The dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Measurement is a branch of mathematics used in determining the area and volume of an object.
From the question,
Let the length of the two rectangular corrals be x
Let the length of the three fence section be y
Note that the area of the rectangle A = length * width
A = xy .....1
Also, since the rectangular corrals are to be made from 100 yd, then;
3x + 2y = 100 ..... 2
Divide through by 2
3x/2 + 2y/2 = 100/2
1.5x + y = 50
y = 50 - 1.5x .... 3
Substitute equation 3 into 1 to have:
A = x(50-1.5x)
A = 50x - 1.5x²
Since the total area is to b maximized, this means that:
dA/dx = 0
dA/dx = 50 - 3.0x
0 = 50 - 3x
3x = 50
x = 50/3 yards
Substitute the value of x into equation 3:
y = 50 - 1.5x
y = 50 - 1.5(50/3)
y = 50 - 25
y = 25yards
Hence the dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Learn more here: https://brainly.com/question/10369514
The coordinates of the vertices of ABC are A(-5, 2) B(-2, 4), and C(-4, 7). What are the coordinates of the image of A after the translation (x, y) = (x+6, y-5)?
Translation will reduce x coordinate by 2: (0,4), (5,6) and (3,2)
Rotation 90 CCW will change (x,y) to (-y,x): (-4,0),(-6,5),(-2,3)
Can any body help me and no links
Answer:
C
Step-by-step explanation:
7.67 is greater than 7.66666...
The ratio of boys to girls at Louisiana Middle School is 3:5. There are currently 1,600 students enrolled. How many students at Louisiana Middle School are boys?
ILL GIVE THE BRAINLIEST pls help me with this question just tell me which one is the right answer you can show your work if you want to you don't have to EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY
Answer:
ans is 504m²
Step-by-step explanation:
given = side of square=18m
height of triangle=12m
formula= surface area of square + surface area of 4 triangles
surface area of square = 4 × length
= 4×18
=72m²
surface area of triangle = 1/2×base ×height
= 1/2×18×12 ( the base lies on the side of the squre so the base is also 18m)
= 108m²
therefore, surface area of 4 triangles = 4×108=432m²
therefore the surface area of the given figure= surface area of aquare + surface area of the 4 triangles
surface area of square= 72 +432
=504m²
Blake gives plano lessons in the evenings. He earns $20 for each plano lesson and has between 0 and 6 lessons each evening. The amount he
earns in an evening depends on the number of lessons he gives. What is the range of this relation?
A. {0, 20, 40, 60, 80, 100, 120)
B.Osys 120
C. {0, 1, 2, 3, 4, 5, 6)
D. O sys 6
WILL GIVE BRAINLIEST
Answer:D
Step-by-step explanation:
Answer:
A. {0, 20, 40, 60, 80, 100, 120)
Step-by-step explanation:
:)
What is the equation of the circle, with center (4, 2) and radius 5 units?
Answer:
Step-by-step explanation:
Let us begin by just getting the equation of the circle first.
(x - 4)^2 + ( y - 2)^2 = 5^2
(x - 4)^2 + ( y - 2)^2 = 25
Now I'm going to graph that equation and discuss it here.
I have graphed the second equation above.Notice that the center is at (4,2) just as the question requested.A second point was put at (4,7). That was to show you that the radius is 5 units. You can calculate that it is 5 units by noticing that 7 - 2 = 5 So the distance from the center to (4,7) is 5 units which is the amount of the radius.Notice that the numbers representing the center have been reversed in sign. That is always done for a circle. The center's coordinates are always the negative of the coordinates given. You will be told why later.Factor out the greatest common factor
Answer:
7x
Step-by-step explanation:
7x(5x-7)
brainliest pls!
Answer:
7x
Step-by-step explanation:
If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible value of the difference $a.b - c.d$ ?
Answer:
Correct answer is 18.3Dollar replacement 70Step-by-step explanation:
Correct answer
Given that a, b, c, and d are different numbers (from 1 to 9), we are to find the largest possible value of a.b + c.d.
This problem can be answered by trial and error and with some logic. Clearly, a to d cannot be at the lower end of the values (1 to 5). Since the digits must be different, it can be a combination of digits from 6 to 9.
