Questions on Geometry: Area and Surface Area answered by real tutors!

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Question 84981: 1.The ratio of the surface area of two pyramids is 9:49. What is the ratio of the volumes?

2.If the hypotenuse in a 30-60-90 triangle is 18, then the length of the short leg is?
a. 12.73
b. 10.39
c. 36
d. 9
Click here to see answer by Nate(3500)

Question 85524: If f'(x) = e^(2x)sin(x) ... what does f(x) equal? Please explain using antiderividants, integration by parts, and algebraic manipulation.
Click here to see answer by Nate(3500)

Question 85525: f(x) = tan^-1(x) ... find the area bounded by [0,pi/4] using any technique
Click here to see answer by Nate(3500)

Question 85526: It says to evaluate: antiderividant of sin(x)^4*cos(x)^3
Click here to see answer by Nate(3500)

Question 86061: A=1/2H (B+6) (FOR B)
Click here to see answer by stanbon(75887)

Question 86090:

The diagram shows the dimensions of a triangular field next to a
school. To estimate the number of wildflowers growing in the field,
students counted a total of 36 flowers in a randomly selected
3-feet-by-4-feet rectangular section. Assuming the section is a
representative sample of the entire field, approximately how many
flowers are in the entire field?

Click here to see answer by jim_thompson5910(35256)

Question 86332: HELP PLEASE!! I AM CONfusED to DEATH. it will be greatley appreciated
One triangle has area 126 and base 12. Find the area of a similar triangle with base 16

area of triangle 1 A1=126 base=b1=12 area of triangle2 = ? if base= b2=16
a1=1/2b1.h1 h1=2a1/b1=2.126/12 = 21 h1=21
area of triangle A2 = 1/2.b2.h2 but h1=h2 (similar triangles)
= 1/2.16.21
=168

Two similar cones have scale factor 5:2. If the total area of the larger cone is 375, find the total area of the smaller cone.

area of acube= l^2 volume of a cube = l^3
A1/A2=40.5/72 =405/720=81/144.L1/L2=9/12
V1/v2=9/12.9/12.9/12= 729/1728.
Two cubes have total areas of 40.5cm squared and 72 cm squared. What is the ratio of their volumes?
Click here to see answer by praseenakos@yahoo.com(507)

Question 86330: can someone please help me, i really need help with these ones. they are confusing me
Find the area:
A square with diagnol 8
diagonal squared = 2.(side)squared
8.8 = 2.(side)squared
32 = (side)squared
side = square root of 32=4.sqrt.2
therefore area of a square= side.side = 4.sqrt2.4.sqrt2=32
area of 45-45-90 triangle with hypotenuse of 2sqrt6
since the angles of the other two sides are equal their corresponding sides are
equal. hence (hypo)sq=(side)sq+(side)sq
(2sqrt6)square = 2.(side)square
4.6/2 = (side)square
12=(side)square side= 2.sqrt3
area of the triangle = 1/2.base.height
= 1/22.sqrt3.2.sqrt3 = 2.3 = 6
area of rhombus = 1/2.product of diagonals
= 1/2.18.15 = 135 .
a hexagon has six equilateral triangles hence area of hexgon = sum of the area
of all the triangles.
area of an equilateral triangle= sqrt3.side square/4=sqrt3.10.10/4=25sqrt3
area of the hexagon = 6.25.sqrt3 = 150.sqrt3.

A 45-45-90 triangle with hyptonenuse of 2 square root of 6
A rhombus with diagonals 18 and 15
A regular hexagon with sides of 10 cm
Click here to see answer by praseenakos@yahoo.com(507)

Question 86707: Find the Area i am needing a little assistance with these problems, i have been tryint to figure them out but i can't seem to get the right answer. can someone please help me
1) A rectangle with perimeter 56 and width 13
2) A regular polygon with 12 sides of legnth s and apothem 2
(Give your answer in terms of s)
3) Two similar cones have scale factor 5:2, If the total area of the larger cone is 375, find the total of the smaller cone
Click here to see answer by stanbon(75887)

