Step-by-step explanation:
such a rectangular prism is in that sense like a cube (or die) : it has 6 sides or surface areas. top, down, front, back, left, right.
to get the total surface area we need to calculate each individual side area and sum all 6 of them up.
since it is a rectangular shape, there are 3 pairs of equal side areas, so, we really need to calculate only 3 different ones :
front and back : each is
10×9 = 90 in², both together are 180 in²
left and right : each is
8×9 = 72 in², both together are 144 in²
top and bottom : each is
10×8 = 80 in², both together are 160 in²
the total surface area of the prism is
180 + 144 + 160 = 484 in²
Answer:
i think B or D
Step-by-step explanation:
Answer:
5.83 miles
Step-by-step explanation:
Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:
d² = (3 mi)² +(5 mi)² = 34 mi²
d = √34 mi ≈ 5.83 mi
Bill is 5.83 miles on a direct line from his starting point.
_____
The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.
The correct answer is
39.8
but please correct me if im wrong