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
2x + y = 92
The value of y in terms of x is equal to,
y = 92 – 2x
The area is the product of the two sides,
A = xy
Substituting,
A = x (92 – 2x) = 92x – 2x2
Solving for the derivative and equating to zero,
0 = 92 – 4x ; x = 23
Therefore, the area of the garden is,
<span> A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>
Answer:
$6400
Step-by-step explanation:
If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years?
First you want to find how much she will get each year.
Turn 4% into a decimal.
Which you have to move the decimal point over to spaces to the left.
4. ----- .4 ----- .04
Now that you have done that you need to multiply,
$80000 × .04
which is $3200.
Now you know she gets $3200 a year.
Now multiply $3200 by 20.
$3200 × 20
which is $6400.
She will get $6400 interest.
<h3>Answer:</h3>
11.70 miles
<h3>Explanation:</h3>
The road from Springfield to Orangeville is apparently the hypotenuse of a right triangle whose legs are x and x+5. The value of x can be found from the Pythagorean theorem:
... 9² = x² + (x+5)²
... 2x² +10x -56 = 0 . . . . . . eliminate parentheses, collect terms, subtract 81.
... x² +5x -28 = 0 . . . . . . . . divide by 2 (because we can)
... x² +5x +6.25 = 28 +6.25 . . . . add 28, then add (5/2)² to complete the square
... (x +5/2) = √34.25 . . . . . . . .take the positive square root
... x = -2.5 +√34.25 ≈ 3.352
The total distance via the old road is the sum of the leg lengths:
... x + (x+5) = 2x +5 = 2(3.352) +5 = 11.704 . . . . miles
It is 50. the angles on the side of ABC are the same as on ACD, where they are labelled. When you add the two angles on the other side together, the answer is 50 degrees.
<span> <em>The volume of a candle is 8 cubic inches. What is the volume of a similar candle that is larger by a scale factor of 1.5</em> ? - 841748.</span>