Answer:
The largest side of given triangle is: AB
Step-by-step explanation:
In order to find the largest side, we have to find all the triangles first.
The two angles at point A will sum up to 180° as the angles on the straight line are supplementary.
So,
∠A = 44°
∠C = 71°
The sum of interior angles of a triangle is 180°
Using this:
∠A+∠B+∠C = 180°
44°+∠B+71° = 180°
∠B+115° = 180°
∠B = 180°-115°
∠B = 65°
In a triangle, the side opposite to the largest angle is the largest. In the given triangle, ∠C is the largest so the side AB which is opposite to ∠C is the largest.
Hence,
The largest side of given triangle is: AB
Answer:
The volume of the prism is 6 unit³
Step-by-step explanation:
In order to calculate the volume of the prism we first need to calculate the volume of each cube. The volume of a cube is given by the formula below:
volume cube = a³
Where a is the length of the side of the cube. So each cube has a volume of:
volume cube = (1/2)³ = 1/8 unit³
Since the cubes are filling the prism, the volume of the prism is the sum of the volume of all the cubes, in this case 48. Since all the cubes are equal, we can multiply the number of cubes by the volume of one cube in order to calculate the volume of the prism. We have:
volume prism = 48*volume cube
volume prism = 48*(1/8) = 6 unit³
There 220 ways to select 3 of the 12 South American countries for the Geography assignment that solved by using the theory of combination in mathematics. The combination in mathematics is a way of choosing items from a set of items. The combination formula is n x (n-1) x ... x (n- k + 1) / k x (k-1) x ... x 1 where n is the number items in the set which is 12 and k is the amount you want to combine from the set which is 3.
Answer:
I just looked it up and that is correct!
Answer:
108n
Step-by-step explanation:
88n+20n
=108n
