Answer:
The water is 208.22ft from the tug boat
Step-by-step explanation:
The governing equation is
y is the height above the ocean
x is the distance from the tugboat
if y= 6ft, the equation will now become
we can arrange this properly to form a quadratic equation by grouping like terms.
solving quadratically we have two values of x as 208.22ft and 0.873 ft.
We can take a more realistic value as a solution to our problems:
208.22ft
Answer:x = 60
Step-by-step explanation:
The given triangle is an equilateral triangle. This is so because all the angles are equal. This also means that all the sides are equal.
The sum of the angles on a straight line is 180 degrees. Assuming each angle of the equilateral triangle is y degrees, it means that
y + 2x = 180
y = 180 - 2x
The sum of the angles in a triangle is 180 degrees. It means that
y + y + y = 3y = 180
This means that
3(180 - 2x) = 180
540 - 6x = 180
6x = 540 - 180 = 360
x = 360/60 = 60
The answer i got was 31.4.... if that’s wrong i’m so sorry.
Answer:
y = - 8x + 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange y + 8x = 4 into this form
Subtract 8x from both sides
y = - 8x + 4 ← in slope- intercept form
with slope m = - 8
Parallel lines have equal slopes, thus
y = - 8x + c ← is the partial equation
To find c substitute (3, 4) into the partial equation
4 = - 24 + c ⇒ c = 4 + 24 = 28
y = - 8x + 28 ← equation of line
My solution to the problem is as follows:
sqrt(294) - sqrt(24) + sqrt(54)
= sqrt(49 * 6) - sqrt(4 * 6) + sqrt(9 * 6)
= sqrt(49)*sqrt(6) - sqrt(4)*sqrt(6) + sqrt(9)*sqrt(6)
= 7*sqrt(6) - 2*sqrt(6) + 3*sqrt(6)
= (7 - 2 + 3)*sqrt(6)
= 8*sqrt(6)
= sqrt(64)*sqrt(6)
<span>= sqrt(384)
= 8*sqrt(6)
Therefore, the answer is letter B, 8 square root of 6
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I hope my answer has come to your help. God bless and have a nice day ahead!