Answer:
Check below
Step-by-step explanation:
That's too bad you haven't attached a rectangle.
Here's an example, with the data you've typed in.
1) When we dilate a rectangle we either grows it or shrink it through a scale factor.
Check the first picture below.
The New Dilated Rectangle A'B'C'D' will follow its coordinates, when the <u>Center of Dilation is at its origin(Middle):</u>
2) But In this question, <u>B is the center of Dilation</u>. So, Since B is the Dilation Point B=B' . And More importantly:
3) So check the pictures below for a better understanding.
Answer:
The answer is "96.864 ml".
Step-by-step explanation:
In this question, the formula of 
.
( where X is the mean, t is the coefficient, and s is the mean difference error)
As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is 
.
And it can take 
to have been the full value the standard infinite: 
Consequently, if the standard error is , a similar amount should be used to fill
Answer:
4/7 as a decimal is 0.57142857142857.
Answer:
Step-by-step explanation:
Given:
u = 1, 0, -4
In unit vector notation,
u = i + 0j - 4k
Now, to get all unit vectors that are orthogonal to vector u, remember that two vectors are orthogonal if their dot product is zero.
If v = v₁ i + v₂ j + v₃ k is one of those vectors that are orthogonal to u, then
u. v = 0 [<em>substitute for the values of u and v</em>]
=> (i + 0j - 4k) . (v₁ i + v₂ j + v₃ k) = 0 [<em>simplify</em>]
=> v₁ + 0 - 4v₃ = 0
=> v₁ = 4v₃
Plug in the value of v₁ = 4v₃ into vector v as follows
v = 4v₃ i + v₂ j + v₃ k -------------(i)
Equation (i) is the generalized form of all vectors that will be orthogonal to vector u
Now,
Get the generalized unit vector by dividing the equation (i) by the magnitude of the generalized vector form. i.e
Where;
|v| = 
|v| = 
= 
This is the general form of all unit vectors that are orthogonal to vector u
where v₂ and v₃ are non-zero arbitrary real numbers.
Answer:
$414
Step-by-step explanation:
Let's start by figuring out how much he earns per hour.
253/11=23
Greg earns $23 per hour. So if he worked for 18 hours, he would make $414.
