Answer:
42 macaroons hope this helps
Solving the quadratic equation we conclude that:
- The maximum height is 45ft.
- The rocket is 18 seconds in the air.
<h3>
How to get the maximum height of the rocket?</h3>
The height of the rocket is defined by the quadratic equation:
![d = 90t - 5t^2](https://tex.z-dn.net/?f=d%20%3D%2090t%20-%205t%5E2)
The maximum height is what we get in the vertex of the quadratic equation, such that for this quadratic equation, the vertex is at:
![t = -90/(2*-5) = 9](https://tex.z-dn.net/?f=t%20%3D%20-90%2F%282%2A-5%29%20%3D%209)
So the maximum height is what we get when we evaluate in t = 9:
![d = 90*9 - 5*9^2 = 45](https://tex.z-dn.net/?f=d%20%3D%2090%2A9%20-%205%2A9%5E2%20%3D%2045)
The maximum height is 45ft.
<h3>How to get the time in the air?</h3>
Now we need to solve the equation for the largest value of t:
![d = 90*t - 5t^2 = 0](https://tex.z-dn.net/?f=d%20%3D%2090%2At%20-%205t%5E2%20%3D%200)
Rewriting it, we get:
![0 = 90*t - 5*t^2\\\\0 = t*(90 - t*5)](https://tex.z-dn.net/?f=0%20%3D%2090%2At%20-%205%2At%5E2%5C%5C%5C%5C0%20%3D%20t%2A%2890%20-%20t%2A5%29)
The maximum solution is what we get when:
0 = 90 - t*5
t = 90/5 = 18
The rocket is 18 seconds in the air.
If you want to learn more about quadratic equations:
brainly.com/question/1214333
#SPJ1
Answer:
A and B
Step-by-step explanation:
a) -x+0+(-x)=0
Combine like terms.
-2x+0=0
Subtract 0 from both sides.
-2x=0
Divide both sides by -2.
x=0
b) -x-(-x)=0
Remove parentheses.
-x+x=0
Combine like terms.
0=0
Hope this helps :)
I assume you're trying to find either the amount of students that came or the amount from the beginning of the year. In order to do this 651*0.05= 32.55 (the amount of students that came(round it up)) To find the amount of students at the beginning of the year 651-32.55= 618.45 which would round down to 618. There were 33 students that came and 618 at the begging of the year.
651*0.05=32.55 651-32.55=618.45
Answer:
178 sq in
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, we know the formula for finding the area of a rectangle is B*H, and the formula for finding the area of a circle is πr^2
Let's find the area of a rectangle first:
25*6=150 sq in
Now the semicircles {which combined into one whole circle because they're two halves}:
The diameter is 6 inches, so the radius is 3 inches.
π(3)^2=9π
9*π=28.27 which can be rounded down to 28 sq in.
To fin the area of both, we would add them together:
150+28=178 square inches
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
Please, please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!