The degree of the radian angle 0.11 is 
Explanation:
It is given that the radian angle is 0.11
We need to determine the degrees of the radian angle.
To convert the radian into degrees, let us multiply the radian with 
Thus, we have,
It is given that 
Substituting in the above expression, we have,
Rounding off to the nearest tenth, we have,
Thus, the degree of the radian angle 0.11 is
Start by converting 300 feet to miles and 2.92 seconds to hours.
300 feet 1 mile
----------- x -------------- = ?
1 5280 feet
2.92 sec 1 hr
----------------- * ---------------- = ?
1 3600 sec
Reduce each of the above fractions. Then convert 300 feet
-------------- to the
2.92 sec
equivalent speed / rate in mph using the converstion factors you derived earlier.
Angles ECD and CEF add to 180
40+140 = 180
So that means we have EF parallel to CD (due to the same side interior angle theorem)
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Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.
In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.
--------------
So far we have
AB || CD
CD || EF
Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.
It's like saying "P --> Q and Q --> R, therefore P --> R"
Answer: The value of the card after you buy your 8th coffee will be $61.3
Step-by-step explanation:
The worth of the gift card for the coffee shop is $90. Each day you use the card to get a coffee for $4.10. This means that the worth of the gift card is reducing by $4.10 each day. This rate is in arithmetic progression.
The formula for the nth term of an arithmetic sequence, Tn is expressed as
Tn = a + (n-1)d
Where a is the first term
d is the common difference
n is the number of days
From the information given,
a = $90
d = - $4.1
The explicit formula representing the amount of money available will be
Tn = 90 - 4.1(n - 1)
The value of the card after you buy your 8th coffee will be
T8 = 90 - 4.1(8 - 1) = T8 = 90 - 4.1×7
T8 = 90 - 28.7
T8 = $61.3
Answer:
c
Step-by-step explanation:
