I prefer to use fractions for some irrational numbers.
For example, 1/3 is equal to an infinite 0.3333333333333333...
Answer:
Since 7 is √49 and 8 is √64 and 49 < 56 < 64 the answer is 7 < √56 < 8.
Answer:
20
Step-by-step explanation:
Answer:
See verification below
Step-by-step explanation:
Remember that the Intermediate Value Theorem (IVT) states that if f is a continuous function on [a,b] and f(a)<M<f(b), there exists some c∈[a,b] such that f(c)=M.
Now, to apply the theorem, we have that f(0)=0²+0-1=-1, f(5)=5²+5-1=29, then f(0)=-1<11<29=f(5). Additionally, f is continous since it is a polynomial. Then the IVT applies, and such c exists.
To find, c, solve the quadratic equation f(c)=11. This equation is c²+c-1=11. Rearranging, c²+c-12=0. Factor the expression to get (c+4)(c-3)=0. Then c=-4 or c=3. -4 is not in the interval, then we take c=3. Indeed, f(3)=3²+3-1=9+3-1=11.
So, to find the area of a triangle we use the formula
a=1/2bh
So to find the base measure across the bottom line.
And to find the height, measure the length of the sitter line (the one in the middle spanning from top to bottom)
We then multiply the base and the height
After that we take the answer we got from multiplying the base and the height and divide it by 2
And the number you get after you divide it by 2 is the area of the triangle.
So, we know the base of the triangle is 6cm and the height is 2cm
Then we do 6×2=12
12/2=6
So the area is 6cm
and the number closest to 6 is 12
So your answer should be A