Questions on Geometry: Geometric formulas answered by real tutors!

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Question 67682: Mugabee thought he was rich because he was paid $240 for a 40-hour week. The next week he received a 20 percent hourly raise, and in addition, he was allowed to work 60 hours. He really celebrated when he saw his paycheck. How much did he get paid?
Click here to see answer by rajagopalan(158)

Question 67684: The nurse was aghast. He knew that G gallons of milk would feed S infants for 11 days, but he had S + 14 infants to feed. How many days would K gallons of milk last?
Click here to see answer by ptaylor(2048)

Question 67679: The latitude of Wilson, Wyoming, is 43.6 degrees north of the equator. If the diameter of the earth is 7920 miles, how far is Wilson from the equator?
Click here to see answer by ankor@dixie-net.com(15639)

Question 68312: Flying Disc. A plastic flyiing disc is circular and has a circular hole in the middle. If the diameter of the outer edge of the ring is 13 inches and the diameter of the inner edge of the ring is 10 inches, what's the area of plastic in the ring? Use 3.14.
Click here to see answer by ptaylor(2048)

Question 68482: If you have a square that is 6ft by 6ft and want to make it a triangle with the same square footage, what would it be and how?
Click here to see answer by Edwin McCravy(8883)

Question 68603: If you have a square that is 6 ft on each side and you want to make a triangle with the same sq. footage, how would you and what would be the length of each side. ( length of diagonal line)
Click here to see answer by wgomero(28)

Question 68906: Geometry. If the sides of a square are decreased by 2cmm the area is
decreased by 36cm^2. What were the dimensions of the original square?''.

Click here to see answer by ptaylor(2048)

Question 68982: Please help me solve this equation: 10x-22=(8x+8)^2
I need to solve for x.
Click here to see answer by checkley75(3666)

Question 67685: Let M=B^a and N=B^c. Show why log(base b)MN = log(base b)M + log(base b)N.
Click here to see answer by stanbon(57251)

Question 69157: 3) Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27… to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Show work in this space.

b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments.
Answer:
Show work in this space.

c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Carry all calculations to 6 decimals on all assignments.
Answer:
Show work in this space.

d) What observation can make about the successive partial sums of this series? In particular, what whole number does it appear that the sum will always be smaller than?
Answer:

Click here to see answer by jim_thompson5910(28509)

Question 69234: Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally.
Click here to see answer by Nate(3500)

Question 69247: I have some answers but im not sure if they are right. I need this by tonight, can you please help me?
1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10… to find the following:
a) What is d, the difference between any 2 terms?
Answer:
Show work in this space.

b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.

c) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms?
Answer: 430
Show work in this space.
You would add

d) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms?
Answer: 960
Show work in this space.

e) What observation can you make about the successive partial sums of this sequence (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)?
Answer:

Click here to see answer by jim_thompson5910(28509)

Question 69324: Find the next term in the sequence
1/2, -4, 32........
Click here to see answer by checkley75(3666)

Question 69588: Give a number that is a counter example to conjecture below. Explain your answer choice.
All numbers that end in the digit 3 are prime.
Click here to see answer by bucky(2189)

Question 69579: Please help to identify the hypothesis and conclusion of the following statement:
If you get a's on all your geometry tests, then everyone will want to sit near you in class.
Click here to see answer by bucky(2189)

Question 69905: the perimeter of a rectangle is 64cm.the length is 4 cm. less than twice the width.find the length and the width.
Click here to see answer by ankor@dixie-net.com(15639)

Question 70181: 1. If $4000 is deposited into an account paying 3% interest compounded annually and at the same time $2000 is deposited into an account paying 5% interest compounded annually, after how long will the two accounts have the same balance? Round to the nearest year and show all work.
2. Would you prefer that your salary be modeled exponentially or logarithmically? Explain your answer
3. If the half-life of a radioactive substance is 45 minutes and you originally have 2500 grams of the substance, how much will be left after 3 hours? Explain how to determine the amount without using the exponential model.

Click here to see answer by stanbon(57251)

Question 70448: Given the following points, find the slope of the line through these points. (-3,0) and (2,-1)
Click here to see answer by checkley75(3666)

Question 70455: Find the slope of a line perpendicular to the line passing through the points
(-1,4) and (8,1)
Click here to see answer by checkley75(3666)

Question 70451: FInd the slope of the line parallel to the line passing through the points (-4,0) and (1,-5)
Click here to see answer by checkley75(3666)

Question 70450: Given the following points, find the slope of the line through these points. (5,-1) and (3,0).
Click here to see answer by piglet162431(90)

Question 71295: Some one please help
Determine the vertex of y = x^2 -8x +22
Please show how you do this
Thank you
Click here to see answer by funmath(2925)

Question 71692: can you please assist me solving the problem...instructions...
a triangle has sides 3x + 7, 4x - 9, and 5x + 6. find the polynomial that represents its perimeter.
Click here to see answer by bucky(2189)

Question 71731: What is the area of a triangle with a base of 3.34 centimeters and a height of 7.23 cent .Round to the nearest tenth.
What is the volume of a rectangular solid with dimensions of 3.6 cm, 2.7 cm and 11.4 cm. Round to the nearest hundredth.

