Question 1:
The area of a regular hexagon knowing one of its sides by definition is given by:
A = (3 * root (3) * L ^ 2) / (2)
Substituting values we have:
A = (3 * root (3) * (10) ^ 2) / (2)
A = 259.8076211
Rounding off we have:
A = 259.8 squeare feet
Answer:
the area of the floor is:
A = 259.8 squeare feet
option B
Question 2:
We search the are of each sector separately:
For Den:
A1 = (16) * (16)
A1 = 256
For Entrance:
A2 = (4) * (4)
A2 = 16
For Kitchen:
A3 = (12) * (6) + (6) * (6)
A3 = 72 + 36
A3 = 108
The total area is:
A = A1 + A2 + A3
Substituting:
A = 256 + 16 + 108
A = 380 square feet
Answer:
A = 380 square feet
option F
Question 3:
For this case we look for the area of the two shaded triangles.
We have then:
Triangle 1:
A1 = (1/2) * (3) * (4)
A1 = 6
Triangle 2:
A2 = (1/2) * (3) * (4 + 5)
A2 = 13.5
The area of the shaded region is the sum of the areas:
A = A1 + A2
Substituting:
A = 6 + 13.5
A = 19.5 square units
Answer:
A = 19.5 square units
option D
Question 4:
The area of the parallelogram by definition is:
A = (b) * (h)
Where,
b: base
h: height
Substituting values we have:
A = (15) * (15 + 6)
A = 315 square centimeters
Answer:
A = 315 square centimeters
option J
Answer:
x=-2
Step-by-step explanation:
5^(9-6)=125
5^3=125
1,2,3,4,6,9,12,18 and 36. 1,2,3,6,9,18,27, and 54 .Although the numbers in bold are all common factors of both 36 and 54 ,18 is the greatest common factor. The second method to find the greatest common factor is to list the prime factors, then multiply the common prime factors
Step-by-step explanation:
Given
f(x) = |x + 2|
g(x) = - (x)²
Now
(g•f) (3) = g ( 3 + 2 )
= g(5)
= - (5)²
= -25
Hope it will help :)
Answer: Choice (3):
Remember that negative power is the same as reciprocal if the same magnitude power but positive.