Their are 6 equilateral triangles in a regular hexagon:
The area of one triangle = (x²√3)/4, then:
1st answer: The area of the hexagon base: is 6 TIMES the area of one equilateral triangle [or, needed for 2nd, question, TOT AREA:(6x²√3)/4] = (3x²√3)/2] unit²

2nd answer: :
Volume of pyramid: (base area)(height)/3
Volume of pyramid: (3x²√3).(3x)/3 (because height = 3x, given)
Then Volume of pyramid= 3x³√3 unit³.
3 is the answer for the second question
and 6 for the 1st

4 0

3 years ago

Two trains leave Raleigh at the same time one traveling north and the other south the first train travels at 50 miles per hour a

Elis [28]

Answer:

<h2>2.5 hours</h2>

Step-by-step explanation:

Step one:

given data

for train one

speed= 50miles per hour

for train two

speed= 60miles per hour

the total distance between both trains=275miles

Step two:

the expression for speed= distance/time

so that, distance= speed*time

let the time be t

we are going to combine both distances

train one distance =50t

train two distance =60t

Hence total distance

50t+60t=275

110t=1=275

t=275/110

t=2.5 hours

<u>It will take 2.5 hours</u>

4 0

2 years ago