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Recent problems solved by 'stanbon'
stanbon answered: 57151 problems
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53010..53039 , 53040..53069 , 53070..53099 , 53100..53129 , 53130..53159 , 53160..53189 , 53190..53219 , 53220..53249 , 53250..53279 , 53280..53309 , 53310..53339 , 53340..53369 , 53370..53399 , 53400..53429 , 53430..53459 , 53460..53489 , 53490..53519 , 53520..53549 , 53550..53579 , 53580..53609 , 53610..53639 , 53640..53669 , 53670..53699 , 53700..53729 , 53730..53759 , 53760..53789 , 53790..53819 , 53820..53849 , 53850..53879 , 53880..53909 , 53910..53939 , 53940..53969 , 53970..53999 , 54000..54029 , 54030..54059 , 54060..54089 , 54090..54119 , 54120..54149 , 54150..54179 , 54180..54209 , 54210..54239 , 54240..54269 , 54270..54299 , 54300..54329 , 54330..54359 , 54360..54389 , 54390..54419 , 54420..54449 , 54450..54479 , 54480..54509 , 54510..54539 , 54540..54569 , 54570..54599 , 54600..54629 , 54630..54659 , 54660..54689 , 54690..54719 , 54720..54749 , 54750..54779 , 54780..54809 , 54810..54839 , 54840..54869 , 54870..54899 , 54900..54929 , 54930..54959 , 54960..54989 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179, >>NextMixture_Word_Problems/310604: A chemical solution contains 4% salt. How much salt is in 0.5 ml of solution? Round your
answer to three decimal places, if necessary.
1 solutions
Answer 222297 by stanbon(57219)   on 2010-06-02 20:39:36 (Show Source):
You can put this solution on YOUR website!A chemical solution contains 4% salt. How much salt is in 0.5 ml of solution? How much salt is in 0.5 ml of solution? Round your answer to three decimal places, if necessary.
---------------------------------
0.04*0.5 = 0.02 ml of salt
===========================
Cheers,
stan H.
|
Mixture_Word_Problems/310828: How much water must be added to 300ML of a 60% acid solution in order to dilute it to a solution of 45% acids?
1 solutions
Answer 222294 by stanbon(57219) on 2010-06-02 20:32:04 (Show Source):
You can put this solution on YOUR website!How much water must be added to 300ML of a 60% acid solution in order to dilute it to a solution of 45% acids?
Equation:
acid + acid = acid
0.60*300 + 0*x = 0.45(300+x)
-----
Multiply thru by 100 to get:
60*300 + 0 = 45*300 + 45x
45x = 15*300
x = (1/3)(300)
x = 100 ML (amt. of water that must be added to the mix)
===================================
Cheers,
Stan H.
|
test/310825: On a geologist map,an elliptical lake with center (0,0) has vertex (0,9) and co-vertex (6,0).what is the equation of the ellipse?
1 solutions
Answer 222293 by stanbon(57219) on 2010-06-02 20:27:17 (Show Source):
You can put this solution on YOUR website!On a geologist map,an elliptical lake with center (0,0) has vertex (0,9) and co-vertex (6,0).what is the equation of the ellipse?
-------------------------------------------
semi-major axis is 9
semi-minor axis is 6
---
Equation:
x^2/36 + y^2/81 = 1
==========================
Cheers,
Stan H.
|
Probability-and-statistics/310824: Hi, I really need help on my statistics final, the question is pretty long:
For my final I created a survey with the question: Is there a gender preference for fries or onion rings? My null and alternate hypotheses are:
HO: There is not a gender preference for either fries or onion rings.
HA: There is a gender preference for either fries or onion rings.
I've collected the data, and now I need to perform a hypothesis test and I just don't know which one to do. Do I do two seperate two proportion z-tests? And if so, how would I represent that data?
I'm sorry for such a long question, and I would truly appreciate any help that you can give me.
1 solutions
Answer 222291 by stanbon(57219) on 2010-06-02 20:24:40 (Show Source):
|
Equations/310813: If you multiply x by 2/3 and then subtracts 12 from the product, the difference is equal to the original number x multiplied by 1/3 what is x? Write the equation.
