Answer:
(-239.4, 657.8) km/h
Step-by-step explanation:
Measured CCW from the +x axis, the angle at which the airplane is traveling is 110°. Then the (x, y) components of the velocity vector are ...
(700 km/h)(cos(110°), sin(110°)) ≈ (-239.4, 657.8) km/h
Answer:
Volume = 0.1696 L
The formula is Area of base of refraction cup × Depth of the refraction cup
Step-by-step explanation:
The dimensions of a refraction cup are;
Diameter = 120 mm
Depth = 30 mm
Therefore, volume of the refraction cup = Area of base × Depth
Volume of the refraction cup = (π×120²/4)/2 × 30 = 169646.003 mm³
1 L = 1000000 mm³
Therefore, 169646.003 mm³ = 169646.003/1000000 m³ = 0.1696 L
The formula is Area of base of refraction cup × Depth of the refraction cup.
Answer:
The volume of a sphere is 2/3 times the volume of a similar cylinder
Scale factor : 2/3
Step-by-step explanation:
Let us consider a sphere of radius r. The volume of the sphere will be given as
Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:
but h = 2r
Hence we have
We can divide the two volumes to get a constant that links them together
this will give us 2/3
Hence the scale factor for Vol sphere: Vol cylinder is 2/3
The fraction is 
Step-by-step explanation:
Let,
The denominator of fraction = x
Numerator of fraction = x-3
Fraction = 
According to given statement;
1 is added to the numerator, the value of the fraction becomes 3/4.
Using cross multiplication
Fraction = 
Keywords: fraction, division
Learn more about fractions at:
#LearnwithBrainly
Answer:
100 is 40% of 250
Step-by-step explanation:
1. We assume, that the number 250 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 250, so we can write it down as 100%=250.
4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.
5. Now we have two simple equations:
1) 100%=250
2) x%=100
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=250/100
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 100 is what percent of 250
100%/x%=250/100
(100/x)*x=(250/100)*x - we multiply both sides of the equation by x
100=2.5*x - we divide both sides of the equation by (2.5) to get x
100/2.5=x
40=x
x=40
now we have:
100 is 40% of 250
