Answer:
SA =588 m^2
Step-by-step explanation:
SA = 4 pi r^2
R = 7 and pi =3
SA = 4*3 * 7^2
SA =588 m^2
Answer:
C
Step-by-step explanation:
38+72= 110
180-110= 70
C
The 6 people be assigned in 720 different ways to chair the subcommittees.
<u>Step-by-step explanation:</u>
Given that,
- There are 6 people to be assigned to the chair committees.
- So, you need to find that in how many ways they can be assigned their seats.
This can be calculated by Permutation.
The number of arrangements in which the order of the objects matters is calculated as permutation.
The permutation is given as ⇒ P = n!
Here we can 6 people to be assigned. Therefore n = 6.
⇒ Number of ways can be arranged = 6!
⇒ 6×5×4×3×2×1
⇒ 720
∴ The 6 people be assigned in 720 different ways to chair the subcommittees.
The <u>correct answer</u> is:
You can map ABC to A'B'C' by translating it 6 units left and reflecting it across the x-axis, which is a series of rigid motions.
Explanation:
In ABC, the coordinates are:
A(1, -3)
B(5, 3)
C(4, -1).
In A'B'C', the coordinates are:
A'(-5, 3)
B'(-1, -3)
C'(-2, 1)
Each point is mapped to its image:
A(1, -3)→A'(-5, 3)
B(5, 3)→B'(-1, -3)
C(4, -1)→C'(-2, 1)
Comparing the x-coordinates in the pre-image and image, we notice that the image has an x-coordinate that is 6 less than that of the pre-image:
1-6 = -5
5-6 = -1
4-6 = -2
This means that the figure must be translated 6 units left; that is the only way to have this change on the pre-image to form the image.
Comparing the y-coordinates of the pre-image with those of the image, we notice that they are negated:
-(-3) = 3
-(3) = -3
-(-1) = 1
This means the pre-image was reflected across the x-axis; this is the only way to negate the y-coordinate and not change the x-coordinate.
These are rigid motions because they do not change the shape or size, they simply move it and change its orientation.