It is rather tempting to say that the 9.8 + 7.6 would yield the highest possible sum (=17.4) but this is incorrect. Since it is the sum of two numbers with a decimal, we have to maximize on the one-digit first before maximizing the tenths digit. Therefore: the combination of numbers must then be:
9.7 + 8.6 which results to 18.3
9.6 + 8.7 yields 18.3 as well.
Dollar replacement
For the value of the difference to be largest, the minuend should be maximum(most possibly) and the subtrahend should be minimum
[in A-B=X, A is minuend and B is subtrahend ]
So, $a.b should be the maximum. as there is a condition that 4 digits should be distinct, the product will be maximum if we choose 2 maximum valued numbers from the given numbers. so, one of them should be 9 and the other should be 8.
Therefore, $a.b=9*8=72
As mentioned above, c.d$ should be minimum. this will be possible only when we choose 2 minimum valued numbers from the given numbers. so, one of them should be 1 and the other should be 2.
Therefore, c.d$ = 1*2 = 2
Hence, the difference = 72-2 = 70
Thus, the largest possible value of the difference $a.b - c.d$ = 70
Answer:
8.6
Step-by-step explanation:
The units digits matter most, so we make a as large as possible (a=9) and make c as small as possible (c=1). Then we can use any of the digits from 2 through 8. We still want b as large as possible and d as small as possible so we set b=8 and d=2. This gives a maximum possible difference of 9.8 - 1.2 = 8.6.
I hope this helped!
help me with this man
Answer:
Point J - Quadrant I
Point F - Quadrant II
Point P - Quadrant III
Point T - Y-axis
Step-by-step explanation:
Answer:
F: Quadrant II
J: Quadrant I
P: Quadrant III
T: y-axis
Step-by-step explanation:
Brainliest Please!!
Please HELP FAST!!!!
Answer: b
Step-by-step explanation:
<4 and 45 are alternate interior
angles. Find the measure of 4
Answer:
115%
Step-by-step explanation:
5 is completely irrelevant, Vertical angles are congruent.
Cecil and three friend ran 15-mile relay race. Each friend ran an equal distance. What distance did each friend run?
Answer: Each friend ran 3.75 miles.
Step-by-step explanation:
Cecil and three friends is equal to 4 people. There are fifteen miles in the full relay. 15 divided by 4 is equal to 3.75.
15/4=3.75
So, the answer is each friend ran 3.75 miles.
someone answer this correctly please!!
Answer:
8 < [tex]\sqrt{71}[/tex] < 9
Step-by-step explanation:
You need to find the perfect squares above and below 71
8*8= 64
9*9 =81
8 < [tex]\sqrt{71}[/tex] < 9
Angle A and B are congruent angles.•The measure of angle
A = 8x + 9•The measure of angle
B = 41 + 4xSolve for x.
A.8
B.2.6
C.12.5
D.4
Answer:
x = 8
Step-by-step explanation:
8x + 9 = 41 + 4x
4x = 32
x = 8
Is the formula V=LWH or V=BH or A=BH
PLEASE HELP!
Answer:
It's A=BH
Step-by-step explanation:
In the story the key words are there: Area, base/length, height
Answer:
It's A=BH
Step-by-step explanation:
N
A wheel of diameter 49 cm made some complete turns and covered a distance of
924 cm. How many complete turns did it make? (Take T = ..)
22
49 cm
-924 cm
Card
22
Answer:
6turns
Step-by-step explanation:
Circumference= 1turn
Circumference=πd
22/7 × 49
=154cm
1turn =154cm
?=924cm
924÷154=6turns
Click the score on the graph where you think the
balancing point would be for this data.
Answer:
The balancing point is 23
Step-by-step explanation:
Given
The above graph
Required
Determine the balancing point
This simply means that we calculate the mean.
From the above graph, we have:
[tex]\begin{array}{cc}x & {f} & {21} & {3} & {22} & {5} & {28} & {1} & {29} & {1}\ \end{array}[/tex]
So, the mean is:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
[tex]\bar x = \frac{21*3+22*5+28*1+29*1}{3+5+1+1}[/tex]
[tex]\bar x = \frac{230}{10}[/tex]
[tex]\bar x = 23[/tex]
Hence, the balancing point is 23
Please help I need answer ASAP
Answer:
A. The length is 1.5 inches and the width is 1 inch.
Step-by-step explanation:
If we assume the two scale factors are related, then 1:10 is half of 1:20, so half of 3:2 is 1.5:1.
