Answer:
knnnnndndnddndndn is a great place
Step-by-step explanation:
survey a specific amount of students and ask then if they spend les that 2 hours a night of studying or 2 or more hours a night studying.
Answer:
Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
Step-by-step explanation:
Another example of multiplying a Pythagorean triple is
Take the known Pythagorean triple 5, 12 and 13:
5 12 13 * 2 = 10 24 26
and 26^2 = 10^2 + 24^2
676 = 100 + 576 = 676
Answer:
11.5 m
Step-by-step explanation:
The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...
Tan = Opposite/Adjacent
The lengths of the adjacent sides of the triangle can be found by rearranging this formula:
Adjacent = Opposite/Tan
__
The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:
h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle
h(1/tan(25°) -1/tan(50°)) = 15
h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)
h ≈ 11.4907 . . . . meters
The height of the tree is about 11.5 meters.
To convert the decimal 0.928 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.928 = 0.928
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,
0.928
1
= (0.928 × 1000)
(1 × 1000)
= 928
1000
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(928,1000) = 8. So,
(928÷8)
(1000÷8)
= 116
125
when reduced to the simplest form.
