Questions on Algebra: Trigonometry answered by real tutors!

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Question 152881: I HAVE BEEN GIVEN A TABLE WHICH SHOWS THE MEDIAN "B.M.I" (BODY MASS INDEX) FOR FEMALES OF DIFFERENT AGES IN THE U.S IN THE YEAR 2000 . THE QUESTION IS USE TECHNOLOGY TO PLOT THE DATA POINTS ON A GRAPH?? . DEFINE ALL VARIABLES USED AND STATE ANY PARAMETERS CLEARLY??what type of function ,models the behavior of the graph? explain why one chose this function?
AGE B.M.I
2 16.40
3 15.70
4 15.30
5 15.20
6 15.21
7 15.40
8 15.80
9 16.30
10 16.80
11 17.50
12 18.18
13 18.70
14 19.36
15 19.88
16 20.40
17 20.85
18 21.22
19 21.60
20 21.65
: I HAVE BEEN GIVEN A TABLE WHICH SHOWS THE MEDIAN "B.M.I" (BODY MASS INDEX) FOR FEMALES OF DIFFERENT AGES IN THE U.S IN THE YEAR 2000 . THE QUESTION IS USE TECHNOLOGY TO PLOT THE DATA POINTS ON A GRAPH?? . DEFINE ALL VARIABLES USED AND STATE ANY PARAMETERS CLEARLY??what type of function ,models the behavior of the graph? explain why one chose this function?
AGE B.M.I
2 16.40
3 15.70
4 15.30
5 15.20
6 15.21
7 15.40
8 15.80
9 16.30
10 16.80
11 17.50
12 18.18
13 18.70
14 19.36
15 19.88
16 20.40
17 20.85
18 21.22
19 21.60
20 21.65

Click here to see answer by jim_thompson5910(8066) About Me 

Question 152747: if tan = 6/5 and cos < 0 how do i find csc and sin, because i know cot and sec are the recipricols of tan and cos?: if tan = 6/5 and cos < 0 how do i find csc and sin, because i know cot and sec are the recipricols of tan and cos?
Click here to see answer by Alan3354(461) About Me 

Question 152749: from a 100 foot roof of a building on the coast, a tourist sights a ship. the angle of depression is 2.5 degrees. how far is the ship from the shoreline?
i put x/100 = tan 2.5 degress than cross multiplied and got 4.4 feet. id that right?
: from a 100 foot roof of a building on the coast, a tourist sights a ship. the angle of depression is 2.5 degrees. how far is the ship from the shoreline?
i put x/100 = tan 2.5 degress than cross multiplied and got 4.4 feet. id that right?

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Question 151158: tan ((pi/6)+pi/4)): tan ((pi/6)+pi/4))
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Question 152165: System of Linear Equations:
Solve the system using the addition method.
2x+3y=-16
5x-10y=30
: System of Linear Equations:
Solve the system using the addition method.
2x+3y=-16
5x-10y=30

Click here to see answer by jim_thompson5910(8066) About Me 

Question 151205: sin(x+y)-2sinx+sin(x-y)/cos(x+y)-2cosx+cos(x-y)= tan x: sin(x+y)-2sinx+sin(x-y)/cos(x+y)-2cosx+cos(x-y)= tan x
Click here to see answer by Edwin McCravy(1745) About Me 

Question 151396: how do i solve using one of the 6 sum/diff identities and not the calculator?
tan(5pi/3 - pi/4)
: how do i solve using one of the 6 sum/diff identities and not the calculator?
tan(5pi/3 - pi/4)

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Question 151392: tan(pi/6 + pi/4): tan(pi/6 + pi/4)
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Question 151160: tan ((4pi/3)-pi/4)): tan ((4pi/3)-pi/4))
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Question 150174: Please help me solve this problem!
If we establish an identity, -sin A csc A - sin^2 A - cos^2 A - tan A cot A would equal which of the following:
1. -2 + 2 sin^2 A
2. -3
3. 3 cos^2 A - 1
4. 3 cos^2 A - 2 sin^2 A
Thank you, Lennie
: Please help me solve this problem!
If we establish an identity, -sin A csc A - sin^2 A - cos^2 A - tan A cot A would equal which of the following:
1. -2 + 2 sin^2 A
2. -3
3. 3 cos^2 A - 1
4. 3 cos^2 A - 2 sin^2 A
Thank you, Lennie

Click here to see answer by jojo14344(282) About Me 

Question 151161: tan ((5pi/3)-pi/4)): tan ((5pi/3)-pi/4))
Click here to see answer by checkley77(1458) About Me 

Question 149422: If we establish an identity:
(tan A - cot A/tan A + cot A) would equal what?
: If we establish an identity:
(tan A - cot A/tan A + cot A) would equal what?

