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

4 years ago

(Worth 20 points) Triangle RST is similar to RVW

goldenfox [79]

12 mm is the correct answer

8 0

3 years ago

Read 2 more answers

STRUCTURE A quality control inspector at a bolt factory examines random bolts that come off the assembly line. All bolts being m

ELEN [110]

From an absolute value inequality, we have that:

The minimum diameter is 6.46 mm.
The maximum diameter is 6.54 mm.

The absolute value measures the <u>distance of a point or a function to the origin</u>.

One example of inequality is:

$|f(x)| \leq a$

Which has solution:

$-a \leq f(x) \leq a$

In this problem:

Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the <u>absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04</u>, that is:

$|D - 6.5| \leq 0.04$