A square plot of land will be fully used for a square swimming pool with a 5 foot wide walkway around it. The area of the entire plot, including the walkway, is A square feet. Which expression gives the length of the pool?
Answers
Answer:
The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
Step-by-step explanation:
Assume that the length of the pool is x feet
∵ The length of the pool is x feet
∵ The wide of the walkway around the pool is 5 feet
∴ The total length of the pool with the walkway = (x + 5) feet
∵ The area of the entire plot, including the walkway, is A square feet
∴ The area of the entire plot, including the walkway = A feet²
∵ The area of the square = (length)²
→ Substitute the length by (x + 5)
∴ The area of the entire plot, including the walkway = (x + 5)² feet²
→ Equate it by A
∴ A = (x + 5)²
→ To find x take square root for both sides
∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]
→ Cancel the square root of the right side by power 2
∴ [tex]\sqrt{A}[/tex] = x + 5
→ Subtract 5 from both sides
∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5
∴ [tex]\sqrt{A}[/tex] - 5 = x
→ x represents the length of the pool
∴ The length of the pool is [tex]\sqrt{A}[/tex] - 5 feet
∴ The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
The length of the pool will be √A-10.
What is area?Area is defined as the total space taken up by a flat surface or shape of an object.
Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.
The area of a square is side².
Let the side of the walkway be (x+10)
A = (x+10)²
√A = x+10
x = √A-10
Hence, The length of the pool will be √A-10.
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Related Questions
Angelina paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake? *
Answers
Answer:
the answer would be 1.82
Step-by-step explanation:
it is this answer because you have to see how much money goes into one cupcake which to put stuff into different places you have to divide 12/6.60
Answer:
$0.55 Hope this helps!!!!!!!
Step-by-step explanation:
Remember that is that a dozen is equal to 12.
12x= 6.60
/12 /12
x=.55
reduce the ratio to its lowest form 18:81
Answers
Answer:
1:4.5 or 2:9 if you want it a whole number.
Step-by-step explanation:
81/18 = 4.5If your trying to get it to a whole number the answer would be 2:9 because 18/9 = 2 and 81/9 = 9 so 1:4.5 or 2:9.
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
Answers
Answer:
A and D
Step-by-step explanation:
I took the assignment
Answer:
a, d
Step-by-step explanation:
Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?
The correct expression is StartFraction n cubed Over 16 EndFraction minus 2 + 8.
The correct expression is 2 minus StartFraction n cubed Over 16 EndFraction + 8.
One of the steps to determining the value when n = 4 is 1 minus 2 + 8.
One of the steps to determining the value when n = 4 is 2 minus 1 + 8.
The value when n = 4 is 6.
The value when n = 4 is 7.
The value when n = 4 is 9.
The value when n = 4 is 10.
Answers
Answer:
A and H are correct
Step-by-step explanation:
I took the quiz
The expression for the given statement is n³/16-2+8. Therefore, the options A and H are correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given statement is “two less than the quotient of a number cubed and sixteen, increased by eight”
"Two less than x" describes "x- 2"
"Quotient of x and y" describes x/y
"x increased by y" describes x+y
n³/16 is the quotient and 2 is subtracted and 8 is increased which means 8 is added.
So, the expression is n³/16-2+8
= n³/16 +6
When n=4, we get
4³/16 +6
= 4+6
= 10
Therefore, the options A and H are correct answer.
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3. Determine whether these two lines are parallel, perpendicular, or neither. 1 point
8x + y = 7, 4x + 3y = 12 *
parallel,
perpendicular or
neither
Answers
Answer:
The two lines are neither
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsPerpendicular lines have a product of their slopes = -1The slope of a line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]∵ The equations of the lines are
8x + y = 7 ⇒ 1st4x + 3y = 12 ⇒ 2nd∵ In the 1st equation a = 8 and b = 1
∴ m1 = [tex]\frac{-8}{1}[/tex] = -8
∴ The slope of the 1st line is -8
∵ In the 2nd equation a = 4 and b = 3
∴ m2 = [tex]\frac{-4}{3}[/tex]
∴ The slope of the 2nd line is [tex]\frac{-4}{3}[/tex]
→ By using the facts above
∵ m1 ≠ m2
∴ The two lines are not parallel
∵ m1 × m2 = -8 × [tex]\frac{-4}{3}[/tex] = [tex]\frac{32}{3}[/tex]
∴ m1 × m2 ≠ -1
∴ The two lines are not perpendicular
∴ The two lines are neither parallel nor perpendicular
Juan reads 300 pages 5 days which reading rate is equivalent
Answers
It is shown that One is reading 300 pages in five days so we need to find a reading rate which would be the total number of pages one reads over the number of days so the substitute does values by doing 300/5 you would get 60 pages per day
Your science teacher tells you that the next test is worth $0 points and contains 19 problems. Multiple-choice
questions are worth 2 points each and short answer questions are worth 5 points. Find how many of each type of
question will show up on the test.
Answers
Answer:
The test had
30
multiple choice questions, and
8
word problems.
Step-by-step explanation:
its a mee again and I just wanted to ask
whats 10 divided by 9075
Answers
Answer:
0.00110192837
Step-by-step explanation:
A family has completed 50% of a trip and they have traveled 10 miles. How long is the trip?
Answers
Answer: 20 miles? lol
Step-by-step explanation:
Explanation:
50% of 20 is 10.
10 + 10 = 20.
Y>3/4|x-1|-7 what is the transformation from the parent function?
