Step-by-step explanation:
Here is the answer for your question
38.4? Since if she runs 24 feet in five seconds add that two times she would run 48 feet in ten second so.. divide 24 with 5 and get 4.8. So 48 minus 9.6 makes 38.4.
Answer:
tanA = sinA / cosA = 3/5 / 4/5 = 3/4.
Answer:
![BD = 30](https://tex.z-dn.net/?f=BD%20%3D%2030)
Step-by-step explanation:
Given
![AB = 17](https://tex.z-dn.net/?f=AB%20%3D%2017)
![AC = 16](https://tex.z-dn.net/?f=AC%20%3D%2016)
See attachment
Required
Find BD
If AC = 16, then:
i.e. half the diagonal AC
![AO = 8](https://tex.z-dn.net/?f=AO%20%3D%208)
The diagonals of a rhombus are perpendicular.
This implies that we can apply Pythagoras theorem.
Using Pythagoras theorem on triangle AOB, we have:
![AB^2 = AO^2 + OB^2](https://tex.z-dn.net/?f=AB%5E2%20%3D%20AO%5E2%20%2B%20OB%5E2)
![17^2 = 8^2 + OB^2](https://tex.z-dn.net/?f=17%5E2%20%3D%208%5E2%20%2B%20OB%5E2)
![289 = 64 + OB^2](https://tex.z-dn.net/?f=289%20%3D%2064%20%2B%20OB%5E2)
Collect like terms
![OB^2 = 289 - 64](https://tex.z-dn.net/?f=OB%5E2%20%3D%20289%20-%2064)
![OB^2 = 225](https://tex.z-dn.net/?f=OB%5E2%20%3D%20225)
Take positive square roots of both sides
![OB = 15](https://tex.z-dn.net/?f=OB%20%3D%2015)
To solve for BD, we use:
--- i.e. half the diagonal BD
![BD = 2 * OB](https://tex.z-dn.net/?f=BD%20%3D%202%20%2A%20OB)
![BD = 2 * 15](https://tex.z-dn.net/?f=BD%20%3D%202%20%2A%2015)
![BD = 30](https://tex.z-dn.net/?f=BD%20%3D%2030)
Step-by-step explanation:
y=2x-5 is in y=mx+b
Where m = slope
![slope = m = 2](https://tex.z-dn.net/?f=slope%20%3D%20m%20%3D%202)
To find y-intercept :
![y = 2x - 5](https://tex.z-dn.net/?f=y%20%3D%202x%20-%205)
Let x =0
![y = 2(0) - 5 \\ y = 0 - 5 \\ y = - 5](https://tex.z-dn.net/?f=y%20%3D%202%280%29%20-%205%20%5C%5C%20y%20%3D%200%20-%205%20%5C%5C%20y%20%3D%20%20-%205)