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Question 151156: sin105 degree=?: sin105 degree=?
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Question 151157: sin75 degree=?: sin75 degree=?
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Question 151155: sin(60 degree-45 degree): sin(60 degree-45 degree)
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Question 150901: tan 11pi/6: tan 11pi/6
Click here to see answer by jim_thompson5910(8066) About Me 

Question 150898: verify the identity
sin x/1-cot x- cos x/tan x-1 = sin x + cos x
: verify the identity
sin x/1-cot x- cos x/tan x-1 = sin x + cos x

Click here to see answer by vleith(924) About Me 

Question 150899: natural base (e): e^-0.95=?: natural base (e): e^-0.95=?
Click here to see answer by jim_thompson5910(8066) About Me 

Question 150754: sin^2 pi/3 + cos^2 pi/3. Use identity to find of the value of the expression (no calculator): sin^2 pi/3 + cos^2 pi/3. Use identity to find of the value of the expression (no calculator)
Click here to see answer by vleith(924) About Me 

Question 150766: verify the identity
1.sin x sec x
2. cos x csc x =cot x
: verify the identity
1.sin x sec x
2. cos x csc x =cot x

Click here to see answer by stanbon(17617) About Me 

Question 150756: csc^2 pi/6 - cot^2 pi/6. Use identity to find of the value of the expression (no calculator): csc^2 pi/6 - cot^2 pi/6. Use identity to find of the value of the expression (no calculator)
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Question 150753: whats is tan 11pi/6?: whats is tan 11pi/6?
Click here to see answer by josmiceli(1827) About Me 

Question 150600: Natural base (e) question.
e^-0.75
: Natural base (e) question.
e^-0.75

Click here to see answer by checkley77(1458) About Me 

Question 150529: if two rows of a determinant are interchanged, what is true of the resulting determinant?: if two rows of a determinant are interchanged, what is true of the resulting determinant?
Click here to see answer by Edwin McCravy(1745) About Me 

Question 150361: Please help me find the focus and the dirctrix of the parabola 16x^2=y.
There are 4 choices for an answer:
1. Focus (0,4), directrix y=-4
2. Focus (0,1/4), directrix y=-1/4
3. Focus (0,1/16), directrix y=-1/16
4. Focus (0,1/64), directrix y=-1/64
Thank you for your time and help, Natalie!
: Please help me find the focus and the dirctrix of the parabola 16x^2=y.
There are 4 choices for an answer:
1. Focus (0,4), directrix y=-4
2. Focus (0,1/4), directrix y=-1/4
3. Focus (0,1/16), directrix y=-1/16
4. Focus (0,1/64), directrix y=-1/64
Thank you for your time and help, Natalie!

Click here to see answer by Alan3354(461) About Me 

Question 150497: 1986 explosion at the Chernobyl nuclear power plant in the former soviet union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function f(x)=1000(0.5)^x/30 describes the amount, f(x) in kilograms, of cesium-137 remaining in Chernobyl x yrs after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl's atmosphere, the area is considered unsafe for humans. find f(80) and determine if Chernobyl will be safe to live in 2066.: 1986 explosion at the Chernobyl nuclear power plant in the former soviet union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function f(x)=1000(0.5)^x/30 describes the amount, f(x) in kilograms, of cesium-137 remaining in Chernobyl x yrs after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl's atmosphere, the area is considered unsafe for humans. find f(80) and determine if Chernobyl will be safe to live in 2066.
Click here to see answer by josmiceli(1827) About Me 

Question 150316: Please help me find the area of a triangle if:
a=2, b=1, and C=100 degrees.
The choices are as follows:
1. 0.98
2. 1.97
3. 0.17
4. 1.53
Thanks, Tami
: Please help me find the area of a triangle if:
a=2, b=1, and C=100 degrees.
The choices are as follows:
1. 0.98
2. 1.97
3. 0.17
4. 1.53
Thanks, Tami

Click here to see answer by josmiceli(1827) About Me 

Question 150312: Please help me write (3-2i) in polar form.
Here are the choices:
1. sqrt13(cos 33.7 degrees + i sin 33.7 degrees)
2. sqrt5(cos 326.3 degrees + i sin 326.3 degrees)
3. sqrt5(cos 33.7 degrees + i sin 33.7 degrees)
4. sqrt13(cos 326.3 degrees + i sin 326.3 degrees)
Thanks, Tami
: Please help me write (3-2i) in polar form.
Here are the choices:
1. sqrt13(cos 33.7 degrees + i sin 33.7 degrees)
2. sqrt5(cos 326.3 degrees + i sin 326.3 degrees)
3. sqrt5(cos 33.7 degrees + i sin 33.7 degrees)
4. sqrt13(cos 326.3 degrees + i sin 326.3 degrees)
Thanks, Tami

