Answer:
1. b=39.497
2. c=3.606
3. a=18.974
Step-by-step explanation:
1.
41^2-11^2=b^2
1681-121=b^2
b^=1560
b=39.497
2.
2^2+3^2=c^2
4+9=c^2
c^2=13
c=3.606
3.
21^2-9^9=a^2
441-81=a^2
a^2=360
a=18.974
See it is < and not ≤ so we don't include -4
put a circle around -4 but don't shade it in
to get there, move 4 units left from 0
then we see x is less than -4
so shade to the left of the circle
10 4 , so basically you cross multiply : 10x=20 .... 20 divided by 10 is 2 . x=2
___ = ___
5 x
Let the number of adult be x and the number of children be y.
There is a total of 11 people
x + y = 11
Total cost of tickets is $228
22x + 15y = 228
x + y = 11 ----------------- (1)
22x + 15y = 228 ---------(2)
From (1):
x+ y = 11
x = 11 - y --- sub into (2)
22 (11 - y) + 15y = 228
242 - 22y + 15y = 228
-7y = 228 - 242
-7y = -14
y = 2 ---- sub into (1)
x+ 2 = 11
x = 9
Number of adult tickets = 9
Number of child tickets = 2
Answer:
or 
Step-by-step explanation:
Given
--- Point
The arc length of a function on interval [a,b]: 
By comparison:
Take square root of both sides
Split:
or 
To solve fo f(x), we make use of:
For:
Integrate:
We understand that it passes through .
So, we have:
Make c the subject
becomes
For:
Integrate:
We understand that it passes through .
So, we have:
Make c the subject
becomes
