Answers
Answer:
Perimeter = [tex]34\sqrt{2}[/tex] feet
Area = 60 feet²
Step-by-step explanation:
Let us revise the rules of perimeter and area of a rectangle
Perimeter = 2(Length + width)Area = Length × Width→ From the given figure
∵ The length = [tex]\sqrt{8}[/tex] feet
∵ The width = 5[tex]\sqrt{18}[/tex] feet
→ Simplify the roots
∵ [tex]\sqrt{8}=\sqrt{(2)(2)(2)}[/tex]
∴ [tex]\sqrt{8}=2\sqrt{2}[/tex]
∴ The length = [tex]2\sqrt{2}[/tex] feet
∵ [tex]5\sqrt{18}=5\sqrt{(3)(3)(2)}[/tex]
∴ [tex]5\sqrt{18}=5(3)\sqrt{2}=15\sqrt{2}[/tex]
∴ The width = [tex]15\sqrt{2}[/tex] feet
→ Perimeter = 2(Length + width)
∵ Perimeter = [tex]2[2\sqrt{2}+15\sqrt{2}][/tex]
∴ Perimeter = [tex]2[17\sqrt{2}][/tex]
∴ Perimeter = [tex]34\sqrt{2}[/tex] feet
→ Area = Length × Width
∵ Area = [tex]2\sqrt{2}[/tex] × [tex]15\sqrt{2}[/tex]
∴ Area = [tex](2)(15)(\sqrt{2})(\sqrt{2})=(30)(2)=60[/tex]
∴ Area = 60 feet²
Related Questions
ShayAnn is a high school junior who is working on saving money for college. At the beginning of her sophomore year, she made the goal of saving $2,000 each school year for a total of $6,000 by the beginning of her freshman year of college. Six months into her junior year of high school, ShayAnn is evaluating the progress she has made toward her goal. So far, she has saved $2,000. To make her original goal of $6,000, how much does ShayAnn need to save each month for the next 18 months (round to two decimal places if needed)? no
Answers
Answer:
The amount, she needs to save each month for the remaining 18 months is $222.22
Step-by-step explanation:
The given information are;
The amount ShayAnn intends to save each year = $2,000
The total amount ShayAnn plans on saving = $6,000
The amount ShayAnn had saved six months into her junior year = $2,000
The number of months remaining for her to save towards her goal = 18 months
The amount she needs to save each month for the next 18 months to make her goal of $6,000 is given as follows;
The amount remaining to make her original goal = $6,000 - $2,000 = $4,000
The amount, X, she needs to save each month for the remaining 18 months is therefore;
X = (The amount remaining to make her original goal)/(The number of months remaining for her to save towards her goal)
X = $4,000/(18 months) = [tex]\$ 222.\overline 2[/tex]
∴ The amount, she needs to save each month for the remaining 18 months = $222.22.
2x+3=x-4 what is the solution
Answers
Answer:
x=-7
Step-by-step explanation:
all you need is an algebra calculator
Answer:
x=-7
Step-by-step explanation:
If f(x) = -4x2 – 3x – 5, then what is f(5)? f(-5)?
Answers
Answers:
f(5)= -60
f(-5)= 50
Help meee!!!! Pleaseee
Answers
Answer:
(3,2)
Step-by-step explanation
Show that (x-1)(x+2)(x+3) can be written in the form ax^3+bx^2+cx+d where a,b and c are all positive integers, and d is a negative integer
Answers
Answer:
The answer is x³ + 4x² + x - 6.
