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
There are 5 x 10 = 50 different outcomes.
Of them only 3x10, 4x10, 4x9, 4x8, 5x10, 5x9, 5x8, 5x7 and 5x6 are greater or equal than 30. Those are 9 possibilities.
Then 50 - 9 = 41 are the possibilities that the product of the two numbers is less than 30.
The probalility, then, is 41/50 = 0.82
The area of the parallelogram with a height of 13cm and base 20cm is 260cm².
<h3>
How to find area of a parallelogram?</h3>
A parallelogram is simply a quadrilateral with two pairs of parallel sides.
The area of a parallelogram is expressed as;
A = base × height
Given the data in the diagram;
- Height of the parallelogram = 13cm
- Base of the parallelogram = 20cm
- Area of the parallelogram = ?
Plug the given values into the equation above and solve for A.
A = base × height
A = 20cm × 13cm
A = 260cm²
The area of the parallelogram with a height of 13cm and base 20cm is 260cm².
Learn more about parallelogram here: brainly.com/question/1563728
#SPJ1
Factor:
<span>30n - 40 = 10(3n - 4)
hope it helps</span>
