Answer:
The resulting graph is 
.
Step-by-step explanation:
The resulting function is of the form:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Amplitude, dimensionless.
- Midpoint value, dimensionless.
The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: 
. According to the graph, the function is bounded between 5 (
) and -5 (
), and the midpoint value () is 0. The amplitude is determined by the following calculation:
If 
and 
, then:
The resulting graph is .
Yes, that is the famous first Pythagorean triplet: 3²+4²=5²
or
For three lengths to be able to form a triangle, it suffices that every one of those lengths is shorter than the sum and longer than the difference of the other two.
It is enough to check just one side.
So,
3 + 4 > 5
4 - 3 < 5
Your triangle is constructible.
Answer:01 50 Hrs
Step-by-step explanation:
If the soldier started patrol at 2230 hrs and his petrol lasted for 3 hours and 20 minutes, that means he was on patrol for that time.
The time he finished was therefore:
= 2230 + 320
= 2550
At 24 you begin at 0:00am so:
= 2550 - 2400
= 150
Patrol ended at 0150 hrs
Answer: 3 to 2
Step-by-step explanation:
You simplify the ratio :)
Answer:
13 square units
Step-by-step explanation:
We need to find the distance between the points using the
Pythagorean Theorem, a² + b² = c²
(3,6) and (6,5); 6 - 3 = 3 and 6 - 5 = 1
3² + 1² = c²
9 + 1 = c²
c = √10
(6,5) and (5,1); 6 - 5 = 1 and 5 - 1 = 4
1² + 4² = c²
1 + 16 = c²
c = √17
√17 + √10 = 13.038