PLEASE HELPPPP
Simplify: 2/3 -(6 + 3x) + 3 (x - 1)
Answer:
-25/3, or - 8 1/3
Step-by-step explanation:
many steps
2/3 + - (6+3x)/1 +3 (x-1)
- (6+3x)/1 *3/3* 2/3+ -(6+3x)/1 * 3/3 + 3 (x-1)
- (6+3x/1* 3/3* 2/3+ -(6+3x)*3/3 +3(x-1)*3/3
2-(6+3x)*3+3(x-1)*3/3
2+ (-1*6 - (3x)0 * 3+3 (x-1)*3/3
-1*6*2+(-6-(3x))*3+3(x-1)*3/3
3* -1 *2 + (-6-3x) *3+3 (x-1) *3 / 3
3*-1 * 2+(-6-(3x)) *3+3(x-1)*3/3
2-6*3x*3+3(x-1)*3/3
-6*3*2-18-3x*3+3(x-1)*3/3
3*-3*2-18-9x+3(x-1)*3/3
Determine the amplitude or period as requested . Amplitude of y = - 1/3 * sin x
Answer: amplitude and period are two different things. The amplitude is -1/3, and the period is 360 degrees.
Step-by-step explanation: to find the amplitude, you just look at what number is in front of sin. If there isn't one, an amplitude of 1 is implied (in this case. Keep in mind that different functions have different standards).
To find the period, you take term b (which is what comes after sin). In this case, b is 1 because there's no specific number there. Again, it's implied. Because this is sin and not tan, for example, you take 360/b=period. 360/1=360 degrees.
a rectangular window is 36 inches long and 24 in wide. tammy would like to buy a screen for the window. because of the screen is based on the number of square feet the screen is use the fraction to find the area of the window in square feet.
Answer:
144 Sq
Step-by-step explanation:
The area of the rectangle formula is Length x Width. Given 4 ft and 3 ft, we can find the area. The screen would be 12 Sq. Feet since the question is asking for inches we must now convert this.
can anyone help me please
What number gives a result of −3 when 7 is subtracted from the quotient of the number and 5?
Answer:
The number is 20
Step-by-step explanation:
( x / 5 ) - 7 = -3
+7 +7
————————
( x / 5) = 4
*5 *5
————————
x = 20
To Check;
20 / 5 = 4
4 - 7 = -3
Hope this helps!
Which values should you plot to show a linear relationship?
Month Population
Log(population)
1
1400
3.146
2
2600
3.415
3
4700
3.672
4
9000
3.954
5
17000
4.230
6
32000
4.505
O A. "Population on the x-axis and "Log(population)" on the y-axis.
O B. "Month" on the x-axis and "Population" on the y-axis.
w
O C. "Month" on the x-axis and "Log(population)" on the y-axis.
O D. "Log(population)" on the x-axis and "Month" on the y-axis.
Answer:“ C ”
“month” on the x axis and “log” on the y axis
What is the distance between these two points?
Answer:
Step-by-step explanation:
The two points are (-6,8) and (8,0)
we can find the distance thanks to this formula
√(x1-x2)^2 + (y1-y2)^2 where x and y indicate the coordinates of the two points
√(-6-8)^2 + (8)^2 = √196 + 64 = √260 ≃ 16,12
Help please! Due today!
Answer:
D. (2x-7)
Step-by-step explanation:
Split the equation into two equations by splitting -9x. Make sure that these can be factored further.
(2x² - 2x) + (-7x+7)
2x(x-1) -7(x-1)
create factors using GCFs (2x and -7) and the common factor (x-1)
(2x-7)(x-1)
D. (2x-7)
Suppose the probability of two people in your class having the same birthday as 0.50 what are the odds of two people having the same birthday
Answer:
99.9%
Step-by-step explanation:
no links or you will not get brainlest. plz help
Answer:
3,384
Step-by-step explanation:
Answer:
3,384
Step-by-step explanation:
I need 1 Brainliest before I can become expert
Solve 4^x=12 by taking the natural log of both sides
Answer:
3
Step-by-step explanation:
Determine the lateral and surface area of each triangular prism
Answer:
Step-by-step explanation:
lateral surface area=(sum of sides)×height
Total surface area =2×base area +lateral area