word problem and find the solution to the equation. 1/2-2/3 THe answer is -1/6 and the word problem I created is: Janet put 6 suckers on a table. 3 suckers were watermelon and 3 ...


Find the trigonometric form of the number. (Round any angles to two decimal places.) −8 − i

Precalc-possible or impossible (trig)

is this possible? sec __=-.04

Please help me with trig.

One more problem.. Given sin t= 3/11 and cos t<0, find the values of the remaining 6 trig functions.

math-word problem

The width of a rectangle is fixed at 21cm. What lengths will make the perimeter greater than 80cm. Please help with this word problem I do not even know where to begin.


Word Problem: Jack mows the lawn in 4 hours, mary mows the lawn in 5 hours. how long will it take them if they mowed the lawn together? I have a hard time figuring out which formula to use to solve a problem in a word problem can anyone help and tell me how to set up the ...


Create an addition word problem and a subtraction word problem using fractions. Show how to find the solution to each problem. Once you find the solutions to your problems, rewrite the solutions as either a terminating or nonterminating decimal.


Create an addition word problem and a subtraction word problem using fractions. Show how to find the solution to each problem. Once you find the solutions to your problems, rewrite the solutions as either a terminating or nonterminating decimal.


write the rectangular equation x^2+y^2=6 in polar form. I do not want people to just post the answer! Please, show your work so that I can understand how to do these kinds of problems myself! Thank you and God Bless!


I'm trying to see if the teacher didn't give us the right problem or if I'm just not getting it. The problem is "re-write the expression without a fraction: 4/(1-sin x)". I can do it if the problem is sin squared x but I don't know how to solve the problem given. Pls help. thx


Suppose your teacher tells you to write a word problem using the number 3. Which would be the best object to use in your problem? Explain. Then write and solve a word problem using that object. (tricycle, bike, wagon)

Math- Precalc

could someone please help me solve this problem... e^x - 12e^(-x) - 1


I need help to create an addition word problem and a subtraction word problem using fractions. I need to show how to find the solution to each problem. Once I find the solutions to my problems, I have to rewrite the solutions as either a terminating or nonterminating decimal.

Math Word Problem

Can someone please check this one, this is a word problem, not a greater than or less question. How much greater than -10.4 is -6.52? -10.4 - -6.52 = -3.88 is this correct?


Use the trig Identities to find the other 5 trig functions. Problem 7.)Tan(90-x)=-3/8 8.)Csc x=-13/5 9.)Cot x=square root of 3 10.)Sin(90-x)=-.4563 11.)Sec(-x)=4 12.)Cos x=-.2351 I need HELP!


Cos[x + (7 Pi)/4] + Cos[x - (7 Pi)/4] = 1


Find an equation for the hyperbola described. Foci at (-4,0) and (4,0); asymptote the line y= -x. Please explain the steps of this problem. My book does not get an example of this type of problem and I'm not having any luck working this problem.


I have no idea how to solve this one problem: Round to two decimal places. Two observers 25 feet apart, sight to the top of the tree. If the angle of elevation to the top of the tree from the observer closest to the tree is 30 degrees and the angle of elevation from the ...

Social studies

Word for illegal or immoral behavior by officials Word for experts working together to problem solve Word for economic pressure to change a nation's actions. Thanks for your help❤️

Precalc and trig

cos^2 (x+a)-sin^2(a)= (cos x)(cos (2a+x)) prove using only side i worked on the left side...

Word problem math

Word problem. You cut a 2 m long board into 2 pieces . One piece is 10 cm shorter than the other. How long are each boards.? I got. 1 pc at 80!cm. the other 1pc at 100 cm Is this right ?


HELP!!!! I don't know how to do the trig identity with this problem csc^4 x-cot^4x= Csx^2 x + cot^2x

another precalc word problem

The Cruiser Bicycle Company makes two styles of bicycles: the Traveler, which sells for $200, and the Tourister, which sells for $600. Each bicycle has the same frame and tires, but the assembly and painting time required for the Traveler is only 1 hour, while it is 3 hours ...

Math word problem

I have this word problem that I can't figure out. The problem is: A 15 lb weight is positioned 10 in. form a fulcrum. At what distance from the fulcrum must a 12 lb weigt be positioned to keep the scale balanced? The substitute that I had today said that the 12 lb. weight ...


Teach me how to express 5sqrt3 - 5i in polar form please. I don't want you to do the work for me. Just show me the steps I need to do the work properly on my own. Otherwise I will not pass this class or the exam when I enter college, and I do not want to retake PreCalc. Its a ...

precalc and trig

cos^2 (a+x) -sin^2 a=cos x * cos(2a+x)


An airplane is flying on a compass heading of 160 degrees at 425 mph. A wind is blowing with the bearing 200 degrees at 75 mph. Find the actual speed and direction of the airplane.


