Step-by-step explanation:
1 m = 3.280839895... ft
therefore,
1 m² = 10.76391042... ft²
35 m² = 35 × 10.76391042... ft² =
= 376.7368646... ft²
the area of the circle is
pi×r²
r = 50/2 = 25 ft
so, the area of the red circle is
pi×25² = pi×625 = 1,963.495408... ft²
we need to paint it twice, so the area to be painted is twice the area of the circle
2×pi×625 = 3,926.990817... ft²
we need a many cans as the cover area of a single can fits into the total area to be painted :
3,926.990817... / 376.7368646... = 10.42369671... cans
we need to round this up to full cans.
so, we need 11 cans of red paint to give that red pad 2 coats of paint.
Answer: The length of the shortest piece is 16 inches
The length of the medium piece is
20 inches
The length of the longest piece is 25 inches.
Step-by-step explanation:
Total length of the party sandwich is 61 inches. This length is to be cut into three different pieces.
Let x= the size of the longest piece.
Let y = the size of the medium piece.
Let z = the size of the shortest piece.
The middle piece will be 4 inches longer than the shortest piece. This means that
y = z + 4 - - - - - - 1
The shortest piece will be 9 inches shorter than the longest piece. This means that
x = z +9 - - - - - - -2
Since total length of the party sandwich is 61 inches, it means that
x + y + z = 61 - - - - - - -3
We will substitute equation 1 and equation 2 into equation 3. It becomes
z + 9 + z + 4 + z = 61
13 + 3z = 61
3z = 61 - 13 = 48
z = 48/3 = 16
y = z + 4 = 16 + 4
y = 20
x = z + 9 = 16 + 9
x = 25
Answer:
A. proper fraction
Step-by-step explanation:
Improper fraction = 11/10
Proper fraction = 5/10
Mixed fraction = 1 2/10
Given:
The point is B(2,5) and its image is B'(1,2.5).
To find:
The scale factor.
Solution:
If a figure is dilated by the scale factor k and (0,0) is the center of then the scale factor is defined as
x-coordinate of point B' is 1 and the x-coordinate of point B is 2. So, the scale factor is
Therefore, the scale factor is 
and the correct option is D.
<span>The sash needs to be 184.912 cm. to equal 72.8 in.</span>
