If the diameter of the smaller circle is 3.5cm, that means the radius is 1.75cm.The area of the smaller circle is π × 1.75², which is ≈ 9.62112750162.
The diameter of the larger circle is 12.5 cm, so the radius would be half that, which is 6.25cm. The area of the larger circle would be π × 6.25², which is ≈ 122.718463031.
So now that we know the area of the larger circle and the smaller circle, we can find the area of the shaded region by subtracting the area of the smaller circle from the area of the larger circle, which is basically just 122.718463031 - 9.62112750162, which is = 113.097336. The closest answer here is 113.04, hence the answer is 113.04cm².
Answer: y=9
Step-by-step explanation:
Simplifying
7y = 3y + 36
Reorder the terms:
7y = 36 + 3y
Solving
7y = 36 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
7y + -3y = 36 + 3y + -3y
Combine like terms: 7y + -3y = 4y
4y = 36 + 3y + -3y
Combine like terms: 3y + -3y = 0
4y = 36 + 0
4y = 36
Divide each side by '4'.
y = 9
Simplifying
y = 9
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
The second one, because the price of the candle is $4, meaning the equation would have to be 4x+3=19
Answer:
option A
Step-by-step explanation:
