Should be:
<span>The width of the compass needs to be set to equal the radius of the circle
................................................................................</span>
Answer:
yes. that is correct. so it would seem.
Answer:
420 cm²
Step-by-step explanation:
Given the width is x then the length is x + 8 ( 8 longer than width )
Given the perimeter = 90 cm
Sum the lengths of the sides stating at the top left corner and going clockwise
Noting that the indentation small part is 8 - x
x + 8 + x + x + 8 - x + 8 + x + x + 8 + x + x + 8 - x + 8 + x
= 6x + 48
Equating perimeters
6x + 48 = 90 ( subtract 48 from both sides )
6x = 42 ( divide both sides by 6 )
x = 7
Thus width = 7 cm and length = 7 + 8 = 15 cm
The figure is made of 4 rectangles, thus
area = 4 × (7 × 15) = 4 ×105 = 420 cm²
Answer:
F(1) represents the first term of the sequence.
Step-by-step explanation:
Let us suppose the sequence function
![F(n) = 16-3n](https://tex.z-dn.net/?f=F%28n%29%20%3D%2016-3n)
We can find the first term of the sequence by substituting n=1 in the function sequence
![F(1) = 16-3(1)](https://tex.z-dn.net/?f=F%281%29%20%3D%2016-3%281%29)
![= 16-3](https://tex.z-dn.net/?f=%3D%2016-3)
![=13](https://tex.z-dn.net/?f=%3D13)
We can find the 2nd term of the sequence by substituting n=2 in the function sequence
![F(2) = 16-3(2)](https://tex.z-dn.net/?f=F%282%29%20%3D%2016-3%282%29)
![= 16-6](https://tex.z-dn.net/?f=%3D%2016-6)
![=10](https://tex.z-dn.net/?f=%3D10)
We can find the 3rd term of the sequence by substituting n=3 in the function sequence
![F(3) = 16-3(3)](https://tex.z-dn.net/?f=F%283%29%20%3D%2016-3%283%29)
![= 16-9](https://tex.z-dn.net/?f=%3D%2016-9)
![=7](https://tex.z-dn.net/?f=%3D7)
So the first three terms of the sequence is:
13, 10, 7...
As the common difference is the same.
i.e. d = 10-13 = -3, d = 7-10 = -3
Hence, it is an Arithmetic sequence.
As the first term is 13, which can be obtained by putting n=1 in the function sequence.
Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.
Answer:
![90 \leqslant x \leqslant 150](https://tex.z-dn.net/?f=90%20%5Cleqslant%20x%20%5Cleqslant%20150)
Step-by-step explanation:
You need at least $90 dollars, so x will be bigger than or equal to that amount.
Your parents don't want to give you more than $150 dollars so x is smaller than or equal to that amount.