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
Answer: the vertex is (12,−144)
Step-by-step explanation:
Answer: 13%
Step-by-step explanation:
Step 1:
5000
10% of 5000=500
5% of 5000=250
25%=500+500+250= 1250 rupees
so...
5000-1250= 3750 INR, which is the original price, <u>BEFORE THE 25% WAS ADDED</u>
but..
They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find 15%, because 25%-10%=15%
so if...
10%=500
5%=250
15%=750 INR
this means the price with the 10% discount off 25%= 4250 INR (5000-750)
now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added
e.g 4250-3750= 500INR
Then.. divide this price with the original price before the 25% was added
e.g 500/3750= 2/15=0.13
So...
Convert 0.13 into a percentage=13%
The PERCENTAGE PROFIT of the owner is 13%
P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you
