The factors of 4x^2 +8x-5 are (2x-1) and (2x+5)
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
The perimeter is 72 because all sides on a square are the same measurements so you just have to do 18 times 4 to get 72
Answer:
) Compute the sample mean x and the sample standard deviation s.
Do NOT use a computer. You may only use +, –, ×, ÷, and on a calculator.
Show ALL work.
9
143.1
9
15.5 16.2 16.1 15.8 15.6 16.0 15.8 15.9 16.2 = = = ∑ + + + + + + + +
n
x
x
i
= 15.9.
x x 2 x x − x ( ) 2
x − x
15.5
16.2
16.1
15.8
15.6
16.0
15.8
15.9
16.2
240.25
262.44
259.21
249.64
243.36
256.00
249.64
252.81
262.44
OR
15.5
16.2
Step-by-step explanation:
The number is 1/6. 15 minus 3 = 12. 12 times 1/6 is 2
