Answer:
1017.36 mm²
Step-by-step explanation:
d = 2r => r = d/2 = 36mm/2 = 18 mm
A = π·r²
= 3.14×(18mm)²
= 3.14×324mm²
= 1017.36 mm²
Increase by 10% is time 1.10
so
area=side^2
sidenew=1.1x
so
(1.1x)^2=44 is equation
Label each nut with a variable, c = cashews, p = peanuts.....
for a 10-pound mix, you will need c + p = 10
the price for 10-pounds would become 3.29 x 10 = 32.90
You will need an unknown amount of cashews at 5.60/lb and an unknown amount of peanuts at 2.30/lbs to get your full 10 pounds valued at 32.90
5.60c + 2.30p = 32.90
Now you 2 have a system of 2 equations and 2 unknowns
c + p = 105.6c + 2.3p = 32.9utilize substitution to solve:p = 10-c
5.6 c + 2.3 (10-c) = 32.9
solve for c then substitute back into c + p = 10 to solve for P
Hope this helps!
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system
Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999
The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
Answer:
x=95
Step-by-step explanation:
Angles on a line add to 180. Therefore, finding
180=85+x
Will result in the correct answer. Also, solving
180=35+2x
for x will get you 95.