Answer: 9πcm²
Step-by-step explanation: area of the square= 36cm²
Therefore, the area of one side= √area = √36 = 6cms
Since the circle is touching the sides of the square, the side of the square = the diameter of the circle
Therefore the radius of the circle= side/2 = 3cm
The formula for the ares of the circle is πr²
π*3*3 = 9πcm²
Answer:
Step-by-step explanation:
To prove: The sum of a rational number and an irrational number is an irrational number.
Proof: Assume that a + b = x and that x is rational.
Then b = x – a = x + (–a).
Now, x + (–a) is rational because addition of two rational numbers is rational (Additivity property).
However, it was stated that b is an irrational number. This is a contradiction.
Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.
Hence, the sum of a rational number and an irrational number is irrational.
Answer:
4 ( not sure what the units are)
Step-by-step explanation:
Just by looking at the slope you can figure out how much it grows per year.
y = mx + b
m = slope
Not sure what units there are in the question just place it in the end.
Hope this helps :)
Answer: y=<em>300</em>-40x
The <em>y-intercept</em> would be 300
The slope would be -40
Step-by-step explanation:
x=number of months
300 is the amount she starts with
Equation can also be written like so; y=-40x+300 just like in y=mx+b (slope intercept) form
Answer:
The given triangle is NOT A RIGHT ANGLED TRIANGLE.
Step-by-step explanation:
Here, the three given sides of the triangle are:
8 units, 10 units and 12 units
Now, for any triangle to be a right angle:
by the PYTHAGORAS THEOREM:
The longest of all sides id the hypotenuse.
⇒ H = 12 units
Let us assume, B = 8 units, P = 10 units
Now, here checking the condition:
Hence, the given triangle is NOT A RIGHT ANGLED TRIANGLE.