Line VW is to be drawn on the graph such that it is perpendicular to line . If the coordinates of point W are (–1, y), what is the value of y?
Y=
Answers
Since the lines are to be perpendicular, that means that their slopes must be negative reciprocals of each other.
First we find the slope of line ST. The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting our coordinates (using point T as point 2 and point S as point 1), we have:
[tex]m=\frac{2-0}{5--5}=\frac{2-0}{5+5}=\frac{2}{10}=\frac{1}{5}[/tex]
Since the slope of line VW must be the negative reciprocal of 1/5, it would be -5/1=-5.
The coordinates of V are (-2, 0). Using V as point 1 and W as point 2, in our slope formula for this line we have:
[tex]-5=\frac{-2-y}{0--1}=\frac{-2-y}{0+1}=\frac{-2-y}{1}=-2-y \\ \\-5=-2-y[/tex]
Add 2 to both sides:
-5+2=-2-y+2
-3=-y
Divide both sides by -1:
-3/-1=-y/-1
3=y
The value of y is 3
Further explanationSolving linear equation mean calculating the unknown variable from the equation.
Let the linear equation : y = mx + c
If we draw the above equation on Cartesian Coordinates , it will be a straight line with :
m → gradient of the line
( 0 , c ) → y - intercept
Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :
[tex]\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}} }[/tex]
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
[tex]\large {\boxed {y - y_1 = m ( x - x_1 )} }[/tex]
Let us tackle the problem.
Firstly , we will calculate the gradient of the line that passes through the point S( -5 , 0 ) and T( 5 , 2 ) .
[tex]m_{ST} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m_{ST} = \frac{2 - 0}{5 - (-5)}[/tex]
[tex]m_{ST} = \frac{2}{10}[/tex]
[tex]\large {\boxed {m_{ST} = \frac{1}{5} } }[/tex]
Next , we will calculate the gradient of the line that passes through the point V( 0 , -2 ) and W( -1 , y ) .
[tex]m_{VW} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m_{VW} = \frac{y - (-2)}{-1 - 0}[/tex]
[tex]\large {\boxed {m_{VW} = \frac{y + 2}{-1} } }[/tex]
The conditions of the line perpendicular to each other will satisfy the following formula.
[tex]m_{ST} \times m_{VW} = -1[/tex]
[tex]\frac{1}{5} \times \frac{y + 2}{-1} = -1[/tex]
[tex]\frac{y + 2}{-5} = -1[/tex]
[tex]y + 2 = -5 \times -1[/tex]
[tex]y + 2 = 5[/tex]
[tex]y = 5 - 2[/tex]
[tex]\large {\boxed {y = 3} }[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point
Related Questions
How do you solve this?
Answers
You know a > 0, so the parabola will open up.
If the parabola opens up, the vertex is a minimum.
Use the formula for the axis of symmetry.
.. x = -b/(2a) = -5/(2*2) = -5/4
.. f(-5/4) = 2(-5/4)^2 +5(-5/4) +3 = -1/8
The vertex is (-5/4, -1/8).
Use the formula for the discriminant.
.. b^2 -4ac = 5^2 -4*2*3 = 25 -24 = 1
This is positive and a perfect square, so there are 2 real roots. They are (1) rational and unequal.
Use the quadratic formula to tell you the roots.
.. x = -b/(2a) ±(√discriminant)/(2a)
.. = -5/4 ±√1/(2*2)
.. = -5/4 ±1/4
.. = {-3/2, -1}
Given: Quadrilateral ABCD is inscribed in circle O.
Prove: m∠A + m∠C = 180°
Drag an expression or phrase to each box to complete the proof.
Statements → Reasons
1. ___________ → Given
2. mBCD = 2(m∠A) → ________
3. mDAB = 2(m∠C) → Inscribed Angle Theorem
4. _________ → The sum of arcs that make a circle is 360°.
5. 2(m∠A) + 2(m∠C) = 360° → _________
6. m∠A + m∠C = 180° → Division Property of Equality
Answer Choices:
Substitution Property
Inscribed Angle Theorem
Central Angle Theorem
mBCD + mDAB = 360°
mBCD = mDAB
Quadrilateral ABCD is inscribed in circle O.
I'm guessing:
1. Quadrilateral ABCD is inscribed in circle O.
4. mBCD + mDAB = 360°
5. Inscribed Angle Theorem
I'm not sure about 5 or 2.
