Questions on Word Problems: Geometry answered by real tutors!

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Question 151781: a. The measure of angle CBD is 10 less than twice the measure of angle ABD. If D is in the interior of angle ABC and the measure of angle ABC is 80, what is the measure of angle CBD?
Click here to see answer by jojo14344(1512)

Question 152016: A cube of white chalk is painted red and cut parallel to a pair of parallel size to form two rectangular solid of equal volume. What percentage of the surface area of each of the new solid is not painted red.

Click here to see answer by jojo14344(1512)

Question 152092: Hi,
How would I solve the following: Linear Equations and their Solutions
Find f(1) for f(x) = 4x3 - 3x2 - x + 2
Thank you,
Sally
Click here to see answer by nerdybill(7008)

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(900)

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(7569)

Question 152169: Hi,
I need help with the following. What degree of polynomial is the following:
(68)1y^1

Thank you,
J.
Click here to see answer by edjones(7569)

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(7008)

Question 152234: A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
Click here to see answer by nerdybill(7008)

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(1512)

Question 152325: A photo is 3 inches longer than it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. Wat are the dimensions of the photo.
Click here to see answer by jojo14344(1512)

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 151166: if angle A is a right angle and the measure of angle C=3x and measure of angle ABC=2x, find the measure of each interior angle and what is the value of x?
Click here to see answer by orca(409)

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 152448: The width of a rectangle is 2/3 of its length. Find its length if the perimeter is 80 cm. Find the dimensions.

Click here to see answer by jojo14344(1512)

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(13828)

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(15746)

Question 152833: Hello,
I stuck I have the following quadratic equations but I having trouble trying to figure it out.
If x = 1 and x = -8, then form a quadratic equation.
Thank you so much for your help.
Jimmy
Click here to see answer by Fombitz(13828)

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(57967)

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(12569)

Question 153308: Hello,
I need help with the following:
Plot the graphs of the following functions.
1. f(x)=7x
Thank you for your help.
Sally
Click here to see answer by mangopeeler07(462)

Question 153317: Hello,
How would I graph the following:
Plot the graphs of the following functions. Scan the graphs and post them to the Facilitator along with your response.
3. f(x)=(1/5)^x
Thank you,
Jimmy
Click here to see answer by Fombitz(13828)

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(2825)

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 153778: the second angle of a triangle is 30 degrees less than the first angle. the third angle is twice the second angle. how large are the angles?
please and thank you
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(12569)

Question 153557: The length of a rectangle is 9 centimeters more than half the width. Find the length if they perimeter is 60 centimeters.
Click here to see answer by orca(409)

Question 154298: The length of a rectangle is 5 less than thrice its width. Find the dimensions if the area is 112 squared cm.
Click here to see answer by jojo14344(1512)

Question 154298: The length of a rectangle is 5 less than thrice its width. Find the dimensions if the area is 112 squared cm.
Click here to see answer by Alan3354(31528)

Question 154567: Hi,
How would I graph the following?
g(x) = log2(x)
I wanted to post my graph of this log but I could not post it so someone could look at it.
Could you please show me how it suppose to look.
I am sorry, for the trouble.
J
Click here to see answer by oscargut(900)

Question 155217: I need a little help with the following:
How many 2-inch square blocks can fit inside a rectaingle that is 10in. high by 20in long?
Click here to see answer by jojo14344(1512)

Question 154681: 1. A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?
Click here to see answer by jojo14344(1512)

Question 155370: This is an extra credit question for my Honors Geometry Class-- I am in 8th grade
If a coin is flipped 4 times, find P (exactly 3 heads).
I do not know what my teacher is looking for- PLEASE HELP
THIS IS NOT A TEXTBOOK QUESTION!
Click here to see answer by stanbon(57967)

Question 155392: If a coin is flipped 4 times, find P (exactly 3 heads).
My answer was 4/16 or 1/4 probability,
is is correct?
Click here to see answer by stanbon(57967)

Question 155408: A shipping crate is to be constructed with its length six times the size of its width, and its height one-third the size of its length. The volume of the box must be 6144 cubic inches. Find the dimensions of the box.

thanks.
Click here to see answer by checkley77(12569)

Question 155475: The measure of a supplement of an angle is 12 degrees greater then 3 times the measure of a complement. Find the measure of the angle.
Click here to see answer by jojo14344(1512)

Question 155485: A rectangle is cut from the corner of a 10-inch by 10-inch of paper. The area of the remaining piece of paper is 4/5 of the area of the origianl peice of paper. If the width of the rectangle removed from the paper is 4 inches, what is the length of the rectangle?

Click here to see answer by Earlsdon(6294)

Question 155819: A candy company makes the popular Dandy Bar. The rectangular shaped bar is 10 centimeters long, 5 cm wide, and 2 cm thick. Because of increasing costs, the company has decided to cut the volume of the bar by a drastic 28%. The thickness will be the same, but the length and width will be reduced by equal amounts. What will be the length and width of the new bar?
Click here to see answer by nerdybill(7008)

Question 155818: For security reasons a company will enclose a rectangular area of 11200ft^2 in the rear of its plant. One side will be bounded by the building and the other three sides by fencing. If 300 ft of fencing will be used, what will be the dimensions of the rectangular area?

Click here to see answer by nerdybill(7008)

Question 155862: From a lighthouse L an aircraft carrier A is 15km away on a bearing of 112 degrees and a submarine S is 26 km away on a bearing of 200 degrees. Find
a) the distance between A and S
b) the bearing of A from S
Please I need desperate help...its due later today!!!!
Click here to see answer by Alan3354(31528)

Question 155859: The acid test ratio of a business is the ratio of its liquid assets-cash and securities plus accounts receivable- to its current liabilities. The minimum acid test ratio for a financially healthy company is around 1.0, but the standard varies somewhat from industry to industry, If a company has 450k in cash and securities and has 398,000 in current liabilities how much does it need to be carrying as accounts receivables in order to keep its acid test ratio at or above 1.3?
Click here to see answer by Earlsdon(6294)

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