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Tutors Answer Your Questions about Geometric formulas (FREE)
Question 241362: Find the sum of the vectors. vector u is (4,7) and vector m (8,17). Please help.
Answer by 10021987(2)   (Show Source):
You can put this solution on YOUR website!Well, first you have to add vector u which is (4,7) and 4+7=11 and then you have to add vector m which is (8,17) and 8+17=25 then you have to add 11+25 together and then when you add them together then you will get 11+25=36 because the word sum means to add. My pleasure to help you hope the answer is correct.
Question 241114: Solve the proportion x-2/4=x+4/2
Answer by unlockmath(117)  (Show Source):
You can put this solution on YOUR website!Hello,
The fastest way is cross multiply so it looks like this:
2(x-2)=4(x+4) Now distribute to look like this:
2x-4=4x+16 Add 4 to both sides and subtract 4x from both sides will give us:
-2x=20 Divide by -2
x=-10 Now let's put this into the original proportion and is should work out fine.
RJ Toftness
www.math-unlock.com
Question 238159: The volume of a box is 32m^3, to reduce cost the box is to have minimum surface area. It is a square box with no top. What dimensions(height, length, width) should the box have?
Answer by ankor@dixie-net.com(6693)  (Show Source):
You can put this solution on YOUR website!The volume of a box is 32m^3, to reduce cost the box is to have minimum surface area. It is a square box with no top.
What dimensions(height, length, width) should the box have?
:
If it is square, they would all dimensions have to be the same, right?
:
Let x = the sides and height of the square box
:
x^3 = 32
x = 
x ~ 3.1748 meters
:
If just the bottom is square, the height can be determined for minimum surface area. If that is what you mean, let me know and we can calculate that.
Question 238005: 4. ABCD is a rectangle. Find mB.
A. 45°
B. 90°
C. 100°
D. 180°
5. ABCD is a rectangle. AD = 3 and AB = 10. Find CD.
A. 3
B. 6
C. 10
D. 20
6. ABCD is a rectangle. AC = 12. Find BE.
A. 6
B. 8
C. 10
D. 12
7. Find the value of x so that ABCD is a rectangle, if AD = 5x – 6 and BC = 3x + 4.
A. 3
B. 4
C. 5
D. 6
Answer by jsmallt9(594) (Show Source):
You can put this solution on YOUR website!4. ABCD is a rectangle. Find mB.
All the angles of every rectangle are 90 degrees.
5. ABCD is a rectangle. AD = 3 and AB = 10. Find CD.
AD and AB are the length and width of the rectangle. CD is the side opposite to AB. Opposite sides of all rectangles are congruent so AB = CD = 10.
6. ABCD is a rectangle. AC = 12. Find BE.
BE? I think this is BD. If so, AC and BD are diagonals of the rectangle. Since the two diagonals of every rectangle are congruent, AC = BD = 12
7. Find the value of x so that ABCD is a rectangle, if AD = 5x - 6 and BC = 3x + 4.
This problem is incomplete. There is no way to solve it with the given information. Either you have left something out or the problem is invalid.
However, we can find the value of x that makes AD = BC. This would make opposite sides equal which must be true if ABCD is a rectangle.
To find an x that makes the opposite sides equal:
Now we solve this. Subtract 3x from each side:
Add 6 to each side:
Divide both sides by 2:
So the only value for x that makes the opposite sides AD and BC equal is 5. If x is any other number ABCD cannot be a rectangle. But if x is 5, then ABCD could be but does not have to be a rectangle. (ABCD could also be a parallelogram or an isosceles trapezoid if x = 5.)
In order to show that a quadrilateral is a rectangle we must show, directly or indirectly, that it is a parallelogram with 4 right angles. This cannot be done with the information you provided, regardless of the value(s) of x.
