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:
1/a^5
Step-by-step explanation:
a^-5=1/a^5
Answer:
9
Step-by-step explanation:
Math definition Mode means anything that repeats more than anything else.
Eg.(4, 5, 6, 2, 2, 4, 4, 4, 4, 5, 3, 5)
The mode in the bracket is 4. Some of the numbers occured more than once but 4 occured the most that's why it's 4
Answer:
all you need to do is multiply length times width times height.
Step-by-step explanation:
5 1/2 x 3= 16.5
16.5 x 2 1/4= 453.75
now just add both answers :)
I really hope this helps! <3 Good luck!
