Answer:
A
Step-by-step explanation:
Here, we are tasked with finding the order of magnitude.
What we are basically asked here is to write the number in powers of ten.
Thus
4,000,000 = 4 * 10^6
We can see that 10 is raised to the power of six here and thus we can say that the order of magnitude here is simply 6
Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by
The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows
Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
Answer:
5.5 miles per hour
Step-by-step explanation:
Since he travels a total of 55 miles in 10 hours, you need to divide.
55/10 = 5.5
total hours/total miles = miles per hour
A.900/10=90 therefore, 10% of the garden will be covered moss roses so that transfers to 90 square feet
B.900 square feet is equal to 25% of the garden so 900x4=3600 therefore, the area of the yard in square feet could either be 30x120, 60x60, or 180x20
The height of the container that will be able to minimize the cost will be 3.08cm.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= (3x)(4x)h
= 12x²h
From the information given, we are told that the container must contain 48in³. Therefore,
48 = 12x²h
h = 4/x²
The function cost will be:
= 3.50(2)(12x²) + 4.40(14x)h
= 84x² + 61.6x(4/x²)
= 84x² + 246.4/x
We'll use the first derivative. This will be:
dC/dx = 168x - 246.4/x²
x = 1.14.
Therefore, the height will be:
h = 4/x² = 4/1.14² = 3.08cm
In conclusion, the height is 3.08cm.
Learn more about height on:
brainly.com/question/1557718
