Answer: The length of STV is about 76.83 in.
Step-by-step explanation:
The length of an arc is given by :-
, where r= radius of the cirle, 
is the central angke made by arc.
As per given , Radius of the circle : r= 20 in
Central angle of arc SCV = 
Then, Central angle of arc SCV = 
Then, the length of the arc STV =
Hence, the length of STV is about 76.83 in.
Answer:
13.896 kg
Step-by-step explanation:
You can find the mass of the bar by first finding the volume.
V = BH
where B = area of the base (the trapezium), and
H = height (distance trapezium between bases)
The area of a trapezium is
A = (b1 + b2)h/2
where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and
h = the altitude of the trapezium (distance between the bases of the trapezium)
V = (b1 + b2)h/2 * H
V = (12 cm + 6 cm)(5 cm)/2 * 16 cm
V = 720 cm^3
The volume of the bar is 720 cm^3.
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 19.3 g/cm^3 * 720 cm^3
mass = 13,896 g
Now we convert grams into kilograms.
1 kg = 1000 g
mass = 13,896 g * (1 kg)/(1000 g)
mass = 13.896 kg
Answer: 1.3896 kg
Answer:
I will assume that the end of the top section if it were cut at 0 degrees would be cut at right angles to the length of the section.
Joining a top section with a 37 degree end angle to a side piece with a 50 degree end angle will result in the length of the side piece being at an angle of
37 + 50 = 87 degrees to each other.
The same will be true for the other side.
If the sides were parallel, then going up one side, across the top and then down the other side will result in a change of direction of 180 degrees. However, in this frame the direction turns 87 degrees at the first top corner and another 87 degrees at the second top corner. This is a total of
87 + 87 = 174 degrees instead of 180 degrees.
The two sides diverge at an angle of
180 - 174 = 6 degrees from each other as they extend downwards from the top of the frame
Step-by-step explanation:
Sometimes
for example a 30 degree angle has a 60 degree angle as its complement and a 150 degree angle as its supplement.
if you choose a 90 degree angle it can only have a supplement
if you choose a 180 degree angle it can't have either
hope this helps
