Answer:
y = 6
Step-by-step explanation:
in a 45-45-90 triangle, the hypotenuse is 
multiplied by the side across from the 45° angle
The maximum speed of a boat at 30 feet length of water is 0.093 nautical miles/hour or knots.
<u>Step-by-step explanation:</u>
- The equation for the maximum speed, s is given by s²= (16/9)x
- where, x is the length of the water line in feet.
It is given that, the modeled equation s²= (16/9)x is used to find the maximum speed in knots or nautical miles per hour.
The question is asked to find the maximum speed when the length of the water is 30 feet.
Therefore, to find the maximum speed in 30 feet water, the given modeled equation is used. So, substitute the 30 feet in place of x.
<u>Now, calculating the maximum speed :</u>
s² = (16/9)(30)
s² = 480 / 9
s² = 53.3
Taking square root on both sides,
s = √53.3
s = 7.3
The maximum speed of a boat at 30 feet length of water is 7.3 nautical miles/hour or knots.
Answer:
A, C and D
Step-by-step explanation:
Given
Required
Select 3 equivalent expressions
Express 3 as 2 + 1
Rewrite as:
Split
----- Option (A)
Express 10 as 14 - 4
Rewrite as:
--- Option (C)
Factor out 1/5
--- Option D
Answer:
Step-by-step explanation:
Given that lines 
and 
are parallel, that means that we can establish some basic angle relationships here.
Since both lines are cut by a transversal, that means all angles formed by that line will be equivalent.
and 
are going to be equivalent because they are alternate exterior angles. These are formed by two parallel lines being cut by a transversal, and they will always be equal.
Since we know that both angles are equivalent to each other, we can set the expressions equal to each other to find x.
<em>Here's your equation, by the way.</em>
<em />
We can now solve for x.
Add 33 to both sides:
Subtract 2x from both sides:
Therefore, x = 59.
Hope this helped!
The value of the variable x in the equation –x + 8 + 3x = x – 6 is - 14.
<h3>How to find variable in an equation?</h3>
The variables of an equation can be found as follows:
–x + 8 + 3x = x – 6
The variable in the equation is x.
Therefore,
–x + 8 + 3x = x – 6
combine like terms on the left side
-x + 3x + 8 = x - 6
2x + 8 = x - 6
subtract x form both sides of the equation
2x - x + 8 = - 6
x + 8 = -6
subtract 8 from both sides
x = -6 - 8
x = - 14
learn more on equation here: brainly.com/question/1347990
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