Answer: 4236
Step-by-step explanation: I used a calculator. If it's wrong, tell your teacher/instructor.
Answer:
60%
Step-by-step explanation:
percent of green marbles = (total number of green marbles / total number of marbles in the bag) x 100
total number of marbles in the bag = 30 + 20 = 50
30 / 50 x 100 = 60%
tan(40) = (y + 1.5) / (x + 20)
y + 1.5 = (x + 20)[tan(40)]
y = (x + 20)[tan(40)] - 1.5
tan(60) = (y + 1.5) / x
y + 1.5 = (x)[tan(60)]
y = (x)[tan(60)] - 1.5
(x)[tan(60)] - 1.5 = (x + 20)[tan(40)] - 1.5
(x)[tan(60)] = (x + 20)[tan(40)]
(x)[tan(60)] = (x)[tan(40)] + (20)[tan(40)]
(x)[tan(60)] - (x)[tan(40)] = (20)[tan(40)]
(x)[tan(60) - tan(40)] = (20)[tan(40)]
x = [(20)(tan(40))] / [tan(60) - tan(40)]
x = 18.8 meters
The area of a triangle is

. solving for h (height) we get:
<u>Answer</u>
−1 + i times the square root of 7
<u>Explanation</u>
x² + 2x + 8
I will use the complete square method to find the value of x.
x² + 2x + 8
x² + 2x = -8
x² + 2x + (2/2)² = -8 + (2/2)²
x² + 2x + 1 = -7
(x + 1)² = -7
x + 1 = √(-7)
x = √(-7) - 1
= i√7 - 1
= -1 + i√7
<em>−1 + i times the square root of 7
</em>