Answer:
i think is 2 but i am not sure
The answer is C=10
This is the Pythagorean theorem, it solves for the hypontunuse. Basically it tells you the missing sides length.
It’s really simple once you get the hang of it. The formula is
A^2+b^2=c^2
Plug in the side lengths you have (6 and 8)
6^2+8^2=c^2
36+64=c^2
100=c^2
DO NOT PUT 100 AS ANSWER
You then take the square root of 100, to get 10^2
The answer is 12cm because area (420) divided bye height (35) gives you the corresponding side 12cm.
The nth term of the arithmetic sequence is Tn = -7 + ( n - 1) 6
<h3>What is an arithmetic sequence?</h3>
An arithmetic sequence is defined as a sequence of numbers where the differences between every two consecutive terms is the same through out the sequence.
The nth term of an arithmetic sequence is expressed as;
an = a + ( n - 1) d
Where;
- a is the first term
- n is the number of terms
- d is the common difference
Substitute the values
an = -7 + ( n - 1) 6
Thus, the nth term of the arithmetic sequence is Tn = -7 + ( n - 1) 6
Learn more about arithmetic sequence here:
brainly.com/question/6561461
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Answer:
The father is 35years old and the son Tom is 15years old
Step-by-step explanation:
Let the father's be y
Let Tom's age be T
5 years ago:
The father's age is: y — 5
Tom's age:
T— 5.
But Tom's age was one third the father's age. This is written as:
T — 5 = 1/3(y — 5)
3(T — 5) = y — 5
3T — 15 = y — 5
3T — y = — 5 + 15
3T — y = 10 (1)
In 5years time:
The father's age is:
y + 5
Tom's age:
T + 5
But in 5years time, Tom will be half as old as his father. This is written as:
T + 5 = 1/2(y + 5)
2(T + 5) = y + 5
2T + 10 = y + 5
2T — y = 5 — 10
2T — y = — 5 (2)
Therefore, the equations are
3T — y = 10 (1)
2T — y = — 5. (2)
Solving by elimination method:
Subtract equation (2) from (1)
3T — y = 10
— (2T — y = — 5)
T = 15
Substituting the value of T into equation (1)
3T — y = 10
3(15) — y = 10
45 — y = 10
45 — 10 = y
y = 35
Therefore,
The father is 35years old and the son Tom is 15years old
