Answer:
Step-by-step explanation:
0.045 = 45/1000
Divide top and bottom by their greatest common factor.
It looks to me as though the greatest common factor of 45 and 1,000 is 5 .
Divide top and bottom by 5 and we have <u>9/200</u> . That's the simplest form.
Answer:
37ft³
Step-by-step explanation:
Volume of the fish tank = length × width × height = 5ft × 3ft × 3ft = 45ft³
Volume of the cubic stone = length × length × length = (2ft)³ = 8ft³
Volume of the water = volume of the fish tank - volume of the cubic stone
i.e Volume of the water = 45ft³ - 8ft³ = 37ft³
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
