Tuesday
April 21, 2015

Posts by steve


Total # Posts: 30,685

Math
If I know all 3 angles of a right triangle and the hypotenuse how do I figure out the short side length of the triangle?
April 3, 2015

6th Grade Math ASAP!!!
you're right -- it is complex. Especially so since you don't seem to have any questions about it.
April 3, 2015

Math
rotation through 180° changes both signs. So, (3,-5) -> (-3,5) Did you actually plot your solution? You would see that it was nowhere near the rotated point. an equilateral triangle has axial and rotational symmetry.
April 3, 2015

programming
for i=1 to 100, read a(i) read n for i=1 to 100, {if a(i)==n, print i} n = a(1) for i=2 to 100, if a(i)>n, n=a(i) print n See whether you can use the above section to repeatedly find the smallest element and place it in the next position. That is, sort the array.
April 3, 2015

Algebra
I don' see no steenking inequalities! For the equations, 6y = 9(x-6) 3(2y+5x) = -6 6y = 9x-54 6y+15x = -6 so, since we have 6y in both equations, set them equal: 9x-54 = -6-15x 24x = 48 x = 2 now you can find y.
April 3, 2015

6th Grade Math Help
excuse me? Every parallelogram is a regular parallelogram. They all have two sets of parallel sides. Pick any side and call it a base. The altitude is the perpendicular distance between that base and the parallel side.
April 3, 2015

6th Grade Math Help
the slanted side cannot be less than the height. That's like saying the hypotenuse of a right triangle is shorter than one of the legs. At any rate, if you can figure out what the height is (the perpendicular distance between two of the parallel sides), then the area is ...
April 3, 2015

algebra
you can go the e^kt route, but it's more transparent to use base 2, since we're talking about half-lives. 2^-1 = 1/2, so A = Ao*2^(-t/10) after 5 years, you have A = 20*2^(-5/10) = 14.14g Of course, since 2 = e^ln2, that means you could use (e^ln2)^(-t/10) = e^(-t*ln2/...
April 3, 2015

math
you are correct 62kg/ft^3 / 8.3kg/gal = 7.46gal/ft^3
April 3, 2015

math
well, xy=k, so 12*6 = k
April 2, 2015

Math 222
I assume you are trying to find excluded x values. If so, you are correct. You know, we like to try and help find answers. Don't make us come up with the questions, too!
April 2, 2015

Math 222
because I have been exposed to similar careless mistakes displayed by others. Tell me. Just looking at your posting, could you easily tell what was being asked? The questions and solutions are all mixed up together.
April 2, 2015

Math 222
Leaving aside the virtually impenetrable formatting, your math appears to be ok.
April 2, 2015

forth
you really had a hard time coming up with 27? Did you try just listing the numbers between 22 and 30 and looking at them?
April 2, 2015

algebra
LCD(20,30) = 10, so the desired LCD is 1/10 x^3y^4 Nothing larger can be factored from both items.
April 2, 2015

math
is the swap simultaneous, or did Rich give her his 1/6 after he received her 1/4?
April 2, 2015

Steve/Ms.Sue
since the triangle is equilateral, the radius of the circle is 18. so, your area is 5/6 of a circle plus the area of the triangle, which is 18^2/4 √3 = 81√3
April 2, 2015

Algebra 1
7-24-25 is one of the standard integer-sided right triangles. Use the Pythagorean Theorem to verify that. Just FYI, it's often helpful to remember the others: 3-4-5 5-12-13 8-15-17 7-24-25 9-40-41
April 2, 2015

Algebra 1
A right triangle's legs are 7 inches and 24 inches. What is the measure of the angle opposite the 24 in leg?
April 2, 2015

Math
well, 3 lbs is 48 oz. ...
April 2, 2015

math
a=2 http://www.wolframalpha.com/input/?i=solve+%7B%7B1%2C3%2C2%7D%2C%7B2%2C-1%2C-3%7D%2C%7B5%2C2%2C1%7D%7D*%7B%7Ba%7D%2C%7Bb%7D%2C%7Bc%7D%7D%3D%7B%7B3%7D%2C%7B-8%7D%2C%7B9%7D%7D
April 2, 2015

Algebra 1
how can you possibly not be sure? Look at your calculation! If the side you want is x, then x/10 = sin 40°
April 2, 2015

