Answer:
The time it takes for the cannonball to hit the ground is 6.49 seconds.
Step-by-step explanation:
You know that the height of the cannonball above the ground, h, in meters, in time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t + 8.4. You want to calculate the time it takes for the cannonball to hit the ground, that is, the time it takes for the bullet to reach zero height. So, being h(t) = 0 you have:
0 = -4.9t² + 30.5t + 8.4
To solve a quadratic function 0=a*x² + b*x +c, the expression is applied:
In this case, being a = -4.9, b =30.5 and c =8.4 you have:
Solving you get:
t1= -0.26 seconds and t2=6.49 seconds
Since time does not have a negative value, then <u><em>the time it takes for the cannonball to hit the ground is 6.49 seconds.</em></u>
true because the square root is a number times itself and 4*4 is 16
Answer:
range of the test scores is 48
Step-by-step explanation:
60,72,94,108
108- 60=48
Answer:
i believe the answer in 3
Step-by-step explanation:
Answer:
1196cm³
Step-by-step explanation:
Step 1
Find the volume of the Rectangular Prism = Length × Width × Height
Length = 12 cm
Width = 20 cm
Height = 5 cm
Volume of a Rectangular prism = 12 × 20 × 5
= 1200cm³
Step 2
Volume of the Eraser
The Eraser has the shape of a box.
Volume = Length × Width × Height
Length = 0.5 cm
Width = 2 cm
Height = 4 cm
Volume = 4cm³
Step 3
Find the volume of the art box not taken up by the eraser
Volume of the art box not taken up by the eraser = Volume of the Art box - Volume of the Eraser
= 1200cm³ - 4cm³
= 1196cm³
Therefore, volume of the art box not taken up by the eraser is 1196cm³