Answer:
The volume of the prism is 
Step-by-step explanation:
we know that
The volume of the prism is equal to

where
B is the area of the triangular base
L is the length of the prism
we have

<em>Find the area of the base B</em>
The area of a equilateral triangle is equal to


substitute

Answer:
The height of the wall is 9.17ft
Step-by-step explanation:
The length of the ladder is 10ft
Distance from the foot of the ladder to the wall is 4ft
The height of ladder is unknown.
To solve this question, you'll require a pictorial illustration of the situation. Kindly check attached document for that.
Since it's a right angle triangle, we have two sides with one sides unknown, we can use pythagorean theorem to find the third side.
The hypothenus (x) is 10ft
The adjacent is (y) 4 ft
The opposite (z) (height of the wall) is unknown.
X² = Y² + Z²
10² = 4² + Z²
100 = 16 + Z²
Z² = 100 - 16
Z² = 84
Z = √(84)
Z = 9.165 = 9.17ft
The height of the wall is 9.17ft
Answer:
Empirical formula
0.34
0.33
0.33
A^c = event B or event C
Step-by-step explanation:
A = roommate A wins the game
P(A) = (Rock A and Scissors B) + (Scissors A and paper B) + (paper A and rock B)
P(A) = (0.36*0.53) + (0.32*0.25) + (0.32*0.22) = 0.3412
C = game ends in a tie :
P(C) = (RockA and rockB) + (ScissorsA and ScissorsB) + (ScissorsA and ScissorsB)
P(C) = (0.36*0.22) + (0.32*0.53) + (0.32*0.25) = 0.3288
P(B) = 1 - P(A) - P(C)
P(B) = 1 - 0.3412 - 0.3288
P(B) = 0.33
Complement of event A =event B or event C
Answer:
3040000mm³
Step-by-step explanation:
Volume of a cube = a³ ; a = size of edge
Volume of cubical tank = 12³ = 12 * 12 * 12 = 1728 cm³
Half filled cube = 1728 / 2 = 864 cm³
Volume is f rectangular tank :
V = length * width * height
V = 10 * 8 * 7 = 560 cm³
Volume of water left in cubical tank :
(864 - 560) = 304cm³
1cm³ = 1000mm³
304cm³ = 304 * 1000 = 3040000mm³