Answer:
The perimeter of a circle is π × d. Here's is the diameter of the circle. Hence, the perimeter of a circle is half of that of the circle that is ½ π × d.
The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Let a,b, and c be real numbers.
The distributive property says that:

Assuming we want to simplify:

We apply the distributive property to get:

We can now use rules of exponents to simplify further:






Answer: 12.2
Step-by-step explanation:
Answer:
ronnie is playing a card game called subzero , where the goal is to get the lowest possible score.in the first round ,ronnie scored
Step-by-step explanation:
<span>The dimensions of the original picture are 12 by 18. Adding the mat of width x around the picture makes the new dimensions of the whole thing (18+2x)(12+2x). Now we need to find x, the width of the mat, in order to then find the new dimensions. We want the largest frame, so we will assume all 80 inches of wood are used.
To find x, notice that the total area - the original picture area = the area of just the wood used. This must equal 80. So let's set up an equation and solve for x.
(18 + 2x) (12 + 2x) - 18 * 12 = 80
216 + 36x + 24x + 4x^2 - 216 = 80
4x^2 + 60x = 80
4x^2 + 60x - 80 = 0
Divide by GCF, which is 4, to simplify the equation:
x^2 + 15x - 20 = 0
Now this can't be factored, so you must either use the quadratic formula or plug it into your graphing calculator and find the x-intercepts.
EIther way the zeros are x = 1.2321, and x = -16.2337
But this is a word problem so we can't have a negative length for x. So the only valid solution for x is 1.2321. This is the width of the mat all around the 12 * 18 picture.
Now let's use x to find the new dimensions:
Remember that the new dimensions are formed by adding 2x (that is, 2 times x, with x being the width of the mat) to the length and width of the original picture.
New width with mat = 12 + 2x = 12 + 2*1.2321 = 14.46 in
New length with mat = 18 + 2x = 18 + 2.1.2321 = 20.46 in</span>