Answer:
32.35mm2
Step-by-step explanation:
3.21 squared is 10.3041
and Multiply 10.3041 by pi(3.14) to get 32.354
Answer:
360 minutes
Step-by-step explanation:
(1.5 h/wk)·(4 wk)·(60 min/h) = 1.5·4·60 min = 360 min
Multiply reading time per week by the number of weeks to get reading time. Multiply the number of hours by the number of minutes in an hour to get minutes.
Answer:
maximum height is 4.058 metres
Time in air = 0.033 second
Step-by-step explanation:
Given that the equation height h
h = -212t^2 + 7t + 4
What is the toy's maximum height?
Let us assume that the equation is a perfect parabola
Time t at Maximum height will be
t = -b/2a
Where b = 7 and a = - 212
t = -7/ - 212 ×2
t = 7/ 424 = 0.0165s
Substitute t in the main equation
h = - 212(7/424)^2 + 7(7/424) + 4
h = - 0.05778 + 0.115567 + 4
h = 4.058 metres
Therefore the maximum height is 4.058 metres
How long is the toy in the air?
The object will go up and return to the ground.
At ground level, h = 0
-212t^2 + 7t + 4 = 0
212t^2 - 7t - 4 = 0
You can factorize the above equation and pick the positive time t since time can't be negative
Or
Since we have assumed that it's a perfect parabola,
Total time in air = (-b/2a) × 2
Time in air = 0.0165 × 2 = 0.033 s
Answer:
The correct answer is 25
Step-by-step explanation:
It is given a quadratic equation,
x² – 8x = 9
<u>To find the number to be added</u>
The given equation be x² – 8x = 9
here we have to add (b/2)² - the square of half the coefficient of x,
Here b = -8
(b/2)² = (-8/2)² = -4² = 16
Add both side with 16
x² – 8x + 16 = 9 + 16
(x - 4)² = 25
(x - 4)² = 5²
Answer for this question: X < -20
