Step-by-step explanation:
Let the speed of the plane in still air = x
and speed of wind = y
Now from city A to B
dIstance = speed × time
732732 = (x - y) × 2 (1)
From city B to A
Distance = speed × time
732732 = (x + y) × 1.5 (2)
From (1) and (2)
2x - 2y = 1.5x + 1.5y
0.5x = 3.5y
x = 7y
If we plug in (1)
732732 = (7y - y) × 2
732732/12 = 12y/12
y = 61061
Since x = 7y
= 427427 miles/hr
Speed of still air plane is 427427 miles/hr
Speed of wind = 61061miles/hr
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Answer:
4
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = B(0, 0) and (x₂, y₂ ) = (, )
AB = +
= +
=
=
= 4
Answer:
Volume= 82.4in³
Step-by-step explanation:
Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid. It's units are always "cubic"
To find the volume of sphere, we will use the following formula of Volume:
Volume = 4/3 πr³
Put the values in the formula:
As we know that the value of π is 22/7 or 3.14
Radius = 2.7
According to the formula:
Volume = 4/3 * 3.14 *(2.7)³
Volume= 4/3* 3.14(19.683)
Volume=4/3(61.80462)
Volume=247.21848/3
Volume= 82.4in³....
Answer:
The approximate difference in time is 2 years.
Step-by-step explanation:
The equation for Calvin's account is
To solve for c, we first divide both sides by 400. This gives us:
Using logarithms to solve this, we have
Dividing both sides by 12, we get c = 9.9998 or around 10 years.
The equation for Makayla's account is
Dividing both sides by 300, we get
Using logarithms to solve this, we have
Dividing both sides by 4, we get
m = 11.9999 or about 12.
This means Makayla had her money in the account 12-10 = 2 years longer than Calvin.
C. The probability of rolling a 3 is a 1/6 chance, as is rolling a 5. But the probability of rolling a 3 OR 5 increases that chance twice as much, make the probability a 1/3 chance.