So I have two questions that have been puzzling me for quite some time and would really appreciate any help with either of them! (a) There are four positive intergers a, b, c, and d such that 4cos(x)cos(2x)cos(4x)=cos(ax)+cos(bx)+cos(cx)+cos(dx) for all values of x. Find a+b+c...


What sentence uses italics, question marks, and punctuation correctly? ( I'm stuck on this problem) A, "How many r's are there in the word February"? B,"How many r's are there in the word February?" asked ty. c, "How many r's are in the word February," asked ty. D,How many r's...


How do i set this trig problem up? PLEASE help me. Find tan (s + t) given that sin s = 1/4, with s in quadrant 2, and sin t = -1/2, with t in quadrant 4.

math compare

word problem the temperature at 3am was -17.3F by noon the temperature was -17.8F. at what time was it the coldest? i said -17.8F is that right? word problem sam is 5/8" taller than jackie. Shelly is 0.7 in taller than Jackie. who is the tallest? i guessed is it Jackier ?


Solve tan(40/90) for the double angle cos(2theta). I know I use the x^2 + y^2 = r^2 formula and cos(2theta) = cos^2theta - sin^2theta. But I don't understand my answer

Writing skills

When, for example you can't spell a word. How do you look up the correct spilling? (1) word. How (2) word, how (3) word how (4) word; how (5) word or how I pick # 2 is this right


The system of equations: |z-2-2i|=sqrt(23), |z-8-5i|=sqrt(38) has two solutions z_1 and z_2 in complex numbers. Find (z_1+z_2)/2. My first instinct on this problem was to square each equation given that the square of the magnitude of a complex number is much easier to deal ...


wave is modeled by the function ... h(t) = 3cos(p/10)*t What is the period of the wave (T) *frequency (F) is defined as the number of cycles of the motion per second. What is the relationship between F and T? Find the wave height (H) which is the vertical distance between the ...


for the following equations, write a word problem draw a picture, and find the solution to the equation. 5/12 - 1/3=? I know the answer is 1/12 but am stumped on how to write the word problem and draw a picture


evaluate the expression assuming that cos(x)=1/7, sin(y)=1/3, sin(u)=2/5 and cos(v)=1/3. what is cos(u+v)? sin(x-y)? and tan(u-v)?


Need help with current Trig problem for tomorrow: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. 6log3(0.5x)=11 I know to start off the equation you divide by 6. I know the answer is 14.988. I just am puzzled on how to receive the...

college trig word problem

A Ferris wheel has a radius of 25 feet.The wheel is rotating at two revolutions per minute.Find the linear speed, in feet per minute, of a seat on this ferris wheel.


I don't understand how to do these problems: Find two pairs of polar coordinates for each point with the given rectangular coordinates if 0 ≤ θ ≤ 2π. Round to the nearest hundredth, if necessary. 17. (2, -3) Answers: (3.61, 5.30) and (-3.61, 2.16) 19. (a...

Trig/ English

I need an Acrostic poem for the word "Exponent"

math word problem

word problem need help: suppose you own a card shop. you buy one line of cards at a rate of 4 cards for $5. you plan to sell the cards at a rate of 3 cards for $5 how may carfds must you sell in order to make a profit of $100.00 i don't understand how to get answer can you help


Need help with adding subtracting decimals. In this unit, you learned about fractions that can be written as terminating decimals and fractions that can be written as nonterminating decimals. Create an addition word problem and a subtraction word problem using fractions. Show ...


Need help with adding subtracting decimals. In this unit, you learned about fractions that can be written as terminating decimals and fractions that can be written as nonterminating decimals. Create an addition word problem and a subtraction word problem using fractions. Show ...


Need help with adding subtracting decimals. In this unit, you learned about fractions that can be written as terminating decimals and fractions that can be written as nonterminating decimals. Create an addition word problem and a subtraction word problem using fractions. Show ...


An airplane with a ground speed of 750 mph and a bearing of N 40 E encounters a wind of 50 mph with a bearing of S 30 E. Find the bearing and ground speed of the plane.


Identify all of the trig functions that fit each description: 1. Has a amplitude of 1 2. Is discontinuous at odd multiples of π/2 3. Is continuous at odd multiples of π/2 4. Has sin x as a denominator value 5. Is completely bounded 6. Has the exxact same value at &#...

precalc h

sin(theta)/1-cos(theta) + 1-cos(theta)/sin(theta) = 2csc(theta) That question makes absolutely no sense.. could someone help me? or lead me in the direction to figuring it out? and.. (Beside the trig functions is theta) 1+1/cos = tan^2/sec-1


write a problem write a word problem involving the number of pages in a book.then write the numerical expression that you would need to use to solve your problem.


Identify and choose the one underlined word or phrase that should be corrected. What is the meaning of above sentence?Will i find a word which is incorrected in the sentence? In my(A) opinion they aren't(B) going nowhere(C) special because of(D) financial problem(E). In this ...


