Answer: Area of circular plate is 36.5 square inches
Step-by-step explanation:
The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Circumference of circular plate = 21.4 inches. Therefore
2 × 3.14 × r = 21.4
6.28r = 21.4
r = 21.4/6.28
r = 3.41 inches
The formula for determining the area of a circle is expressed as
Area = πr²
Area of circular plate = 3.14 × 3.41² = 36.5 square inches
Answer: L = 29cm
Step-by-step explanation:
Let's go!!
To find any rectangle area, you have to apply this formula: A = L . w , where L is the length and w is the width.
So, we have w = L - 13 (the width is 13 less than the Length) and then, perimeter is 90 cm.
Well, I hope you remember that the perimeter of rectangle is 2L + 2W. In this case, 2L + 2w = 90
Then, you might to solve this system of equation:
2L + 2w = 90
w = L - 13
Simplifying the first equation, you'll have L + w = 45 (you can divide everything of 2).
Our new system:
L + w = 45
w = L - 13
Using the substituition method:
L + L - 13 = 45
2L = 58
L = 29 cm
the width is 29 - 13 = 16 cm
Answer:
10 hours, 30 minutes.
Step-by-step explanation:
Distance ÷ Speed = Time
525 ÷ 50 = 10.5
1. Write the equation:
d(-3 + x) = kx + 9
2. "Open" the parenthesizes:
-3d + dx = kx + 9
3. Take kx to the left side, -3d to the right, everything with different sign (+ replace with - when transferring, - replace with +):
dx - kx = 9 + 3d
4. Factor x in the left side:
x(d - k) = 9 + 3d
5. Finally, divide the whole equation by (d - k):
x = (9 + 3d)/(d - k)
That's the final answer. Good luck!
