Option D:
Segment DF
Solution:
Let us first define the relationship between the side and angle in triangle.
<u>Relationship between the side and angle in triangle:</u>
- The shortest side is always opposite to the smallest interior angle.
- The largest side is always opposite to the largest interior angle.
To find the largest side in ΔDEF:
Largest angle in ΔDEF is ∠E = 73°
So, the side opposite to 73° is DF.
Therefore, Option D is the correct answer.
Hence the segment DF is the longest side in the ΔDEF.
Answer:
Step-by-step explanation:
We have a geometric sequence with:
, , and
Where
Sn is the sum of the sequence
r is the common ratio
is the first term in the sequence
n is the number of terms in the sequence
The formula to calculate the sum of a finite geometric sequence is:
Then:
Now we solve for
Let the time = x
Distance = Speed x time
One train is 75x, the other train 85x
Add together to equal total distance:
75x + 85x = 384
Simplify:
160x = 384
Divide both sides by 160:
x = 384 / 160
x = 2.4 hours
Answer:
1/4^3 = 1/64
Step-by-step explanation:
you just basically multiply 1/4 for the first 3 ones, you multiply . then you do the same but twice and then once.
Answer:
69.20in
Step-by-step explanation:
Given data
diagonal of the TV d= 55in
Widht of the TV w= 42 in
Hight h= ???
Applying the Pythagoras theorem
d^2= w^2+ h^2
substitute
55^2= 42^2+ h^2
3025= 1764+ h^2
3025+1764= h^2
4789= h^2
h=√4789
h= 69.20
Hence the Heigth is 69.20in