Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 151683: Can anyone seem to help me with this problem? I have come to a complete blank on it.
Question 64
Address book
The perimeter of the cover of an address book is 14 inches, and the diagonal measures 5 inches. What are the length and width of the cover?
x^2 + x^2 = 5^2
x^4 = 25
x^4 - 25 = 14
I do not know what to do next. I followed the Pythagorean steps, but cannot figure out what has gone wrong.
Thanks.
Amanda
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 151693: Hi,
I need help. I want to thank your for your assistance. Here the problem
Simplfy: 9x2^ + xy - 3y^) - (6x^ - 4y^ + 8xy)
I got this I don't know if it is right or not:
Answer Simplified expression: -7xy + 3xAnswer Simplified expression: -7xy + 3x2 + 1y2 + 1y2
Click here to see answer by jim_thompson5910(35256) |
Question 151713: I need help with the following:
Classify the given numbers as real and rational, real and irrational, or complex
a. (4)1/2 + 2
b. 6+0i
c. 30007.413
d. 3i
e. 2-(-9)½ i
f. (80)1/5
g. 1
h. (16)1/4
Thank you so much for your help.
Click here to see answer by vleith(2983) |
Question 151707: Tom's Uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The 2nd longest side is 2 yards shorter than the longest side. What is the length of each side?
Click here to see answer by checkley77(12844) |
Question 151789: Hi,
I need help with the following:
Translate the following into a system of equations, then solve it:A customer walks into an electronics store and buys five MP3 players and eight sets of headphones, paying $840. A second customer buys three MP3 players and four sets of headphones, and pays $480. How much does an MP3 player cost? How much does a set of headphones cost?
Click here to see answer by jojo14344(1513) |
Question 151790: Hi,
I need help with the following: I did the work just want to make sure its right
.Explain how to apply elimination in solving a system of equations.
To solve a system of linear equation by elimination process
1)Bring the co-efficient of any one variable to the same .
2) If the signs of both variable are same (having the same co-efficient) then subtract the two equation's.
a. Explain how to apply substitution in solving a system of equations.
3)If the signs are different then add the two equation’s so that like terms get eliminated.
4)The value of one variable is calculated
5)By substituting the value of known variable unknown variable can be found.
a. Demonstrate each technique in solving the system
3x + 9y = 12
5x - 4y = 3
Solution: 1. 3x + 9y = 12
2. 5x - 4y = 3
1)L.C.M of 3,5 = 15 hence bring the co-efficient of x to 15
multiply equations(1) by 5 , and equations(2) by 3. The two equations
reduces to 15x+45y = 60
15x-12y = 9
2) subtract the two equations we get 57y = 51 , y = 51/57
3) substituting the value of y in equations
(1) we get
3x+9(51/57) = 12
3x = 12- (459/57) = 684-459/57 = 225/57
x = 225/57*3 = 75/57
solution is x = 75/57 and y = 51/57
Thank you for your help.
S
Click here to see answer by vleith(2983) |
Question 152094: Hi, I need help how would I find the degree of one. From the given polynomials, identify the polynomials of degree one
b. (11y2)1/2 + 14
c. 10 + (19)1/2x
d. 2 + 15x
e. 52y4 + 7x + 2
f. (68)1y1
g. x3 + 3x – 9
h. (2x)1/2 + 4x - 8
Click here to see answer by oscargut(2103)  |
Question 152184: Hi
How would I determine the degree of the following polynomial:
(68)1y^1
I solve the following can you tell me if it right I have been out of school for 15years and I not sure of these problems:
vi. A function gives the value of C as 2 × (22/7) × r. Find C when r = 21 cm and r = 84 cm.
First I plug in 21 for r:
C = 2 × (22/7) × 21
C = 132 cm
And plug in 84:
C = 2 × (22/7) × 84
C = 528 cm
Thank you for your Help
Click here to see answer by edjones(8007)  |
Question 152181: Hi,
How would I figure the following:Ratio and Proportion
A lawyer bills her clients $200 per hour of service. If a client's case requires 39 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).
Thank you for taking the time out of your day to help me.
Marty
Click here to see answer by nerdybill(7384)  |
Question 152166: Hi,
I need help with the following could someone please help me.
How would I solve the following:
A function gives the value of C as 2 × (22/7) × r. Find C when r = 21 cm and r = 84 cm.
Thank you for your help.
J.
Click here to see answer by jojo14344(1513) |
Question 152354: Hi,
Can someone please review the following, I did the work I just want to make sure it correct before I submit it.
Thank you for your help.
