The length of the diagonal is the hypotenuse of the fence
The length of the wood is [tex]7\sqrt{ 2[/tex] yards
How to determine the length of the wood?The dimensions of the fence are:
7 ft by 7 ft
The length (L) of the diagonal is calculated using:
[tex]L = \sqrt{a^2 + b^2[/tex]
This gives
[tex]L = \sqrt{7^2 + 7^2[/tex]
Express as products
[tex]L = \sqrt{7^2 * 2[/tex]
Express as radical
[tex]L = 7\sqrt{ 2[/tex]
Hence, the length of the wood is [tex]7\sqrt{ 2[/tex] yards
Read more about diagonals at:
https://brainly.com/question/10187910
How can you reduce the variability of a statistic?
Answer:
How can you reduce the variability of a statistic? By taking a larger sample. Larger samples give smaller spread. Also by better design, such as stratified sampling. What effect does the size of the population have on the variability (spread) of a statistic?
Step-by-step explanation:
Joe drove 567 miles in 9 hours.
At the same rate, how many miles would he drive in 5 hours
Answer:
answer down below
Step-by-step explanation:
it would be 315
Answer:
13 hours
Step-by-step explanation:
567/9=63
she drives 63mph
it will take her 13 hours to drive
Solve the equation
8 - (x - 2) = 2x + (10 - 3x)
a. x= 10
b. x= -10
c. infinitely many solutions
d. no solution
Answer:
Step-by-step explanation:
8-(x-2)=2x+(10-3x)
We move all terms to the left:
8-(x-2)-(2x+(10-3x))=0
We add all the numbers together, and all the variables
-(x-2)-(2x+(-3x+10))+8=0
We get rid of parentheses
-x-(2x+(-3x+10))+2+8=0
We calculate terms in parentheses: -(2x+(-3x+10)), so:
2x+(-3x+10)
We get rid of parentheses
2x-3x+10
We add all the numbers together, and all the variables
-1x+10
Back to the equation:
-(-1x+10)
We add all the numbers together, and all the variables
-1x-(-1x+10)+10=0
We get rid of parentheses
-1x+1x-10+10=0
We add all the numbers together, and all the variables
=0
x=0/1
x=0
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8 - (x - 2) = 2x + (10 - 3x)}\\\mathsf{\rightarrow 8 - x - 2 = 2x + 10 - 3x}\\\mathsf{\rightarrow 6 - x = 5x + 10}\\\mathsf{\rightarrow 6 - 1x = 5x + 10}\\\mathsf{\rightarrow -x + 10 = -x + 10}\\\large\text{ADD the value of x to BOTH SIDES}\\\mathsf{\rightarrow -x + 10 + x = -x + 10 + x}\\\large\text{SIMPLIFY IT!}\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\mathsf{\rightarrow 10 - 10 = 10 - 10}\\\large\text{SIMPLIFY IT!}\\\mathsf{0 = 0}\\\huge\textsf{Answer: Option C. infinitely many solutions}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex](-2)-(3)+(+5)
por favor e pra hj,amanha vou ter aula cedo
Answer:
0
Step-by-step explanation:
-2-3+5
-5+5
0
What is the area of a circle with a radius of 10.2 feet? 10.2
What are the roots of the polynomial equation x superscript 4 baseline x squared = 4 x cubed minus 12 x 12? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth. –12, 20 –2.73, 2, 2.73 –1.73, 1.73, 2 –20, 12
The roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.
What is a factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.\
To find the roots of a polynomial, equate these factors of a polynomial to zero.
The given polynomial equation is,
[tex]x^4+x^2=4x^3-12x+12[/tex]
Take all the terms left side of the equation,
[tex]x^4+x^2-4x^3+12x-12=0\\x^4-4x^3+x^2+12x-12=0[/tex]
The factor form of the polynomial on solving the above equation, we get,
[tex](x-2)(x-2)(x-1.73)(x+1.73)=0[/tex]
Equate all the factors to zero, to find the roots. The roots we get are,
[tex]2,2,1.73,-1.73[/tex]
Hence, the roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
Answer:
–1.73, 1.73, 2
Step-by-step explanation:
what is the gradiant of the graph
Answer:
gradient = 2
Step-by-step explanation:
calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 3) ← 2 points on the line
m = [tex]\frac{3-(-1)}{2-0}[/tex] = [tex]\frac{3+1}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Which ordered pair is the solution of the system of a linear equation? (See image)
Answers:
(-4,-2)
(-4,2)
(-2,-4)
(2,4)
Check the picture below.
