Answer:
C
Step-by-step explanation:
Answer: perimeter = 70.54 cm
Step-by-step explanation:
Perimeter of a shape is the distance around it.
Perimeter of the arc of the bigger semicircle is
π × r
= 3.14 × 7 = 21.98 cm
Perimeter of the arc of the smaller semicircle(handle) is
π × r
= 3.14 × 3 = 9.42 cm
Perimeter of the arc of the smallest semicircle(inner part of the handle) is
π × r
= 3.14 × 1 = 3.14 cm
Therefore, the perimeter of the shape would be
21.98 + 9.42 + 3.14 + 7 + 7 + 10 + 10 + 2 = 70.54 cm
Answer:
First and second box had 80 and 75 lb flour originally.
Step-by-step explanation:
Let the two boxes contained x lb and y lb of the flour respectively.
Both the boxes contained 155 lb of flour in total.
So the first equation will be,
x + y = 155 --------(1)
If the 20 lb of the flour is taken out then amount of flour in first box = (x - 20) lb
and added to the second box then flour in second box = (y + 20) lb
After the mixing of flour statement says that "the first box will contain
of the flour now in the second box."
For this statement equation will be

19(x - 20) = 12(y + 20)
19x - 12y = 380 + 240
19x - 12y = 620 ------(2)
Equation (1) × 12 + equation (2)
12(x + y) + (19x - 12y) = 155×12 + 620
31x = 1860 + 620
31x = 2480
x = 
x = 80 lb
from equation (1)
80 + y = 155
y = 155 - 80
y = 75 lb.
Therefore, first and second boxes had 80 lb and 75 lb of flour originally.
In your question, 45 is not a perfect square.
A perfect square is when you divide or multiply the number by itself.
36 is a perfect square because it's factor is 6 x 6 (6,6).
<span>64 is a perfect square because it's factor is 8 x 8 (8,8).
</span><span>81 is a perfect square because it's factor is 9 x 9 (9,9).</span>
20^2-12^2=x^2
400-144=x^2
256=x^2
x=16