Answer:
The answer would be B.2100
Step-by-step explanation:
To find the surface area of a triangular prism, first find the lateral area. The lateral area is the product of the perimeter of the base and the height. The perimeter of the base is 15 in.+20 in.+25 in.=60 in., so the lateral area is 60 in.⋅30 in.=1800 in.2. The surface area of any prism is the lateral area plus the base area. Because each base is a right triangle, the area of each base is 12bh. Because the legs of the right triangle are perpendicular, you can use one of them as the base and one as the height. So, the base area is 12⋅20 in.⋅15 in.=150 in.2. There are two bases, so the surface area is 1800 in.2+150 in.2+150 in.2=2100 in.2.
The answer is 7.68. Since she gave one to her sister, she now has 6 to share with her friends. Now we can conclude the equation to solve this problem would be 6x1.28
-3n is negative when the value of n is positive. When the value of n is negative, the value of -3n is positive. Remember that when multiplying a positive and a negative, the product will be negative. If you are multiplying two numbers with the same sign, the product will be positive.
You’re very close! This is a triangular prism which means that the triangle portion has a unique formula. In order to find area of the triangle you do (base x height) and then divided by 2. In this case, base=6 and height=5 so 6x5=30 and 30 divided by 2 is 15. Then multiply by the length which is 10. The final answer is 150cm cubed.
Complementary angles ⇒ the angles add up to 90°
∠A and ∠B are complementary ⇒ ∠A + ∠B = 90°
∠A + ∠B = 90°
Plug in the values for ∠A and ∠B:
(3x - 8) + (5x + 10) = 90
Open the brackets:
3x - 8 + 5x + 10 = 90
Combine like terms:
8x + 2 = 90
Subtract 2 from both sides:
8x = 88
Divide both sides by 8:
x = 11
Answer: x = 11
