Answer:
10 mins
Explanation:
Because it takes 2 minutes to fill a 30 gal pool, and 150/30=5, 2 x 5 = 10 giving you the answer of 10 mins to fill a 150 gal pool.
The answer is 32 cm. for the hexagon
This is about understanding rigid transformations.
<u><em>Option 4 is not a rigid transformation.</em></u>
- In mathematics, transformation could be;
Rigid Transformation; This includes reflection, rotation, translation.
Non - Rigid Transformation; This includes dilation and shear.
- Now, a transformation is said to be a rigid transformation when the newly transformed image retains the same shape and size as it was before it was transformed. Although it can change position.
Whereas, it is termed non - rigid transformation if the shape or size changes.
Let us look at the triangles in the option;
- Option 1; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 2; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 3; Similar to options 1 & 2, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 4; We see that one of the triangles is bigger than the other. Since the transformed triangle is not the same size as it was before transformation, then it is not a rigid transformation.
Read more at; brainly.com/question/16979384
5% interest compounded annually for 3 years multiplies the initial balance by
... 1.05^3 = 1.157625
5% simple interest for 3 years multiplies the initial balance by 1 + 3*0.05 = 1.15.
The difference of these multipliers is
... 1.157625 - 1.15 = 0.007625
If the difference in account balance is Rs 61.00, then the invested principal amount P is
... P*0.007625 = 61.00
,.. P = 61.00/0.007625 = 8000.00
The sum of money is Rs 8000.
