Margie is packing 108 small boxes into a large carton. the small boxes will fill all of the space inside the large carton. Each
1 answer:
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<u>Answer:</u>
x = 4 (extraneous solution)
<u>Step-by-step explanation:</u>
This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back , we will get two fractions with zero denominator which would be undefined.
Answer:
It will take 2.6 hours by Daniel to catch up with Frank.
Step-by-step explanation:
Let Daniel will catch up with Frank after t hours.
Now, Frank will go 13 miles in hours.
So, the distance traveled by Frank in (t + 0.228) hours with 45 mph speed will be equal to the distance traveled by Daniel in t hours with 50 mph speed.
Hence, 45(t + 0.288) = 50t
⇒ 5t = 13
⇒ t = 2.6 hours.
Therefore, it will take 2.6 hours by Daniel to catch up with Frank. (Answer)
Answer:
Therefore the value of k = 6.
Step-by-step explanation:
Given:
LN = m
NM = l
OM = k
NO = 4
LO = 8
LM = 8 + k and
Δ LNM ,Δ LON and Δ MON are right Triangle.
To Find :
Om = k = ?
Solution:
In Right angle Triangle By Pythagoras Theorem we have,
So, In Right angle Triangle Δ LON we have,
LN² = ON² + OL²
m² = 4² + 8²
m² = 80 ............( 1 )
Now in Right angle Triangle Δ MON we have,
MN² = ON² + MO²
l² = 4² + k² ....................( 2 )
Now In Right angle Triangle Δ LNM we have,
LM² = LN² + MN²
(8 + k)² = m² + l² .................( 3 )
Substituting equation 1 and equation 2 in equation 3
(8+k)² = 80 + 4² + k²
Applying (A+B)² = A² +2AB + B² we get
Therefore the value of k = 6.
