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Tutors Answer Your Questions about Trigonometry-basics (FREE)
Question 77426: For independence Day, the village of treetop is planning to launch fireworks from a barge on the lake. The rockets will achieve a height represented by the function H(t)=-16t^2+96t+4 where h(t) is measured in feet and t is time in seconds after launch.
A) At what time to the nearest second is the fireworks rocket at its highest point ?
B) if the rocket is designed to explode at its highest point, to the nearest foot, how high is the rocket when it explodes?
Click here to see answer by jim_thompson5910(13794)   |
Question 77495: I am having trouble finding the x-intercepts for the following situation.
The quarterback is standing on the opponents' 40-yard line. He throws a pass toward their goal line. The ball is 2 meters above the ground when the quarterback lets go. It follows a parabolic path, reaching its highest point, 14 meters above the ground, as it crosses the 20-yard line.
Can you Please help???? Thank you in advance.
Click here to see answer by ankor@dixie-net.com(6693)  |
Question 77574: can someone please help me with this. What is the particular equation for the quadratic function described in the situation.
The sluggers were up to bat in the bottom of the ninth inning in a game against the ditchers. Theo Slam was up to bat. As he plugged the ball toward left field, it rose from 3 to 10 to 50 feet as the horizontal distance from home plate increased from 0 to 2 to 14 feet. Assume that the vertical distance varies quadratically with the horizontal distance.
Click here to see answer by stanbon(26297) |
Question 77597: can someone please help me with this. What is the vertex and the x- intercepts.
The sluggers were up to bat in the bottom of the ninth inning in a game against the ditchers. Theo Slam was up to bat. As he plugged the ball toward left field, it rose from 3 to 10 to 50 feet as the horizontal distance from home plate increased from 0 to 2 to 14 feet. Assume that the vertical distance varies quadratically with the horizontal distance.: can someone please help me with this. What is the particular equation for the quadratic function described in the situation.
The sluggers were up to bat in the bottom of the ninth inning in a game against the ditchers. Theo Slam was up to bat. As he plugged the ball toward left field, it rose from 3 to 10 to 50 feet as the horizontal distance from home plate increased from 0 to 2 to 14 feet. Assume that the vertical distance varies quadratically with the horizontal distance.
Please help!!!
Click here to see answer by jim_thompson5910(13794) |
Question 77598: can someone please help me with this. What is the vertex and x-intercepts for the quadratic function described in the situation.
The sluggers were up to bat in the bottom of the ninth inning in a game against the ditchers. Theo Slam was up to bat. As he plugged the ball toward left field, it rose from 3 to 10 to 50 feet as the horizontal distance from home plate increased from 0 to 2 to 14 feet. Assume that the vertical distance varies quadratically with the horizontal distance.
Can someone please help me!!!!!!!!!!!!!!
Click here to see answer by stanbon(26297) |
Question 77638: This is a worksheet problem.
Thank you!
Suppose the angle of elevation to the top of a tree is 50 degrees. If you are standing 35 feet away from the tree, how tall is the tree?
Thank you so much again!
Click here to see answer by stanbon(26297) |
Question 77862: Solve each equation on the interval 0
1. cos^2(x)-sin^2(x)+sin(x)=0
2. sin^2(x)= 6(cosx+1)
3. 2sin^2(x)= 3(1-cosx)
4. cos(x)=sin(x)
5. cos(x)+sin(x)=0
6. tan(x)=2sin(x)
7. 1+sin(x)=2cos^2(x)
8. sin^2(x)=2cos(x)+2
9. tan^2(x)= 3/2 sec(x)
10. csc^2(x)=cot(x)+1
11. sec^2(x)+tan(x)=0
12. sec(x)=tan(x)+cot(x)
13. sin(x)- [square root of 3]cos(x)= 1
Click here to see answer by Edwin McCravy(2922) |
Question 77922: find all solutions for equation with value of x between 0 and 360 degrees:
1. sin(4x) + sin x = 0
I have 2(2sin(x) cos (x))(cox(2x)) + sin x = 0
so far but don't know which identity to use for cos(2x) that will help solve.
This is from my daughter's textbook but I don't have the book with me now. She's taking pre-calc in high school. Thanks
Click here to see answer by jim_thompson5910(13794) |
Question 78210This question is from textbook
: An architect designs a house that is 12 m wide. The rafters holding up the roof are equal in length and meet at an angle of 70 degrees. The rafters extend 0.3 m beyond the supporting wall. How long are the rafters?This question is from textbook
Click here to see answer by ankor@dixie-net.com(6693) |
Question 78178: A ladder 20 feet long leans against the side of a building, and the angle between the ladder and the building is 22 degrees. a) find the distance from the bottom of the ladder to the building to the nearest tenth. b) If the distance from the bottom of the ladder to the building is increased by 3 feet, how far does the top of the ladder move down the building? This is what I have done a) sin90/20= sin22/b
20sin22/sin90 =b
7.49=b
Is this correct?
b)sin22/10.5 = sin90/a
10.5sin90/sin22=a
22.03=a
Is this correct?
