Answer:
D -- the last one
Step-by-step explanation:
The formula tells you what to do.
t = 3
A0 = 25
A(t) = ?
A(3) = 25 * (1/2)^3
A(t) = 25 * 1/8
A(t) = 25/8
A(t) = 3.125
Answer:
11.2467
Step-by-step explanation:
First we need to find the mean
Add up all the data and divide by number of points)
(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30
261/10
26.1
Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points
((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30
11.2467
Answer:
A.
and 
Step-by-step explanation:
Given:
Vertices of triangle RST are
and
.
Rotation is 90° about the center O(0,0). The rotation is counter-clockwise as the angle of rotation is positive.
Now, the co-ordinate rule for 90° rotation counter-clockwise is given as:
→ 
and
values interchange their places with
becoming negative when interchanged.
So,
→ 
→ 
→
⇒
→ 
Therefore, the image of the vertices are
and
.
<h3>
Answer: 125 m^3</h3>
Work Shown:
V = (area of base) * (height)
V = B*h
V = 25*5
V = 125 m^3
The volume of the prism is 125 cubic meters.