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:
y =
x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m =
and c = 9, thus
y =
x + 9 ← equation of line
Answer:
68
Step-by-step explanation:
Lets first find the quantity of tape the computing center is purchasing/month.
3/5 Of their 1600 dollar spending is on the heavy duty tapes, meaning they are spending 960 dollars/month on heavy duty tape, if we divide that by the original price, 40, it will give us the original quantity of heavy tape they are purchasing, 24/month.
The other 2/5 of their money, 640 dollars, are spent on regular tape, meaning they purchase 20 rolls of regular tape/month.
Given they are purchasing 24 rolls of heavy tape and 20 rolls of regular tape every month, we can simply multiple those by the new prices and sum the results.
24*38=912
20*31=620
912+620=1532
Then to find the money they are saving we subtract the new price from the original price.
1600-1532=68
<span>Inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.</span>
Answer:
the x intercept of the function graphed below us -8,0
Step-by-step explanation:
research