Thanks
Click here to see answer by funmath(2925)

Question 71790: write 10,000 as 10 raised to a power.
Click here to see answer by stanbon(57251)

Question 71787: Another little car went by at a speed of 40 kilometers per hour. What was the angular velocity of its wheels in radians per second if the diameter of it's wheels was 10 centimeters?
Click here to see answer by stanbon(57251)

Question 72205: Find the missing geometric sequence 15, __ , 81,...
Show work

Find the missing geometric sequence 36, __ , 100, ...
Show work
Click here to see answer by pradhyumna.kumar@gmail.com(62)

Question 72205: Find the missing geometric sequence 15, __ , 81,...
Show work

Find the missing geometric sequence 36, __ , 100, ...
Show work
Click here to see answer by stanbon(57251)

Question 72608: Geometry. If the sides of a square are decreased by 2cmm the area is decreased by 36cm^2. What were the dimensions of the original square?:
I did not see how this was solved???
Click here to see answer by bucky(2189)

Question 72833: EXPRESS 10/3 - 5/2 AS A SIMPLIFIED RATIONAL NUMBER.
Click here to see answer by jim_thompson5910(28509)

Question 72835: THE VOLUME OF A CYLINDRICAL TANK IS GIVEN BY THE FORMULA V=pie h r^2 WHERE h IS THE HEIGHT OF THE CYLINDER AND r IS ITS RADIUS. FIND THE VOLUME TO THE NEAREST TENTH OF A CUBIC FOOT OF A CYLINDRICAL TANK THAT HAS A RADIUS OF 3 FEET AND A HEIGHT OF 5 FEET.
Click here to see answer by checkley75(3666)

Question 72861: Alright, here is my problem. How do you develop a formula for perimeter for a raectangle that has a width of and ?
Click here to see answer by jmg(22)

Question 72861: Alright, here is my problem. How do you develop a formula for perimeter for a raectangle that has a width of and ?
Click here to see answer by ankor@dixie-net.com(15639)

Question 74086: Hi, could you help me with this problem please?
Find the geometric mean between 2sqrt2 and 6sqrt6.
I don't know how to solve this problem.
Thank you!
Click here to see answer by stanbon(57251)

Question 74248: 3) Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8,…to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Show work in this space.

b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Please round your answer to 4 decimals.
Answer:
Show work in this space.

c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Please round your answer to 4 decimals.
Answer:
Show work in this space.

d) What observation can make about these sums? In particular, what whole number does it appear that the sum will always be smaller than?
Answer:

Click here to see answer by jim_thompson5910(28509)

Question 74247: 2) Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Show work in this space.

b) Using the formula for the nth term of a geometric sequence, what is the 24th term?
Answer:
Show work in this space.

c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Answer:
Show work in this space

Click here to see answer by jim_thompson5910(28509)

Question 74452: Diameter AB of circle o is 21 inches. Line AB is extended through B to a point C and tangent CD is drawn, meeting the circle at D. CD is 6 inches longer than BC.
a) Let x represent BC. Express CD and CA in terms of x.
B) Find BC
Click here to see answer by scott8148(6628)

Question 74675: What is the equation of a horizontal line that passes through the point at (-2,-3)?
I have been working on this problem and I still do not understand it. May some one please help me? Thank you

Click here to see answer by Earlsdon(6287)

Question 74894: if u enlarge a photo print to bring the shorter side from 1/2 inches to 3 inches, the longer side would go from 3/4 inches to how many centimeters?
Click here to see answer by bucky(2189)

Question 75019: Find the equation of the parabola whose focus is (2,3) and directrix is x=12.
Click here to see answer by Edwin McCravy(8883)

Question 75929: A rectangle is 6 meters longer than it is wide. The area fo the rectangle is 315 sqaure meters. Find the length.
Click here to see answer by checkley75(3666)

Question 75929: A rectangle is 6 meters longer than it is wide. The area fo the rectangle is 315 sqaure meters. Find the length.
Click here to see answer by Kari(1)

Question 75901: Find an equation in x and y for the conic section with polar equation
r = 1/ 1+ cos(theta)
Click here to see answer by stanbon(57251)

Question 75980: if the perimeter of a rectangle is 108 inches, and its lenght is 3 1/4 feet, find it width.
Click here to see answer by tutorcecilia(2152)

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