Answer:
29 is yes
and
30 is no
Step-by-step explanation:
hope this helpss
Is this problem is about solving for h? If it is, here is the answer:
Answer:
T = 60 degrees
Step-by-step explanation:
The dotted line is the height so it is a right angle
We are able to use trig functions since this is a right triangle
cos T = adj side / hyp
cos T = a/b
cos T = 8 sqrt(2) / 16 sqrt(2)
cos T = 1/2
Taking the inverse of each side
cos^-1 ( cosT) = cos^-1 ( 1/2)
T = 60 degrees
Formula to find the arc length is:
Where, s= arc length,
r = radius of the circle
\theta = central angle in degrees.
According to the given problem, \theta= 150 and r =2.4.
So, first step is to plug in these values in the above formula to get the arc length.
=
So, arc length is 
.
Answer:
The answer is 31 pennies
Step-by-step explanation:
we have to find a number that gives a remainder of 1 when divided by both 2, 3 and 5.
The easiest way to do this is to list the factors of 5, add 1 to it, and test them until we find the one with a remainder of 1 by all three divisors. This is done as follows:
1) factor: 5 (+1) = 6
6 ÷ 2 = 3 remainder 0
6 ÷ 3 = 2 remainder 0
since there is a remainder of 0, when divided by 3, 6 is wrong
2) factor; 10 (+1) = 11
11 ÷ 3 = 3 remainder 2 ( 11 is not the correct answer
3) factor : 15 (+1) = 16
16 ÷ 2 = 8 remainder 0 ( 16 is not the correct answer
4) factor : 20(+1) = 21
21 ÷ 3 = 7 remainder 0 ( 21 is wrong)
5) factor : 25(+1) = 26
26 ÷ 2 = 13 remainder 0 ( 26 is wrong)
6) factor : 30(+1) = 31
31 ÷ 2 = 15 Remainder 1
31 ÷ 3 = 10 Remainder 1
31 ÷ 5 = 6 Remainder 1
since all three divisors give a remainder of 1, the correct answer is 31
Therefore you have 31 pwnnies