Step-by-step explanation:
You have to expand it :
[tex](x - 1)(x + 2)(x + 3)[/tex]
[tex] = ( {x}^{2} + 2x - x - 2)(x + 3)[/tex]
[tex] = ( {x}^{2} + x - 2)(x + 3)[/tex]
[tex] = {x}^{3} + 3 {x}^{2} + {x}^{2} + 3x - 2x - 6[/tex]
[tex] = {x}^{3} + 4 {x}^{2} + x - 6[/tex]
The expression (x - 1) (x + 2) (x + 3) is written in form of ax³ + bx² + cx + d as;
⇒ (x - 1) (x + 2) (x + 3) = x³ + 4x² + x - 6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is;
⇒ (x - 1) (x + 2) (x + 3)
Now, It can be solve by multiplying as;
The expression is;
⇒ (x - 1) (x + 2) (x + 3)
⇒ (x - 1) (x² + 3x + 2x + 6)
⇒ (x - 1) (x² + 5x + 6)
⇒ x³ + 5x² + 6x - x² - 5x - 6
⇒ x³ + 4x² + x - 6
Thus, By comparing with the equation of the form ax³ + bx² + cx + d , we get;
⇒ a = 1 , b = 4 , c = 1 and d = -1
Clearly, a, b and c are positive integers, and d is negative integer.
Hence, The expression (x - 1) (x + 2) (x + 3) is written in form of
ax³ + bx² + cx + d.
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Which steps should be used to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)?
1. Plot the point (2, 4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
1. Plot the point (2, 4).
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.
1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
1. Plot the point (–2,4).
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.
Answers
Answer:
c.
Step-by-step explanation:
In order to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2), the steps to use are:
Plot the point (–2,4).From that point, count left 3 units and down 1 unit and plot a second point.Draw a line through the two points.What is graph?A graph is actually known to be a diagram which is used in mathematical problems to show or review the relationship that exists between two or more sets of numbers.
We see that in order to graph the given equation above, it is necessary to follow the steps outlined above.
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Hi, guys, I have 5 questions I need to answer and if anyone knows the answers please answer the question basically what you have to do is find X and ONLY X I already know the answer to the question I just need to FIND X. The questions are down below!:)
1. -3x + 10
2. 4x +8
3. -1 - 4x
4. 7 - 5x
5. 1 + 2x
Answers
Answer:
1.-13
2.-4
3. x=3
4. x= 12
5. 1
Step-by-step explanation:
Answer:
1.-3x+10
2.4(x+2)
3.-4x-1
4.-5x+7
5.2x+1
Step-by-step explanation: those are the only possible answers because
there are no like terms
Solve the following equation.
r/5 = 28
r =
Answers
Answer:
r=140
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
y=2/3x+1 , what is a order pair for this function?
Answers
For example, if you choose x=1, then
y=-2/3(1)-1
y=-2/3-3/3
y=-5/3
To do a three part table quickly, I like to use -1, 0, and 1 for the value of x, since -1 and 1 will not change the values, only the sign for -1, and 0 eliminates the m section of the equation.
I hope this helps !!!!
n = 5(m² + D)
Solve for D
Answers
Answer:
D = [tex]\frac{n-5m^2}{5}[/tex]
Step-by-step explanation:
Given
n = 5(m² + D) ← distribute
n = 5m² + 5D ( subtract 5m² from both sides )
n - 5m² = 5D ( divide both sides by 5 )
[tex]\frac{n-5m^2}{5}[/tex] = D
The solution of the expression for the value of D will be D = (n - 5m²) / 5
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is n = 5(m² + D). The value of D will be calculated as below:-
n = 5(m² + D) ← distribute
n = 5m² + 5D ( subtract 5m² from both sides )
n - 5m² = 5D ( divide both sides by 5 )
(n - 5m²) / 5 = D
Therefore, the solution of the expression for the value of D will be D = (n - 5m²) / 5
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I will give you all five stars⭐⭐⭐⭐⭐
Answers
2 1/3 divided by 2/5
Answers
Answer:
35/6
Step-by-step explanation:
Answer:
5.83
Step-by-step explanation:
Find the slope of the line perpendicular to y = 9x+4
-1/9
1/9
9
Answers
Answer:
The answer is -1/9
Step-by-step explanation:
The slope of a perpendicular line is the opposite reciprocal.
To find the slope you take the given slope (9) and flip the reciprocal which results it turning into 1/9.
