Interior angle add up to 360, so you add
(a+10) + (3a+10) + (5a-10) + (3a-10) = 12a
12a =360
a= 30
30+10=40
3(30)+10=100
5(30)-10=140
3(30)-10=80
You can double check they're correct by doing 40+100+140+80, which equals 360.
Answer:
Step-by-step explanation:
DE given is
y''+8y'+15y=0, y(0)=0, y'(0)=1
Take Laplace on the DE
We get
Simplify to get
Y(s) = ![\frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%20%7B%5Cfrac%7B1%7D%7Bs%2B3%7D%20-%5Cfrac%7B1%7D%7Bs%2B5%7D%20%7D%5D)
Take inverse
Answer:
<u>t = t₀ - 3n</u>
Step-by-step explanation:
Let t be the temperature and t₀ be the initial temperature of the day
Let n be the number of hours after the initial temperature ( t₀) was registered
Let -3 be the constant of change of temperature ( In 4 hours it went down 12 degrees)
Now, let's write down the expression that shows the temperature change each hour, this way:
t = t₀ - 3n
After 2 hours
t = t₀ - 3 * 2 = t₀ - 6
After 5 hours
t = t₀ - 3 * 5 = t₀ - 15
After 3 hours and 30 minutes
t = t₀ - 3 * 3.5 = t₀ - 10.5
Eight decreased by six times the number k
The difference of eight and the product of six and the number k
Eight minus six times k
Six multiplied to k is less than 8
I’m so sorry if some of them are wrong, I haven’t did this in a few years but I’m pretty sure almost all of them are right.
