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3 years ago

9

The Pythagorean Theorem, given by the formula a^2 + b^2 = c^2 , relates the three sides of a right triangle. Solve the formula f

or the positive value of a in terms of b and c.

1 answer:

taurus [48]3 years ago

3 0

Answer:

c=√a²b²

Step-by-step explanation:

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What is the decibel level of the radio with intensity 10−7 watts per square inch? Use a logarithmic model to solve.

BaLLatris [955]

Answer:

$D = 50$

Step-by-step explanation:

Given

$I = 10^{-7}W/m^2$ --- Intensity

Required

Determine the decibel level (D)

This is calculated as:

$D = 10 * log(\frac{I}{I_n})$

Where:

$I_n =$ The threshold intensity

$I_n =1 * 10^{-12}W/m^2$

So, we have:

$D = 10 * log(\frac{I}{I_n})$

This gives:

$D = 10 * log(\frac{10^{-7}W/m^2}{1 * 10^{-12}W/m^2})$

$D = 10 * log(\frac{10^{-7}}{10^{-12}})$

Apply law of indices

$D = 10 * log(10^{-7--12})$

$D = 10 * log(10^{5})$

Apply law of logarithm

$loga^b = b\ log(a)$

So, we have:

$D = 10 * 5 * log(10)$

$log(10) =1$

So:

$D = 10 * 5 *1$

$D = 50$

<em>Hence, the decibel level is 50</em>

7 0

3 years ago

London has a collection of 260 coins. How many coins represent 25% of her collection?

Sergeu [11.5K]

Answer:

65 coins

Step-by-step explanation:

Set this problem up with a porportion.

$\frac{?}{260} \frac{25}{100}$

After that, cross multiple and divide.

25 times 260. Then divide by 100. That is then your answer.

8 0

2 years ago

Show that if f(n) is O(g(n)) and d(n) is O(h(n)) then f(n) + d(n) is O(g(n) + h(n)).

GaryK [48]

$f(n)\in\mathcal O(g(n))$ is to say

$|f(n)|\le M_1|g(n)|$

for all $n$ beyond some fixed $n_1$ .

Similarly, $d(n)\in\mathcal O(h(n))$ is to say

$|d(n)|\le M_2|h(n)|$

for all $n\ge n_2$ .

From this we can gather that

$|f(n)+d(n)|\le|f(n)|+|d(n)|\le M_1|g(n)|+M_2|h(n)|\le M(|g(n)|+|h(n)|)$

where $M$ is the larger of the two values $M_1$ and $M_2$ , or $M=\max\{M_1,M_2\}$ . Then the last term is bounded above by

$M(|g(n)|+|h(n)|)\le2M\max\{|g(n)|,|h(n)|\}$

from which it follows that

$f(n)+d(n)\in\mathcal O(\max\{g(n),h(n)\})$

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2 years ago

The number of people who attended a concert on Friday was 34 the number of people who attended the same concert on Saturday. A t

PilotLPTM [1.2K]

Answer:

8

the answer is 806

Step-by-step explanation:

840-36=806

6 0

3 years ago

What decimal is represented by this expanded form? 3X1000 + 6X100 + 1X10 + 2X1/10 + 1X 1/1000

Nata [24]

3000 + 600 + 10 + 0.2 + 0.001

= 3,610.201 answer

5 0

2 years ago

Read 2 more answers