Then make it the opposite value. Like switching a negative to a positive or a positive to a negative. For this case, you make 1/9 into a -1/9
it cost $25.20 for a pack 9 padlocks.
find the unit price in dollars per padlock.
if necessary, round your answer per cent.
pls explain with you're answer
Answers
Answer:
$2.8Step-by-step explanation:
9 padlocks cost $25.20
Let the cost of a padlock be x
Then
9*x = 25.20x = 25.20/9x = $2.8A padlock costs $2.8
Help me with these problems please
Answers
2. 0
3. m = -1
4. k = -4
5. x = -6
6. There is no solution for these equations.
Please let me know if you want explanations/work shown!! Hope this helps :)
HELP ASAP PLZZZ!!! I would be Soo grateful
Answers
Answer:
31%
Step-by-step explanation:
3/10 is the same as 30%
If 30% of the students liked English and 61% of the students like math, the difference can be found by using subtraction.
61% - 30% = 31%
calculate
21% of $6.85 = $
Answers
Answer: $1.44
Step-by-step explanation: hope this helps please give me brainliest.
The legs of a right triangle are 12 centimetres and 16 centimeters. What is the length of the hypotenuse?
Answers
Answer:
20 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
h = [tex]\sqrt{400}[/tex] = 20
solve for t
2(t+1)=10
t=
Answers
(distribute the 2 to parentheses)
2t+2=10
(subtract 2 from both sides)
2t=8
(divide both sides by 2)
t= 4
T = 7
2+7+1=10 that is how you get it
In the figure below, FH= 14 and GH=6. Find FG.
Answers
Answer:
Let's see what to do buddy....
Step-by-step explanation:
_________________________________
FG = FH + HG ----¢ FG = 14 + 6 = 20
FG = 20
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Help find the value of x
1/2 (-10x + 4) = -4 (-3+2x) +8
Answers
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} (-10x+4)=-4(-3+2x)+8[/tex]
To make things easier, let's first start by rewriting [tex]\frac{1}{2}[/tex] as a decimal:
[tex].5(-10x+4)=-4(-3+2x)+8[/tex]
Distribute [tex].5[/tex] into [tex](-10x+4)[/tex]:
[tex]-5x+2=-4(-3+2x)+8[/tex]
Distribute [tex]-4[/tex] into [tex](-3+2x)[/tex]:
[tex]-5x+2=12-8x+8[/tex]
Combine like terms:
[tex]-5x+2=20-8x[/tex]
Add [tex]8x[/tex] to both sides of the equation:
[tex]3x+2=20[/tex]
Subtract [tex]2[/tex] from both sides of the equation:
[tex]3x=18[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]3[/tex]:
[tex]x=6[/tex]
_
Check your work by substituting [tex]6[/tex] into the initial equation:
[tex].5(-10(6)+4)=-4(-3+2(6))+8[/tex]
[tex].5(-60+4)=-4(-3+12)+8[/tex]
[tex]-30+2=12-48+8[/tex]
[tex]-28=-28[/tex]
The answer is correct!
Answer:
x = 6
Step-by-step explanation:
We know that,
( + ) × ( + ) = ( + )
( - ) × ( - ) = ( + )
( - ) × ( + ) = ( - )
Let us solve it now.
[tex]\sf \dfrac{1}{2} (-10x+4)=-4(-3+2x)+8[/tex]
Solve the brackets.
[tex]\sf -\dfrac{10x}{2} +\dfrac{4}{2} =+12-8x+8\\\\\sf -5x +2 =20-8x[/tex]
Add 8x to both sides.
[tex]\sf -5x+8x+2=20\\\\3x+2=20[/tex]
Subtract 2 from both sides.
[tex]\sf 3x=20-2\\\\3x=18[/tex]
Divide both sides by 3.
x = 6
5x minus 6 equal 44?
Answers
Answer:
x = 10
Step-by-step explanation:
I'm not entirely sure what you're asking, however we know that:
5x-6=44
5x must be 50, as 50-6=44
50 divided by 5 is 10, so 10x
Answer:
x=10
Step-by-step explanation:
Add 6 to both sides.
