The correct answer is:
D. 20.4 cm - 16.8 cm (attached)
The triangular prism is similar to the described prism.
![|Huntrw6|](https://tex.z-dn.net/?f=%7CHuntrw6%7C)
Answer:
<u>58 units</u>
Step-by-step explanation:
I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)
Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.
Finally, I solve for the area of the triangle:
1/2(46.25 x 2.5) ≈ <u>58 units</u> (rounded to the nearest whole number)
9514 1404 393
Answer:
Step-by-step explanation:
Let g and b represent the numbers of candy canes the girl and boy have, respectively.
g -1 = b +1 . . . . . . girl gives to boy, they're equal
g +1 = 2(b -1) . . . . boy gives to girl; she has double
Adding 1 to the first equation gives an expression for g that can be substituted into the second equation.
g = b +2
(b +2) +1 = 2b -2
5 = b . . . . . . . . . . add 2-b, simplify
g = 5+2 = 7 . . . . . find g
The girl has 7 candy canes; the boy has 5.
Special Triangles Theorem
leg1=leg2=a
hypotenuse=a√2=10
Both Legs are 5√2 inches
By "density" I assume you mean "probability density function". For this to be the case for
![f(x)](https://tex.z-dn.net/?f=f%28x%29)
, we require
![\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20f%28x%29%5C%2C%5Cmathrm%20dx%3D1)
Since
![f(x)=\begin{cases}cx^{1/2}&\text{for }0](https://tex.z-dn.net/?f=f%28x%29%3D%5Cbegin%7Bcases%7Dcx%5E%7B1%2F2%7D%26%5Ctext%7Bfor%20%7D0%3Cx%3C2%5C%5C0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
you have
![\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2cx^{1/2}\,\mathrm dx=\dfrac{2c}3x^{3/2}\bigg|_{x=0}^{x=2}=\dfrac{2^{5/2}c}3=1](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20f%28x%29%5C%2C%5Cmathrm%20dx%3D%5Cint_0%5E2cx%5E%7B1%2F2%7D%5C%2C%5Cmathrm%20dx%3D%5Cdfrac%7B2c%7D3x%5E%7B3%2F2%7D%5Cbigg%7C_%7Bx%3D0%7D%5E%7Bx%3D2%7D%3D%5Cdfrac%7B2%5E%7B5%2F2%7Dc%7D3%3D1)
which means