Assume that the radius of the circle is 1.
The diagonal of the square is 2. By the Pythagorean Theorem, the side of the square of a right triangle will be 2/sqrt(2).
Finally, the ratio of the square to the circle, in area, will be
(2/sqrt(2))^2 : pi*(1)^2 = 2 : pi
We can conclude that the white area is about 35%.
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) =
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.
Answer:
15 Hours
Step-by-step explanation:
It takes 1.5 hours to build 1 birdhouse, so multiply 1.5×10 and you get 15 hours.
Answer:
45.2 × 10⁰ = 45.2 (a⁰ = 1 )
45.2 × 10¹ = 452
45.2 × 10² = 4520
45.2 × 10³ = 45200
Complete question:
Joelwants to buy a new tablet computer from a store having a 20% off sale on all tablet. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax.
Answer:
$159.60
Step-by-step explanation:
Given the following :
Sales tax = 5%
Percentage discount = 20%
Original cost = $190
Joel's incorrect expression : 0.95(190)(0.8)
Joel's mistake is the 0.95 which is equivalent to 95% used in Calculating the total cost of the computer. The sales tax increases the total cost of the computer and instead of subtracting 5% sales tax, it should be added.
B.) 20% discount = 0.2 will be deducted from 100%(1)
1 - 0.2 = 0.8
5% sales tax = 0.05 will be added :
1 + 0.05 = 1.05
Original cost = $190
Therefore,
Total cost : Original cost * sales tax * discount
Total cost = $190 * 1.05 * 0.8
Total cost = $159.60
