Answer:
The ladder reach a height 8.485 ft.
Step-by-step explanation:
The ladder with the building made right angle triangle
The length of the ladder is the hypotenuse 12 ft.
The angle between the ladder and the building is 45°
The height of the ladder reach is the vertical side of the Δ
∴ h = 12 cos 45° = 6√2 = 8.485 ft.
Answer:
$1000
Step-by-step explanation:
We can form an equation for Clayton's account: C = 500 + 10x
We can form an equation for Clayton's account: J = 400 +12x
(where x is the number of days)
When the two accounts will contain the same amount, it means: C = J
<=> 500 + 10x = 400 +12x
<=> x =50
After 50 days, there accounts will be balance. Then, we substitue x into any of the 2 equation to find out the amount: 500 + 10(50) = $1000
Answer: 408.2 ft^2
Step-by-step explanation:
A=2πrh+2πr2
A=2(3.14)(5)(8)+2(3.14)(5)^2
A=6.28*40+6.28*25
A=251.2+157
A=408.2 ft^2
Perimeter= 2l+2w
126= 2l+2w
l=2w
Substitute the value for l
126= 2(2w)+2w
126= 4w+2w
126=6w
21=w
Plug the value for w in to find l
l=2(21)
l=42
Final answer: Length-42 ft, Width-21 ft
