Answer:
15.5
Step-by-step explanation:
Answer:
Let us say x is a real number and z = a + ib is complex
|x| > 0
|z| = |a + ib| = square-root (a^2 + b^2)
Step-by-step explanation:
|x| > 0 the absolute value of a real number is a nonnegative real number
The |a + ib| = square-root of the sum of the squares of the real components of the complex number
Answer:
9 (2 a - 3)^2
Step-by-step explanation:
Simplify the following:
(6 a - 9)^2
Hint: | Factor out the greatest common divisor of the coefficients of 6 a - 9.
Factor 3 out of 6 a - 9:
(3 (2 a - 3))^2
Hint: | Distribute exponents over products in (3 (2 a - 3))^2.
Multiply each exponent in 3 (2 a - 3) by 2:
3^2 (2 a - 3)^2
Hint: | Evaluate 3^2.
3^2 = 9:
Answer: 9 (2 a - 3)^2
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
Answer:
y = 175. x = 300. Disney vacation is 300 sold. Cars sold were 175.
Step-by-step explanation:
They want to raise $80,000. There are a total of 475 tickets.
150x + 200y (Disney Vacation + Win a car) = 80,000
x + y = 475.
__
y=475-x
150x+200(475-x)=80000
150x+95,000-200x=80,000.
-50x + 95,000 = 80,000.
-50x = -15,000
x = 300.
Disney vacation is 300 sold.
300 + y = 475.
y = 175.
Cars sold were 175.
Additional Info:
I am 14 years old and I'm learning solving the systems by elimination and substitution, etc. Hope this is the correct answer.
