Answer: 2/3
Step-by-step explanation: convert to same unit. 45/60, 48/60, 40/60
40/60<45/60<48/60
so 2/3 is least
Answer:
d
Step-by-step explanation:
cosA^2 = 1 - sinA^2
subtitute 1/4 below
= 1 - (1/4)^2
= 1 - 1/16
after calculation
= - 0.9682
Answer:
Prove set equality by showing that for any element
,
if and only if
.
Example:
.
.
.
.
.
Step-by-step explanation:
Proof for
for any element
:
Assume that
. Thus,
and
.
Since
, either
or
(or both.)
- If
, then combined with
,
. - Similarly, if
, then combined with
,
.
Thus, either
or
(or both.)
Therefore,
as required.
Proof for
:
Assume that
. Thus, either
or
(or both.)
- If
, then
and
. Notice that
since the contrapositive of that statement,
, is true. Therefore,
and thus
. - Otherwise, if
, then
and
. Similarly,
implies
. Therefore,
.
Either way,
.
Therefore,
implies
, as required.
A) 31.110
B) 0.110
When rounding to three decimal places, you consider if the number to the right of the third decimal place is less than or greater than 5. If it's less than 5, then the digit in the third decimal place stays the same. If it is greater than or equal to 5, then you round the digit in the third decimal place up by one.