PLSSSSSS HELPPP Assemble the proof by dragging the tiles to the Statements and Reasons columns.
Answer:
Hope this helps
Step-by-step explanation:
Similar Triangles... Yes
QR similar to SR
ang. QRP = ang. SRT
ang. p = ang. t
=> similar
There are 224 boys and 168 girls in the seventh grade. In which class is the ratio of boys and girls equivalent to the ratio in the seventh grade? Class Boys Girls A 12 8 B 18 10 C 15 9 D 16 12
Answer:
C
Step-by-step explanation:
Because 3 goes into both 15 and 9 and make 3:3
No other numbers make an equivalent ratio
The points go from 0 to 6 or -6. Please help asap
Answer:
either one
Step-by-step explanation:
it is going through the origin, so it is going forever in each direction
HELP PLEASE
Find the area of the irregular figure.
5 in.
4 in
A = [ ? ]in.?
5 in.
9 in.
12 in.
4 in
5 in.
Answer:
Area of a rectangle
A = lw
How can you use tables, graphs, and equations to compare functions in everyday life?
Mal spends 7 hours in school each day. Her lunch period is 1 hour long, and she spends a
total of 1 hour switching rooms between classes. The rest of her day is spent in 6 classes that
are all the same length, How long is each class?
Answe asap please
Answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
each class is 1.07 hours
Step-by-step explanation:
2x - 3y = 1, x + 2y = -3 equivalent equation and solution
Answer:
x = -1, y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=\frac{1+3y}{2}[/tex]
[tex]\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}[/tex]
Simplify
[tex]\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=\frac{1+3y}{2}[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=\frac{1+3\left(-1\right)}{2}[/tex]
[tex]x=-1[/tex]
[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]
[tex]x=-1,\:y=-1[/tex]
Check Answer:
2(-1)-3(-1) = 1
True
-1+2(-1)= -3
True
~Lenvy~
What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π
Area of a circle = pi x r^2
Area of the circle = 4^2 x pi = 16pi
3/4 of the circle is shaded
area of shaded portion = 3/4 x 16pi = 12pi
Answer 12 pi
Answer:
b
Step-by-step explanation:
4 of the nonshaded areas =a
Help!! This is iready will get brainiest!! Please answer!!
Answer:
C the number of toothbrushes :)
Step-by-step explanation:
You can show how many were given away each month on a dot plot :)
The others would not make sense with the dot plot :)
Haeva great day!
Please rate and mark brainliest!
In the equation "y = mx + b" which of the following statements is true?
Group of answer choices
y is the output, x is the input, m is the slope and b is the y-intercept
x is the output, y is the input, m is the slope and b is the y-intercept
y is the output, x is the input, b is the slope and m is the y-intercept
y is the output, b is the input, x is the slope and m is the y-intercept
Answer:
Its the first one, y is always the output and y =mx+b, b is always the y-intercept and m is always the slope
Step-by-step explanation:
Answer:
A. y is the output, x is the input, m is the slope and b is the y-intercept
Step-by-step explanation:
In an equation y = mx + b, we know that:
x is the input
y is the output
m is the slope
b is the y-intercept
Looking for an answer that matches these criteria, we can say that the answer is A.
Which algebraic expressions are binomials? Check all that apply.
xyStartRoot 8 EndRoot
x2y – 3x
6y2 – y
y2 + StartRoot y EndRoot
4xy – two-fifths
x2 + StartFraction 3 Over x EndFraction
The algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5
What are polynomials?Polynomials are algebraic expressions having only addition, subtraction, multiplication and exponentiation (non-negative) of variables involved in it.
What are terms in polynomials?Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.
Example:
[tex]x^3 + 3x +5[/tex]
is a polynomial consisting 3 terms as
[tex]x^3[/tex], 3x and 5
If there is one term, the polynomial will be called monomial.If there are two terms, the polynomial will be called binomialIf there are three terms, the polynomial will be called trinomialChecking all the options:
Option 1: [tex]xy\sqrt{8}[/tex]It has only one term, so its not a binomial.
Option 2: [tex]x^2y - 3x[/tex]It has two terms, and there is only integer powers of variables and variables are in multiplication in forming terms, so its a polynomial. And because of two terms and being polynomial, it is binomial.
