Answer:
12. 56
Step-by-step explanation:
The area of a circle is given by pi×r^2
where r is the radius. The question states That we should use 3. 14 in place of pi.
Area=3. 14×r^2
=3. 14×2^2
=3. 13×4
=12. 56
Answer:
1/6
Step-by-step explanation:
There are 4 cards, 2 of which are primes
P(prime) =number of primes/total
= 2/4 = 1/2
Keep the card, now we have 3 cards, 1 of which is a prime
P(prime) =number of primes/total
= 1/3
P(prime, keep , prime) = 1/2*1/3 = 1/6
The ration is 12 muffins to every 21 donuts
Answer:
- Find the coefficients using ax^2 + bx + c = 0
a = 4
b = 7
c = 0
- Make the coefficient equal 1. But how do we do that? Division.
4n² + 7n = 0
4/4n² + 7n/4 = 0/4
= n² + 7/4n = 0
a = 1
b = 7/4
c = 0
- Complete the square using b/2².
b = 7/4
(b/2)² = (7/4 ÷ 2)²
Use fraction rule.
7/4 ÷ 2² = 7/4² / 2²
<em>square the numbers</em>
7/4² / 2² = 49/16 ÷ 4
49/16 ÷ 4 = 49/16 × 1/4
49/16 × 1/4 = 49/64
Add to both sides of the equation using 49/64
b = 7/4
b/2 = 7/4 ÷ 2
<em>simplify</em>
b/2 = 7 ÷ (4 × 2)
<em>simplify(arithmetic)</em>
b/2 = 7/8
n² + 7/4n + 49/64 = 49/64
(n + 7/8)² = 49/64
![(n+\frac{7}{8})^2=\frac{49}{64}\\\sqrt{(n+\frac{7}{8})^2}=\sqrt{\frac{49}{64}}\\](https://tex.z-dn.net/?f=%28n%2B%5Cfrac%7B7%7D%7B8%7D%29%5E2%3D%5Cfrac%7B49%7D%7B64%7D%5C%5C%5Csqrt%7B%28n%2B%5Cfrac%7B7%7D%7B8%7D%29%5E2%7D%3D%5Csqrt%7B%5Cfrac%7B49%7D%7B64%7D%7D%5C%5C)
Next, cancel out the square on the left side.
![n+\frac{7}{8}=+/-\sqrt{\frac{49}{64}}](https://tex.z-dn.net/?f=n%2B%5Cfrac%7B7%7D%7B8%7D%3D%2B%2F-%5Csqrt%7B%5Cfrac%7B49%7D%7B64%7D%7D)
Subtract 7/8 from both of the sides.
![n+\frac{7}{8}-\frac{7}{8}=-\frac{7}{8}+/-\sqrt{\frac{49}{64}}](https://tex.z-dn.net/?f=n%2B%5Cfrac%7B7%7D%7B8%7D-%5Cfrac%7B7%7D%7B8%7D%3D-%5Cfrac%7B7%7D%7B8%7D%2B%2F-%5Csqrt%7B%5Cfrac%7B49%7D%7B64%7D%7D)
Simplify the left side.
![n=-\frac{7}{8}+/-\sqrt{\frac{49}{64}}\\n=-\frac{7}{8}+/-\frac{\sqrt{49}}{\sqrt{64}}\\n=-\frac{7}{8}+/-\frac{7}{8}\\n_1=0\\n_2=-\frac{7}{4}](https://tex.z-dn.net/?f=n%3D-%5Cfrac%7B7%7D%7B8%7D%2B%2F-%5Csqrt%7B%5Cfrac%7B49%7D%7B64%7D%7D%5C%5Cn%3D-%5Cfrac%7B7%7D%7B8%7D%2B%2F-%5Cfrac%7B%5Csqrt%7B49%7D%7D%7B%5Csqrt%7B64%7D%7D%5C%5Cn%3D-%5Cfrac%7B7%7D%7B8%7D%2B%2F-%5Cfrac%7B7%7D%7B8%7D%5C%5Cn_1%3D0%5C%5Cn_2%3D-%5Cfrac%7B7%7D%7B4%7D)
<em>That wraps it up for this equation. Hope it helped!</em>
Answer:
It should be cents
Step-by-step explanation: