<span>The equation for the circle is
</span><span>(x+7)^2+(y-4)^2=12^2 </span>
Answer:
He needs 5x+56 ft
Step-by-step explanation:
To find how much of fencing he needs , we find the perimeter of the given figure
All sides are equal in a square
To find perimeter of the square we add all the sides
4 sides we have for the square
one side is x, so perimeter of square = x+x+x+x= 4x
Now we find perimeter of rectangle
Opposite sides of rectangle are equal
Here for rectangle we consider only three sides
because fourth side is common for rectangle and square
So perimeter of the rectangle (with 3 sides) = 28 +x+ 28 = 56+x
Total fencing = perimeter of square + perimeter of rectangle
4x + 56 + x= 5x+56
Answer:
Hi there!
The correct answer is: 20
Step-by-step explanation:
knowing this a right triangle you can solve this problem in two ways
Method One: Pythagorean Theorem
a^2 + b^2 = c^2 then plug in the values
(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2
square root both sides and you get c = 20
Method Two: Pythagorean Identities
if you ever learned the Pythagorean identity 3,4,5
this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4
so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20
Combination = doesn't matter what order
Permutation = order matters
There are <u>two</u> methods to work out combinations.
Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567
For a total of
35 combinations.
Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.
![\frac{n!}{r!(n-r)!} = \frac{7!}{3!(7-3)!} = \frac{7!}{3!*4!} = \frac{7*6*5*4*3*2*1}{3*2*1*4*3*2*1} = \frac{7*6*5}{3*2*1}=\frac{210}6=35](https://tex.z-dn.net/?f=%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%20%3D%20%5Cfrac%7B7%21%7D%7B3%21%287-3%29%21%7D%20%3D%20%5Cfrac%7B7%21%7D%7B3%21%2A4%21%7D%20%3D%20%5Cfrac%7B7%2A6%2A5%2A4%2A3%2A2%2A1%7D%7B3%2A2%2A1%2A4%2A3%2A2%2A1%7D%20%3D%20%5Cfrac%7B7%2A6%2A5%7D%7B3%2A2%2A1%7D%3D%5Cfrac%7B210%7D6%3D35)
(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)
42 I think I’m not really sure