1 solutions
Answer 222288 by stanbon(57219) on 2010-06-02 20:17:38 (Show Source):
You can put this solution on YOUR website!If you multiply x by 2/3 and then subtracts 12 from the product, the difference is equal to the original number x multiplied by 1/3 what is x? Write the equation.
-----------------------
Equation:
(2/3)x - 12 = (1/3)x)
---
subtract (1/3)x from both sides and solve for "x":
(1/3)x = 12
x = 36
===================
Cheers,
Stan H.
|
Linear-equations/310808: An automobile purchased for 24,000 is depreciated using the straight line method over 5yrs. what will be the book valueat the end of yr 3? Assuming scrap value is $0.
1 solutions
Answer 222282 by stanbon(57219) on 2010-06-02 19:54:27 (Show Source):
You can put this solution on YOUR website!An automobile purchased for 24,000 is depreciated using the straight line method over 5yrs. what will be the book value at the end of yr 3? Assuming scrap value is $0.
----------------------------
You have two points relating value and time:
(0, 20,000) and (5,0)
---
slope = (0-20,000)/(5-0) = -4000
intercept = 20,000
--------------------------
Equation:
V(t) = -4000t + 20,000
---------------------------
V(3) = -4000*3 + 20,000
V(3) = $8000
==============================
Cheers,
Stan H.
=================
|
Linear-systems/310807: what value of b will make the system y=2x+7 and y=2.5x+b intersect at the point (-1,5)?
1 solutions
Answer 222281 by stanbon(57219) on 2010-06-02 19:37:27 (Show Source):
You can put this solution on YOUR website!what value of b will make the system y=2x+7 and y=2.5x+b intersect at the point (-1,5)?
----
Substitute for x and y and solve for "b":
5 = 2.5(-1) + b
b = 7.5
=============================================
Cheers,
Stan H.
---------------
|
Probability-and-statistics/310778: using the letters from the word equation, how many 5 letter patterns can be formed in which q is followed immediately by u?
1 solutions
Answer 222279 by stanbon(57219) on 2010-06-02 19:26:14 (Show Source):
You can put this solution on YOUR website!using the letters from the word equation, how many 5 letter patterns can be formed in which q is followed immediately by u?
If u always follows q the pair qu acts like one letter.
---
So there are 7 "letters" to arrange.
----
# of arrangements = 7! = 540
---------------------------------
Cheers,
Stan H.
|
Probability-and-statistics/310792: From a large survey of customers using a chain of coffee shops, 60% of the customers are male, 50% purchase food, 15% are both Male and purchase food.
What are the probability that: A customer is both female and purchases food? A female customer purshases food? A customer purchasing food is female?
1 solutions
Answer 222278 by stanbon(57219) on 2010-06-02 19:19:33 (Show Source):
You can put this solution on YOUR website!From a large survey of customers using a chain of coffee shops, 60% of the customers are male, 50% purchase food, 15% are both Male and purchase food.
What are the probability that: A customer is both female and purchases food? A female customer purshases food? A customer purchasing food is female?
------
With the given data, develop a contingency table.
---------------
Let fe be female ; Let fo be purchases food
P(fe and fo) = 0.35
P(fo | fe) = 35/40 = 0.875
P(fe | fo) = 35/50 = 0.70
=========================
Cheers,
Stan H.
|
Trigonometry-basics/310668: Solve the following oblique triangles
1. a=23.47, b=115 degrees, 30', and c=20 degrees, 29'.
2. a=134.2, b=84.54, and B=52 degrees, 9 minutes, 11 seconds.
3. a=627.7, b=412.2, and A=66 degrees, 47'.
i knows its alot but anyones help will be appreciated
Thank you :D
1 solutions
Answer 222268 by stanbon(57219) on 2010-06-02 18:44:24 (Show Source):
You can put this solution on YOUR website!Solve the following oblique triangles
1. a=23.47, B=115 degrees, 30', and C=20 degrees, 29'.
Angle A = 180-(B + C)
Then use the Law of Sines to find b, and c
b/sin(B) = a/sin(A)
c/sin(C) = a/sin(A)
----------------------------------
2. a=134.2, b=84.54, and B=52 degrees, 9 minutes, 11 seconds.
