Wow! I didn't know this. Thanks Alan!
seconds in december divided by seconds in november will result in remander of 1 day's worth of seconds
24 hr x 3600 sec/hr / 17 = ...... with remainder 6
Presumably this should read
"There are 24 red beads. The number of red beads is 34 less than the number of blue beads. The number of white beads is 0.5 the number of blue beads. What is the total number of beads on Kirsten’s necklace?"
If so, then
r = 24
b = r + 34
w = b/2
total = r + b + w
Can you take it from here?
As follows:
Get to know the properties of logarithms!
Not sure if this is correct.
Ok there are three possibilities for x, y, and z --------> -1, 0, and 1
For \(x^2 + y^2 +z^2 \leq 1\), at least two of the numbers have to be 0.
I don't know how to continue. Help.
tan 34 = opp / adj = height / distance to goal
tan34 = (3.05-1.7) / d
d = 2 meters
So your question is looking for where the tangent line has zero slope in the interval between -1 and 1 inclusive
If you properly derived the derivative, set it equal to 0 and find where in the inteval requested, it = zero
The derivative of a funtion IS the slope of the function ....... given f(x) f ' (x) is the slope.....( gradient is the same thing as slope.)
1-2x / (sqrt1-x^2) = 0
1-2x = 0
-2x = -1
x = 1/2
1490/x = 596/.4
1490 * .4/596 = x
2.4 cm / 300 p * 650 p = .......... cm thick (see how the p cancels out and you are left with ' cm ' ?)
Redux for posterity....figured a simpler way while sleeping last night
RATES Rate WITH escaltor 1 escalator / 6 sec Rate against escalator 1 escalator / 30 seconds
NOW it is like the airplane/windspeed or boat/ current speed calcualtions
rate on still escalator = ( 1/6 + 1/30 ) / 2 = (6/30) /2 = 6/60 = 1 /10 = rate on still esc ( 1 esc / 10 sec)
then time on still escalator = 10 sec
thx alan
No problems, just glad to be able to help :)
Like so:
LMNP is a rectangle and, LN and MP are diagonals.
Since, diagonals of rectangle are equal,
⇒ 6x + 6 = 9x - 3
⇒9x - 6x = 9 + 3
⇒3x = 12
⇒x = 4
Thus, LN = 6*4 + 6
= 30
and MP = 9*4 - 3
= 33
Selling price = $110
Discount % = 45%
Let the original/marked price be x.
⇒x - (45% of x) = 110
⇒x - 45x/100 = 110
⇒100x - 45x = 11000
⇒55x = 11000
⇒x = 200
Thus, the original price was $200.
Area of rhombus = 1/2 * product of diagonals
= 1/2 * 15 * 8
= 60 sq. ft.
Total sum of angles in heptagon = 1080
⇒132 + 123 + 131 + 125 + x + 124 + 129 = 1080
⇒764 + x = 1080
⇒x = 316º
The x-coordinate of the center is 5 - sqrt(2).
There are 408 ways of coloring the diagonals.
DC = 24*2/3*1/3 = 16/3.
15 liters of lemon juice must be added.
In the given cuboid,
l = 8; b = 4; h = 15
Surface area of cuboid = 2(lb + bh + hl)
= 2(8*4 + 4*15 + 15*8)
= 2(32 + 60 + 120)
= 2 * 212
= 424 sq. yds
3. Consider a right angled triangle ABC,
Let AC (length of string from ground) = 25 m ...[AC is hypotenuse]
BC (person to barn distance) = 18 m
cos∠ACB = 18/25
= 0.72
∠ACB = 43.95º
Thus, the string makes 43.95º with the ground.
There are now 60 freshmen at the dance.
The number of possible integer values of CA is 12.
