<span> -21.8-(-18.3) (2 negative signs become positive)
=</span><span> -21.8 + 18.3
= - 3.5
Answer
- 3.5</span>
Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
Answer:
the empirical probability , relative frequency ,or experimental probability of an event is the ratio of the number of outcomes in which a specified even occurs to the total number of trials , not in a theoretical sample space but in an actual experiment.
Step-by-step explanation:
11 and 2/11 because 46 divided by 11 is 44 plus 2 is 46
The difference between the volume of the spheres is 3428.88 cubic feet
Explanation:
Given that one sphere has a radius of 11 feet.
A second sphere has a radius of 8 feet.
<u>Volume of the 1st sphere:</u>
The formula to determine the volume of the sphere is given by
Volume of the 1st sphere is given by
The volume of the 1st sphere is 5572.45 cubic feet.
<u>Volume of the 2nd sphere:</u>
Volume of the 2nd sphere is given by
The volume of the 2nd sphere is 2143.57 cubic feet.
<u>Difference between the volume of the two spheres:</u>
Difference = Volume of the 1st sphere - Volume of the 2nd sphere
= 5572.45 - 2143.57
Difference = 3428.88 cubic feet.
Hence, the difference between the volume of the spheres is 3428.88 cubic feet.
