Nice, Chris!
A dilation means, increasing or decreasing with a scale factor of--. For example, if we were dilating a line 3 inches long by a scale factor of 2, then the line will become 6 inches long. Use this to find the answer.
Hope this helped!
Hint:
We can square root, cube root, etc. or add an exponent to simplify all of the numbers. Then, we can get rid of the fraction easily. Try it out, and if it is still confusing, I will give you another hint!
We can place a 0 in the fourth box that will be empty.
If we know this, the problem becomes very simple. There are fourr choices of digits for the first box, three for the second, two for the third, and one for the last. 4*3*2*1=24 total options.
Thanks, EP......I didn't read this closely enough !!!
This works also ( at least mathematically)
2x - 6 = 6
2x = 12
x = 6
2 * x - 6 = 6 :
Let k be the number of balls and the number of boxes = n
The "formula" for this is :
C ( n + k - 1, n - 1)
I agree with your methodolody
I believe that the answer should be
[C ( 3 + 2 - 1, 3 - 1 )]^2 = [ C(4,2)]^2 = 6^2 = 36
NOT CPhil here...
Remember TAN function in a RIGHT triangle = opposite side / adjacent side ?
The opposite side is the height of the pole.....the adjacent side is given as 12 ft
SOOOO tan 70 = 2.747 (from calculator) and this = opposite/ adjacent = height /12
2.747 = height /12 Multiply both sides of this equation by 12
2.747 (12) = height in feet You can punch the numbers in your calculator Ta Da !
True. I don't know if there is a possible way to identify cheats, though. Some of them are extremely obvious, and others are hidden. People sometimes rephrase a problem differently to make it seem like its not a test problem.
This is a binomial probability problem
Assuming that we are succeful on the 15th call, we need any 9 of the first 14 to be successful...so we have
C(14,9)(.60)^9 (.40)^5 * (.60) ≈ .2066 ≈ 20.66%
Just read across the rows to find where the value under the f(x) heading is the same as the value as under the g(x) heading.......then scan back to the left to find the value of 'x' HINT: There are two values of x where f(x) = g(x)
Is this even solvable im not sure it is
Hold the phone !!!
I've found the guys who CAN solve this :
However....you MUST repeat these words (at least) 99 times :
"Klaatu Barada Nikto "
Be patient....this virus stuff may be slowing them down a tad..... !!!!!
How might someone bless a god?
Why is god a “him”? Why not an it?
LOL!!!!!
Archimedes, Euler, Gauss and Einstein are dead.....they were the last best hope for solving this.....
Yikes !!
According to The Hitchikers Guide to the Galaxy , the answer is 42.
Thanks, Cal !!!!
1. Not sure about this one, GM......but the dilation of an angle only changes the length of each of the "arms" of the angle, but does not change its measure
So A'B'C' also measures 21 [ I think ]
2. New perimeter = scale factor x old perimeter = (3/2) * 18 = 27 units
20 revolutions is 20 circumferences
circumference = pi * d twenty of them is 20 pi d = 136 ft
d = 136/(20 pi) = 2.165 ft diameter
Well depending on which variable we let x represent and which variable we let y represent y
If we let x be the pounds of apples and y = number of pies....we have a line
The slope is [ 10 - 5] / [ 4 -2 ] = 5/2
And using the point ( 2.5) we have the equation
y =(5/2)( ( x - 2) + 5
y = (5/2)x - 5 + 5
y = (5/2)x
Here's a graph with the points labled : https://www.desmos.com/calculator/cz4ft5sxv4
A spherical ball fits snugly inside a cylindrical jar, so that the ball touches the top and bottom of the jar, and the sides of the jar. The volume of the cylinder is 432pi. What is the volume of the sphere?
Hello Guest!
\(432\pi =\pi r^2\cdot 2r\\ \frac{216}{\pi}=r^3\)
Not correct! I correct below.
\(V=\frac{4}{3}\cdot \pi\cdot r^3=\frac{4}{3}\cdot \pi \cdot \frac{216}{\pi}\\ \)
\(V=288\)
!
Make sure your calculator is set in the same mode as 37 radians or degrees or whatever !
Whoa ! Not so fast....
csc = 1/sin x 1/ sin(2x) = 1/ (2sinx cos x) and this is not merely doubling the value !
ANyway csc (10) = -1.838 (where 10 is in radians)
Using a calculator, I got that Cos37 is about 0.79863551.
To get x, we can do 16/(cos(37)).
