A farmer has 300 feet of fence available to
enclose a 4500 square foot region in the
shape of adjoining squares, with sides of
length x and y. The big square has sides of
length x and the small square has sides of
length y. Find x and y.
UUUULTTUUL
x= ? feet
y = ? feet
Answers
Given :
A farmer has 300 feet of fence available to enclose a 4500 square foot region in the shape of adjoining squares, with sides of length x and y.
The big square has sides of length x and the small square has sides of length y.
To Find :
The value of x and y.
Solution :
From attached figure perimeter is given by :
x + x + x + y + y + y + ( x-y ) = 300 ft
4x + 2y = 300
2x + y = 150 ...1)
Now, area is given by :
A = x² + y²
x² + y² = 4500 ...2)
Putting value of y in equation 2), we get :
[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]
y = 150 - ( 2× 60 )
y = 30 ft
Therefore, the value of x and y is 60 ft and 30 ft respectively.
Related Questions
10. In a warehouse, the workers sometimes slide boxes along the floor to move them. Two boxes
were sliding toward each other and crashed. The crash caused both boxes to change speed. Based
on the information in the diagram, which statement is correct? In your answer, explain what the
forces were like and why the boxes changed speed (5pts)
Box 1 has more mass than Box 2.
Box 1 and Box 2 are the same mass.
Box 1 has less mass than Box 2.
Answers
Answer:
The Box 1 and Box 2 are the same mass.
Explanation:
It caused both to change speed because they have both the same mass.
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
2nd answer
Step-by-step explanation:
Reason:
with a triangle the longest angle should be lower than the two smaller angles combined.
Take for instance
5, 11, 15
5+11= 16
16 is greater than 15
12+ 20= 32
32 is greater
12 + 20 = 32
32 is greater than 30
10 + 6 = 16
16 is not greater than 16
Hope this helps
A lender charges 3.25% of the loan amount for closing costs on a $165000 home loan. Determine the closing costs.
Answers
Answer:
$5,362.50
Step-by-step explanation:
3.25% = 0.0325
165000 x 0.0325 = 5,362.50 dollars
Answer:
$5,362.50
Step-by-step explanation:
If 4 soap cakes cost Rs 50, find the cost of 3 dozen soap cakes.
Answers
50 divided by 4 is 12.5, so it is 12.5 for 1 soap cake, 12.5 x 36 is 45.0
The answer is 45.0
Mark Branliest!
plzzzz some one help I want step by step I'm confused What's 5⁄6 of £300
Answers
Answer: 15
Step-by-step explanation:
Blake sold 17 verses for $3.25 each he spent $16.21 on materials to make the vases what is the profit
Answers
Answer:
We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:
17 * 3.25 = $55.25
Now, we know he got 55.25 dollars but he spent 16.21, so we substract:
55.25 - 16.21 = $39.04
His profit selling that is of 39.04 dollars..
Write the point-slope form of the line that has a slope of -7 and passes through the point (10,4).
Answers
Answer:
y=10/4-7
Step-by-step explanation:
Solve
I need it really quickly
Answers
3x = 30 <=>
x = 10
1)Tyrone is scuba diving in the ocean and is currently at a depth of 47 feet below sea level.
2)Enter the integer that represents Tyrone's current depth.
Answers
Answer:
-47 Feet
Step-by-step explanation:
He is 47 feet below sea level, so he would be at -47 feet. If you are asking how deep he is, then it would be just positive 47 feet.
I'm very confused, I don't know where to even start! Please help me!!
Answers
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find width of the rectangle, BD:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = BD
Adjacent = 7 cm
Plug in the values
[tex] \sqrt{3} = \frac{BD}{7} [/tex]
Multiply both sides by 7
[tex] 7\sqrt{3} = BD [/tex]
[tex] BD = 7\sqrt{3} [/tex]
✔️Using trigonometric ratio, find height of the rectangle, BF:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = 6 cm
Adjacent = BF
Plug in the values
[tex] \sqrt{3} = \frac{6}{BF} [/tex]
[tex] BF = \frac{6}{\sqrt{3}} [/tex]
Rationalize
[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]
[tex] BF = \frac{6\sqrt{3}}{3} [/tex]
[tex] BF = 2\sqrt{3} [/tex]
✔️Perimeter of rectangle BDEF:
Perimeter = 2(BD + BF)
Plug in the values
[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]
[tex] Perimeter = 2(9\sqrt{3}) [/tex]
[tex] Perimeter = 18\sqrt{3} [/tex]
✔️Area of the rectangle BDEF:
Area = BD × BF
Plug in the values
[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]
[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]
[tex] Area = 14 \times 3 [/tex]
[tex] Area = 42 [/tex]
A basket contains six apples and five peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit.
The first piece of fruit is an apple and the second piece is a peach. What’s the probability?
