First, always draw. You learned to draw in kindergarben (Yes I spelled it like that on purpose LOL) for a reason.
1) Draw your rectangle on a piece of paper or paint.
2) Scale factor each side to enlarge which means you're going to multiply.
--- Note if it said 'to reduce' then you would divide.
3) Then find the area by multiplying the two given sides (12 x 6 = 72).
4) Don't forget your unit of measurement - 72ft²
So your answer is D.
Answer:
![427.5](https://tex.z-dn.net/?f=427.5)
Step-by-step explanation:
![95\times4.5](https://tex.z-dn.net/?f=95%5Ctimes4.5)
Multiply:
![95\times4.5=427.5](https://tex.z-dn.net/?f=95%5Ctimes4.5%3D427.5)
427.5 is your answer.
Equation of a line through two points is given by y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)
y - 7 = ((10 - 7)/(2 - (-1)))(x - (-1))
y - 7 = (3/(2 + 1))(x + 1)
y - 7 = 3/3 (x + 1)
y - 7 = x + 1
-x + y = 1 + 7
-x + y = 8
we are given
skew lines as
L1: x = 2 + t, y = 2 + 6t, z = 2t
L2: x = 2 + 2s, y = 4 + 14s, z = −1 + 5s
Firstly, we will find directional vector
![u=(1,6,2)](https://tex.z-dn.net/?f=u%3D%281%2C6%2C2%29)
![v=(2,14,5)](https://tex.z-dn.net/?f=v%3D%282%2C14%2C5%29)
now, we will find cross product
![n=uXv](https://tex.z-dn.net/?f=n%3DuXv)
![n=(1,6,2)X(2,14,5)](https://tex.z-dn.net/?f=n%3D%281%2C6%2C2%29X%282%2C14%2C5%29)
![n=(2,-1,2)](https://tex.z-dn.net/?f=n%3D%282%2C-1%2C2%29%20)
we are given two points as
P: (2,2,0) and Q:(2,4,-1)
The dot product of orthogonal vectors is zero
![n*PR=0](https://tex.z-dn.net/?f=n%2APR%3D0)
![(2,-1,2)*((x-2) , (y-2) , (z-0))=0](https://tex.z-dn.net/?f=%282%2C-1%2C2%29%2A%28%28x-2%29%20%2C%20%28y-2%29%20%2C%20%28z-0%29%29%3D0)
![2(x-2)-1(y-2)+2(z-0)=0](https://tex.z-dn.net/?f=2%28x-2%29-1%28y-2%29%2B2%28z-0%29%3D0)
![2x-4-y+2+2z=0](https://tex.z-dn.net/?f=2x-4-y%2B2%2B2z%3D0)
![2x-y+2z-2=0](https://tex.z-dn.net/?f=2x-y%2B2z-2%3D0)
now, we can find distance from point Q
![d=\frac{|2*2-4+2*-1-2|}{\sqrt{2^2+(-1)^2+(2)^2} }](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B%7C2%2A2-4%2B2%2A-1-2%7C%7D%7B%5Csqrt%7B2%5E2%2B%28-1%29%5E2%2B%282%29%5E2%7D%20%7D)
..........Answer
Answer:
0.4mL would provide a dose of 40 μg.
Step-by-step explanation:
The problem states that the Digoxin (Lanoxin) is available for parenteral pediatric use in a concentration of 0.1 mg/mL. And asks how many milliliters would provide a dose of 40 μg?
The first step is the conversion of 0.1mg to ug.
Each mg has 1000 ug, so:
1mg - 1000ug
0.1mg - xug
x = 1000*0.1
x = 100ug
So the concentration of the Digoxin that is available for parenteral pediatric use is 100ug/mL. How many mL would provide a dose of 40ug.
As the number of mL increases, so does the size of the dose(ug). It means that there is a direct relationship between the measures, and we have a direct(cross multiplication) rule of three. So
1mL - 100ug
xmL - 40ug
100x = 40
![x = \frac{40}{100}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B40%7D%7B100%7D)
x = 0.4mL
0.4mL would provide a dose of 40 μg.