Answer:
See Explanation
Step-by-step explanation:
Given
Required
Determine the weights that approximates to 41.3kg
The options are not given but the question is still solvable
In approximation:
0 - 4 approximates to 0
This implies that:
41.30 to 41.34 approximates to 41.3
Also:
5 - 9 approximates to 1
This implies that:
41.25 to 41.29 approximates to 41.3
Bring the range together, we have:
<em>Select any three numbers within this range, and you have your answer</em>
Examples are: <em>41.25, 41.28, 41.34</em>\
19.8m²
Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.
Side note: 2.7 comes from subtracting 3.6 off of 6.3.
Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²
Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²
Then you add the areas of both the rectangle and the triangle together.
14.4 + 5.4 = 19.8m²
Hey there!
To find the discriminant of an equation, you first need to identify the A, B, and C of your equation. You can do this by comparing your equation to the standard form.
Standard Form: ax² + bx + c
Equation: 3x² – 10x + 2
If you add 2 to both sides, you can get everything on one side and you can assure that all of your numbers are accurate.
A will be equal to 3, B will be –10, and C will be 2.
Now, you need to plug in those numbers into the discriminant equation:
b² – 4ac
If your discriminant is 0, there is one rational solution. If it's a positive perfect square, there are 2 rational solutions. If it's a positive non–perfect square, there will be 2 irrational solutions, and if it's a negative number, there will be 2 complex solutions.
Hope this helped you out! :-)
Answer:
the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year
Step-by-step explanation:
Given the data in the question;
Let us represent the number of cows at the farm with x and
each cow produces y gallons of milk
Total mil production will be T.
so
T = x × y
now, differentiating with respect to t
dT/dt = d( xy )/dt
dT/dt = xdy/dt + ydx/dt
given that;
x = 441
y = 1157
dx/dt = -13
dy/dt = 39
so we substitute
dT/dt = ( 441 )( 39 ) + ( 1157 )( -13 )
dT/dt = 17199 - 15041
dt/dT = 2158
Therefore, the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year
