A board 109 cm long has to be cut into two pieces so that the longer part is 10 cm more than twice as long as the shorter part.
1 answer:
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In the given equation, as the value of <em>y</em> increase, the value of <em>x</em> also
increases.
- Yes, 4·y = 16·x is a direct variation
Reasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where <em>k</em> is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;
Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
Learn more about direct variation here:
Answer:
<BCA = 44.4°
Step-by-step explanation:
Reference angle = <BCA = C
Opposite side length = x = 7 cm
Hypotenuse = y = 10 cm
Applying trigonometric ratio, we would have:
<BCA = 44.4° (to 3 SF)