Question 237562: a-=p+prt, for p
Answer by checkley77(7070) (Show Source):
Question 237563: s=n/2(a+1), for a
Answer by checkley77(7070) (Show Source):
Question 237564: s=2πr(r+h), for h
Answer by checkley77(7070) (Show Source):
Question 237565: m-g/t=r+s, for t
Answer by checkley77(7070) (Show Source):
Question 237567: f=gm-t/m, for g
Answer by checkley77(7070) (Show Source):
Question 237568: f=gm-t/m, for g
Answer by checkley77(7070) (Show Source):
Question 237572: s=a+2b/3b. for b
Answer by checkley77(7070) (Show Source):
You can put this solution on YOUR website!s=a+2b/3b. for b
s=a+2/3 no b to solve.
------------------------------
UNLESS you mean:
s=(a+2b)/3b
3bs=a+2b
3bs-2b=a
b(3s-2)=a
b=a/(3s-2) ans.
Question 237596: s=2πr(r+h), for h
Answer by nyc_function(260)  (Show Source):
Question 237598: r=v2pL/a, for p
Answer by nyc_function(260) (Show Source):
You can put this solution on YOUR website!I assume that you meant to type r = (v^2pL)/a and we need to solve for p.
Multiply both sides by a.
ar = v^2pL
Next divide both sides by v^2L.
ar/(v^2L) = p
We can also write the answer as ra/(v^2L) = p.
Either is correct.
Question 237570: a/c=n=bn, for n
Answer by nyc_function(260) (Show Source):
Question 237569: c=5/9(f-32), for f
Answer by nyc_function(260) (Show Source):
You can put this solution on YOUR website!Given c = 5/9(f-32), solve for f.
c=5/9(f-32) can also be written as c = 5(f - 32)/9.
Multiply each side by 9.
That gives us 9c = 5(f - 32).
Apply distributive rule on the right side.
9c = 5f - 160
Add 160 to the left side.
9c + 160 = 5f
Lastly, divide both sides 5.
(9c + 160)/5 = f
Question 237561: s=1/2gt2 ,for g
Answer by jim_thompson5910(13794) (Show Source):
Question 235904: the 7th term is 21 and the 10th term is 34, find the 25th term
Answer by stanbon(26285) (Show Source):
Question 234695: please explain how i would do this problem the directions are find the unknown dimension. A triangle has an area of 5 square meters and a base of 2x. what is the height of the triangle in the terms of x. also what does in the terms of x mean
Answer by solver91311(5072)  (Show Source):
Question 234629: M(-6,2) is the midpoint of line RS. If S has coordinates (0,7), find the coordinates of R.
Answer by rfer(2688) (Show Source):
Question 234482: a circular island of diameter 100 yards is surrounded by a concentric circular moat whose area equals that of the island .which of the following best approximates the width of the moat ?
a) 20 yards b) 30 yards c) 50 yards d)70 yards e) 100 yards
Answer by checkley77(7070) (Show Source):
You can put this solution on YOUR website!Area=pir^2=3.14*(100/2)^2=3.14*50^2=3.14*2,500=7,850 yds.^2
2*7,850=pir^2
15,700=3.14*r^2
r*2=15,700/3.14
r^2=5,000
x=sqrt5,000
x=70.71 yds. is the total radius of the island & the moat.
Width of the moat=50+x=70.71=20.71 yds. is the width of the moat.
Answer A)
Question 233844: The wheels of a car have radius 15 in, and are rotating at 800 rpm. Find the speed of the car in mi/h
Found 2 solutions by Alan3354, checkley77:
Answer by Alan3354(6092)  (Show Source):
You can put this solution on YOUR website!The wheels of a car have radius 15 in, and are rotating at 800 rpm. Find the speed of the car in mi/h
-------------------
The car moves 1 circumference per revolution
C = 2*15*pi = 30pi inches per rev
@ 800 rpm, that's 24000pi inches/minute
= 2000pi ft/minute
= 120,000pi ft/hour
= 120,000pi/5280 mph
= 71.4 mph
Answer by checkley77(7070) (Show Source):
You can put this solution on YOUR website!C=2PIR
C=2*3.14*15
C=6.28*15
C=94.2 INCHES PER ROTATION.