Thanks.
Answers
A quadrilateral is a four sided figure, in this case ABCD is a cyclic quadrilateral such that all its vertices touches the circumference of the circle.
A cyclic quadrilateral is a four sided figure with all its vertices touching the circumference of a circle.
2. mBCD = 2 (m∠A) = Inscribed Angle Theorem
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords.
Such that Inscribed angle = 1/2 Intercepted Arc
In this case the inscribed angle is m∠A and the intercepted arc is MBCD
Therefore; m∠A = 1/2 mBCD
4. The sum of arcs that make up a circle is 360
Therefore; mBCD + mDAB = 360°
The circles is made up of arc BCD and arc DAB, therefore the sum angle of the arcs is equivalent to 360°
5. 2(m∠A + 2(m∠C) = 360; this is substitution property
From step 4 we stated that mBCD +mDAB = 360
but from the inscribed angle theorem;
mBCD= 2 (m∠A) and mDAB = 2(m∠C)
Therefore; substituting in the equation in step 4 we get;
2(m∠A) + 2(m∠C) = 360
Answer:
I took the test :) have a great day!
Step-by-step explanation:
A) 90°
B) 180°
C). 6°
D). 86°
Answers
68°+26°+x°=180°
Solve it as an equation:
68+26+x=180
x=180-68-26
x=86°
You are working at the register at a grocery store during the busiest time of the day. A customer buys a mud of cheese for 4.62 and a box of crackers for 1.29. She hands you $6.00, and the register says she still owes $0.54. Since you were in a hurry, you made a mistake by typing the numbers in the wrong order. What mistake did you make?
Answers
4.62+1.92=6.54
she gave you 6 and looks like she still own 0.54 cents
How many positive integers less than 1000 are divisible by exactly one of 7 and 11?
Answers
= 220
hope i helped :)
Describe how to transform -------- into an expression with a rational exponent.
(a index of 3, square root of x^4) raised to the 5th power
Answers
Solution:
Simplify. ( cube root of x to the power of 4 )from the given :(a index of 3, square root of x^4) raised to the 5th power.
=x to the power of 4/3
multiply it by five will give you the answer of x to the power of 20/3
Which is a true statement about any two congruent chords in a circle? A.They are parallel. B.They are perpendicular. C.They form an angle. D.They are equidistant from the center of the circle.
Answers
They are equidistant from the center of the circle because two congruent chords have the same length, angles, and radii meaning the answer would be D.
Please vote Brainliest, thanks.
The statement (D) "They are equidistant from the center of the circle" is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a statement:
Which is a true statement about any two congruent chords in a circle?
As we know, due to the similar length, angles, and radii of two congruent chords, they are equally spaced from the circle's center.
Thus, the statement (D) "They are equidistant from the center of the circle" is correct.
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HEY THERE
please help me in math>>>
Answers
In a candy factory, the nutty chocolate bars contain 19.0 % pecans by mass. if 5.0 kg of pecans were used for candy last tuesday, how many pounds of nutty chocolate bars were made?
Answers
26.32 pounds of nutty chocolate were made.
Using the parameters given;
percentage of pecans per chocolate = 19%Mass of pecans used = 5kgThe amount of pounds of chocolate made ;
Mass of pecans used / Percentage of pecans 0er chocolateNow we have ;
5/0.19 = 26.315Hence, 26.32 pounds of nutty chocolate were made.
A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be, to the nearest cent, after 11 years?
Answers
Answer:
6670.65
Step-by-step explanation:
After 11 years, the value of the car will be $1,913.50.
Explanation:To find the value of the car after 11 years, we need to calculate the depreciation of the car each year.
The value of the car depreciates at a rate of 9.5% per year, meaning that each year the value of the car will decrease by 9.5% of its current value.
Let's calculate the value of the car after 11 years:
Step 1: Find the depreciation of the car each year.
Depreciation = 9.5% of $20,300 = $1,928.50
Step 2: Calculate the value of the car after 11 years.
Value after 11 years = $20,300 - (11 * $1,928.50)
Value after 11 years = $20,300 - $21,213.50
Value after 11 years = $1,913.50
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PLEASE MATH HELP WILL GIVEBRAINLIEST AND 20 POINTS!!!
1.What is the area of a regular hexagon with a side length of 12 cm?
Enter your answer in the box.
Round only your final answer to the nearest hundredth.
