Answer:
4 cm
Step-by-step explanation:
![\frac{8}{ST} = \frac{4}{2} \\\\ST = 8*2 / 4\\ST = 4](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7BST%7D%20%20%3D%20%5Cfrac%7B4%7D%7B2%7D%20%5C%5C%5C%5CST%20%3D%208%2A2%20%2F%204%5C%5CST%20%3D%204)
<u>Answer:</u>
H(G(x)) = 12x - 52
<u>Step-by-step explanation:</u>
We are given the following two functions:
![H ( x ) = - 6 x + 8](https://tex.z-dn.net/?f=%20H%20%28%20x%20%29%20%3D%20-%206%20x%20%2B%208%20)
![G ( x ) = 1 0 - 2 x](https://tex.z-dn.net/?f=%20G%20%28%20x%20%29%20%3D%201%200%20-%202%20x%20)
And we are to find the value of H(G(x)).
For that, we will apply the function of H on the function of G.
![H(G(x))=H(10-2x)](https://tex.z-dn.net/?f=H%28G%28x%29%29%3DH%2810-2x%29)
![H ( G ( x ) ) = - 6 ( 1 0 - 2 x ) + 8](https://tex.z-dn.net/?f=%20H%20%28%20G%20%28%20x%20%29%20%29%20%3D%20-%206%20%28%201%200%20-%202%20x%20%29%20%2B%208%20)
![H(G(x))=-60+12x+8](https://tex.z-dn.net/?f=H%28G%28x%29%29%3D-60%2B12x%2B8)
H(G(x)) = 12x - 52
Answer:
20
Step-by-step explanation:
25^2=15^2+x^2. x=20
Answer:
Step-by-step explanation:
<u>We know that:</u>
<u>Solution:</u>
- 30 kilometers = 1 hour
- => 30 x 21/2 kilometers = 21/2 hours
- => 15 x 21 kilometers = 21/2 hours
- => 315 kilometers = 21/2 hours
Hence, in 21/2 hours, the cyclist rides 315 kilometers.