The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3

3 0

3 years ago

After being exposed to electro magnetic shrinking machine Joe’s height decrease by 120 cm over 1.5 seconds is high decrease by t

AysviL [449]

Answer:

80cm/s

Step-by-step explanation:

120/1.5=80cm/s

can u pls mark as brainliest :)

7 0

3 years ago

A lock has a three number code made up of 17 numbers if none of the numbers are allowed to repeat how many different ways can yo

Marrrta [24]

Answer:

680

Step-by-step explanation:

Use the binomial coefficient where you choose $k=3$ numbers out of $n=17$ possible numbers and find the total amount of combinations since order does not matter:

$\displaystyle \binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{17}{3}=\frac{17!}{3!(17-3)!}\\\\\binom{17}{3}=\frac{17!}{3!(14)!}\\\\\binom{17}{3}=\frac{17*16*15}{3*2*1}\\\\\binom{17}{3}=680$

Thus, you can make 680 three-non-repeating-number codes

8 0

1 year ago