2.In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
3.
What is the exact value of sin 30° ?
Enter your answer, as a simplified fraction, in the box.
Answers
By definition, the area of a regular hexagon, depending on its sides, is given by:
[tex]A = \frac{3 \sqrt{3}L^2}{2} [/tex]
Where,
L: side of the regular hexagon.
Substituting values we have:
[tex]A = \frac{3 \sqrt{3}12^2}{2} [/tex]
[tex]A = 374.1229744 [/tex]
Rounding to the nearest hundredth we have:
[tex]A = 374.12 cm ^ 2 [/tex] Answer:
The area of a regular hexagon with a side length of 12 cm is:
[tex]A = 374.12 cm ^ 2 [/tex]
Question 2:
By definition, sides of a triangle 30-60-90 are given by:
Largest side:[tex] \sqrt{3}x[/tex]
Smallest side: x
hypotenuse: 2x
Therefore, since the smallest side length measures 5 cm, then the hypotenuse is:
[tex]2x = 2 * 5 = 10 cm [/tex]
Answer:
the length of the hypotenuse when the shorter leg is 5 cm is:
10 cm
Question 3:
The first thing you should know for this case, is that angle 30, is a notable angle.
Therefore, the values of the sine are defined for notables angles.
The notable angles are:
0, 30, 45, 60, 90
Therefore, the value of sine (30) is given by:
sine (30) = 1/2
Answer:
the exact value of sin 30 ° is:
sine (30) = 1/2
Edna says that when (x - 2)2 = 9, that x - 2 = 3. Use complete sentences to explain whether Edna is correct. Use specific details in your explanation.
Answers
Answer:x=5,-1
Step-by-step explanation:
Edna says that when \left ( x-2\right )^2=9[/tex]
then x-2=3
such that x=5
but this is not true as when we put the value of x in equation then it will not satisfy the equation.
It can be solved by taking the terms either on LHS or RHS
[tex]\left ( x-2\right )^2-9=0[/tex]
[tex]x-2=\pm 3[/tex]
x=5
x=-1
Which of the following fractions is in simplest form?
9/16
8/14
6/20
15/35
Answers
thats the correct answer bro
The correct fraction in simplest form is 9/16. Hence option 1 is true.
Used the concept of the fraction that states,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.
Ask about the simplest form of a fraction.
When a fraction is in the simplest form then the GCD of numerators and denominators would be 1.
From (i);
9/16
Clearly, GCD (9, 16) = 1
Hence this shows the simplest form of a fraction.
Therefore, option 1 is true.
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Will mark brainliest and give 20 points! In what ways can vertical, horizontal, and oblique asymptotes be identified? Please use your own example to identify.
Answers
When you have a rational expression in which the denominator is zero, you have a vertical asymptote. So to find vertical asymptotes, just set the denominator of your rational expression equal to zero, and then, solve for [tex]x[/tex]:
[tex] \frac{x-1}{x-3} [/tex]
Set the denominator equal to zero:
[tex]x-3=0[/tex]
Solve for [tex]x[/tex]:
[tex]x=3[/tex] is the vertical asymptote of our rational expression.
Horizontal asymptote:
Here we have two scenarios.
1) Is the degree of the denominator is higher than the degree of the numerator, you will have a horizontal asymptote at [tex]y=0[/tex]:
[tex]y= \frac{x-1}{x^{2}+3} [/tex]
Since the degree of the denominator is higher of the degree of the numerator, our rational expression will have an asymptote at [tex]y=0[/tex]
2) If the degree of both denominator and numerator is the same, the rational expression will have an horizontal asymptote at the ratio of the leading coefficients:
[tex] \frac{3x^{2}+5}{2x^2-3x+1} [/tex]
Leading coefficients: 3 and 2
Ratio of leading coefficients:
[tex] \frac{3}{2} [/tex]. Our rational expression will have an horizontal asymptote at [tex]y= \frac{3}{2} [/tex]
Oblique asymptote:
If the degree of the numerator is higher than the degree of the numerator, you will have an oblique asymptote. To find it, we are going to perform long division; the quotient (without the remainder) will be the equation of the oblique asymptote line:
[tex] \frac{x^2+5x+2}{x+1} [/tex]
The quotient of the long division is [tex]x-1[/tex] with a remainder of 2; therefore, the equation of the oblique asymptote line will be:
[tex]y=x+4[/tex]
Using the image, explain which angles are angles of elevation and which are angles of depression. Name all the angles that apply.