2.-The longest one-word name of any place in America is Chargoggagoggmanchauggagoggchubunagungamaugg.This name for a lake near webster, Massachusetts, is 45 letters long. It is a Native American name that means "You fish on you side, I'll fish on mine, and no one fishes in the...

Word Processing

I'm a GranMa in my 60's trying to learn Word/Windows. I started with the 2nd course and have had only this one problem in 3 weeks so that is good. I don't think the answer to my problem is in the book for THIS course. I can't figure out how to use the commands with the ...

Algebra/Quadratic equations

I have to make a word problem/story out of this quadratic equation -t^2+3t+18=0 The plot of the story I want to write about has to deal with world hunger, and food being dropped in to remote locations by helicopter. Can someone please help me come up with a word/problem that ...


Write a word problem using 7 groups. Solve the problem


Can someone please help me with this word problem!?! I know the answer which is 784 feet. But I have no clue how to solve it. Can someone please show how to solve this problem? The word problem is: The melt in Your Mouth Chocolate Factory is a rectangular building. The ...


Question: Write a word problem using 7 groups. And then solve the problem Can you give an example?


2 roads intersect at an angle of 60 degrees. A friend's mail box is 434 feet from that intersection and your mailbox is on the other road and is 525 feet from the intersection. How far is it from your mailbox to your friend's mailbox? I got 1016.66 feet, but that is wrong. ...

Precalc with Trig

What value(s) of theta (0 less than or equal to theta less than or equal to 2pi) solve the following equation: cos squared theta - cos theta - 6 = 0

Difficult Trig Word Problem

The displacement of a spring vibrating in damped harmonic motion is given by y(t) = 4e^-3t sin(2pi*t) where y = displacement and t = time with t greater than/equal to zero. Find the time(s) when the spring is at its equilibrium position (y=0). The number "e" is Euler's number...

math trig

ln(2x-5)= 4 how do i this problem? thanks!

Precalc Trig

here's the question: solve for cos(2theta)=1 if you graph r= cos(2Theta) then graph r=1 you find that there are four places where the graphs intersect. however, when solved algebraically, there are two solutions which can be represented in an infinitely many format as: Theta...


Write a word problem involving a discounted price. Describe the situation and pose the question, but DO NOT SOLVE the problem.


define a variable and write an inequality for each problem.then solve. Nineteen more than a number is less than 42.


I need to write a poem with the word ALGEBRA but the only problem is that my teacher wants complete sentences with each letter instead of a word for a letter. Can you please help?

Proof math problem help? Please help if you can!

Let AB be the diameter of a circle, and let point P be a point on AB. Let CD be a chord parallel to AB. Prove that PA^2 + PB^2 = PC^2 + PD^2 It can be solved using geometry methods (no trig). Anyway, I figured out that PA^2 +PB^2 = 2OP^2 + 2OB^2. However, I cannot find right ...


Word Problem page 19 John and Al are in a 15 km race. John averages 4.4 m/s during the first half of the race and then runs at a speed of 4.2 m/s until the last 200 m, which he covers at 4.5 m/s. At what average speed must Al run to beat John? The textbook that included the ...


I'm not sure how to start this problem I'm able to get it to (4x-3)log(4)=(9x-6)log(3). Not sure how to continue. Original question 4^(4x-3)=3^(9x-6)


a lamp post that is 8 feet high casts a shadow 5 feet long. how tall is the person standing beside the lamp post if his shadow is 3.5 feet long


How do you do this problem? 1+i(square root of 3)


How do I solve this problem? tan (30° + x)

math (final trig problem)

Solve for x on the interval [0,π/2): cos^3(2x) + 3cos^2(2x) + 3cos(2x) = 4 I havent done trig for a while so what exactly does that mean in solving for x on that interval and how would i go about doing that? Where are you getting these tough trig questions?? how about ...


Hi. Can someone please help me with this problem? A rectangular block of metal weighs 3 oz. How many lbs will a similar block of the same metal weigh if the edges are twice as long?

precalc: elimating the parameter

hi, i'm having trouble understanding the concept of eliminating the parameter to obtain an equation in x and y alone. can anyone please solve this problem and explain it? thank you so much. x = 3T-4 y= = 1-2T (0<t<3) those signs are actually less than or equal to.


4. REVIEW PROBLEM: Solve). √3-2x + √3x +13 =5 the term (3-2x) is under a radical as well as the term (3x+13). Please show all steps!! i keep on getting x=9 but plugging it in it is wrong!

trig(really struggling with this problem)

expand (x + y)^5


How do you find the H-Shift. My problem is y=5 sin(3x-pi/2).


write a word problem for 1/2 - 2/3 = and write a word problem for 5/12 - 1/3 =


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