Algebra 1
A right triangle has a 40 degree angle. The hypotenuse is 10cm long. What is the length of the side opposite the 40 degree angle? I got 6.4cm but not sure of how I got it.
April 2, 2015

Precalc
(a) when 5t + 17t = 6*5280 (b) when 5t = √(5000^2+(6*5280-17t)^2)
April 2, 2015

trig
well, you could start out with a little algebra: cos^4-sin^4 = (cos^2-sin^2)(cos^2+sin^2) so you have cos^2-sin^2 ...
April 2, 2015

MATH
since the triangles are similar, the angles are all the same as in ABC.
April 2, 2015

MATHS
42
April 2, 2015

Calculus
37y^36 y' = 8x^7 y' = 8/37 x^7/y^36 Now, since y^37 = x^8, y^36 = (x^8)^(36/37) y' = 8/37 x^7 x^(-288/37) = 8/37 x^(-29/37) Doing it explicitly, using the power rule, y = 8/37 x^(8/37 - 1) = 8/37 x^(-29/37) Kind of a dumb problem to use to illustrate implicit ...
April 2, 2015

math
2l + 2πr = 660 a = 2lr + πr^2 = 2(660-2πr)/2 * r + πr^2 = r(660-2πr) + πr^2 = 660r - πr^2 Now just set da/dr=0 to find r, then l.
April 1, 2015

calculus
To answer the 1st question, just plug in t=2 and solve for k: 68+30.6e^(-2k) = 96.6 Now just use the amended formula for the rest. If you get stuck, come on back and show us whatcha got so far.
April 1, 2015

Geometry
since PQR = 60°, PQX = 30° So triangle PQX is an isosceles triangle with base angles of 30° and base=12 Thus, its altitude is 6/√3 and its area = 36/√3 = 12√3
April 1, 2015

Algebra2 Help please
There are 10 scores. The 90th percentile is the score with 9 below it. Similarly, the 30th percentile is the score with 3 below it. Did you check the related questions below? Since the 3rd score is 105 and the 4th score is 113, I guess any score x where 105 <= x < 113 ...
April 1, 2015

geometry
√(250^2+200^2) = 50√(5^2+4^2) = 50√41 = 320.2
April 1, 2015

Jonase the moocher
c'mon. just sub in 3x^2 + 4x(2-x) + (2-x)^2 = 6 Now just collect stuff and solve the quadratic equation.
April 1, 2015

Mathematics - garbled
Want to fill in the missing words?
April 1, 2015

Sciene
looks like you need to gather your materials and stop complaining.
April 1, 2015

Math
(x,y) -> (x-4,y+1)
April 1, 2015

Exponential Equations
Just solve for t in 2500(1+.0275)^t = 3500 1.0275^t = 1.4 t log1.0275 = log1.4 t = log1.4/log1.0275 = 12.4
April 1, 2015

Maths
see the previous solution in the related question below.
April 1, 2015

MATH
can you say homework dump? I knew you could. Still, here's a freebie. Show some effort on the rest, ok? v = (48-16)(36-16)(8) = 5120 m^3 a = (48-16)(36-16) + 2((48-16)(8) + (36-16)(8)) = 1472 m^2
April 1, 2015

Algebra 2
first off, it's theta, not treta! cot(θ-π/2) = (1+cot(θ)cot(π/2))/(cot(π/2)-cot(θ)) = -1/cotθ = tanθ
April 1, 2015

Math
looks good to me
April 1, 2015

algebra
avg velocity is (total distance)/(total time) so, that would be (s(4)-s(2))/(4-2)
April 1, 2015

precalculus help
z = 2cis(2π/3) ∛z = ∛2 cis(2π/9)
March 31, 2015

precalculus
sin2θ = 2sinθcosθ sin(θ+π/2) = cosθ cos(θ+π/2) = -sinθ play around with that some, and verify your algebra with the graph: http://www.wolframalpha.com/input/?i=plot+r%3D2sin2%CE%B8
March 31, 2015

Math
that's matrices What do you mean by the value? The value of a matrix is the matrix.
March 31, 2015

math
assuming some invisible x's, you are correct.
March 31, 2015

math
If he answered all 12 questions, and got x of them correct, then 5x - 2(12-x) = 39
March 31, 2015

