Answer:
781250 
Step-by-step explanation:
Let y is the length of the farm field
Let x is the width of the farm field
Given that, no fencing is necessary along the rock wall, so we can find the perimeter of the farm is:
2x + y = 2500 feet
<=> y = 2500 -2x
The are of the farm has the following formula:
A = x*y
<=> A = x(2500 - 2x)
<=> A = 2500x -2
To have the maximum area of field in square feet, we need to use differentials to estimate:
= 2500 - 4x
Set = 0, we have:
2500 - 4x = 0
<=> x = 625 feet.
=> y = 2500 - 2*625 = 1250 feet
So the maximum area of field is:
A = x*y = 625*1250 = 781250
The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.
<h3>What is law of cosine?</h3>
Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.
Then we have
7² + c² – (2 · 7 · c) cos 105° = 10²
c² + 3.62c – 51 = 0
On solving, we have
c = 5.56
Then the angle C will be
10² + 7² – 2 · 7 · 10 · cos C = 5.56²
149 – 140 cos C = 30.91
cos C = 0.8435
C = 32.49°
We know that
∠A + ∠B + ∠C = 180°
105° + ∠B + 32.49° = 180°
∠B = 42.51°
Learn more about law of cosines here:
brainly.com/question/17289163
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Answer:
A. 20%
Step-by-step explanation:
Hope it helps!
x^2 + 2x + 8
First, we'll try using the AC method.
(Because the degree of the quadratic is 2, there are two solutions.)
We cannot split the term using the AC method.
We'll instead use the quadratic formula.
Plug in values.
(-2 +/- √4 - 32)/2
(-2 +/- √-28)/2
(-2 +/- i√28)/2
(-2 +/- 2i√7)/2
(-1 +/- i√7)
<h3>x = (-1 + i√7)</h3><h3>x = (-1 - i√7)</h3><h3>The two values of x are found.</h3>
Answer:
=6/20
or 3/10
Step-by-step explanation:
3/4 ÷ 2 1/2
= 3/4 ÷5/2
using keep change flip
3/4 x 2/5
=6/20
or 3/10