From the given polynomials, identify the polynomials of degree one.
a. 311y - 5 - 43y Since degree is based on the power of the largest variable (or is degree 0 if everything is constants). You have an expression that contains y to a power of 1. So the degree is 1
b. (11y2)1/2 + 14 ( This is a degree 2)
c. 10 + (19)1/2x (This is not a polynomial)
d. 2 + 15x ( This is a degree 1 polynomial)
e. 52y4 + 7x + 2 ( This is not a polynomial)
f. (68)1y1 (This is a degree 1 polynomial)
g. x3 + 3x – 9 ( This is a degree 3 )
h. (2x)1/2 + 4x – 8 (This is a degree 1)
Solve the following:
1. -2x = 3x + 4
-2x = 3x + 4
5x=4 --------> -5*x/5 = 4/(-5)
= -4
5
2. 3x/4 = 6
3x=6*4 , cross multiply:
3x=24 --------> 3*x= 24*8/3 eliminate 3 and 24
x=8
3. y/6 + 1 = 9
y/6 + 1 = 9
y+6/6=9, cross multiply,
y+6=54
y=54-6
y= 48
6 = -2x/4 , cross multiply,
24= -2x -------> 24 * 12/-2 = -2*x/-2 eliminate like terms 24,-2,-2,-2
x= -12
4. 6 = -2x/4
6 = -2x/4
-2x=6*4
-2x=24
x=24/-2
Answer: x=-12
To proof it I did the following:
6=-2*-12/4
6=24/4
6=6
5. Find f(1) for f(x) = 4x3 - 3x2 - x + 2
The problem gives you a "function of x":
f(x) = 4x3 - 3x2 - x + 2
.
Now, to find f(1), it simply asks you to find the value of f(x) when x=1
.
So I , simply substitute in 1 wherever I see the x and solve:
f(x) = 4x^3 - 3x^2 - x + 2
Substituting I get:
f(1) = 4(1)^3 - 3(1)^2 - 1 + 2
f(1) = 4(1) - 3(1) - 1 + 2
f(1) = 4 - 3 - 1 + 2
f(1) = 6 - 4
f(1) = 2 (so f(1)=2)
Answer: f(1)=2
6. A function gives the value of C as 2 × (22/7) × r. Find C when r = 21 cm and r = 84 cm.
plug in 21 for r:
C = 2 × (22/7) × 21
Answer: C = 132 cm
And plug in 84:
C = 2 × (22/7) × 84
Answer: C = 528 cm
Click here to see answer by Earlsdon(6294) |
Question 152386: A, B, C, and D are distinct coplanar points, no 3 of which are collinear. If E is a point not in the plane of A, B, C, and D, how many distinct planes are determined by the 5 points?
a. 4
b. 5
c. 6
d. 7
Which answer is correct and why?
Click here to see answer by Earlsdon(6294) |
Question 152487: Hi,
How would I solve the following: Applications of Linear Equations
Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of $770 in interest. How much was invested at 8%?
Thank you for taking the time to help me.
Sally
Click here to see answer by Earlsdon(6294) |
Question 152485: Hi,
How would I solve the following: Applications of Linear Equations
Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?
Thank you for helping me.
J.
Click here to see answer by scott8148(6628)  |
Question 152521: Hi,
How would I solve the following: Applications of Linear Equations
An express and local train leave Gray’s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.
Thank you so much for your help.
Sally
Click here to see answer by Fombitz(32388)  |
Question 152486: Hi,
How would I solve the following: Applications of Linear Equations
An express and local train leave Gray’s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.
Thank you so much for your help.
K.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 152894: Hello,
Sorry to bother you again but I can seem to grasp the following to put into an equation. It from Practical Application of Quadratic Equations Solve the questions
A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?
Thank you,
Craig
Click here to see answer by scott8148(6628) |
Question 152892: Hello,
I really need help, I tried but I can not get this problem.Practical Application of Quadratic Equations Solve the questions
A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet?
Thank you so much,
Sally
Click here to see answer by scott8148(6628) |
Question 153189: Hello,
How would I solve the following:
The level of thorium in a sample decreases by a factor of one-half every 4.2 million years. A meteorite is discovered to have only 7.6% of its original thorium remaining. How old is the meteorite?
I think this has been answered but I can not find the answer.
Please help me I have tried several time to solve this without any help but I just can seen to solve it.
Thank you,
Jimmy
Click here to see answer by stanbon(75887) |
Question 153310: Hi,
I need help with the following,I tried but I not sure of my graph and I can post it for someone to look at it for me.
Could you please help me with the following:
Plot the graphs of the following functions.
2. f(x)=4x - 3
Gloria
Click here to see answer by checkley77(12844) |
Question 153856: A pole vaulter uses a 15-foot-long-pole.She grips the pole so that the segment below her left hand is twice the lenght of the segment abover her left hand.Her right hand grips the pole 1.5 feet above her left hand.How far up the pole is her right hand?
Click here to see answer by vleith(2983) |
Question 153869: One side of a triangle is four centimeters longer than the shortest side. The third side of the triangle is twice as long as the shortest side. Find the length of all the sides if the perimeter is 40 centimeters.
Click here to see answer by orca(409) |
Question 153997: Can Someone please help me, I tried to solve this but I not sure of my answer:
Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
This is what I got I think it wrong:
3X*X=75
3X^2=75
X^2=75/3
X^2=25
X=SQRT25
X=5 ANSWER FOR THE WIDTH.
3*5=15 ANSWER FOR THE LENGTH.
15*5 = 75
I really need someone help.
Thank you,
J
Click here to see answer by checkley77(12844) |
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