3 years ago

Solve for b. 16 = a² + b^2

Mathematics

1 answer:

laiz [17]3 years ago

7 0

Answer:

$\sqrt{(4-a)(4+a)} =b$

Step-by-step explanation:

16 = a^2 + b^2

16 - a^2 =b^2

4^2 - a^2 = b^2

$\sqrt{4^2 - a^2} =b$

$\sqrt{(4-a)(4+a)} =b$

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2 years ago

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3 years ago

Read 2 more answers

Assume that there are 22 frozen dinners: 12 pasta, 6 chicken, and 4 seafood dinners. The student selects 5 of them. What is the

Stells [14]

Since, there are 22 frozen dinners. Out of these, 22 are pasta, 6 chicken and 4 seafood dinners.

We have to determine the probability that at least 2 of the dinners selected are pasta dinner. At least 2 of the dinners selected are pasta, it means that there can be 2 pasta, 3 , 4 or 5.

So, Probability with at least 2 of dinners

= $\frac{(^{12}C_{2} \times ^{10}C_{3})+ (^{12}C_{3} \times ^{10}C_{2})+(^{12}C_{4} \times ^{10}C_{1})+(^{12}C_{5})}{^{22}C_{5}}$

We will use the combination formula, which states $^nC_r = \frac{n!}{r! (n-r)!}$

= $\frac{(66 \times 120)+(220 \times 45)+(495 \times 10)+(792)}{26334}$

= $\frac{7920+9900+4950+792}{26334}$

= $\frac{23562}{26334}$

= 0.894

=0.90

Therefore, the probability that at least 2 of the dinners selected are pasta is 0.90

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