<u>Solution</u><u>:</u>
The rationalisation factor for 
is 
So, let us apply it here.
The rationalising factor for 5 - √2 is 5 + √2.
Therefore, multiplying and dividing by 5 + √2, we have
<u>Answer:</u>
<u>
</u>
Hope you could understand.
If you have any query, feel free to ask.
Answer:
Step-by-step explanation:
Using the given expressions, we can write the area as ...
A = BH
42 = (2x +1)(x +3) = 2x^2 +7x +3
2x ^2 +7x -39 = 0
(x -3)(2x +13) = 0
x = 3 or -6.5 . . . . . these values make the factors be zero
In order for the parallelogram to have positive dimensions, the value of x must be 3. So, the base and height are ...
base = 2(3) +1 = 7
height = 3 +3 = 6
There were 269 skittles in the bag originally.
Step-by-step explanation:
Skittles ate by Evan = 13
No. of bowls = 4
No. of skittles in each bowl = 64
As the skittles are distributed evenly therefore,
Skittles in 4 bowls = 64*4
Skittles in 4 bowls = 256
Total skittles = Skittles in 4 bowls + skittles ate by Evan
Total skittles = 256 + 13
Total skittles = 269
There were 269 skittles in the bag originally.
Keywords: multiplication, addition
Learn more about addition at:
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The stake the rope is tied to is the center of the circle. If the goat pulls the rope as far as it can go and walks around like this he makes a circle and he can eat the grass anywhere within this circle.
(a) Since the area of a circle is given by
this is the formula we can use to find the area of the yard where the goat can roam/eat/reach.
(b) Since the rope is 4 feet the radius r = 4 and the area is given by
square feet. That's the exact area. For an approximation you could substitute 3.14 for pi and get 50.24 square feet.
(c)Since the rope is 5 feet the radius r = 4 and the area is given by
square feet. That's the exact area.
For an approximation you could substitute 3.14 for pi and get 78.5
square feet.
