Answer
Find out the ratio of price to pound for each bag.
To prove
As given
A store sells grass seed in small bags and large bags.the small bags have 7 pounds of seed for $27.93 .
7 pound = $27.93
Now find out the cost for the 1 pound.
1 pound cost = $3.99
As given large bags cost $66.98.
Now find out pounds in the large bags.
Let us assume that the number of pounds in the large bags be x.
Than
3.99 × x = 66.98
x = 16.8 pounds (approx)
Now find out the ratio of price to pound for each bag.
As small bags weight = 7 pounds
Cost of the small bags = $27.93
As large bags weight = 16.8 pounds
Cost of the large bags = $66.98
Hence proved
Answer:
<h2>8.5555</h2>
Step-by-step explanation:
This number is not only larger, but also longer in digits than 8.5.
<h2>___________________________________________________</h2><h2><em>I AM ALWAYS HAPPY TO HELP :)</em></h2>
I would solve this using tangents. Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.
Now write the tangent ratios:
Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
Plug in what we know:
The distance between a point
on the given plane and the point (0, 2, 4) is
but since
and
share critical points, we can instead consider the problem of optimizing
subject to
.
The Lagrangian is
with partial derivatives (set equal to 0)
Solve for
:
which gives the critical point
We can confirm that this is a minimum by checking the Hessian matrix of
:
is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.
At this point, we get a distance from (0, 2, 4) of
Hi!
<h3>To do this, put the values in the equation. </h3>
-2 * 2 + 4 * 5 = -16
<h3>Solve</h3>
-4 + 20 = -16
<u>16 = -16</u>
<h2>(2,5) is not a solution of -2x+4y=-16</h2>
Hope this helps! :)
-Peredhel
