We know that the area of a circle has the formula A=πr²
We are given the diameter, and as we know that the diameter is twice the radius, we can divide the given diameter by 2.
27 ÷ 2= 13.5
Now, plug-in the number into the formula.
A=πr²
A=π×13.5²
A=π×182.25
(Assume π=3.14)
A=3.14 × 182.25
A=572.265
A=572.3 square meters.
Therefore, the area of the circle is 572.3 square meters.
Answer:
Step-by-step explanation:
5 miles = 8 km
<u>Then:</u>
<u>Then 27.4 miles is:</u>
<span>What is the next step in the proof? Choose the most logical approach. Statement: ∠1≅∠8 and ∠2≅∠7 Reason: Congruent Supplements Theorem Statement: m∠3+m∠4=180° and m∠7+m∠8=180° Reason: Linear Pair Theorem Statement: m∠3+m∠5=180° and m∠4+m∠6=180° Reason: definition of supplementary angles Statement: ∠7≅∠6 and ∠8≅∠5 Reason: Vertical Angles Theorem Done </span>
Answer:
$22.88
Step-by-step explanation:
The total bill is the subtotal plus tax. The tax is computed by multiplying the tax rate by the subtotal, which is the total of all items being billed.
subtotal = $5.25 +12.75 +2.99 = 20.99
tax = $20.99 × 0.09 = $1.89
The total bill is ...
subtotal + tax = $20.99 +1.89 = $22.88
Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
