Answer:
A. 3s
Step-by-step explanation:
The height of the object after t seconds is given by:
![h(t) = -16t^2 + 144](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%20144)
When will the object hit the ground?
It hits the ground after t seconds, and t is found when
. So
![h(t) = -16t^2 + 144](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%20144)
![0 = -16t^2 + 144](https://tex.z-dn.net/?f=0%20%3D%20-16t%5E2%20%2B%20144)
![16t^2 = 144](https://tex.z-dn.net/?f=16t%5E2%20%3D%20144)
![t^2 = \frac{144}{16}](https://tex.z-dn.net/?f=t%5E2%20%3D%20%5Cfrac%7B144%7D%7B16%7D)
![t^2 = 9](https://tex.z-dn.net/?f=t%5E2%20%3D%209)
![t = \sqrt{9}](https://tex.z-dn.net/?f=t%20%3D%20%5Csqrt%7B9%7D)
![t = 3](https://tex.z-dn.net/?f=t%20%3D%203)
3 seconds, so the correct answer is given by option a.
Answer:
3rd Option I think-
Step-by-step explanation:
Answer:
27.2 ft
Step-by-step explanation:
Let's set up a ratio that represents the problem:
Object's Height (ft) : Shadow (ft)
Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.
34 : 30
Find the unit rate:
The unit rate is when one number in a ratio is 1.
Let's make the Shadow equal to one by dividing by 30 on both sides.
Object's Height (ft) : Shadow (ft)
34 : 30
/30 /30
1.13 : 1
Now, let's multiply by 24 on both sides to find the height of the tree.
Multiply:
Object's Height (ft) : Shadow (ft)
1.13 : 1
x24 x24
27.2 : 24
Therefore, the tree is 27.2 feet tall.
Answer:
I dont understand your question but I'm going to assume that you want to add those numbers the answer would be 37 marbles in total
Answer:
The slope of the line is 2
Step-by-step explanation:
y=2x+1, compare it to the slope intercept form of a line, y=mx+c, the slope will be 2