Circumference's formula is: 2πr
Since π is not added in the total (as it is 28π), just divide 28 with 2 to get r
28/2 = 14
The radius is 14
hope this helps
Answer:
2.33 Seconds
Step-by-step explanation:
The equation y = -6t^2 - 10t + 56 expresses the height of a ball at a given time, t, on the planet Mars. We are also given that the ball is thrown with a velocity of 10 feet per second with the initial height of 56 feet.
To find the amount of time to reach the ground, we can say that the time being found will be when the ball is on the ground, or when y = 0. So we simply set our equation to 0 and solve for t.
y = -6t^2 - 10t + 56
0 = -6t^2 - 10t + 56
0 = -1 (6t^2 + 10t + -56)
0 = -1 (3t - 7) (2t + 8)
(3t - 7) = 0 OR (2t + 8) = 0
3t = 7 OR 2t = -8
t = 7/3 OR t = -4
Since time will not be negative, we will want to choose the positive solution for this quadratic equation.
Hence, the amount of time for the ball to hit the ground will be 7/3 seconds or 2.33 seconds.
Cheers.
Answer:
(-3,3)
Step-by-step explanation:
Using elimination:
Multiply the first equation by 8 and the second by 5 which equals
40x+56y=48
-40-60y=-60
Now you add them together
40x+(-40x)=0 so that crosses out
56y+(-60y)= -4y
48+(-60)=-12
You now have -4y=-12
Divide by -4
y=3
Now plug in y to any of the equations
5x+7(3)=6
5x+21=6
Subtract 21 from both sides
5x=-15
Divide by 5
x=-3
Your final solution is (-3,3)
Answer:
1,800 bricks are needed
Step-by-step explanation:
First convert the Length and width of the sidewalk into inches
Entire Sidewalk: L= 100x12 =1200in and W= 4 x 12 = 48in
Then we know Area = LxW, so we will do this for both the sidewalk and the brick.
Area of sidewalk: 1200 x 48 = 57600
Bricks ( no need to convert since the measurements are already in inches): 8 x 4 = 32
Now we will divide the area of the entire sidewalk by the area of a single brick to find out how many bricks you need to complete the whole sidewalk:
57600/32= 1,800 bricks
Answer: n=8 cm
Step-by-step explanation:
You can solve this problem by applying the "Intersecting chords theorem". You must follow the proccedure below:
1. Let's represent each length, as below:
(P will be the point of intersection)
AP=4 cm
CP=6 cm
DP=3 cm
BP=n
2. Therefore, you have:
APxCP=BPxDP
APxCP=nxDP
3. Now, you must clear "n", as below:
n=APxCP/DP
4. When you substitute each value into n=APxCP/DP, you obtain:
n=(4 cm)(6 cm)/3 cm
n=24 cm²/3 cm
5. Finally, the result is:
n=8 cm