Option 3: [tex]y^2 + \sqrt{y}[/tex]Because of square root over variable 'y', the variable 'y' got non-integer power 1/2 as square root is also written as exponentiation by 1/2.
Thus, its not a polynomial.
Option 4: [tex]4xy - 2/5\\[/tex]Its a polynomial as there are constants only and variables with multiplication. And because of two terms and being polynomial, it is binomial.
Option 5: [tex]x^2 + \dfrac{3}{x}[/tex]we can write the second term as:
[tex]\dfrac{3}{x} = 3x^{-1}[/tex]
Thus, the variable x has negative power. Thus, its not a polynomial. Or simply, since the variable is in division in simplified form, therefore, its not a polynomial.
Thus, the algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5
Learn more about binomials here:
https://brainly.com/question/10451213
Can someone help me? Image is down below
Answer:
0.3 ft DISCLAIMER
Step-by-step explanation:
DISCLAIMER: I am not 100% sure if I am correct. I think I am but there is a chance I am not. I just thought ONE answer would be better than none. Feel free to disregard this if you don't want to try.
If you multiply the starting height (4.5 ft.) by .73 (73%) then you would get the second bounce. I just did that until I got to the 10th bounce and rounded it to the nearest tenth which ended up being 0.3
Solve using area model. 53x95
53x95 = 5035!
hopes this helps! ^^
Answer:
5605
Step-by-step explanation:
You work in the mayor’s office and you are providing the mayor with a list of talking points for a speech. In your town, 13
1
3
of the residents live in rented dwellings. Of those who live in rented dwellings, 12
1
2
are in families with school-age children. On your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school-age children?
Answer:12/13
Step-by-step explanation:12/13
Which system of equations
Answer:
The answer is J.
Step-by-step explanation:
Because y= 2x-3 as shown on the graph and on the chart it shows y=-x+3
Solve the system by substitution.
8x +y = 4
-23 – 8= y
Answer:
(2,-12)
Step-by-step explanation:
Correct equations:
8x+y=4
-2x-8=y
------------------
Rearrange the first equation:
8x+y=4
y=4-8x
Now use this value of y in the second equation:
-2x-8=y
-2x-8=4-8x
6x = 12
x = 2
When x = 2:
y=4-8x
y=4-8(2)
y = -12
(2,-12)
--
One can also graph the two equations and find the point they intersect. See the attached graph.
What is the distance between B and C? The Graph Below.
Answer:
250cm
Step-by-step explanation:
Answer:
433.01m.
Step-by-step explanation:
SOHCAHTOA
cos60= a/500
500cos60=a
433.01m
Find the 7th term of the geometric progession which begins 2, -6, 18
Answer:
The 7th term of this geometric progression is -486
A rectangle has an area of 73.5m2 one of the sides are 1.5m in length work out the perimeter of the rectangle
Answer:
101m
Step-by-step explanation:
area of a rectangle is given by length × width
73.5÷1.5 gives us the other side=49
49+1.5=50.5×2=101
Evaluate 2-(-4) + (-g) where y= 7.
Answer:
-1Step-by-step explanation:
2 - (-4) + (-y)
Substitute y = 7 to the expression:
2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1
what is the area of this figure?
Answer:
234 square millimeters
Step-by-step explanation:
You want the area of the irregular polygon shown.
CompositionThere are always several ways you can find the area of a figure like this. In the attachment we have shown extensions of the vertical and horizontal lines that will divide the figure into a triangle and two rectangles.
Triangle areaThe triangle has a base of 12 mm and a height of 13 mm. Its area is ...
A = 1/2bh
A = 1/2(12 mm)(13 mm) = 78 mm²
Rectangle areaThe upper rectangle has a width of 8 mm and a length of 14 mm. Its area is ...
A = LW
A = (14 mm)(8 mm) = 112 mm²
The lower rectangle has a width of 4 mm and a length of 11 mm. Its area is ...
A = (4 mm)(11 mm) = 44 mm²
Total areaThe area of the figure is the sum of the areas of its parts:
total area = triangle area + upper rectangle + lower rectangle
total area = 78 mm² + 112 mm² + 44 mm² = 234 mm²
The area of the figure is 234 square millimeters.
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The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 51 square inches. Estimate its radius to the nearest integer.
Answer:
23 square meter from Nthabiseng Selina Tsolo