Can you help me? This is a worksheet problem assigned by my teacher.
Click here to see answer by 303795(562) |
Question 78336: Find all solutions to the equation on the interval [0,2pie) cos(2theta)-tan(theta)=1
Here is my work: *=theta
cos(2*)-tan(*)-1=0
1-2sin^2(*)-sin(*)/cos(*)-1=0
cos(*)-2sin^2(*)cos(*)-sin(*)-cos(*)=0
-2sin^2(*)cos(*)-sin(*)=0
-Sin(*)[2sin(*)cos(*)-1]=0
-sin(*)=0 2sin(*)cos(*)=0
-(*)=-pie/2,-3pie/2 sin(*)=0 cos(*)=0
(*)=pie/2,3pie/2 (*)=pie, 2pie
Did I do this correctly?
Click here to see answer by jim_thompson5910(13794) |
Question 79379: I need some help with this problem.
The 24 lines of longitude that approximate the 24 standard time zones are equally spaced around the equator.
a. Suppose you use 24 central angles to divide a circle into 24 equal archs. Express the measure of the angles in radians.
b. The radius of the equator is 3960 mi. About how wide is each time zone at the equator.
c. The radius of the Arctic Circle is about 1580 mi. About how wide is each time zone at the artic circle?
please help me
Click here to see answer by stanbon(26297) |
Question 79822This question is from textbook Algebra 2 with Trigonometry
: cos2xcosx+sin2xsinx=1
I have to solve this problem in terms of the unit circle by using the Double Angle Identities, but I have no idea how to solve the problem after I plug them in. So far I have: (cos^2x-sin^2x)*(cosx)+(2sinx-cosx)*(sinx)=1 Is this even close to being on the right track? If someone could just help me get to what sinx and cosx equal I can find the radian angles from there. Thanks!!!
This question is from textbook Algebra 2 with Trigonometry
Click here to see answer by Edwin McCravy(2922) |
Question 80072This question is from textbook Algebra and Trigonometry with Analytic Geometry
: PROBLEM:
The amount of a radioactive tracer remaining after 't' days is given by  , where A0 is the starting amount at the beginning of the time period. How many days will it take for one half of the original amount to decay?
OPTIONS:
a. 10 days
b. 11 days
c. 12 days
d. 13 days
MY WORK SO FAR:
FORMULA: "Law of growth or decay" let 'A0' be the value of a quantity 'A' at time 't'=0 (that is, 'A0' is the initial amount of 'A'.) If 'A' changes instantaneously at a rate proportional to itscurrent value, then  where r>0 is the rate of growth (or r<0 is the rate of decay) of A.
therefore if we use the formula then we have
QUESTIONS:
1. What is the first step into solving this problem?
2. What are the ways to gather the information needed to continue solving this problem?This question is from textbook Algebra and Trigonometry with Analytic Geometry
Click here to see answer by bucky(1732) |
Question 80409: A crate weighing w pounds sits on a ramp positioned at an angle of theta with the horizontal. The forces acting on this crate are modeled by the equation Mw cos theta =w sin theta, where M is the coefficient of friction. What is an expression for M in terms of theta?
Click here to see answer by stanbon(26297) |
Question 81409This question is from textbook Precalculus
: the frog population in a small pond grows exponentially. The current population is 85 frogs, and the relative growth rate is 18% per year.
a. find function that models the population after t years.
b. find the projected population after 3 years.
c. find the number of years required for the frog population to reach 600. This question is from textbook Precalculus
Click here to see answer by stanbon(26297) |
Question 81409This question is from textbook Precalculus
: the frog population in a small pond grows exponentially. The current population is 85 frogs, and the relative growth rate is 18% per year.
a. find function that models the population after t years.
b. find the projected population after 3 years.
c. find the number of years required for the frog population to reach 600. This question is from textbook Precalculus
Click here to see answer by SMM52091(3) |
Question 81509This question is from textbook Precalculus
: The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours.
a. What is the relative rate of growth of the bacteria population? expres it as a percentage.
b. What was the initial size of the culture?
c.Find a function the models the number of bacteria n(t) after t hours.
d. Find the function that models the number of bacteria 4.5 hours.
e. When will the number of bacteria be 50,000?
This question is from textbook Precalculus
Click here to see answer by stanbon(26297) |
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