$43.09 of book
Shhebeenebbemansjdx
An isosceles triangle is one in which 2 angles have similar
measure while the other one is different. In this case, the 2 vertex angles
have a measure of 42 degrees, therefore the third angle which is equal to (2x +
3) is:
(2x + 3) + 42 + 42 = 180
2x + 3 = 96
<span>x = 46.5°</span>
Answer:
3 × 5 × 5 × 2 × 2 × 2
Step-by-step explanation:
Make a factor tree.
But let me explain the above to prove it's correct.
3 × 5 = 15
15 × 5 = 75
75 × 2 = 150
150 × 2 = 300
300 × 2 = 600
Therefore 600 as a product of prime factors is: <u>3 × 5 × 5 × 2 × 2 × 2</u>
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:![\mathcal{L}[t \cos 5t]=(-1)F'(s)](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5Bt%20%5Ccos%205t%5D%3D%28-1%29F%27%28s%29)
with ![F(s)=\mathcal{L}[\cos 5t]](https://tex.z-dn.net/?f=F%28s%29%3D%5Cmathcal%7BL%7D%5B%5Ccos%205t%5D)
.
Now, 
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that 
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation, 
, then the Laplace transform we were searching is 
Answer:
22 laps
Step-by-step explanation:
Clara wants to run 5 1/2 miles, and the track is only 0.25 miles long. This is a fairly easy question, you just need to figure out how many times 5 1/2 goes into 0.25, because she wants to run that amount of miles (I could never run that much).
I hope that answers your question so you understand, and I hope you have a great rest of your day! :)