Find angle "A" using the Law of Sines:
sin(A)/a = sin(B)/b
-----------
Then angle C = 180-(A + B)
Then use Law of Sines to find c:
c/sin(C) = b/sin(B)
-----------
3. a=627.7, b=412.2, and A=66 degrees, 47'.
Can you now handle this one?
===============================
Cheers,
Stan H.
|
Trigonometry-basics/310783: solve for all values of θ for = the < 360 degrees, that satisfy the equation sec ^2 θ - 3=tan θ , to the nearest tenth of a degree
1 solutions
Answer 222263 by stanbon(57219) on 2010-06-02 18:33:10 (Show Source):
You can put this solution on YOUR website!solve for all values of θ for = the < 360 degrees, that satisfy the equation sec ^2 θ - 3=tan θ , to the nearest tenth of a degree
--------------------------
sec^2(x) - 3 = tan(x)
-------------
Note: sec^2(x) = tan^2(x) + 1
--------------
tan^2(x) + 1 - 3 = tan(x)
Rearrange:
tan^2(x) - tan(x) -2 = 0
Factor:
(tan(x)-2)(tan(x)+1) = 0
tan(x) = 2 or tan(x) = -1
x = 63.43 degrees or x = 63.43+180 = 243.43 degrees
x = 135 degrees or x = 315 degrees
========================================
Cheers,
Stan H.
|
Travel_Word_Problems/310782: If I make $120 an hour per dump truck to how much would I make in an hour and 10 minutes?
Please describe how this solution was calculated. Thank you
1 solutions
Answer 222258 by stanbon(57219) on 2010-06-02 18:20:25 (Show Source):
You can put this solution on YOUR website!If I make $120 an hour per dump truck to how much would I make in an hour and 10 minutes?
Please describe how this solution was calculated.
--------------------------
money and time are directly related.
m = kh
Solve for "k":
120 = k*1
k = 120
----
Equation:
m = 120h
---
Solve for "m" if h = 7/6 hr
---
m = 120(7/6)
m = $140
===================
Cheers,
Stan H.
=============
|
Triangles/310779: The lengths of the sides of four triangles are given. Which triangle is a right triangle?
A) 6 in., 6 in., 6 in.
B) 8 in., 9 in., 10 in.
C) 5 in., 9 in., 12 in.
D) 9 in., 12 in., 15 in.
1 solutions
Answer 222255 by stanbon(57219) on 2010-06-02 18:15:47 (Show Source):
You can put this solution on YOUR website!The lengths of the sides of four triangles are given. Which triangle is a right triangle?
---
The square of the largest side must equal the sum of the squares of
the other two sides.
-----------------------------
A) 6 in., 6 in., 6 in.:::: no
B) 8 in., 9 in., 10 in.::: no
C) 5 in., 9 in., 12 in.::: no
D) 9 in., 12 in., 15 in.:: yes
===================================
Cheers,
Stan H.
============
|
Linear-equations/310775: solve by elimination method. Thank you - I am getting substitution but this is
really hard.
x+6y=16
-x+6y=8 I did come up with 12y=8 and then I get stuck.
1 solutions
Answer 222250 by stanbon(57219) on 2010-06-02 18:09:43 (Show Source):
You can put this solution on YOUR website!x+6y=16
-x+6y=8
I did come up with 12y=8 and then I get stuck.
---------------------------------------------------
Good so far:
12y = 8
y = 2/3
---
Substitute into x+6y = 16
x + 6(2/3) = 16
x + 4 = 16
x = 12
--------------------------
Cheers,
Stan H.
|
test/310772: Simirpreet can type 225 words in 3 minutes. At that rate, how many words can she type in 7 minutes?
1 solutions
Answer 222247 by stanbon(57219) on 2010-06-02 18:02:42 (Show Source):
You can put this solution on YOUR website!Simirpreet can type 225 words in 3 minutes. At that rate, how many words can she type in 7 minutes?
--------------
Proportion:
x/7 = 225/3
---
x = 7(225/3)
x = 525
=================
Cheers,
Stan H.
|
Linear-equations/310770: I have the solution i need the equations (-2,7)
1 solutions
Answer 222246 by stanbon(57219) on 2010-06-02 18:00:27 (Show Source):
You can put this solution on YOUR website!I have the solution i need the equations (-2,7)
----------
Start with x = -2 ; y = 7
----
Manipulate to create two equation:
2x=-4 ; 3y = 21
Add to get one equation:
2x + 3y = 17
----------------------------
-x = 2 ; 7y = 49
Combine to get a 2nd equation:
-x + 7y = 51
=================================
You now have a system of two equations
whose solution is (-2,7)
=================================
Cheers,
Stan H.
|
Triangles/310727: how do you find the base and height of a triangle if the area is 338 and the hieght is 4 times the base?
