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
Example 1<span>
<span><span>verbose explicit high3 <span>plus </span>4 <span>cross </span>2 <span>minus </span><span>minus </span>2 <span>equals </span>3 <span>plus </span>8 <span>plus </span>2 <span>equals </span>1 3</span><span>verbose explicit high semantics3 <span>plus </span>4 <span>times </span>2 <span>minus </span><span>negative </span>2 <span>equals </span>3 <span>plus </span>8 <span>plus </span>2 <span>equals </span>13</span><span>verbose explicit high semantics high3 <span>plus </span>4 <span>times </span>2 <span>minus </span><span>negative </span>2 <span>equals </span>3 <span>plus </span>8 <span>plus </span>2 <span>equals </span>13</span></span>
</span>
For most fractions, the beginning is indicated with "start fraction", the horizontal line is indicated with "over", and the end of the fraction is indicated by "end fraction". For the semantic interpretation, most numeric fractions are spoken as they are in natural speech. Also if a number is followed by a numeric fraction, the word "and" is spoken in between.
A fish is 12 meters below the ocean
below the ocean means lower than the surface (or in the negatives)
12 is the amount of meters it is at
-12 meters is your answer
hope this helps
Answer: <span>A. 23 – 19 = 4
23 and 19 are odd
4 is even
23-19: </span><span>difference of two odd numbers</span>
