Answer:
10
Step-by-step explanation:
Follow PEMDAS
5 (2+1) x 2 divided by 3
calculate within parenthesis
(2+1) : 3
5 x 3 x 2 divided by 3
multiply and divide (left to right)
= 10
* x = times sign
V = 1¹/₃πr³
V = 1¹/₃(3.14)(2)³
V = 1¹/₃(3.14)(8)
V = 1¹/₃(25.12)
V ≈ 33.493 in³
Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.
All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.
Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
So the equation you're going to be using is mass = density x volume
So the volume of your block is 35cm^3, and your density is .85g/ml
so your equation would be
mass=.85g/ml x 35cm^3
your final answer is 29.75g/cm^3
Hope this helps :)
D.
a.
b.
hope that helped
