Answer:
n=2
Step-by-step explanation:
3n-7=3-2n
5n=10 (add 2n on both sides and also add 7 on both sides of the equal sign)
n=2
DUBS
Answer:
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Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)
The kangaroo's speed in feet per second is 58.67 feet per second
<h3>What was the kangaroo's speed in feet per second?</h3>
The speed is given as:
Speed = 40 mph
Rewrite properly as
Speed = 40 miles per hour
1 mile = 5280 feet
So, we have
Speed = 40 * 5280 feet per hour
Evaluate
Speed = 211200 feet per hour
1 hour = 3600 seconds
So, we have:
Speed = 211200 feet per 3600 seconds
Evaluate the quotient
Speed = 58.67 feet per seconds
Hence, the kangaroo's speed in feet per second is 58.67 feet per seconds
Read more about speed at:
brainly.com/question/4931057
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Answer:
Area of rectangular garden = lxb = 10*5
= 50 sq. inch
when area increases by six times
new area = 50*6 = 300 sq inches
now,
let x be increasement in both length and width
(5+x) (10+x) = 300
50 + 5x + 10x + x² = 300
x² + 15x - 250 = 0
x²+ 25x-10x -250 = 0
x(x+25) - 10 (x+25) = 0
( x-10) (x+25) = 0
either x + 25 =0
x = -25 length can be negative
0r x-10 = 0
x = 10
so 10 inches is increase on both side
Step-by-step explanation: