Answer: Circle
Step-by-step explanation:
5/6 × 6 = 5 so 5/6 times 12= 10
Answer:
Step-by-step explanation:
11.
to find floor area:
= 8 x 8
= 64
= Floor is 64m.
to find carpet: 8 x 8 x 75%
= 64 x 75%
= 64 x 0.75
= 48
a. The dimensions of the carpet are probably 8 by 8.
b. The area of the floor not covered by carpet is 64, hence 8 x 8.
12.
A perfect square is a square that has demensions that is a number multiplied by itself.
Eight times eight fits the requirements, so this square is in fact perfect.
Have a lovely day!
It should be 6.36cm. If not ask someone smart in your class.
If <em>x</em>² + <em>y</em>² = 1, then <em>y</em> = ±√(1 - <em>x</em>²).
Let <em>f(x)</em> = |<em>x</em>| + |±√(1 - <em>x</em>²)| = |<em>x</em>| + √(1 - <em>x</em>²).
If <em>x</em> < 0, we have |<em>x</em>| = -<em>x</em> ; otherwise, if <em>x</em> ≥ 0, then |<em>x</em>| = <em>x</em>.
• Case 1: suppose <em>x</em> < 0. Then
<em>f(x)</em> = -<em>x</em> + √(1 - <em>x</em>²)
<em>f'(x)</em> = -1 - <em>x</em>/√(1 - <em>x</em>²) = 0 → <em>x</em> = -1/√2 → <em>y</em> = ±1/√2
• Case 2: suppose <em>x</em> ≥ 0. Then
<em>f(x)</em> = <em>x</em> + √(1 - <em>x</em>²)
<em>f'(x)</em> = 1 - <em>x</em>/√(1 - <em>x</em>²) = 0 → <em>x</em> = 1/√2 → <em>y</em> = ±1/√2
In either case, |<em>x</em>| = |<em>y</em>| = 1/√2, so the maximum value of their sum is 2/√2 = √2.
