The aides of a right triangle will always satisfy the Pythagorean relationship ...
a² + b²= c²
We can take each of these and try it out:
(1) ... 10² + 24² = 100 + 576 = 676
√676 = <em>26 Yes</em>.
(2) ... 12² + 18² = 144 + 324 = 468
√468 = 21.6, not 20. <em>No.</em>
(3) ... 15² + 26² = 225 + 676 = 901
√901 = 30.017 Awfully close. As an engineer, I'll buy this one. <em>Yes.</em>
(4) ... 40² + 50² = 1,600 + 2,500 = 4,100
√4,100 = 64.03, not 80.<em> No.</em>
When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same
Answer:
X=40°
X=30°
X=50°
Step-by-step explanation:
Let our unknown angles be denoted by
Part I
We are given the sum of the angles as 70°, the known as 30° and the unknown as X;
To find X, we subtract the known angle from the sum as:
X=70°-30°=40°
Hence X= 40°
Part II
We are given the sum of the angles as 70°, the known as 40° and the unknown as X;
To find X, we subtract the known angle from the sum as:
X=70°-40°=30°
Hence X= 30°
Part III
We are given the sum of the angles as 80°, the known as 30° and the unknown as X;
To find X, we subtract the known angle from the sum as:
X=80°-30°=50°
Hence X= 50°
Answer:
(0,1)
Step-by-step explanation:
Let (0,3) lies on f(x), then:
Let
To find the corresponding point that lie on g(x), we substitute x=0
This implies that:
But f(0)=3
We substitute to get:
The required point is (0,1)