Of your numbers listed, 29 and 41 are the lengths of the hypotenuse of a Pythagorean triple.

Those triples are
(20, 21, 29)
(9, 40, 41)

_____
The On-Line Encyclopedia of Integer Sequences (OEIS) lists the hypotenuses of primitive triples as sequence number A020882.

4 0

4 years ago

A father’s age now is three times the age that his son was 4 years ago. In

Mice21 [21]

Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.

4 years ago, the son was:

s-4

So, his father is currently:

3(s-4)

=

3s-12

Therefore:

f = 3s-12

In twelve years, the son will be:

s+12

And the father will be:

f+12

This can also be written as:

3s-12+12 as the fathers younger age would be f = 3s+12

=

3s

So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36

Son’s current age: 36

We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.

2(24)+24 = 72

Father’s current age: 72

7 0

2 years ago

Which equation can be used to find the length of ? (10)sin(40o) = AC (10)cos(40o) = AC = AC = AC

Jobisdone [24]

The answer:
ABC is a right triangle.
according to the figure, the length AC is the opposite side relative to the angle 40°,
for that, the main formula is

sin40° = opposite side / hypotenuse

opposite side =AC, and hypotenuse = 10 in

therefore, sin40° = AC / 10, and then AC = 10 sin40°
so for finding the value of AC, we can use AC = 10 sin40°

look at the image for more explanation

3 0

3 years ago

Read 2 more answers

Six people are in line to enter a museum. How many ways can the people be arranged in line?

Tresset [83]

You have to multiply 6*5*4*3*2*1 so it will be 720

7 0

3 years ago

Read 2 more answers