Answer:
3. 294 m²
4. 185,856 mm²
Step-by-step explanation:
To find the surface area of any figure, you can simply find the sum of the areas of all the sides. In question 3, the figure is a triangular prism that has two triangular bases and three rectangular sides. The measurements for the triangles are b = 9m and h = 6m. The formula for the area of a triangle is base times height divided by 2, or 9 x 6 = 54/2 = 27 m². However, since there are two triangular bases, the area for both is 54 m². The measurements for the other three rectangles are given:
7(10) + 8(10) + 9(10) = 240 m² + 54 m² = 294 m²
The surface area of a cube is much easier since all sides are equal and can be found using the formula:
SA = 6s², where 's' represents the measure of a side.
SA = 6(176)² = 185,856 mm²
It is already in identity.
cos (x - y) - cos (x + y) = 2 sin(x) sin (y)
Step One
Figure out the interior angle
25 5/7 = 25.714285 repeating. The interior angle is the supplement of this angle.
180 - 25.714285 = 154.2857
The formula relating the number of sides and the interior equal angle is
interior equal angle = 180 ( 1 - 2/n) where n is the number of sides. (Google equiangular polygon to find this formula.)
154.2857 / 180 = 1 - 2/n)
0.8571428 = 6/7 = 1 - 2/n
1/7 = 2/n
n = 14 sides
This figure is regular as well as equiangular.
Answer:
-10
Step-by-step explanation:
Just set up a simple equation.
Answer:
5 5/7 acres
Step-by-step explanation:
The product is ...
(2 1/7 acres/section)(2 2/3 sections) = (15/7)(8/3) acres = 40/7 acres
= 5 5/7 acres
The farmer owns 5 5/7 acres of land.
