Answer:
<em>2a</em>
Step-by-step explanation:
Look at the numbers first: 12, 28, 42
12 = 2 * 2 * 3
28 = 2 * 2 * 7
42 = 2 * 3 * 7
The only factor all numbers have in common is 2.
GCF of numbers = 2
Now look at the variables: a^2b^6, a^4, ab^3
a^2b^6 = aabbbbbb
a^4 = aaaa
ab^3 = abbb
The only variable all expressions have in common is a.
GCF of variables = a
GCF of the three monomials is: 2a
The triangle on the left side has two legs of length 4 m and 6 m. It's a right triangle, so the hypotenuse has length √((4 m)² + (6 m)²) = 2√13 m. Only the 4 m leg and the hypotenuse count towards the shape's overall perimeter.
The rectangular part contributes 9 m from the top side and 9 m from the bottom one, thus a total of 18 m.
The half-circle has diameter 6 m (indicated by the dashed line, same as the height of the triangle on the left). A full circle with diameter <em>d</em> has circumference <em>πd </em>; a half-circle with the same diameter would then contirubte <em>πd</em>/2, or in this case, 3<em>π</em> m.
So, the total perimeter of the shape is
(4 m + 2√13 m) + 18 m + 3<em>π</em> m ≈ 38.6 m
Answer:
33254=3.3254*10^4
Step-by-step explanation:
You use the hint
Answer:
LP = 45
Step-by-step explanation:
MQ/NP = LQ/LP
= 9/27
= 1/3
if LQ is 15 and is 1u, LP (3u) is 15 × 3 = 45
Answer:
In this situation, the -4 represents that the -4 is a negative number so it is below the freezing point of water
Step-by-step explanation:
