Answer:
Maximum = 756
Minimum = 600
Step-by-step explanation:
A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.
And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:
(1 + 3 + 5 + 8 + 10) × (2 + 4 + 6 + 7 + 9) = 756
At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:
(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600
Answer:
--- Vertex
--- Axis of symmetry
Step-by-step explanation:
Given
Solving (a): The vertex
For an equation written in
The vertex is:
By comparison:
and
So, the vertex is:
Solving (b): The axis of symmetry
For an equation written in
The axis of symmetry is:
x = h
In (a):
So:
Answer:
$13.14
Step-by-step explanation:
60 mi/1 hour = x mi/1.5 hours
x = 90 mi to drive to work
25 mi/1 gallon = 90 mi/y gallons
y = 3.6 gallons to get to work
$3.65/1 gallon = $z/3.6 gallons
z = $13.14
Answer:
40951
Step-by-step explanation:
Using the principles of inclusion - Exclusion
Where C(n,r)=n!/(n-r)!r!
Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000
Total Number of elements in each pair including number repetition of sets is given as
=(1000) × C(5, 2) =10000
Number of elements in each triple of sets is given as
=(100) × C(5, 3) =1000
Number of elements in every four sets
=(10) × C(5, 4)=50
Number of elements in every one set
(1) × C(5, 5)=1
Therefore total number of unique elements=50000-10000+1000-50+1
=40951
Answer:
C.
Step-by-step explanation:
Recall that the sum of the (3) interior angles of a triangle <em>must</em> equate to 180.
In other words:
Where x is our unknown angle. So, we need to solve for x.
On the left, add 55 and 20:
Subtract 75 from both sides. The left side cancels:
Therefore, the third angle is 105 degrees.
Our answer is C.
