Answer:
The area of the circle is 113.0 ft²
Step-by-step explanation:
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 6ft
π = 3.14
a = π * r²
we replace with the known values
a = π * (6ft)²
a = π * 36ft²
a = 113.04ft²
The area of the circle is 113.04ft²
round to the nearest tenth
a = 113.04ft² = 113.0 ft²
Answer:
15)
17)
19)
21)
23)
Step-by-step explanation:
15)
17)
19)
21)
23)
Step-by-step explanation:
using Pythagoras a²+b²=c²
HOWEVER you know the hypotenuse
so it's rearranged to either c²-b²=a² or c²-a²=b²
so 13²-11²
so 169-121
this makes 48
square root 48 is 6.90 inches
this rounds up to <u>7</u><u> </u><u>Inches</u>
Answer:
Hence, 4 pounds of chocolates worth $1.5 a pound should be mixed to 10 pounds of chocolates worth 80 cents a pound to produce a mixture worth $1 a pounds.
Step-by-step explanation:
Let x denotes the number of chocolates that cost $1.5 a pound.
and y denotes the number of chocolates that cost 80 cents a pound.
We know that 1 cent=0.01 dollars.
80 cents=80×0.01=0.80 dollars.
we are given y=10
now we need to find 'x' using the above information by forming a linear equation.
1.5x+0.80y=1(y+x)
as y=10
1.5x+8=(10+x)
1.5x+8=10+x
1.5x-x=10-8
0.5x=2
x=2/0.5
<em>x=4</em>
Hence, 4 pounds of chocolates worth $1.5 a pound should be mixed to 10 pounds of chocolates worth 80 cents a pound to produce a mixture worth $1 a pounds.