56871/89= 639.
Do you not get access to a calculator?
Answer:
The circumference of the circle is 176cm
Step-by-step explanation:
Step 1.
Figure out how many of those segments would fit in a whole circle
360/45=8
Step 2.
We know that the length of AB is 22cm so we multiply that by the number of segments in a whole circle
22×8=176
Answer:
Below
Step-by-step explanation:
All figures are squares. The area of a square is the side times itself
Let A be the area of the big square and A' the area of the small one in all the 5 exercices
51)
● (a) = A - A'
A = c^2 and A' = d^2
● (a) = c^2 - d^2
We can express this expression as a product.
● (b) = (c-d) (c+d)
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52)
● (a) = A-A'
A = (2x)^2 = 4x^2 and A'= y^2
● (a) = 4x^2 - y^2
● (b) = (2x-y) ( 2x+y)
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53)
● (a) = A-A'
A = x^2 and A' = y^2
● (a) = x^2-y^2
● (b) = (x+y) (x-y)
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54)
● (a) = A-A'
A = (5a)^2 = 25a^2 and A' =(2b)^2= 4b^2
● (a) = 25a^2 - 4b^2
● (a) = (5a-2b) (5a+2b)
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55)
● (a) = A - 4A'
A = (3x)^2 = 9x^2 and A'= (2y)^2 = 4y^2
● (a) = 9x^2 - 4 × 4y^2
● (a) = 9x^2 - 16y^2
● (a) = (3x - 4y) (3x + 4y)
Answer:
a) Amount of pasta remaining ≤ p(12 - 8)
b) Amount of pasta remaining ≤ 4p
Step-by-step explanation:
Amount of pasta in one container = p
Let y represent the amount of pasta that is left.
Since the students eat 8 containers worth of pasta out of 12 pasta containers
But we weren't told that the students did not eat out of the 4 remaining pasta containers
y ≤ p(12 - 8)
where y = p(12 - 8) if the students did not touch the remaining 4 containers.
b) Using the distributive property
p(12 - 8) = 12p - 8p
y ≤ 12p - 8p
y ≤ 4p
Answer:

Step-by-step explanation:
The surface area of a cube-shaped box with a side of m feet is given by the function:

The cost, C, in dollars, of wrapping a box with a surface area of x square feet is given by the function:

We want to find an explicit expression that models the costs of wrapping a cube-shaped box with a side length of m feet.
In the cost function, C(x), x is the surface area, therefore:

To find the cost of wrapping a cube of side length m feet, we use the explicit function: