Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
657 pounds
Step-by-step explanation:
Given
Represent the amount of fertilizer with x and the yield with y.
So, we have:
Required:
Determine the yield (y) when fertilizer (x) is 73ft^3
Using linear interpolation, we have:
Substitute the x and y values using
and ;
We have:
Open bracket
To solve for y when x = 73.
We simply substitute 73 for x
<em>Hence, the yield for 73 cubic feet is 657 pounds</em>
+ & -
X & divide
Hope this helps!
Answer:
Step-by-step explanation:
I'm assuming these are logs to the base 6
2 log6 x = 2
log6 x^2 = 2
So x^2 = 6^2
x = 6, -6.