Mathematics
what do you get for the range of distance and speed?
March 31, 2015

geometry
since the vertex angle is obtuse, it is the largest angle. So, the two smaller angles are both 2x.
March 31, 2015

algebra
42
March 31, 2015

algebra
well, what is (2+i)^2 ? 2^2 + 4i + i^2 = 3+4i Looks like you got it right.
March 31, 2015

Math
The interest part would be P(1+r)^t - P
March 31, 2015

math
huh? what does that mean??? Your alleged question is so poorly written it's incoherent. As I said, just plug in your numbers: da/dt = √3/2 * 12 * √3 = 18
March 31, 2015

math
a = √3/4 s^2 da/dt = √3/2 s ds/dt Now just plug in your numbers
March 31, 2015

Calculus 1
use the chain rule if u = x^2+2, then you have f = 1/3 u^(3/2) df/dx = df/du * du/dx Now it's easy, right?
March 31, 2015

basic programming principles
print select code { S: Single D: Divorced M: Married W: Widowed else: Incorrect }; use syntax appropriate for your programming language.
March 31, 2015

BUS math
35 = .21p p = 166.67 check: the markup is 131.67 131.67/166.67 = 0.79
March 31, 2015

basic programming principles
prompt for name, dept, salary read name, dept, salary bonus = (dept = 3) : 850 : 700 gross = salary+bonus net = gross * 0.75 display name, net
March 31, 2015

physics
None - she is sitting drinking a Mai Tai and watching the man do the lifting. But, work = Force*distance = mass*g*distance
March 31, 2015

Trigonometry (identities)
√(sin^4xcosx) * √(cos^3x) = √(sin^4x cos^4x) = sin^2x cos^2x = 1/4 sin2x
March 31, 2015

Trigonometry (identities)
sin(α+β)+sin(α-β) = sinα cosβ + cosα sinβ - (sinα cosβ - cosα sinβ) = 2cosα sinβ I suspect a typo. I will use (-8cosxsinx+4cos2x)^2 + (4cos2x+8sinxcosx)^2 = (-4sin2x+4cos2x)^2 + (4cos2x+4sin2x) = 4^2((cos2x-...
March 31, 2015

Math
if you say so.
March 31, 2015

MATH
716-{(1950/5 of 3)-(4+217/7)} of just means times, so you have 716-{(1950/5 * 3)-(4+217/7)} 716-{(390*3)-(4+31)} 716-{1170-35} 716-1135 -419
March 31, 2015

physics
(9.6*10^-6 * 6.24*10^18)/(29*4*10^23) = ?
March 31, 2015

Maths
1 - (4/9 + (2/5)(5/9)) = 1/3
March 31, 2015

Maths
2/5 rotten means 3/5 fresh 3/5 * 5/8 = 3/8 kg
March 31, 2015

This is nothing to do with school
3a+c = 30 a+3c = 22 take it from there...
March 31, 2015

ABC
drop the stone and time how long it takes to hit the ground. Actually, that does not measure the height of the building. He infers the height from the time taken. To actually measure the height, he'd probably have to measure the width of the stone and then count how many ...
March 31, 2015

science
Vx = 9.8 Vy = √(2as) = √(2*9.8*100) = 44.27 final v = √(Vx^2 + Vy^2)
March 31, 2015

calculus
cos2x = secx 2cos^2(x)-1 = 1/cosx 2cos^3(x) - cosx - 1 = 0 you will probably need to use a graphical or numeric method to solve this. However, you know that cos2x never gets more than 1, and secx never gets less than 1. So, you will need cos2x = secx = 1 or cos2x = secx = -1 ...
March 31, 2015

Algebra
(a) look good (b) the friend
March 31, 2015

algebra
since x is proportional to y, x = ky That is, x/y is constant. So, 12/16 = 1/y
March 31, 2015

chemistry
well, PV = nRT plug in your numbers and solve for P.
March 30, 2015

Calculus
profit = revenue-cost revenue = 20*4πr^2 = 80πr^2 cost = 800*4/3 πr^3 = 3200/3 πr^3 so, profit = 80πr^2 - 3200/3 πr^3 max profit when 160πr - 3200πr^2 = 0 160πr(1-20r) = 0 r = 1/20 ft looks like marbles make the most money.
March 30, 2015

math
24*72 = 24*3*24 = 3*24^2 so, its root is 24*root(3)
March 30, 2015

5th grade (math)
no idea. How big is the lawn?
March 30, 2015

English
my answer is B
March 30, 2015

English
Which of the following moments in "The Most dangerous Game" represents an example of foreshadowing? a-Whitney & Rainsford';s discussion about hunting b- Rainsford's observing the gate of the chateau c- Whitney's comment about the light of Rio?
March 30, 2015

math
see some of the related questions below.
March 30, 2015

math - eh?
How did Kayla give away 3/2 beads? Try posting the question as you received it.
March 30, 2015

