Answer:
42) 254.47 ft²
43) 56 pendants
Step-by-step explanation:
42)
The radius of a circle is equal to half of its diameter.
Diameter = 18 feet
Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 feet
Area of a circle = π 
Substitute in known value of r
Area = π 
Substitute in pi
Area = 3.14 *
Solve exponent
Area = 3.14159265359 * 81
Area = 254.4690049408
(Rounds to 254.47)
254.47 ft²
43)
1.5 ounces per pendant
3 pieces of silver:
pounds
14 ounces
pounds
Convert to improper fractions (1 lb = 16 ounces)
pounds
pounds
pounds
Find a common denominator for the fractions
pounds
pounds
pounds
Add
+ +
pounds
Find how many pendants can be made out of this amount
pounds
Convert back to ounces (1 lb = 16 ounces)
84 ounces
Amount to make one pendant:
ounces
Convert to decimal
1.5 ounces
Divide 84 by amount of silver per pendant
84 ÷ 1.5
56
The maximum number the pendants that the manufacturer can make is 56
Hope this helps :)
Answer:
we know that
A recipe that yields 12 cups of soup calls for 28 ounces of beef broth
so
by proportion
Find the ounces of beef broth needed to make 18 cups of soup
\frac{28}{12} \frac{ounces}{cups} =\frac{x}{18} \frac{ounces}{cups} \\ \\12*x=18*28\\ \\x=18*28/12\\ \\x=42\ ounces
therefore
the answer is
42\ ounces
Step-by-step explanation:
Given:
Player 1 is at (-7,5).
Player 2 is at (7,5).
To find:
The relationship between the positions of the two players.
Solution:
The two points are (-7,5) and (7,5).
Here, x-coordinates are different but y-coordinates are same. The absolute values of x-coordinates are equal but the signs are different.
The transformation is defined as
It means, the points are mirror image of each other with respect to y-axis.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Therefore, the correct option is C.
Answer:16
Step-by-step explanation:
