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Alecsey [184]
3 years ago
13

when a cannonball is fired, the equation of its pathway can be modeled by h=-16t squared + 128t. find the time it will take for

the cannonball to reach the ground.
Mathematics
1 answer:
Rashid [163]3 years ago
5 0
At the time the cannonball reaches the ground, the vertical height of the cannonball from the ground is 0, i.e. h = 0.

Thus, the time it will take the cannonball to reach the ground is given by

-16t^2+128t=0 \\  \\ \Rightarrow t(-16t+128)=0 \\  \\ \Rightarrow t=0\ or\ -16t+128=0 \\  \\ \Rightarrow16t=128 \\  \\ \Rightarrow t= \frac{128}{16} =8

Therefore, it will take the cannonball 8 seconds to reach the ground.
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a rectangular block is such that the sides of its base are of the length x cm and 3x cm. The sum of all the lengths of all its e
Xelga [282]

Answer:

15x^2 - 12x^3

Step-by-step explanation:

A rectangular block has 3 parts that play into its volume.  length, width and height.  The question gives us length and width in the form of x and 3x, so height is what's missing.

It gives us a bit more information saying the sum of its edges is 20.  We also have to ask how many lengths, widths and heights are there.  That may be a bit hard to understand, but  is you are looking at a block I could ask how many edges are vertical, just going up and down.  These would be the heights.  There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.  

Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:

4*x + 4*3x + 4*height = 20

4x + 12x + 4h = 20

16x + 4h = 20

4h = 20 - 16x

h = 5 - 4x

Now we have h in terms of x, which lets us easily find the volume just knowing x.  To find the volume of a rectangular block you just multiply the length, width and height.

x*3x*(5-4x)

3x^2(5-4x)

15x^2 - 12x^3

Question doesn't give a specific value for x at all so you should be done there.  Any number you plug in for x should get you the right answer

5 0
3 years ago
Need help with 2 questions !!! It's congruent triangles!! will award brainliest, please help
Blizzard [7]

Answer:

Sorry about the first but I'm pretty sure the second one is MJT if that's what the question is asking.

Step-by-step explanation:


7 0
3 years ago
Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 4 or 8?
sveticcg [70]

There are 6 numbers on each die.

The total number of out comes is 6 x 6 = 36.


To get a sum of 4, the combinations are: 1 & 3, 2 & 2 or 3 & 1.

To get a sum of 8, the combinations are: 1 & 7, 2 & 6, 3 & 5, 4 & 4, 7 & 1, 6 & 2, 5 & 3


The total of those combinations are:  3  + 7 = 10 total combinations of a sum of either 4 or 8.


The probability of either is 10/36, which can be reduced to 5/18.

8 0
2 years ago
I need help with 1 and 3 please
schepotkina [342]
For #1
city A's mean would be 10.5, then you would divide it by the number of numbers there is which is 5,So 10.5/5 is 2.1

city B's mean would be 11.6  then you would divide it by the number of numbers there is which is 5, So 11.6/5 is 2.32.

thats all I have don't know how to do #3 sorry 
4 0
3 years ago
Which of the following is the solution set of -2|xl <-8
hram777 [196]

Answer:

X = 4

Step-by-step explanation:

-2 times any positive is a negative

X also can't be a negative

so -2 times 4 = -8

3 0
2 years ago
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