Answer:
The answer is A.
Step-by-step explanation:
The angles add up to be 180°, which makes a supplementary relationship.
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
=
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
=
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
Answer:
The answer to your question is letter A. Regular size is cheaper than Economy size by $0.0003 per gram
Step-by-step explanation:
Cost of 1 gr of economy size
5000 gr (5 kg) ------------------- $ 5.15
1 gr -------------------- X
x = 1 x 5.15 / 5000 = $0.0010
Cost of 1 gr of regular size
820 gr ------------------- $0.60
1 gr -------------------- x
x = 1 x 0.6 / 820 = $ 0.0007
Difference of cost = $0.0010 - $0.0007 = $0.0003
Based on the difference in scores for the basketball team over the six games, the mean difference in scores was 3
<h3>How to find the mean difference in scores?</h3>
The basketball team had 6 games and in these games, their scores were listed as differences in game scores.
The mean of these differences in scores can be found by adding the differences where they won and subtracting the differences where they lost and then dividing by the number of games:
The mean difference in game scores is:
= (7 - 7 + 8 + 9 - 4 + 5) / 6
= 18 / 6
= 3
Find out more on the mean differences at brainly.com/question/11323789
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