Answer:
Welder A has a better deal because for each hour welder A would charger $75 while welder B would charge $80
Welder A:
300/4 = $75
Welder B:
240/3 = $80
length=8 units
Step-by-step explanation:
- LET,
- A=16 units
- L=a units
- B=a-6 units
- L*B=A
- Replacing value of L with 'a'. and B with 'a-6',
- a(a-6)=16
- a*a-a*6=16
- a^2-6a=16
- a^2-6a-16=0
- a^2-8a+2a-16=0
- a(a-8)+2(a-8)=0
- (a-8)(a+2)=0
- Either,. a-8=0
- first value a=8
- Or,. a+2=0
- second value a=-2(Rejected due to negative)
- therefore, a=L=8
- Length=8 units
The window has a shape of a semi-circle (half of a circle).
We know the diameter d = 12 ft.
The area of a (complete) circle is given by the formula:
A = π × r²
The radius can be found by halving the diameter:
r = d ÷ 2
= 12 ÷ 2
= 6 ft
Therefore the area of the circle will be:
<span>A = π × r²
= 3.14 × 6</span>²
= <span>3.14 × 36
= 113.04 ft²
And the area of the semi-circle:
A = </span><span>113.04 </span>÷ 2
= 56.52 ft²
Hence, the area of the window will be 56.52 ft².
12%
The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.
Now, we follow the simple rules of percentage change
Increase divided by original times 100.
So, 60 divided by 500( not 700) times 100 = 12