Click here to see answer by Fombitz(1174) About Me 

Question 150169: Would someone please help me with this problem?
Find the exact value of:
sin^-1 (-1/2)
Thank you, Ray
: Would someone please help me with this problem?
Find the exact value of:
sin^-1 (-1/2)
Thank you, Ray

Click here to see answer by jojo14344(282) About Me 

Question 150298: Please help me solve the following:
Which of the following describes the sequence:
5, (-5/3), (5/9), (-5/27), (5/81), ...
The answer choices are:
1. Geometric, r=(-1/3)
2. Arithmetic, d=(-1/3)
3. Geometric, r=(1/3)
4. Arithmetic, d=(-5/6)
Thank you, Ray
: Please help me solve the following:
Which of the following describes the sequence:
5, (-5/3), (5/9), (-5/27), (5/81), ...
The answer choices are:
1. Geometric, r=(-1/3)
2. Arithmetic, d=(-1/3)
3. Geometric, r=(1/3)
4. Arithmetic, d=(-5/6)
Thank you, Ray

Click here to see answer by Edwin McCravy(1745) About Me 

Question 150317: Please help me answer the following:
(-5,12) are the coordinates of a point in rectangular form. Find this point in polar form (r,A), with A expressed in radians.
The answer choices include:
1. (13,112.6)
2. (13,1.97)
3. (10.9,1.97)
4. (10.9,112.6)
Thanks, Tami
: Please help me answer the following:
(-5,12) are the coordinates of a point in rectangular form. Find this point in polar form (r,A), with A expressed in radians.
The answer choices include:
1. (13,112.6)
2. (13,1.97)
3. (10.9,1.97)
4. (10.9,112.6)
Thanks, Tami

Click here to see answer by Edwin McCravy(1745) About Me 

Question 150314: Please help me with this!
If:
z=4(cos 50 degrees + i sin 50 degrees) and w=2(cos 340 degrees + i sin 340 degrees), find z/w in polar form.
The choices that are given are:
1. 8(cos 390 degrees + i sin 390 degrees)
2. 2[cos (-290 degrees) + i sin (-290 degrees)]
3. 2(cos 290 degrees + i sin 290 degrees)
4. 2(cos 110 degrees + i sin 110 degrees)
Thanks, Tami
: Please help me with this!
If:
z=4(cos 50 degrees + i sin 50 degrees) and w=2(cos 340 degrees + i sin 340 degrees), find z/w in polar form.
The choices that are given are:
1. 8(cos 390 degrees + i sin 390 degrees)
2. 2[cos (-290 degrees) + i sin (-290 degrees)]
3. 2(cos 290 degrees + i sin 290 degrees)
4. 2(cos 110 degrees + i sin 110 degrees)
Thanks, Tami

Click here to see answer by Edwin McCravy(1745) About Me 

Question 150269: This problem is really difficult, I just can't seem to figure it out. Will someone PLEASE HELP ME!
If:
z = 6(cos 205 degrees + i sin 205 degrees) and w = 3(cos 85 degrees + i sin 85 degrees), which of the following is (z/w) in polar form?
1. 2(cos 290 degrees + i sin 290 degrees)
2. 0.5(cos(-120 degrees) + i sin (-120 degrees))
3. 18(cos 290 degrees + i sin 290 degrees)
4. 2(cos 120 degrees + i sin 120 degrees)
Thanks again for all of your help, I really appreciate it!
Natalie
: This problem is really difficult, I just can't seem to figure it out. Will someone PLEASE HELP ME!
If:
z = 6(cos 205 degrees + i sin 205 degrees) and w = 3(cos 85 degrees + i sin 85 degrees), which of the following is (z/w) in polar form?
1. 2(cos 290 degrees + i sin 290 degrees)
2. 0.5(cos(-120 degrees) + i sin (-120 degrees))
3. 18(cos 290 degrees + i sin 290 degrees)
4. 2(cos 120 degrees + i sin 120 degrees)
Thanks again for all of your help, I really appreciate it!
Natalie

Click here to see answer by Edwin McCravy(1745) About Me 

Question 150294: Please Help!
The product of:
2 1
-3 5
and
3 1 -1
2 4 -2
all in brackets, is what?
Thank you for your time!
: Please Help!
The product of:
2 1
-3 5
and
3 1 -1
2 4 -2
all in brackets, is what?
Thank you for your time!

