Answer:
<em>Approximation = 3 < x < 4 or -4 < x < -3</em>
<em>Exact Solution = 3.162 or -3.162</em>
Step-by-step explanation:
5x^2 - 24 = 26
<em>First add 24 to both sides....</em>
5x^2 = 50
Divide by 5...
x^2 = 10
Square root of 10 is exactly 3.162 or -3.162
Since 10 is not a perfect square, we can approximate it's square root by analyzing the perfect squares it is in between.
These perfect squares are 9 and 16
It looks like this:
We know that the square roots of these numbers are 3 and 4 so that leaves us with this...
Since we are dealing with square roots and perfect squares, we can also consider this as an option...
Answer:
20 minutes
Step-by-step explanation:
80% of 480 is 384
480 x .80 = 384
4.8 x 20 = 96
Answer:
In order to understand better this problem, we can use the<u> figure attached</u>, in which we have a<u> right triangle</u> (with a 90 degree angle), where is its hypotenuse, is the adjacent side to the angle of elevation from the boat to the top of the lighthouse and is the opposite side to .
Knowing this, we will use the tangent trigonometric function to find :
(1)
(2)
(3)
(4)
Finally:
Answer:
angle = 50
x = 6
Step-by-step explanation:
solution for angle:
180-(70+60) = 50
solution for x:
8x+2=50 (subtract 2 from both sides)
8x=48 (divide both sides by 8)
x=6