94.2*800=75,360 IN/MIN.
75,360/12=6,280 FT/MIN.
6,280*60=376,800 FT/HR.
376,800/5280=71.36 MPH ANS.
Question 233842: Find the exact value of tan(7pi/12)
Answer by checkley77(7070) (Show Source):
Question 232854: what would the answer be for 
Answer by eggsarecool(32) (Show Source):
You can put this solution on YOUR website!Ok so we have What you can do in algebra is flip both sides of an equation. So  will become  and  which is really  will become 
So now we have.
 Now you divide both sides by two. Dividing a fraction can be confusing so you can multiply by  instead of dividing by 2.
Giving us.
Question 230466: Find the length of the segment with endpoints J(0,3) and M(4,6).
Answer by texttutoring(36)  (Show Source):
Question 230288: A 9-by-12 rectangular picture is framed by a border of uniform width. Given that the combined area of picture plus frame is 180 square units, find the width of the border
Answer by checkley77(7070) (Show Source):
You can put this solution on YOUR website!LET X BE THE BORDER WIDTH.
(9+2X)(12+2X)=180
108+24X+18X+4X^2=180
4X^2+42X+108-180=0
4X^2+42-72=0
(2X-3)(2X+24)=0
2X=3
X=3/2
X=1.5 ANS.
PROOF:
(9+2*1.5)(12+2*1.5)=180
(9+3)(12+3)=180
12*15=180
180=180
Question 229601: Find the volume of a cylinder whose radius is (k+7) inches and whose height is (2k) inches.
Answer by solver91311(5072) (Show Source):
Question 228467: the part of (blank) that has a beginning point and ending point is a line segment.
so like what would be the blank word?
Found 2 solutions by stanbon, rapaljer:
Answer by stanbon(26285) (Show Source):
Answer by rapaljer(3622) (Show Source):
You can put this solution on YOUR website!I think the answer is a "ray", but I'm not sure. If you want to re-post this question for a second opinion, it might be a good idea.
Dr. Robert J. Rapalje, Retired
Question 228343: I need assistance with the following problem:
Solve and check.
4(x+9) + x(x-1) = x(6+x)
Answer by drj(1380)  (Show Source):
You can put this solution on YOUR website!I need assistance with the following problem:
Solve and check.
Step 1. Multiply to get rid of parenthesis.
Step 2. Rearranging the left side of the equation and combining like terms in x yields
Step 3. Subtract  from both sides of the equation.
Step 4. Subtract 3x from both sides of the equation.
Step 5. Divide by 3 to both sides of the equation
Step 6. Substitute  into original equation
 which is a true statement.
Step 7. ANSWER: The solution is
I hope the above steps were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
Good luck in your studies!
Respectfully,
Dr J
Question 228138: The area of a rectangle is 54 square units. Find the length and the width of the rectangle.
L = x+2 W = x-1
My work so far leads to me find that this unable to be factored to solve for x
(x+2)(x-1)=54
x2+2x-x-2=54
x2+x-2=54
x2+x-2-54=0
x2+x-56=0
(x-8)(x+7)=0
x=8 x=-7
can't use -7 so omit
x=8
back to original problem/formula
x+2 would read 8+2 = 10
x-1 would read 8-1= 7
IS THIS CORRECT??
Thank you for your help!
Answer by checkley77(7070) (Show Source):
You can put this solution on YOUR website!(x+2)(x-1)=54
x2+2x-x-2=54
x2+x-2=54
x2+x-2-54=0
x2+x-56=0
(x-8)(x+7)=0 here's where you went wrong.
-----------------------------------------
(x-7)(x+8)=0
x-7=0
x=7
L=7+2=9
W=7-1=6
Proof:
9*6=54
---------------------------
x=8 x=-7
can't use -7 so omit
x=8
Question 227704: If the ratio of the edge of two cubes is 2:3. What is the ratio of the volumes?