1 solutions
Answer 222207 by stanbon(57219) on 2010-06-02 15:47:28 (Show Source):
You can put this solution on YOUR website!how do you find the base and height of a triangle if the area is 338 and the height is 4 times the base?
-------------------------------------
Area = (1/2)bh
338 = (1/2)x(4x)
676 = 4x^2
x^2 = 169
x = 13
================
Cheers,
Stan H.
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Trigonometry-basics/310723: Find to the nearest degree all values of theta in the interval 0 degrees is less than or equal to theta which is less than or equal to 180 degrees that satisfy the equation 8cos(squared)theta-2cos(theta)-1=0
1 solutions
Answer 222205 by stanbon(57219) on 2010-06-02 15:43:43 (Show Source):
You can put this solution on YOUR website!Find to the nearest degree all values of theta in the interval 0 degrees is less than or equal to theta which is less than or equal to 180 degrees that satisfy the equation
8cos(squared)theta-2cos(theta)-1=0
------
Factor:
(4cos(x)+1)(2cos(x)-1) = 0
---
cos(x) = -1/4 or cos(x) = 1/2
x = 104.48 deg or x = 60 deg.
===================================
Cheers,
Stan H.
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Probability-and-statistics/310652: 2. A local tire store suspects that the mean life of a new discount tire is less that 39,000 miles. To check the claim, the store selects randomly 18 of these new discount tires. When they are tested, it is found that the mean life is 38,250 miles with a sample standard deviation s = 1200 miles. Assume the distribution is normally distributed.
a. Use the critical value t0 method from the normal distribution to test for the population mean . Test the company’s claim at the level of significance = 0.05.
(References: example 1 though 5 pages 397 - 401, end of section exercises 23 – 28 pages 404 - 405) (5 points)
1. H0 :
Ha :
2. =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:
b. Use the critical value t0 method from the normal distribution to test for the population mean m. Test the company’s claim at the level of significance a = 0.01
(References: example 1 though 5 pages 397 - 401, end of section exercises 23 – 28 pages 404 - 405) (5 points)
1. H0 :
Ha :
2. a =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:
1 solutions
Answer 222145 by stanbon(57219) on 2010-06-02 12:34:36 (Show Source):
You can put this solution on YOUR website!A local tire store suspects that the mean life of a new discount tire is less that 39,000 miles. To check the claim, the store selects randomly 18 of these new discount tires. When they are tested, it is found that the mean life is 38,250 miles with a sample standard deviation s = 1200 miles. Assume the distribution is normally distributed.
a. Use the critical value t0 method from the normal distribution to test for the population mean . Test the company’s claim at the level of significance = 0.05.
---------------------------
1. H0 : u = 39000
Ha : u is not equal to 39000
-----------------
2. = 5%
3. Test statistics: t = (38250-39000)/[1200/sqrt(18)] = -2.6517
4. P-value or critical : p-value = 2*P(t < -2.6517 with df = 17) = 0.0168
5. Rejection Region: t< invT(0.025 with df=17)U t> invT(0.0975 with df=17)
6. Decision: Since the p-value is less than 5%, reject Ho.
7. Interpretation: The test results do not support the company claim.
==========================================================================
b. Use the critical value t0 method from the normal distribution to test for the population mean m. Test the company’s claim at the level of significance a = 0.01
(References: example 1 though 5 pages 397 - 401, end of section exercises 23 – 28 pages 404 - 405) (5 points)
1. H0 :
Ha :
2. a =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:
----
Answers are the same as for the 1st problem except for the conclusion.
Since the p-value is greater than 1%, fail to reject Ho.
The test results support the company claim.
===============================================
Cheers,
Stan H.
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Sequences-and-series/310633: I can't remember how to solve the infinite series.
1. What is the solution to the infinite geometric series... the lower limit is = to 1. The upper limit is the infinite symbol. 0.8(0.2)^(n-1).
