300 miles is equal to 528,000 yards
Answer:
B. 15.4 ft
Step-by-step explanation:
this answer, without any formulas used, can be answered correctly and logically.
answer c, d and e are eliminated as the opposite side cant be greater than the hypotenuse.
now we have to find which is correct between a and b
the answer will be 'B' as the value of sine of an angle keeps increasing as the angle itself increases. thus, giving a bigger value of the opposite side (required height). as 15.4 ft.
mathematically,
sin65° = x/17
17 × sin65° = x
where x is height of the side of the building.
It would be 9 yards
If it is a square then each side is equal so 36/4=9
Answer:
![Perimeter =58](https://tex.z-dn.net/?f=Perimeter%20%3D58)
Step-by-step explanation:
Given
![AB = 24](https://tex.z-dn.net/?f=AB%20%3D%2024)
See attachment
Required
The perimeter of ABC
First, calculate the lengths of AC and BC.
From the attachment.
![Ax = Az =10](https://tex.z-dn.net/?f=Ax%20%3D%20Az%20%3D10)
![Cx = Cy = 5](https://tex.z-dn.net/?f=Cx%20%3D%20Cy%20%3D%205)
![By =Bz](https://tex.z-dn.net/?f=By%20%3DBz)
So, we have:
![AC = 10 + Cx](https://tex.z-dn.net/?f=AC%20%3D%2010%20%2B%20Cx)
![AC = 10 + 5](https://tex.z-dn.net/?f=AC%20%3D%2010%20%2B%205)
![AC = 15](https://tex.z-dn.net/?f=AC%20%3D%2015)
Also:
![Az + Bz = AB](https://tex.z-dn.net/?f=Az%20%2B%20Bz%20%3D%20AB)
![Az + Bz = 24](https://tex.z-dn.net/?f=Az%20%2B%20Bz%20%3D%2024)
Recall that: ![Ax = Az =10](https://tex.z-dn.net/?f=Ax%20%3D%20Az%20%3D10)
So:
![10 + Bz = 24](https://tex.z-dn.net/?f=10%20%2B%20Bz%20%3D%2024)
![Bz = 24 - 10](https://tex.z-dn.net/?f=Bz%20%3D%2024%20-%2010)
![Bz = 14](https://tex.z-dn.net/?f=Bz%20%3D%2014)
So, we have:
![By = Bz = 14](https://tex.z-dn.net/?f=By%20%3D%20Bz%20%3D%2014)
To calculate BC, we have:
![BC = 5 + By](https://tex.z-dn.net/?f=BC%20%3D%205%20%2B%20By)
![BC=5+14](https://tex.z-dn.net/?f=BC%3D5%2B14)
![BC = 19](https://tex.z-dn.net/?f=BC%20%3D%2019)
The perimeter is then calculated as:
![Perimeter = AB + BC + AC](https://tex.z-dn.net/?f=Perimeter%20%3D%20AB%20%2B%20BC%20%2B%20AC)
![Perimeter = 24 + 19 + 15](https://tex.z-dn.net/?f=Perimeter%20%3D%2024%20%2B%2019%20%2B%2015)
![Perimeter = 58](https://tex.z-dn.net/?f=Perimeter%20%3D%2058)
Answer: y = 3/2x + 4
Explanation:
When you count on the graph, you can see that you have to move three spaces up and 2 spaces to the right to get to the next point. So that means our slope of the equation is 3/2
When we look at the y axis, we can see that the line intercepts it at (0,4). That would make our y intercept 4
So the equation would be y = 3/2x + 4