Step-by-step explanation:
I assume AB is supposed to be a straight line. yes ?
in that case please remember that all angles on top of a line (and then again below a line) must sum up to 180 degrees (this is what it takes to flip a "stick" on that line from left to right).
so, COD covers already 90 degrees of these 180.
that means AOD + BOC = 180 - 90 = 90 degrees.
now we know that the 2 angles are in the ratio of 1:5.
that means that BOC is 5 times as large as AOD.
and we can be more direct :
since the 2 angles are in the ratio 1:5 we are actually splitting the remaining 90 degrees into 6 parts (5+1).
and BOC gets then 5 of these 6 parts, and AOD gets the remaining 1 part.
so,
90/6 = 15
therefore, one of these parts is 15 degrees.
so, we know AOD = 15 degrees.
BOC = 5×15 = 75 degrees
or simply 90 - 15 = 75 degrees
Answer:
6
Step-by-step explanation:
Step-by-step explanation:
Volume of a sphere is
plug in 70 ft for the radius to get 1,436,755 cubic ft then divide that by 4 since the prompt describes a quarter sphere, giving you a tank volume of 359,189 cubic ft.
Volume of a cylinder is
from the second prompt we know the tanks are identical since they are said to be congruent which means the hight and radius are the same. Plug in 120 f for h and 35 ft for r to get the volume of a cylinder and then divide that by 2 to get the volume of a single tank. the volume of both tanks would be
To show tank model is a sixth of the original so you divide the radius by 6 and perform the same calculation as in the first portion of the problem ro get the volume a quarter sphere
To get the percentage of the model relative to the original you divide the models volume by the full scale volume
which is less than 1% of the full scale volume.
Answer:
y = -56
Step-by-step explanation:
The equation for direct variation is
y = kx where k is the constant of variation
y = -8 x
We know x =7
y = -8*7
y = -56
Answer:
900 cubic mm
Step-by-step explanation:
You find the volume of a pyramid by using base x height/3. Since the dimensions of the prism and pyramid ate the same, and prisms are just base x height, you multiply the pyramid's area by 3.
