Answer:
168 ft²
Step-by-step explanation:
The area of the two triangular bases is ...
total base area = 2×(triangle area) = 2×(1/2)bh = (6 ft)(4 ft) = 24 ft²
The lateral area of the prism is the product of the triangle perimeter and the height of the prism.
lateral area = (6 ft + 5 ft + 5 ft)(9 ft) = 144 ft²
The surface area is the sum of the base area and the lateral area:
surface area = base area + lateral area
surface area = 24 ft² +144 ft² = 168 ft²
The surface area of the prism is 168 square feet.
Answer:
13.5√(3) ft^2
Step-by-step explanation:
In this, question, we are to calculate the area of the hexagon
Mathematically, we can calculate the area of a hexagon using the formula;
A = {3√(3)/2}a^2
where a is the length of the side which is 3 feet
substituting the value of 3 into the formula, we have;
A = 3√3/2 * 3^2 = 27 √(3)/2 = 13.5√(3) ft^2
Answer:
- (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
Step-by-step explanation:
<u><em>Use of formulas:</em></u>
- <em>a^2 - b^2 = (a + b)(a -b)</em>
- <em>a^3 + b^3 = (a + b)(a^2 - ab + b^2)</em>
- <em>a^3 - b^3 = (a - b)(a^2 + ab + b^2)</em>
<u>Given the expression: </u>
<u>Factoring 729</u>
<u>Factoring the expression </u>
- x^6 - 3^6 =
- (x^3)^2 - (3^3)^2 =
- (x^3 + 3^3)(x^3 - 3^3) =
- (x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
- (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
C = 2 because 2 times 2 is 4 and 4+2 = 6
Answer:
Step-by-step explanation:
If the ratio of triangle = 3:4:2
Total ratio = 3+4+2 = 9
The sum of angle in a triangle is 180°
1st angle= 3/9 × 180 = 2 × 20 = 60°
2nd angle= 4/9 × 180 = 4 × 20 = 80°
3rd angle= 2/9 × 180 = 2 × 20 = 40°
