The radius of the area the sprinkler has watered is 8.06 yards.
<h3>What is Rotation ?</h3>
Rotation is spinning around a fixed point with a fixed radius in circular motions.
It is given that a sprinkler rotates 360 degree
The area watered is 204 sq. yards
Radius = ?
A sprinkler rotates in circle
Therefore the area of the circle = π r²
204 = π r²
204 * 7 /22 = r²
r² = 64.91
r = 8.06 yards
Therefore the radius of the area the sprinkler has watered is 8.06 yards.
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Answer:
<h2>
perimeter of △SMP = 25</h2>
Step-by-step explanation:
The perimeter of the triangle △SMP is the sum of al the sides of the triangle.
Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.
Given LM=9, NR=16 and SR=8
NR = NP+PR
Since NP = PR
NR = NP+NP
NR =2NP
NP = NR/2 = 16/2
NP = 8
From △LSM, NP = PR = <u>MS</u><u> = 8</u>
Also since LM = MN, MN = 9
From △SRP, SR = RP = <u>PS = 9</u>
Also SR =<u> MP = 8</u>
From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
perimeter of △SMP = 8+8+9
perimeter of △SMP = 25
By definition, we have that the average rate of change is given by:

Substituting values we have:

Rewriting we have:



Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.
Answer:
graph shows a rate of change of 1/2 is the linear function
Answer: 40 unit²
Step-by-step explanation:
A square pyramid is composed of 1 square and 4 congruent triangles
STEP ONE. Find the area of the square.
A=b²
b=base
A=b²=4²=14
STEP TWO. Find the area of the triangle
A=(1/2)bh
b=base
h=height
A=(1/2)bh
A=(1/2)(4)(3)
A=(1/2)(12)
A=6
There are 4 congruent triangles, so 6×4=24
The surface area of whole=24+16=40 unit²
Hope this helps!! :)
Please let me know if you have any questions
Do rise over run and you should end up with 4 and 3 hope that help