Answers
Answer:
( - 3 ' - 4 )
Step-by-step explanation:
pleaseee help....leave an explanation if you can
Answers
Answer:
A and B
Step-by-step explanation:
Looking at A it is 2/8. If you divide both numbers by the top, which is two, it would become 1/4.
For B, if you divide both numbers by 4 it will also become 1/4.
What is the scale factor?*
A
7
6
5
5
30
С
3
3
2.
В"
-10
2
3
5
6
78
9 10 11 12 13
-2
-3
Answers
Answer:
Scale factor is 3
Step-by-step explanation:
The distance in A and B is 2
The distance in A' and B' is 6
6/2=3
Round 90.2844097979 to 3 decimal places.
Answers
Answer:
It would be 90.284.
Step-by-step explanation:
what is the slope of the line that passes through the points
(5,1) and (2,-7)
A.) 3/8
B.) -8/3
C.) 8/3
D.) -3/8
Answers
Slope is the change in y over the change in x:
Slope = (-7 - 1) / (2 - 5)
Slope = -8/-3
Slope = 8/3
(-7-1)/(2-5) = -8/-3
It would be C. 8/3
Multiply out and simplify: (x + 6)(x - 2)
Answers
Answer:
x squared+4x−12
Step-by-step explanation:
Answer:
[tex] {x}^{2} + 4x - 12[/tex]
Step-by-step explanation:
[tex](x + 6)(x - 2)[/tex]
[tex] = > x(x - 2) + 6(x - 2)[/tex]
[tex] = > {x}^{2} - 2x + 6x - 12[/tex]
[tex] = > {x}^{2} + 4x - 12[/tex]
turn y=4x-7 into standard form.
Answers
3/4 divided by 2/3 in simplest form
Answers
Answer:
1 1/8
Step-by-step explanation:
1. Keep, change, flip
3/4 x 3/2
2. Multiply
3/4 x 3/2= 9/8
3. Simplify
9/8= 1/18
PLEASE HELP...I WILL GIVE BRAINLIEST AND THANKS
A)On the grid, draw the graphs of y=x+2 and x+y=3
b) use the graph to solve the simultaneous linear equations y=x+2 and x+y=3
Answers
9514 1404 393
Answer:
see the attachment for a graph
(x, y) = (0.5, 2.5)
Step-by-step explanation:
The first equation has a slope of 1 and a y-intercept of 2.
The second equation has a slope of -1 and a y-intercept of 3.
The two lines cross at the point (0.5, 2.5), which is the solution to the system of equations.
Answer:
a) Sorry, I submitted the question before screen clipping the graph
b) X=0.5 Y=2.5
Step-by-step explanation:
Draw both lines, and the coordinates which the 2 lines cross at equals x and y.
ASAP please i need helppp
Answers
What is 83 1/3% of 30
Answers
step by step explanation:
yw
hope this helps
give brainliest plz
how many 4-digit number are divisible by 7,8,10 and 25
Answers
9514 1404 393
Answer:
7
Step-by-step explanation:
In order for a number to be divisible by all of 7, 8, 10, and 25, it must be a multiple of the least common multiple of those numbers.
LCM(7, 8, 10, 25) = 7×8×25 = 1400
There are floor(10,000/1,400) = 7 4-digit numbers divisible by 7, 8, 10, and 25. They are ...
1400, 2800, 4200, 5600, 7000, 8400, 9800
52 = p - 3
what is p ?
Answers
Answer: P=55
Step-by-step explanation:
52=p-3
52+3= p+3
55=p (-3+3=0)
Robert had money in his savings account. He spent $35.80 of it on a new jacket. He has $70 left. How much money did he have in his savings before he bought the jacket?
Answers
Answer:
105.8
Step-by-step explanation:
All you have to do is add them up :)
Answer:
95.80
Step-by-step explanation:
Btw this is very easy Hope this Helps tho (✿◡‿◡)
what is the fraction of 23%
Answers
Answer:
23/100
Step-by-step explanation:
is this what u mean?
Answer: is 23/100
im rite
on
ma
mama
Determine the number that can be used in place of the question mark to make the equation true.
(1/5)^?= 25
The solution is
Answers
x = -2
Since when it’s a fraction, the result is negative.
The solution is -2
Is 78 − –5 positive or negative?
Answers
Answer: it would be a positive
Answer:
the answer is positive because 78 is bigger than -5
Step-by-step explanation:
4(x-2)+5x=7x-14 find x
Answers
Answer:
x = -3
Step-by-step explanation:
Answer:
x= -11
Step-by-step explanation:
you multiple 4 times the things in the parentheses and solve for x
9x + 11 = 110
what is x ?
Answers
Answer:
x = 11, lucky you, this stuff is easy
Step-by-step explanation:
110 - 11 = 99
9 x 11 = 99
99 + 11 = 110
Answer:
x = 11
Step-by-step explanation:
9x + 11 = 110
- Pass the 11 to the other side of the equation (grouping similar terms) and then perform the following operation:
9x = 110 - 11
9x = 99
- Now we have to obtain x by dividing 9 on both sides of the equation:
(9/9)x = 99/9
x = 99/9, which is divisible by 11.
What theorems can be used to prove the triangles are congruent?
SSS
ASA
AAS
HL
Answers
Answer:
1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)
Step-by-step explanation:
These two triangles are similar what is the measure of angle M?
Answers
Answer:
30
Step-by-step explanation:
We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:
180=102+48+m
180=150+m
30=m
Answer:
A. 30 degrees
Step-by-step explanation:
They are similar aka the same or congruent and since you know all three angles you just match them up.