In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:
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In a triangle, the three interior angles always add to 180° ⇒
third angle = 180 - 90 - 67 = 23°
Answer:
67° and 23° (to the nearest degree).
That would be B) 25% off. Hope this helps!
Answer:
+ 6°F
Step-by-step explanation:
Change is (Final - Initial) [Change is subtract old value from new value]
(0°F -(-6°F)) = +6°F
Answer: y = -1/2
Step-by-step explanation:
Subtract both sides by 7/8
y = 3/8 - 7/8
Then combine like terms
y = -4/8
Then simplify
y = -1/2
Answer:
Volume: 
Ratio: 
Step-by-step explanation:
First of all, we need to find the volume of the hemispherical tank.
The volume of a sphere is given by:

where
r is the radius of the sphere
V is the volume
Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

Now we want to find the ratio between the volume of the hemisphere and its surface area.
The surface area of a sphere is

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so
. Moreover, we have to add the surface of the base, which is
. So the total surface area of the hemispherical tank is

Therefore, the ratio betwen the volume and the surface area of the hemisphere is
