Looking at a number in different ways can help understand it’s application better. For example, giving an answer with radicals(square roots) is precise, but it’s not practical because you really don’t know what that number means.
Answer:
Yes, it is correct
Step-by-step explanation:
If the temperature did not drop below 60 degrees, that means that it only stayed at 60 degrees or was higher than 60 degrees.
D is greater than or equal to 60 is the right inequality then.
Answer:
Ground speed = 131.25 km/h
Bearing = 92.68º
Step-by-step explanation:
If we imagine a triangle to depict the question with one side 134 km/h at an angle of 78º to the right of vertical (the plane's speed vector).
At the end, we have a line 21 km/h at an angle of 180 (from north), a vertical down from the end of the plane's vector. This vertex is angle B
This makes a triangle with the interior angle B of 78º.
The 3rd side is the ground speed which we can find using the Cosine rule:
b² = a² + c² - 2•a•c•cos(78)
b² = 134² + 21² - 2•134•21•cos(78)
b² = 17226.873
b = 131.25 km/h
The true course bearing" is the ground track. Thus;
Using the Sine rule to find angle A, we have;
(sin(A))/34= sin(78)/b
Thus,
sin(A) = (34 x sin(78))/131.25
sin(A) = 0.2534
A = sin^(-1)0.2534
A = 14.68º
Ground track = A + 78 = 14.68 + 78 = 92.68º
Cone volume=(1/3)hpir^2
d/2=r
d=12
d/2=12/2=6=r
V=120pi
120pi=(1/3)hpi6^2
120pi=(1/3)hpi36
120pi=12hpi
divide both sides by pi
120=12h
divide 12
10=h cm
if height and diameter is doubled aka height and radius are doubled
V=(1/3)(2h)pi(2r^2)
we want to see how it compares to V=(1/3)hpir^2
V=(1/3)(2h)pi(2r^2)
V=2(1/3)(h)pi4r^2
V=8((1/3)hpir^2)
the volume is increased by 8 times
blanks are
10
8