Answers
Answer:
6/11 * 5/10
3/11 or 0.27 repeating
Step-by-step explanation:
The expression 2y+ 2.6 is equal to ? for y=5
Answers
Answer:
Its 12.6
Step-by-step explanation:
first we multiply 2 by 5 and get 10. Then we add 10 to 2.6 and get 12.6 for your answer.
Answer: 12.6
Step-by-step explanation:
2(5)+2.6
10+2.6
12.6
Solve for ... 2x + 3
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
A restaurant customer left $ as a tip. The tax was and the tip was % of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answers
Complete question :
A restaurant customer left $0.90 as a tip. The tax was 8% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
The tax percentage
9.9
Step-by-step explanation:
Guven that :
Amount of tip left = 0.90
Tip left = 10% of after tax cost
Tax % = 8%
If tip left = 10% of after tax cost; then ;
If after tax cost = x
10% of x = 0.90
0.1x = 0.9
Hence the percentage tax isn't needed :
To obtain the total bill:
Let total bill = y
y = after tax cost and tip
Hence,
y = x + tip
y = x + 0.9
From : 0.1x = 0.9 ; x = 0.9/0.1 = 9
Hence,
Total bill:
y = 9 + 0.9
y = 9.9
Answer ASAP!! There is only a blank circle on the left
Answers
Answer:
i think its 1000
Step-by-step explanation:
Please hurry!! Steven and Dan like to play a lot of video games. On Sunday, Dan played 4 fewer than twice the number of hours that Steven played. They played a total of 17 hours on Sunday. Which system of equations models this situation if Steven played s hours and Dan played d hours?
A) d=4-2s s+d=17
B) s=2d-4 s=17-d
C)d=2s-4 s+d=17
D)s=4-2d d=17-s
Answers
Answer
Step-by-step explanation:
Answer:i think A or C
Step-by-step explanation:
i'm not sure about my answer but i chose C and i don't know if i got it wrong or right but its either both of them i hope this helps.
Graph
Y=3/4x - 1/2
Pleaseeeee help!!
Answers
Abby has to measure the weight of objects in pounds for her homework, but she only has a scale that measures ounces. If she finds an object weighs 48 ounces, how many pounds does it weigh?
Answers
Answer: 3 pounds
Step-by-step explanation: 1 pound=16 ounces
Now that you know what the conversion from ounces to pounds is, you just have to divide the number of ounces in the problem (48) by 16.
48÷16=3
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
Answers
All we need to do is solve for y.
[tex]y - 3 = 4(x + 2)\\\\y - 3 = 4x + 8\\\\y = 4x + 11[/tex]
The answer is A. y = 4x + 11.
Can you help meh pls
Answers
a circle has a circumference of 54π cm what is the radius?
Answers
Answer:
circumfrence = 108
Step-by-step explanation:
Radius = half the circumfrence
radius * 2 = circum.
54*2 = 108
108 = circum
6(3x - 2) = 18x + 6
I’m confusion please help
Answers
Step-by-step explanation:
6(3x-2)=18x+6
18x-12=18x+2
18x-18x=2-12
0 =-10
0
Answer:
This equation does not exist.
write at least four rational numbers between -2/5 and -1/3.
Answers
Answer:
-47/120 -23/60 -3/8 -11/30
Step-by-step explanation:
fractions are always rational. give both numbers the same denominator and list any numbers between the two. (-2/5 is equal to -6/15) (-1/3 is equal to -5/15) make sure to simplify though
Find the slope of the following graph.
yaxis
(2.2)
(1.2)
Answers
Answer:
Y = 2
Step-by-step explanation:
Use the formula below to find the slope. Plug 0 in for X to find the y intercept. In this case there is no slope. Make sure next time to use commas , instead of periods . when writing coordinates.
pls help (-12) ⋅ c = 12
c = ?
Answers
Answer:
c= -1
Step-by-step explanation:
A negative number multiplied by another negative number equals a positive number, so c must be negative. 12 times 1 equals 12, so c must be -1.
Consider the graphs of Equals 5 sine (2 x minus StartFraction pi Over 3 EndFraction) and . Which feature of the graph of g(x) is different from the graph of f(x)?
Answers
Answer:
c
Step-by-step explanation:
edge 2020
Answer:
C. the phase shift
Step-by-step explanation:
edge 2020
Multiply
(1.4 x 105)(2 x 107)
Answers
Answer:
31458
Step-by-step explanation:
(1.4 x 105) = 147
(2 x 107) = 247
147 x 247 = 31,458
Non proportional or proportional
Answers
Will mark brainliest who ever answers first !!!
Please help
Answers
I believe the answer is x=-2
HELP HURRRYYY!!!! If (72)x = 1, what is the value of x? Explain your answer.
Answers
Answer:
1/72
Step-by-step explanation:
72 times x equals 1
to find singular value of x, divide both sides by 72.
x=1/72
Answer:
1/72
Step-by-step explanation:
