Answer:the 57th term is 78
Step-by-step explanation:
The sequence is an arithmetic sequence. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 6
d =3/2
n = 57
We want to determine the value if the 57th term, T57. Therefore,
T57 = - 6 + (57 - 1) ×3/2
T57 = - 6 + 56 × 3/2 = - 6 + 84
T57 = 78
Lengths of three sides are: 13ft, 18ft and 21ft.
Explanation:
Let shorted side = y
so,
second side = y + 5
Third side = 2(y) - 5
Parameter of triangle = 1st side length + 2nd side length + 3rd side length
52 = y + y+5 + 2y-5
52= 4y
y = 52/4 = 13 ft
So putting y in all three lengths we will get,
shortest side = 13 ft.
second side = 18 ft
Third side = 21 ft.
Answer:
1) Three increased by a number: 3+x
2) The sum of nine and eight: 9+8
3) Nine divided by a number: 9/x
4) The sum of nine and a number : 9+x
5) A number divided by 9: x/9
6) Nine less than a number: x-9
7) The product of nine and a number: 9n
Step-by-step explanation:
You have to match statements with their mathematical expressions.
I will match the statements with their mathematical forms.
1) Three increased by a number: 3+x
2) The sum of nine and eight: 9+8
3) Nine divided by a number: 9/x
4) The sum of nine and a number : 9+x
5) A number divided by 9: x/9
6) Nine less than a number: x-9
7) The product of nine and a number: 9n
Answer:
4 and 5
Step-by-step explanation:
4² = 16
5² = 25
16 ... 18 ... 25
