Answer:
Young boy will grow to height 132 cm in 12 months.
Step-by-step explanation:
Given:
Growing rate = 3.5 cm per month
Current height = 90 cm
Let the number of months be x
Required height = 132 cm
We need to find the number of months required to grow the height till 132 cm.
Hence Number of months required can be calculate by subtracting Required height with Current height and then dividing it with growing rate.
Framing the above statement in equation form we get;
Hence Young boy will grow to height 132 cm in 12 months.
By the divergence theorem,
where
is the boundary of
. We have
so the flux is
Answer:
A. ΔADC ~ ΔRTS because ∠A ≅ ∠R, ∠C ≅ ∠S, and ∠D ≅ ∠T
Step-by-step explanation:
The alternative itself answers the question. Just remember that two triangles are similar if the only difference is size.
∠DCA = 32.3º and ∠RTS = 51.2º
Answer:
>
Step-by-step explanation:
First we get the same denominator by finding a common multiple.
20 is the lowest common multiple so let's use that.
9/10 will have to change so that the denominator is 20.
From 10 to 20 we have multiplemultiplied it by 2 so we will do the same to the numerator.
9 × 2 = 18.
The fraction is now 18/20.
Now 3/4 – we will get to 20 by multiplying by 5.
3 × 5 = 15
Now we can compare
18/20 and 15/20
9/10 and 3/4
Answer:
Rate of plane 735 km/hr
Rate of wind 65 km/hr
Step-by-step explanation:
Calculation to determine the rate of the plane in still air
Let Va represent the velocity of the airplane
Let Vw represent the velocity of the wind
When flying with the wind:
(Va+Vw)*(6 hours) = 4800
6Va + 6Vw = 4800
6Vw = 4800 - 6Va
Vw=4800/6-Va
Vw = 800 - Va
When flying against the wind:
(Va-Vw)*(6 hours) = 4020 km
6Va - 6Vw = 4020
Substitute 800-Va for Vw and solve for Va:
6Va - 6(800-Va) = 4020
6Va -4800 + 6Va = 4020
12Va = 8820
Va=8820/12
Va = 735 km/hr
Therefore the rate of the plane in still air is 735 km/hr
Calculation to determine the rate of the wind
Rate of wind:
Vw = 800 - Va
Vw= 800 -735
Vw= 65 km/hr
Therefore the rate of the wind is 65 km/hr