Now I know the formula is a1/1 - r. But I can't remember which goes for A1 and which goes for r.
2. What is the solution to the infinite geometric series... the lower limit is = to 1. The upper limit is the infinite symbol. (-2/3)^(n-1)
1 solutions
Answer 222128 by stanbon(57219) on 2010-06-02 09:51:46 (Show Source):
You can put this solution on YOUR website!1. What is the solution to the infinite geometric series... the lower limit is = to 1. The upper limit is the infinite symbol. 0.8(0.2)^(n-1).
--
S = a(1)[1/(1-r)
a(1) = 0.8(0.2)^(0) == 0.8
r = 0.2
---
S = 0.8[1-0.2] = 1
===============================
2. What is the solution to the infinite geometric series... the lower limit is = to 1. The upper limit is the infinite symbol. (-2/3)^(n-1)
-------
This series alternates : 1, -2/3, 4/9, -8/27, 16/81... etc.
So you have two series:
1, 4/9, 16/81,...
and
(-2/3), (-8/27)...
----
The sum of the 1st = ?
a(1) = 1
r = 4/9
S = 1/(1- 4/9) = 1/(5/9) = 9/5
------
The sum of the 2nd = ?
a(1) = -2/3r = (4/9)
S = (-2/3)/[1-4/9] = (-2/3)/(5/9) = -6/5
---------------
Total sum = (9/5)-(6/5) = 3/5
==================================
Note: You can find reminders of how to handle virtually
all math procedures by using Google on the web.
==================================
Cheers,
Stan H.
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Probability-and-statistics/310543: You are trying to collect all nine baseball cards for an All-Star team. Each package of cards he can buy has one card of a member of the team. The cards are equally distributed among all the packages. How could you use a simulation to estimate the number of packages of cards you will need to buy to get all nine cards?
1 solutions
Answer 222123 by stanbon(57219) on 2010-06-02 09:34:15 (Show Source):
You can put this solution on YOUR website!You are trying to collect all nine baseball cards for an All-Star team. Each package of cards he can buy has one card of a member of the team. The cards are equally distributed among all the packages. How could you use a simulation to estimate the number of packages of cards you will need to buy to get all nine cards?
------
Let the digits 1 thru 9 represent the card different baseball cards.
----
Pick an arbitrary starting point on a random-number table.
Count how many digits you have to read thru till you have seen
a 1, a 2, a 3, a 4 ...,an 8, and a 9.
-----------------
Pick another random starting point or continue from where you
left off after the 1st count.
Again, count how many digits you have to read thru till you have
seen the digits 1 thru 9.
Do that 25 times; find the average number of the counts.
That is the estimated number of packages of cards you would
have to buy to get the 9 cards you are looking for.
================
cheers,
Stan H.
================
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Rectangles/310629: a rectangle has a lenght of 4 feet and a perimeter of 14 feet. what is the perimeter of a similar rectangle with a width of 9 feet?
a.36ft
b.42ft
c.108ft
d.126ft
1 solutions
Answer 222122 by stanbon(57219) on 2010-06-02 09:26:05 (Show Source):
You can put this solution on YOUR website!a rectangle has a length of 4 feet and a perimeter of 14 feet.
Find width:
2(L+W) = 14
L+W = 7
4+W = 7
W = 3
-------------------------------
what is the perimeter of a similar rectangle with a width of 9 feet?
Find the lenght of this rectangle:
L/4 = 9/3
L = 12
------------------------------
Perimeter = 2(L+W) = 2(12+9) = 42 feet
===========================================
a.36ft
b.42ft
c.108ft
d.126ft
===================
cheers,
Stan H.
===================
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logarithm/310625: There are three of them that I can't seem to solve. thank you.
1. Which of the following is equivalent to log xy^3/5?
a. log2(3x-2y)
b. log2(x^3 - y^2)
c. log 2 3x/2y
d. log 2 x^3/y^2
2. Which of the following is equivalent to log5?
a. log5x + 3log5y
b. logx + 3logy - log 5
c. (logx) x (3logy)/ log5
d. logx + 3logy/log5
3. Which of the following is the solution to the equation logx - log4 = 3?
a. 7
b. 12
c. 250
d. 4000
1 solutions
Answer 222120 by stanbon(57219) on 2010-06-02 09:20:53 (Show Source):
You can put this solution on YOUR website!There are three of them that I can't seem to solve. thank you.
