Answer:
10
Step-by-step explanation:
What we know:
Perimeter=60
Perimeter formula=2l+2w
l=2w
This perimeter has the following set up using p=60 and l=2w:
perimeter =2(l)+2w
60=2(2w)+2w
60=4w+2w
60=6w
Now that we know how many w's we need to have we can use this information to find which equations have 6 w's and which one does not.
Look at the first equation:
2(2w+w)=60 distributive power
4w+2w=60 like terms
6w=60 correct
second equation:
w+2w+w+2w=60
6w=60 like terms, correct
third equation:
2w+2x2w=60 multiplication property
2w+4w=60 like terms
6w=60 correct
fourth equation:
w+2w=60 like terms
3w=60 not correct
Fourth equation is not correct.
1 nickel = 5 cents
1 dollar = 20 nickels
You can make 13 dollars plus 16 nickels left over
20 * 13 = 260
then 260 + 16 = 276
The 76th term is 86.
<h3>What is sequence?</h3>
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.
Given:
2, 3, 5, 6, 7, 10, …
The sequence consists of all natural numbers which are neither perfect squares nor perfect cubes.
We can as well sum the number of squares and cubes in the range with the number of the required term i.e
Number of squares = 8 ( 4,9,16,25,36,49,64,81)
Number of cubes = 2 (8 and 27; excluding 64 which is as well a square)
Required term = 75
So, 8+2+75 = 85.
Hence, the 85th term counting from 2 ( i.e 86) is the 75th term.
Learn more about sequence here:
brainly.com/question/16614966
#SPJ1
Answer:
θ=0,π/3,π,5π/3,2π
Step-by-step explanation:
cosθ sinθ-1/2 sinθ=0
sinθ(cos θ-1/2)=0
Either sin θ=0
θ=0,π,2π
or
cosθ-1/2=0
cos θ=1/2=cos π/3,cos(2π-π/3)
θ=π/3,5π/3
