Answer:
∠ A ≈ 44.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos A = =
=
, then
∠ A = (
) ≈ 44.42° ( to the nearest hundredth )
What is the total surface area of the rectangular pyramid whose net is shown?
1 answer:
You might be interested in
Answer:
0.143059384
Step-by-step explanation:
=>
=>
=>
=>
=> 0.143059384
The probability that the transistor will last between 12 and 24 weeks is 0.424
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
X~gamma()
E(X)=
=
=6 weeks
V(x)=
=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X, ,
, False)
P()
P()
P()
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
To learn more about probability click here:
#SPJ4
Answer:
And finally we can convert this into money like this:
So they spent every day approximately in total $ 4815291.6 dollars
Step-by-step explanation:
For this case we can convert the average power into Kw like this:
Now on average we know that one person use on average this power over 6.3 hours per day so then we have the following consumption rate:
And now we know the total population so then the total consumption per day would be:
And finally we can convert this into money like this:
So they spent every day approximately in total $ 4815291.6 dollars
Answer:
Step-by-step explanation:
y′′ + 4y′ − 21y = 0
The auxiliary equation is given by
m² + 4m - 21 = 0
We solve this using the quadratic formula. So
So, the solution of the equation is
where m₁ = 3 and m₂ = -7.
So,
Also,
Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,
Substituting A into (1) above, we have
Substituting B into A, we have
Substituting A and B into y, we have
So the solution to the differential equation is