Answer:
There is obviously only 1 10x10 square. If we start with a 9x9 square in the top left corner, we can move it down 1, across 1 and back up 1, so there are 4 possible 9x9 squares.
For 8x8 we can move down 1, then 2 and we can move across 1 or 2 so that's 9 possible 8x8 squares.
For 7x7 we can go down 3 and across 3, so that's 4x4=16 possible squares.
The pattern is now clear the total number if squares is 1+4+9+16+…+100.
There's a formula for this, which I had to look up, but any the sum of the first n squared is 1/6n(n+1)(2n+1)1/6n(n+1)(2n+1), so the total number of squares is 10x11x21/6=5x11x7=385.
Answer:
Use Pythagorean Theorem.
Step-by-step explanation:
To find any side of a right angled triangle, we use Pythagorean Theorem. It states that the square of hypotenuse is equal to the sum of squares of it's sides.
Let hypotenuse is a
Perpendicular is b
and base is c
According to the theorem:
a²= b² + c²
Add values and solve for the unknown variable / side.
If you had added the problem, I would have elaborated more but still this will help you out.
<span>Faster maid DATA:
time = x hr/job ; rate = 1/x job/jhr
Slower maid DATA:
time = 3x hr/job ; rate = 1/3x job/hr
Together DATA:
time = 3 hr/job ; rate = 1/3 job/hr
Equation:
rate + rate = together rate
1/x + 1/3x = 1/3
Multiply thru by 3x to get:
3 + 1 = x
x = 4 hrs (time for the faster maid to do the job)</span>
Answer:
<h2>49.49%</h2>
Step-by-step explanation:
volume of liquid in the flask= 200 cm^3
radius of the flask = 3 cm
height of the flask= 12 cm
volume of flask is given by =
putting values and solving we get =396 cm^3
therefore the volume unfilled= 396-200= 196cm^3
therefore % of volume unfilled= 196/396*100= 49.49%
The polynomial that represents the perimeter of the rectangle is P = 6x + 16y
<h3>What are perimeters?</h3>
The perimeter of a shape is the sum of the side lengths of the shape
For all regular quadrilaterals, you add up the side lengths to determine the perimeter
<h3>How to determine the polynomial that represents the perimeter of the rectangle?</h3>
The given parameters are
Length = 5x + 2y
Width = 6y - 2x
The polynomial that represents the perimeter of the rectangle is represented as
P = 2 * (Length + Width)
Recall that:
Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators
So, we have
P = 2 * (5x + 2y + 6y - 2x)
Evaluate the like terms
So, we have
P = 2 * (3x + 8y )
Open the brackets
P = 6x + 16y
Hence, the required polynomial is P = 6x + 16y
Read more about perimeter at
brainly.com/question/18019422
#SPJ1
