There are 12 cars contesting a race. The first three cars completing the race will be awarded prizes. In how many ways can the p
1 answer:
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Answer:
See below ↓
Step-by-step explanation:
a. 4 ÷ (2/3) = 12/3 ÷ 2/3 = 12 ÷ 2 = 6
b. 4 ÷ 1 = 4
Attachment below.
You would use the formula for the specific term you wish to find;
The formula is:
a = starting value of the sequence
d = the common difference (i.e. the difference between any two consecutive terms of the sequence)
n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)
Un = the actual vaue of the the term
For example, if we have the arithmetic sequence:
2, 6, 10, 14, ...
And let's say we want to find the 62nd term;
Then:
a = 2
d = 4
(i.e. 6 - 2 = 4, 10 - 6 = 4, 14 - 10 = 4;
You should always get the same number no matter which two terms you find the difference between so long as they are both consecutive [next to each other], otherwise you are not dealing with an arithmetic sequence)
n = 62
And so:
The formula is:
a = starting value of the sequence
d = the common difference (i.e. the difference between any two consecutive terms of the sequence)
n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)
Un = the actual vaue of the the term
For example, if we have the arithmetic sequence:
2, 6, 10, 14, ...
And let's say we want to find the 62nd term;
Then:
a = 2
d = 4
(i.e. 6 - 2 = 4, 10 - 6 = 4, 14 - 10 = 4;
You should always get the same number no matter which two terms you find the difference between so long as they are both consecutive [next to each other], otherwise you are not dealing with an arithmetic sequence)
n = 62
And so:
The required length of the hypotenuse of the triangle is √19.
<h3>What is a right triangle?</h3>- A right triangle, sometimes known as a right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides.
To find the required length of the hypotenuse of the triangle:
Legs in the right triangle refer to the perpendicular and base.
Hypotenuse:
Therefore, the required length of the hypotenuse of the triangle is √19.
Know more about right triangles here:
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