12 is 93.5 but I can’t see 10
Answer:
Part 1) The lateral area is
Part 2) The surface area is
so
lateral area = 210 cm2; surface area = 325.5 cm2
Step-by-step explanation:
Part 1) Find the lateral area of the regular hexagonal pyramid
The lateral area is equal to the area of its six triangular faces
so
we have
substitute
Part 2) Find the surface area of the regular hexagonal pyramid
The surface area is equal to the lateral area plus the area of the hexagonal base
so
where
B is the area of the hexagonal base
Find the area of the hexagonal base
The area of the regular hexagon is equal to the area of six equilateral triangles
we have
substitute
The surface area is equal to
Answer:
Width: 6 cm
Length: 9 cm
Step-by-step explanation:
Width: x
Length: x + 3
2(x)+2(x+3) = 30cm
2x + 2x + 6 = 30
4x = 30-6
x = 24/4
x = 6
Answer:
Answer D: 8.7 cm
Step-by-step explanation:
First compare the actual diameters of both cables to find out which one is larger. If we write both diameters in fraction form (as they are given), we need to have them expressed with the same denominator for a straight forward comparison:
Bundle A:
Bundle B:
So we multiply this last fraction by 2 in numerator and denominator to obtain the same denominator as for Bundle A without actually changing its numerical value:
So now we compare Bundle A with bundle B, and see that bundle B has the larger diameter: 22/8 inches
The hole has to be 25% larger than this larger diameter, so we estimate 25% of 22/8 in is:
inches
Therefore, the hole must be of diameter 22/8 in plus 0.6875 in = 3.4375 in
Now we convert this value into centimeters by multiplying it by 2.54 (since one inch is 2.54 cm):
3.4375 * 2.54 = 8.73125 cm
which rounded to the nearest tenth as requested in the problem is: 8.7 cm