Let n = the unknown number
"Quotient of 82 and a number" translates to 82 / n
"decreased by 26 tells you you're subtracting 26.
82/n - 26 or
Answer:
Step-by-step explanation:
oof. okay.
so basically you have to find the area of each face of this shape
so I will write each area for you just so that I can keep track of where I am.
So the top one is 2*3=6
and then the side of that is 3*1=3
and then the next stair is 3*1 =3
and then again another 3*1=3
and the top of the bottom stair is 3*1=3
the side of that last one is 2*3=6
the back of the stair thingy is 4*3=12
now the weird side is (4*2)+(3*1)+(2*1)=13
you need two of those sides so another (4*2)+(3*1)+(2*1)=13
<em>(for these ones I divided it up into three parts; one were each star begins making it appear that there is a small rectangle on top of a medium rectangle on top of a large rectangle)</em>
and the bottom is 4*3=12
so then you add them all up
6+3+3+3+3+6+12+13+13+12
that all equals 74
I hope this helps!
Answer:
252°
Step-by-step explanation:
In the figure attached, the diagram is shown. There, we can see that
∠DOB = ∠AOD + ∠AOC + ∠COB
Replacing with the equivalences: ∠DOB has a measure of 3.5y, the measure of ∠AOD is y, and ∠AOC + ∠COB measure 180°, we get:
3.5y = y + 180°
3.5y - y = 180°
2.5y = 180°
y = 180°/2.5
y = 72°
Therefore, ∠DOB = 3.5*72° = 252°
Volume of the sphere = 3/4 pi r^3
The spheres radius is one third of the hemisphere's so radius of hemisphere = 3r
Volume of the hemisphere = 1/2 * 4/3 pi (3r)^3
= 2/3 * 27 pi r^3
= 18 pi r^3
So vol hemisphere / vol sphere = 18 pi r^3 / 4/3 pi r^3 = 18 * 3/4 = 13.5
Hemisphere is 13.5 times the volume of the sphere.