5x=44+6
Add 44 and 6 to get 50.
5x=50
Divide both sides by 5.
x= 50/5
Divide 50 by 5 to get 10.
x=10
PLEASEE HELP I ONLY HAVE 3 MINUTES LEFT PLEASE HELP ME
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 5.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
The graph of g(x) is the graph of f(x) translated 5 units right.
The graph of g(x) is the graph of f(x) translated 5 units up.
Answers
Answer:
The graph is translated 5 units up
Step-by-step explanation:
2x - y = -5 solve for y
Answers
Answer:
y=5+2x
Step-by-step explanation:
The Solution of the given 2x - y = -5 expression for y will be y = 2x 5.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Given, an algebraic expression 2x - y = -5
Solution of the given expression for the variable y
=> 2x - y = -5
Simplifying the equation
=> 2x - y = -5
add variables y and 5 on both sides
=> 2x - y +y + 5 = -5 + y + 5
=> 2x +5 = y
Therefore, the Solution of the given expression for y will be y = 2x + 5.
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Y-3=-2/5(x-5) solve for y
Answers
Answer:
[tex]y=-\frac{2}{5} x+5[/tex]
Step-by-step explanation:
[tex]y-3=-\frac{2}{5} (x-5)[/tex]
Distribute [tex]-\frac{2}{5}[/tex] into [tex](x-5):[/tex]
[tex]y-3=-\frac{2}{5} x+2[/tex]
Add [tex]3[/tex] to both sides of the equation:
[tex]y=-\frac{2}{5} x+5[/tex]
Eddie went to a Nascar race and brought $55 with him to spend. Admission cost him $35 and sodas were $6.25 each.
A) Write an inequality that represents how many soda's Eddie can buy.
B) What is the greatest number of sodas Eddie can buy?
Answers
Given :
Eddie went to a Nascar race and brought $55 with him to spend.
Admission cost him $35 and sodas were $6.25 each.
To Find :
A) Write an inequality that represents how many soda's Eddie can buy.
B) What is the greatest number of sodas Eddie can buy.
Solution :
A)
Let, after buying x soda cans money spend is y.
So, [tex]y=6.25x +35[/tex]
It is also given that maximum money he have is $55 .
So, 6.25x + 35 ≤ 55
B)
Now,
6.25x ≤ 20
x ≤ 3.2
i.e x ≤ 3
Therefore, greatest number of sodas Eddie can buy is 3.
Pls helpppp AAAAA!!!
Answers
Answer:
I hope this helps! I you have any more questions, then contact me at 3856026122
Step-by-step explanation:
Since we have given that Sherman goes golfing every 6th day ,
And, Brad goes golfing every 7th day,
According to question, if Sherman and Brad both went golfing today,
We need to find the "Day at which they will go golfing together again" .
For this we need to find the first common multiple of 6 and 7 which is given by doing 6X7=42
Hence,
At 42nd day, Sherman and Brad will go golfing together again.
A teacher surveys 30 students on the number of books they read over the summer. The data
are represented in the box plot. What is the median number of books read?
2 4
8
14
20
0
4
8
12
16
20
24
11
8
10
9
Answers
Answer: 8
Step-by-step explanation:
A box plot has 5 data descriptions. The correct option is b, 8.
How does a boxplot show the data points?A box plot has 5 data descriptions.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called the second quartile.The last line of the box shows the third quartile.As it is known about the box-plot that the mid-line shows the median of the data, therefore, the median of the given box-plot is 8.
Hence, the correct option is b, 8.
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Fill in each blank for the function f(x) = 3x - 6.
Answers
Answer:
reeee :(
Step-by-step explanation:
I'LL MARK YOU AS BRAINLIEST! (if correct)
Which of the following points are NOT coplanar in this image?
Select one:
D, T, R, and F
E, W, S, and X
U, R, G, and V
R, T, F, and X
Answers
Answer:
R,T,F, and X are Not Coplanar in the image provided.