Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.
1/2 - 3/8 = 4/8 - 3/8 = 1/8
you have to find a common denominator before you can subtract. in this case it is 8
Answer:
D
Step-by-step explanation:
For the first 3 digits the possibilities are
10*9*8 since there is no repeating
The last two letters possiblities are
26*25
10*9*8*26*25 = 468,000
Answer:
r = 8.2mm
d = 816.4mm
Step-by-step explanation:
Let the soap be spherical in nature
Volume of a sphere = 4/3 πr³
r is the radius
Given that V = 2308.4mm^3
Substitute
2308.4 = 4/3 πr³
2308 = 4/3 (3.14)r³
2308.4 * 3 = 12.56r³
6,925.2 = 12.56r³
r³ = 6,925.2 /12.56
r³ = 551.37
r = 8.2mm
diameter = 2r
diameter = 2(8.2)
diameter = 16.4mm
