We let x and y be the measures of the sides of the
rectangular garden. The perimeter subtracted with the other side should be
equal to 92.
<span> 2x + y = 92</span>
The value of y in terms of x is equal to,
<span> y =
92 – 2x</span>
The area is the product of the two sides,
<span>
A
= xy</span>
Substituting,
<span> A
= x (92 – 2x) = 92x – 2x2</span>
Solving for the derivative and equating to zero,
<span> 0
= 92 – 4x ; x = 23</span>
Therefore, the area of the garden is,
<span> A
= 23(92 – 2(23)) = 1058 yard<span>2</span></span>
The hypothesis is sometimes the if part in my opinion
Answer:
m∠b = 35°
m∠c = 145°
m∠ d = 35°
Step-by-step explanation:
To find m∠b, we use Definition of Supplementary Angles:
180 - (90 + 55) = 35°
To find m∠c, we also use Definition of Supplementary Angles:
180 - 35 = 145°
To find m∠d, we use Vertical Angles Theorem:
m∠b = m∠d = 35°
Speed of the jet = 460/2 miles/hour = 230 miles/hour.
In 9 hours, the jet can fly = 9×230 miles = 2070 miles.
This is the graph that the equation shows: