Answer:
• lateral area: 36√3 square units
• total surface area: (36 +36√3) square units
Step-by-step explanation:
The area of an equilateral triangle of side length s is given by ...
A = (√3)/4·s^2
Your pyramid has four (4) such faces of side length 6 units, so the total (lateral) area of the triangular faces is ...
LA = √3·(6 units)^2 = 36√3 square units
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Of course the area of the square base is simply the square of its edge length, so is ...
A = (6 units)^2 = 36 square units
That means the total surface area, the lateral area plus the base area, is ...
(36 +36√3) square units
Answer:
1000 * Bacteria after 18 hours,
Step-by-step explanation:
The condition given in the problem is that the number of bacterial triple after every 2 hours.
So, after 2 hours, total bacteria= 1000 * 3
So, after 4 hours, total bacteria= 1000 * 3 * 3
Therefore, the general format for the number of bacteria is 1000 * , where n is the number of times the bacteria has tripled.
In 18 hours, there are ties that the bacteria has tripled.
Therefore, the no. of bacteria after 9 hours= 1000 *
Answer:
62°
Step-by-step explanation:
Complementary angles by definition are two or more angles that add up to 90°. So we must do 90°-62° to get the missing angle which is 62°.
Hope that helped.
Answer:
224
Step-by-step explanation:
16x7+4x8+16x5=224
Answer:
The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is 1/36
Step-by-step explanation:
There are total 6 possible outcomes of rolling a six sided fair cube. Therefore, the probability of rolling each number (1,2,3,4,5,6) is fair = 1/6
In this way,
The probability of rolling a 5 on the first number cube = p(A) = 1/6
The probability of rolling a 6 on the second number cube = p(B) = 1/6
The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is = p(A) * p(B) = 1/6*1/6 = 1/36