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ELEN [110]
2 years ago
15

Can someone please help me on this? Find sine A and sine B. How long is the hypotenuse of triangle ABC?

Mathematics
1 answer:
finlep [7]2 years ago
8 0

Answer:

10

Step-by-step explanation:

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Hey all, can I get the answer + explanation for this? Would be much appreciated.
marysya [2.9K]

Answer:

x = 120

Step-by-step explanation:

Let's draw an imaginary dot in the middle of that <u>line</u> which runs between those two parallel lines, and now lets look at it as an angle.

This lines' angle is 180 degrees. Now lets move those two parallel lines together on the imaginary dot in the middle.

We can see that on the left side is one degree and the other side is another, however when we put them together we get the angle measurement of the our line which we identified was 180.

Now that we can see that our two angles must equal 180 when put together we know and can say that:

40 + (x + 20) = 180

So, lets work this out like basic algebra now.

40 + x + 20 = 180

       x + 60 = 180

           - 60   - 60

               x = 120

And voila we have our x value.

Hope this helps :)

4 0
3 years ago
Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i
lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0
3 years ago
(1.5 ? 10^2) X (2.0 ? 10^3) Express your answer in scientific notation and standard form.
ludmilkaskok [199]

Answer: 3*10^5 or 300,000 cant remember witch one it is

Step-by-step explanation:

1.5*10^2= 150

2*10^3=2,000

150*2000=300,000

3*10^5

4 0
3 years ago
What is the constant rate of change between the values of x and y in
Fynjy0 [20]
What table ? Kinda confusing
5 0
3 years ago
A swimming pool is 30 ft long and 15 ft wide. How much water do you need to fill the pool if it is 6 ft deep? (Thanks?)
VMariaS [17]
Well the volume of the pool is 2700 ft
3 0
2 years ago
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