Found 2 solutions by drj, jsmallt9:
Answer by drj(1380) (Show Source):
You can put this solution on YOUR website!If the ratio of the edge of two cubes is 2:3. What is the ratio of the volumes?
Step 1. Let 2x be the side or edge of cube one where x is a number.
Step 2. Let 3x be the side or edge of cube two since the ratio of the edge of two cubes is 2:3.
Step 3. Volume V1 of a cube one be given as 
Step 4. Volume V2 of a cube two be given as 
Step 5. The ratio of 
Step 6. ANSWER: The ratio of volumes for these two cubes is 8:27.
I hope the above steps were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!
Respectfully,
Dr J
http://www.FreedomUniversity.TV
Answer by jsmallt9(594) (Show Source):
You can put this solution on YOUR website!While we do not know the actual sides of the cubes, we can write variable expressions for them. And as long as the ration of our expressions is 2/3, our expressions will work.
The simplest expressions which have a ratio of 2/3 would be 2x and 3x. Now let's see how the volumes work out.  so the volume of the cube with side 2x would be:  . And the other volume would be:  . And the ratio of these volumes would be 
Question 227360: solve the formula for the variable indicated
A = 1/2 bh for b
Answer by rapaljer(3622) (Show Source):
You can put this solution on YOUR website!
Clear the fraction by multiplying both sides by the denominator which is 2.
To solve for b, divide both sides by h:
For additional explanation on this topic of "Literal Equations", see my own website. Do a "Bing" or "Google" search for my last name "Rapalje". Look for "Rapalje Homepage" near the top of these searches. Then near the top of my Homepage, look for "Basic, Intermediate and College Algebra". Choose "Basic Algebra", "Chapter 3", "Section 3.07".
R^2
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
Question 227259: When working with addition and subtaction property of equality how do you which is additon and which is subtraction? Ex. If XY=ZW, then XY-RS=ZW-RS
Answer by solver91311(5072) (Show Source):
You can put this solution on YOUR website!
If you are subtracting equal values from equal values, then you are using the Subtraction Property of Equality. However, I NEVER use the Subtraction Property of Equality, and you don't have to either. That's because:
If XY = ZW, then XY + (-RS) = ZW + (-RS) is a statement that expresses the EXACT concept that your statement does, and is true because of the Addition Property of Equality.
If you always use one rule, you can't ever get confused. I never divide either -- I multiply by the reciprocal.
John
Question 224958: WHICH IS LARGER A FIVE FOOT TALL SQUARE OR A FIVE FOOT TALL CIRCLE
Answer by alyssad(1) (Show Source):
Question 224848: If a triange has a base of 15 feet and a height of 13 feet, how many feet is the slope?
Answer by LtAurora(115)  (Show Source):
You can put this solution on YOUR website!Use:
The  and  are our sides, or the given base and height in this case. The  is our missing side's distance.
Plugging in our values:
Simplifying:
Take the sqaure root of 394 to give us:
Question 224625: what is the perimeter and the area of a rectangle with length (x+3) and width 7?
I have tried to do this but the x is confusing me .. like for the perimeter would it be x + 20 .. or 20x?.
Found 2 solutions by mestrydilip, ankor@dixie-net.com:
Answer by mestrydilip(9) (Show Source):
You can put this solution on YOUR website!Length = x+3
Width = 7
Perimeter of a rectangle = 2*Length + 2*Width
Perimeter = 2(x+3) + 2*7
Perimeter = 2x+6+14 = 2x+20
Area = Length * Width = (x+3)*7 = 7x+21
Answer by ankor@dixie-net.com(6693) (Show Source):
You can put this solution on YOUR website!what is the perimeter and the area of a rectangle with length (x+3) and width 7?