Calc.
I must be missing something. Clearly the minimum length of fold is achieved when the paper is folded in half, so the upper right corner touches the lower right corner. Then the fold is straight across, and is 8" long. Any diagonal fold will be longer. Of course, I have no...
March 30, 2015

Calculus
If the distance is x from P, then the cost is c(x) = 1.5√(x^2+25) + (10-x) dc/dx = 1.5x/√(x^2+25) - 1 = [1.5x - √(x^2+25)]/√(x^2+25) dc/dx=0 when the numerator is zero, or 1.5x = √(x^2+25) 2.25x^2 = x^2+25 1.25x^2 = 25 x^2 = 20 x = 2√5
March 30, 2015

Algebra
(r^-3s^1/3)^6 / (r^7 s^3/2) r^-18s^2 /(r^7 s^3/2) r^-11 s^1/2 or s^1/2 / r^11
March 30, 2015

Algebra 2
#1 add the two equations to eliminate y^2: 2x^2=18 x = ±3 #2 multiply by 3 to get 3x^2+3y^2=24 since 3x^2 = 5y^2, 8y^2 = 24 y^2 = 3 #3 just sub in directly: 3x^2-2y^2 = 24 3x^2 - (1/2)(2y)^2 = 24 3x^2 - (1/2)(3x)^2 = 24 6x^2 + 9x^2 = 48 15x^2 = 48 x^2 = 16/5
March 30, 2015

Algebra HELP ASAP
w(2w-1)=10 2w^2-w-10 = 0 (2w-5)(w+2) = 0 w = 5/2 so, the length is 4
March 30, 2015

calculus
the distance from (x,y) to (4,-3) is √((x-4)^2 + (y+3)^2) = √((x-4)^2 + ((2x+7)/4+3)^2) = √5/4 (4x^2-20x+61) This has a minimum at x = 37/10 So, the point is (37/10,-18/5) Or, you can consider the perpendicular line through (4,-3). It is y+3 = 2 (x-4) This ...
March 30, 2015

algebra
42
March 30, 2015

Math
1x10^-2 = 1/100 lbs = 4/25 oz seems a bit light, but it's a lot closer than 10^-20 = 1/100000000000000000000 lbs!!!
March 30, 2015

calc
f is increasing where f' > 0 since the even powers are always positive, f'>0 where x-3 > 0 and x-4 > 0 so, that would be (3,4)U(4,∞)
March 30, 2015

Middle Math
Nope. too many zeros, and wrong number 6E0 = 6 6E-1 = 0.6 ... 6E-7 = 0.0000006 You wrote 7E-8
March 30, 2015

math
if the discriminant is zero, there is only one root, hence only one point of intersection. positive, two roots negative zero roots Incidentally, you'd better check your discriminant. If you graph y=x+5, you will see that it intersects in two points, not 1. http://www....
March 30, 2015

calculus
see the related questions below
March 30, 2015

Math
y = x^(e^x) lny = e^x lnx 1/y y' = e^x(lnx + 1/x) y' = x^e^x * e^x (lnx + 1/x)
March 30, 2015

Calculus
you have the functions. Just plug in the values.
March 30, 2015

Calc
(a) dC/dx (b) and (c) are just plug and chug
March 30, 2015

math help
come on. You have the formula. Just solve n^2+n-1 = 2549 Hint: it's not -51
March 30, 2015

math help
check the differences: 4,6,8 I suspect that the next terms are 19+10=29 and 29+12 = 41 you plug in 3 pairs of values into a general quadratic y=ax^2+bx+c and you get a+b+c=1 4a+2b+c=5 9a+3b+c=11 a=1, b=1, c=-1 and get Tn = f(n) = x^2+x-1 Or, you can recall that 1+2+3+...n = n(...
March 30, 2015

Mathematics
((5*.60)+.80)/6 = 63.3% You didn't say whether the tests were weighted, so I'm not sure what the 200 points mean.
March 30, 2015

Algebra
after t minutes, you want 30+25t = 300-20t
March 30, 2015

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