1. Which of the following is equivalent to log2(xy^3/5)?
log2(xy^(3)/5)
---
Comment: None of these answers is equivalent to what you have posted.
Please check your post.
-----------
a. log2(3x-2y)
b. log2(x^3 - y^2)
c. log 2 3x/2y
d. log 2 x^3/y^2
======================================================================
2. Which of the following is equivalent to log5?
Comment: None
Please check your posting of the problem.
---
a. log5x + 3log5y
b. logx + 3logy - log 5
c. (logx) x (3logy)/ log5
d. logx + 3logy/log5
3. Which of the following is the solution to the equation logx - log4 = 3?
log(x/4) = 3
x/4 = 10^3
x/4 = 1000
x = 4000
Comment: Again; your answer choices do not fit the problem statement.
---
a. 7
b. 12
c. 250
===============
Cheers,
Stan H.
===============
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Rational-functions/310623: 1. Rationalize the denominator and simplify the expression below.
4/2- squar 5
It's suppose to be where the 5 is under the square root.
2. Simplify the equation y= 2^3 squar 8x-24 and describe the graph of the function using a translation. (the 8x - 24 is under a square root)
1 solutions
Answer 222117 by stanbon(57219) on 2010-06-02 09:11:06 (Show Source):
You can put this solution on YOUR website!1. Rationalize the denominator and simplify the expression below.
4/(2-squar(5))
---
Multiply numerator and denominator by 2+sqrt(5) to get:
[4(2+sqrt(5)]/[4-5]
= -(8+4sqrt(5))
=======================================================
2. Simplify the equation y= 2^3 squar 8x-24 and describe the graph of the function using a translation. (the 8x - 24 is under a square root)
---
y = 8*sqrt(8x-24)
y = 8*2sqrt(2x-6)
y = 16*sqrt(2(x-3))
-------------------------
Basic graph y = sqrt(x)
Shift 3 to the right because of (x-3)
Compress the width of the curve because of the 2
Multiply all y-values by 16
====================================
Cheers,
Stan H.
=============================
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Rational-functions/310626: I think this is the right spot to ask these two questions.
1. When x = 5 and y = 3, z = 30. Which of the following functions models the relationship below?
z varies inversely with the product xy
a. z = 2xy
b. z = 450xy
c. z = 2/xy
d. z = 450/xy
2. When x = 4 and y = 2, z = 32. Which of the following functions models the relationship below?
z varies directly with the square of x and inversely with y
a. z = x^2y
b. z = 16x/y
c. z = 4x^2/y
d. z = 16x^2/y
1 solutions
Answer 222115 by stanbon(57219) on 2010-06-02 09:01:28 (Show Source):
You can put this solution on YOUR website!1. When x = 5 and y = 3, z = 30. Which of the following functions models the relationship below?
z varies inversely with the product xy
---
z = k/(xy)
Find "k":
30 = k/(15)
k = 450
---
Equation: z = 450/(xy)
a. z = 2xy
b. z = 450xy
c. z = 2/xy
d. z = 450/xy
========================
2. When x = 4 and y = 2, z = 32. Which of the following functions models the relationship below?
z varies directly with the square of x and inversely with y
z = kx^2/y
Solve for "k":
32 = k*16/2
k = 4
Equation:
z = 4x^2/y
---
a. z = x^2y
b. z = 16x/y
c. z = 4x^2/y
d. z = 16x^2/y
====================
cheers,
Stan H.
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Trigonometry-basics/310628: if Theta is an angle between 0 degrees and 90 degrees such that sin=3/5, how much is sec?
1 solutions
Answer 222112 by stanbon(57219) on 2010-06-02 08:54:06 (Show Source):
You can put this solution on YOUR website!if Theta is an angle between 0 degrees and 90 degrees such that sin=3/5, how much is sec?
----------------
sin = y/r
---
If sin = 3/5, y = 3 and r = 5
---
Then x = sqrt(r^2-y^2) = sqrt(25-9) = 4
---
sec = r/x
So, sec = 5/4
======================
Cheers,
Stan H.
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