Perimeter:
P = 2(x+3) + 2(7)
P = 2x + 6 + 14
P = 2x + 20
:
Area:
A = 7(x+3)
A = 7x + 21
Question 219980: If a person wants the flat ceiling in his tool shed to be parallel to the floor. Two of the posts are 80" long and two are 78" long. Will the ceiling be parallel to the floor? (I guessed no because of the different lengths of the poles), and What must the person do to make the ceiling parllel to the floor? (Would I put an 80" post across in the corner across from the other 80" post and the same with the 78" posts)?
Answer by rfer(2688) (Show Source):
Question 217513: The perimeter of a rectangle is 50 m. The width of the rectangle is 5m less than the length. Find the length and width of the rectangle.
Answer by stanbon(26285) (Show Source):
You can put this solution on YOUR website!The perimeter of a rectangle is 50 m. The width of the rectangle is 5m less than the length. Find the length and width of the rectangle.
--------------------------
Perimeter = 2(L + W)
50 m = 2(L + L-5)
25 = 2L-5
30 = 2L
L = 15 m (length)
W = L-5 = 10 m (width)
-----------------------
Cheers,
Stan H.
Question 217361: half of a 16 in diameter circle fits snugly inside a rectangular box, how many square inches larger is the area of the box than the area of the circle?
Answer by nerdybill(2446)  (Show Source):
You can put this solution on YOUR website!half of a 16 in diameter circle fits snugly inside a rectangular box, how many square inches larger is the area of the box than the area of the circle?
.
Draw a diagram of the problem -- label everything you know -- it'll help you see the solution.
.
Area of "half circle"
(1/2)(pi)8^2
= (1/2)(pi)8^2
= 32(pi)
= 100.53 sq inches
.
box:
length is 16
width is 8
Area = width*length
Area = 8*16
Area = 128 sq inches
.
It is larger by:
128 - 100.53 = 27.47 sq inches
Question 217114: A goat is tethered to the side of a square 10ft x 10ft shed. The tethering rope is 18 feet long and tied to a post in the middle of one of the sides. What ist he total area available for the goat to graze? Assume the shed is in the middle of a 100ft x 100ft field.
Answer by jim_thompson5910(13794) (Show Source):
You can put this solution on YOUR website!Step 1) Draw a 10' x 10' square to represent the shed.
Step 2) Extend a line segment from the midpoint of one side of the square (I chose the top) 18 ft out. This is the goat's leash.
Step 3) Now extend a segment 18 ft to the left (you could go either way). Take note how there's 5 feet from the midpoint to the corner.
Step 4) Sweep the two 18' segments (or just one) to form the segment shown in blue below. We'll call this area 
Step 5) Since the rope is eventually going to be caught on the shed, this means that we now have 13 feet (instead of 18') of rope. So just draw out an arbitrary 13' segment
Step 6) Sweep a circular segment through to get the red area shown below in which we'll call 
Step 7) Since 10 ft of rope is stuck on the wall, we now have only 3 ft of rope left. So sweep out the remaining area that the goat can roam (for this side at least). We'll call this new area in green 
Step 8) From the last drawing, we see that there are 3 quarter circles which have the radii 18, 13, and 3 feet.
Recall that the area of a circle is  . Divide this by 4 to find the area of a quarter circle (since all of these segments are quarter circles) to get 
Using the last formula, we then get the areas:
Now add the three individual areas: 
So the area that the goat can graze on the entire left side is  square feet.
To find the total area, simply multiply that last value by 2 (since the right side is a reflection of the left side) to get 
===============================================================
Answer:
So the total area that the goat can graze is  square feet. If we use the approximation  for  , then the approximate area is  square feet.
So the total area available for the goat to graze is 788.14 square feet.
Note: if you need better precision, then just use a better approximation of .
Question 216453: Consider the equation for the area of a trapezoid.
A=1/2(a+b)h
solve for a.
Answer by rfer(2688) (Show Source):
Question 211352: what is the slope and y-intercept form for this problem: 3x-4y=12
Answer by RayVelbis(4) (Show Source):
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990
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