Click here to see answer by Fombitz(1174) About Me 

Question 150295: Please Help!
What would be the determinant of Dx, if Cramer's Rule is used to solve:
3x-2y=5
2x+5y=-3
Thank you for your time!
: Please Help!
What would be the determinant of Dx, if Cramer's Rule is used to solve:
3x-2y=5
2x+5y=-3
Thank you for your time!

Click here to see answer by Alan3354(461) About Me 

Question 150253: Will someone please help me, I'm so confused!
If we extablish an identity, (in simplest terms) 4 sec^2 A - 7 tan^2 A would equal what?
1. (4 cos^2 A - 3 sin^2 A)/(cos^2 A)
2. 4 - 3 tan^2 A
3. 1
4. (7 - 3 cos^2 A)/(cos^2 A)
Thank you so much for your time and help, Natalie!
: Will someone please help me, I'm so confused!
If we extablish an identity, (in simplest terms) 4 sec^2 A - 7 tan^2 A would equal what?
1. (4 cos^2 A - 3 sin^2 A)/(cos^2 A)
2. 4 - 3 tan^2 A
3. 1
4. (7 - 3 cos^2 A)/(cos^2 A)
Thank you so much for your time and help, Natalie!

Click here to see answer by Fombitz(1174) About Me 

Question 150255: I have been trying to work this problem for a while now and I just can't seem to get it, will someone PLEASE HELP me!
Write 3(cos 60 degrees + i sin 60 degrees) in the form (a + bi).
Thank you so much, Natalie!
: I have been trying to work this problem for a while now and I just can't seem to get it, will someone PLEASE HELP me!
Write 3(cos 60 degrees + i sin 60 degrees) in the form (a + bi).
Thank you so much, Natalie!

Click here to see answer by Fombitz(1174) About Me 

Question 150200: This problem is really frustrating me, I just don't understand, will someone please help?
Find teh area of a triangle if side b = 5, side c = 4, and angle A = 20 degrees.
Thank you so much for your time!
Lindsey
: This problem is really frustrating me, I just don't understand, will someone please help?
Find teh area of a triangle if side b = 5, side c = 4, and angle A = 20 degrees.
Thank you so much for your time!
Lindsey

Click here to see answer by stanbon(17617) About Me 

Question 150137: Will someone please help me! I do not understand how to get to the polar form!
Write the following as a complex number in polar form:
sqrt.3 + i
Thank you for your time, Natalie
: Will someone please help me! I do not understand how to get to the polar form!
Write the following as a complex number in polar form:
sqrt.3 + i
Thank you for your time, Natalie

Click here to see answer by scott8148(2423) About Me 

Question 150175: Please help me with the following problem:
If we extablish an identity:
(cos^2 A)/(1 + sin A) would equal which of the following?
1. cos^2 A + cot A cos A
2. 1 + sin A
3. 1 - sin A
4. 1
Thank you, Lennie
: Please help me with the following problem:
If we extablish an identity:
(cos^2 A)/(1 + sin A) would equal which of the following?
1. cos^2 A + cot A cos A
2. 1 + sin A
3. 1 - sin A
4. 1
Thank you, Lennie

Click here to see answer by stanbon(17617) About Me 
Question 150175: Please help me with the following problem:
If we extablish an identity:
(cos^2 A)/(1 + sin A) would equal which of the following?
1. cos^2 A + cot A cos A
2. 1 + sin A
3. 1 - sin A
4. 1
Thank you, Lennie
: Please help me with the following problem:
If we extablish an identity:
(cos^2 A)/(1 + sin A) would equal which of the following?
1. cos^2 A + cot A cos A
2. 1 + sin A
3. 1 - sin A
4. 1
Thank you, Lennie

Click here to see answer by jim_thompson5910(8066) About Me 

Question 150173: Please help me solve this using matrices:
x + 2y - z = 2
2x - 2y + z = -1
6x +4y +3z = 5
Thank you so much, Lennie
: Please help me solve this using matrices:
x + 2y - z = 2
2x - 2y + z = -1
6x +4y +3z = 5
Thank you so much, Lennie

Click here to see answer by Fombitz(1174) About Me 

Question 150080: Again will someone please help!
Find the area of a triangle if side a = 3, and sides b and c = 2.
Thanks again, Ray
: Again will someone please help!
Find the area of a triangle if side a = 3, and sides b and c = 2.
Thanks again, Ray

Click here to see answer by Alan3354(461) About Me 

Question 150077: Please help me find the solution to this problem!
If side a = 1, side b = 2, and angle C = 60 degrees, find side c.
Thank you for help, Ray!
: Please help me find the solution to this problem!
If side a = 1, side b = 2, and angle C = 60 degrees, find side c.
Thank you for help, Ray!

Click here to see answer by vleith(924) About Me