Answer:
Step-by-step explanation:
Angle E is one-half the measure of the difference between arc CG and arc DF. Mathematically, that looks like this:
and
44(2) = 160 - DF and
88 = 160 - DF and
-72 = -DF so
DF = 72 degrees, second choice down
Answer:
The first expression can be rewritten as
35 {b}^{2} = 5 \times 7 \times {b}^{2}35b
2
=5×7×b
2
The second expression is rewritten as
15 {b}^{3} = 3 \times 5 {b}^{3}15b
3
=3×5b
3
The third expression is
5b = 5 \times b5b=5×b
The greatest common factor is the product of the least powers of the common factors.
First recall that a microsecond is 10^−6 seconds. Hence, one second = 10^6 microseconds, one hour = 3600000000 = 3.6 • 10^9 microseconds, one month (assume a month has 30 days) = 2592000000000 = 2.592 • 10^12 microseconds, and one century = 3110400000000000 = 3.1104 • 10^15 microseconds.
Row 1: f(n) = log n In this case, we need to determine the largest n such that log n ≤ 1000000. To solve this inequality, we need to rewrite the inequality as 2^logn ≤ 2^1000000 or n ≤ 2^1000000. Recall from lecture that 2^10 ≈ 10^3, thus we have that 2^1000000 = 2^10•100000 = (2^10)^100000 ≈ (10^3)^100000 = 10^300000. This is the result given in the textbook. For one hour, we have that n ≤ 2^3600•1000000 and thus n ≈ 10^1080000000.
Row 8: f(n) = n! For us to see that the largest sized input is 12 that can be processed within an hour when f(n) = n! one can simply, compute 12! And verify that it is less than the number of microseconds in one hour, but that 13! is greater than the number of microseconds in an hour.
Row 4: f(n) = n log n In this case, use Maple to solve equations like n log n−1000000 = 0. The Maple command for solving this equation is fsolve(n*log[2](n) - 1000000 = 0)
Answer:
the answer is 10,560 feet per minute
Step-by-step explanation:
(176* 60 seconds) / (1 second* 1 minute)
The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.
<h3>What is a polygon?</h3>
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.
Then the side length of the pentagon will be
5 x Side length = 21.8 cm
Side length = 4.36 cm
Then the area of the pentagon, rounded to the nearest tenth will be
Area of pentagon = 5 x area of triangle
Area of pentagon = 5 x 1/2 x 4.36 x 3
Area of pentagon = 32.7 square cm
Thus, the correct option is C.
More about the polygon link is given below.
brainly.com/question/17756657
#SPJ1
