Answer:
110
Step-by-step explanation:
y = 11/6x where x is in minutes
there are 60 minutes in an hour
plug in 60 as x
11/6 *60 = 11*10 = 110
Answer:
1/3 , 4/15 , 5/6
Step-by-step explanation:
All you have to do is plug the fractions in your calculator and you see that 1/3, 4/15, and 5/6 are repeating, but the others stop after only a couple of decimal places.
Hope this helps!
Answer:
x=8
Step-by-step explanation:
start by setting angle a equal to angle b
next add 21 to the opposite side
then subtract 2x from the opposite side
finally you're left with x=8
There are 360 degrees in the rhombus which means the equilateral triangles has 180 degrees (because it is half the rhombus and also it is the angle sum of a triangle). It is equilateral meaning all sides and angles are the same so they all must be 60 (180/3)
Now this must mean that angle a is equal to the opposing angle being 60
Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2