Question 86784: MAY I PLEASE GET SOME HELP WITH THESE I REALLY NEED HELP
A regular squre pryramid with slant height 9 and base edge 6
(a)lateral area
(b)the total area
A right cylinder with radius 3 and height 7
(a)lateral area
(b) the total area
Two circles have area of 49pi and 36pi. Find the ratio of their radii.
Click here to see answer by Flake(45)

Question 87317: I'm confused please help!!!!!
1.You have a sprinkler at city park that waters in a circular pattern. It shoots water out 40 feet from it's center and rotates in a circular pattern.
A. How many square feet are under the sprinkler?
B. If it is in the middle of a perfect square, how many acres are in each of the non-irrigated corners of the lawn.
For A. I got 5024 sq ft? Is this right? As for B, I have no idea how to work this out.
Click here to see answer by tutor_paul(519)

Question 87525: Two farmers always plant their mango trees in square arrays.This year they planted 11 more mango trees in their square, how many mango trees are there in the garden this year?
Click here to see answer by Edwin McCravy(20055)

Question 87527: WHAT IS THE PERIMETER OF A TRIANGLE WHICH SIDES MEASURES 6,8, AND 10INCHES.
WHAT WOULD BE THE RADIUS OF A CIRCLE WITH A DIAMETER OF 8 INCHES.
A CUBE MEASURES 3 INCHES ON ALL OF ITS SIDES. WHAT IS IT'S VOLUME IN INCHES.
Click here to see answer by rapaljer(4671)

Question 87522: Two farmers always plant thier mango trees in square arrays.This year they planted 11 more mango trees in thier square,how many mango trees are there in the garden this year?
Click here to see answer by kev82(151)

Question 87520: Two farmers always plant thier mango trees in square arrays.This year they planted 11 more mango trees in thier square,how many mango trees are there in the garden this year?
Click here to see answer by ankor@dixie-net.com(22740)

Question 87582: Find the area of a regular pentagon if its apothem is approximately 6 ft long and each of its sides is 8.7 ft long.
Click here to see answer by SandySharma(35)

Question 87920: A rectangular swimming pool is twice as long as it is wide. A small walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.:
Click here to see answer by SandySharma(35)

Question 88655: The length of a rectangle is 7/8 yd, and its width is 32/49 yd. What is its area in square yards?
Click here to see answer by checkley75(3666)

Question 88969: The perimeter of a rectangular garden is 200 yards. The length is eight yards more than three times the width. Find the lenght of the garden.
Click here to see answer by checkley75(3666)

Question 89254: What is the area of this triangle?
The Bottom: 14 m
Line going vertical down triangle: 6 m
Click here to see answer by checkley75(3666)

Question 89445: The base of a rectangle is twice the side of a square, and the height of the rectangle is two more than the side of the square. The area of the rectangle is 32 square inch units more than the area of the square. Find the dimensions of the rectangle.
Click here to see answer by checkley75(3666)

Question 90369: Suppose you wanted to construct a fence around a garden plot in the form of a rectangle. On the neighbor�s side it�s going to need heavy-duty fencing that costs $2.00 per foot. The other three sides can be made of standard fencing material that costs $1.20 foot. You have $200 to spend.
1. How many different rectangles would it be possible to enclose for $200?
2. Write an equation using two variables for the total cost of the fence. Use x and y to represent the width and length of the rectangle. Solve the equation for one of the variables (either x or y).

3. Given that Area = (x)(y), now write the area function for this problem using ONLY ONE VARIABLE (by making a substitution using the equation from #2).

4. What dimensions will give the maximum area inside the fence?
5. What will be the maximum area?
Click here to see answer by jim_thompson5910(35256)

Question 90523: ok i'm a home owner 50 years old and have forgotten most everything-- that said here is my dilema.my well is 6 inches in diameter-- it is 400 feet deep-- the pump is only 200 feet deep--can you tell me how many gallons of water i gain for every foot i drop the pump i guess it's simpler if i ask what is the volume of water- in gallons - per foot in a 6 inch cylinder? thanks for your help. bill
Click here to see answer by kev82(151)

Question 91325: hi, i would like to know the area of a regular heptagon who's perimeter is 1000m.
can you please help me and answer this question.
thanks
bye!
Click here to see answer by stanbon(75887)

Question 91310: The length of a rectangle is 1 cm more than 5 times its width. If the area of the rectangle is 89 cm2, find the dimensions of the rectangle to the nearest thousandth.
I wonder if this is somewhat on track? I have been baffled for the past three hours,on this equation.
(1+2x)(5+2x)=89
3+-the square root of 93/2
the square root of 93 divided by 2=9.64divided by 2=4.862182 plus three=7.82182
and 4.862182-3=1.82182
Click here to see answer by tutor_paul(519)

Question 91516: hi, i need to find the area of an oval whose perimeter is 1000m, i know that you need to times the length and width of teh oval but i don't even know that, i just know its perimeter. so please try to help me.
thanks!
Click here to see answer by stanbon(75887)

Question 81972: Find the surface area and volume of a cylinder with the given dimensions. Round to the nearest tenth.
1.) r= 6.5 m, h= 15 m
2.) d= 8.7 in, h= 7.3 in

Click here to see answer by zerosignal(28)

Question 81969: Find the area of each circle. Round to the nearest unit.
1.) r= 6.2 inches
2.) d= 15 meters
3.) r= 3.8 feet
Thank you
Click here to see answer by zerosignal(28)

Question 81968: Find the circumference of each circle. Round to the nearest unit.
1.) d= 25 meters
2.) r= 8.2 feet
3.) d= 26 yards
Thank you
Click here to see answer by zerosignal(28)

Question 79789: I need to find the surface area of a right circular cylinder the height is 5 inches and the radius is 2 inches.
Click here to see answer by zerosignal(28)

Question 75128: Information a bowling ball is approximately 8.59 inches in diameter
How much surface does a bowling ball habe? (ignore the finger holes) How much material does it takes to make a bowling ball?
Click here to see answer by zerosignal(28)

Question 75127: What calculator sequence will yield the volume of a sphere with radius?
and Find the volume of the sphere?
Click here to see answer by zerosignal(28)

Question 69356: how do you calculate the surface area of a cone with height of 18 ft and r of 10 ft
Click here to see answer by zerosignal(28)

Question 72064: Hey,
I need help finding the surface area of a cone with a radius of 3ft and a slant height of 7ft.

thanks
Click here to see answer by zerosignal(28)

Question 71480: Hello,
I need help finding the surface area of a cone with a radius of 3ft and a slant height of 7ft.
Thank you

Click here to see answer by zerosignal(28)

Question 92311: I am confused by this question The area of a rectangle of length x is given by Find the width of the rectangle.
I would like to see how you solve the problem so that I may understand for future reference.
Click here to see answer by jim_thompson5910(35256)

Question 92418: a 7m long pool is surrounded by a path 2m wide at the sides and 3m wide at the ends. if the area of the path is 70 square meters, the the value of x is?

Click here to see answer by Feliz(4)

Question 92506: A closed tube is 10 inches long with a radius of 5 inches
find its surface area
find its volume
Click here to see answer by ankor@dixie-net.com(22740)

Question 92915: If the area of a circle is 49pi, what is the circumference. I got 22cm
Click here to see answer by psbhowmick(878)

Question 92987: HOW DO YOU FIND THE ALTITUDE OF A TRIANGLE THAT HAS A BASE OF 7 INCHES AND A SURFACE AREA OF 21 SGUARE INCHES?
Click here to see answer by ankor@dixie-net.com(22740)

Question 93161: problem, a garden area is 30ft long and 20ft wide. a path of uniform width is set around the edge. If the reamianing garden area is 400 ft^2, what is the width of the path. I know the total sq ft is 600 and the remaining is 200 sq ft but not sure how to go about getting answer. We have been working on the quadratic formula this week so i'm sure I am to solve the problem in that form, but now sure how, can someone help, Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 93315: Can you please help me with this problem? The exterior of a spherical water tank is to be painted. The radius of the tank is 15 feet. How many square feet will need to be painted? I got 2826ft^ the first time but I don't know if I used the correct formula. Thank you in advance!!!
Click here to see answer by Earlsdon(6294)

Question 93490: The perimeter of the yard is 130 feet. If the length is 10 less than 2 times the width, what are the dimensions? Show all work.
Thanks alot !
Click here to see answer by checkley75(3666)

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