Answers
Angles 1 and 3 are angles of depression.
Angles of elevation are measured above the horizontal.
Angles 2 and 4 are angles of elevation.
Depression - 2, 4
The difference of two numbers is 3 and their quotinet is 2 what are the 2 numbers
Answers
PLEASE HELP ASAP!! BRAINLIEST TO RIGHT/BEST ANSWER
Answers
Answer is B
Medal
The table below shows the distance y, in miles, traveled by a toy car in x minutes:
Time (x)
(minutes)
10 20 30 40
Distance (y)
(miles)
4 8 12 15
Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car.
[Choose the value of correlation coefficient from 1, 0.99, 0.5, 0.02]
Part B: What is the value of the slope of the graph of distance versus time between 10 minutes and 30 minutes, and what does the slope represent?
Answers
Name the type of symmetry for the figure.
reflectional
rotational
rotational and reflectional
no symmetry
DOES ANYONE HAVE THE WHOLE QUIZ????
Answers
Answer:
Rotational
Step-by-step explanation:
Reflectional symmetry is when a figure can be folded in half through some given line and half each half congruent to the other. There is no line through which to fold this figure, so there is no reflectional symmetry.
Rotational symmetry is when a figure can be turned some degree and be congruent to itself; This figure can be rotated 180°, so this has rotational symmetry.
Without the figure, it's impossible to determine the type of symmetry it has. Symmetry in mathematics can be reflectional, rotational, both, or none at all depending on the characteristics of the given figure.
Explanation:To answer your question, we need the figure in order to determine the type of symmetry. In mathematics, symmetry can be classified as reflectional, rotational, both reflectional and rotational, or it can have no symmetry at all. Reflectional symmetry is when one half is the mirror image of the other half. Rotational symmetry is when the figure can be rotated to some degrees and still appears the same. The term doesn't have a specific figure attached, so without more information, a direct answer cannot be given.
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How to solve: \frac{1}{y^{\frac{2}{5}}} ?
Answers
[tex]\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------[/tex]
[tex]\bf \cfrac{1}{y^{\frac{2}{5}}}\implies \cfrac{1}{\sqrt[5]{y^2}} \quad \stackrel{rationalizing~it}{\implies }\quad \cfrac{1}{\sqrt[5]{y^2}}\cdot \cfrac{\sqrt[5]{y^3}}{\sqrt[5]{y^3}}\implies \cfrac{\sqrt[5]{y^3}}{\sqrt[5]{y^2}\cdot \sqrt[5]{y^3}} \\\\\\ \cfrac{\sqrt[5]{y^3}}{\sqrt[5]{y^2y^3}}\implies \cfrac{\sqrt[5]{y^3}}{\sqrt[5]{y^{2+3}}}\implies \cfrac{\sqrt[5]{y^3}}{\sqrt[5]{y^5}}\implies \cfrac{\sqrt[5]{y^3}}{y}[/tex]
Maria has three children. there is two years age difference between each child. the total ages of all three children is 36 years. tina is the youngest child. how old is tina? let t = the age of tina. which formula will calculate tina's age?
Answers
t+2= second child
t+4= third child
36= age of all children
Add the ages of all children equal to 36 years. Add 2 to each age because there is 2 years age difference between each child.
t + (t+2) + (t+4)= 36
combine like terms
3t + 6= 36
subtract 6 from both sides
3t= 30
divide both sides by 3
t= 10 Tina's age
t+2= 12
(10)+2= 12 age of second child
t+4= 14
(10)+4= 14 age of third child
ANSWER: The formula that will calculate Tina's age is t + (t+2) + (t+4)= 36.
Hope this helps! :)
t= Tina's age
t+2= second child
t+4= third child
36= age of all children
Add the ages of all children equal to 36 years. Add 2 to each age because there is 2 years age difference between each child.
t + (t+2) + (t+4)= 36
combine like terms
3t + 6= 36
subtract 6 from both sides
3t= 30
divide both sides by 3
t= 10 Tina's age
t+2= 12
(10)+2= 12 age of second child
t+4= 14
(10)+4= 14 age of third child
ANSWER: The formula that will calculate Tina's age is t + (t+2) + (t+4)= 36.
Hope this helps! :)
p[x]=5b exponent x what do the a and b in exponential function represent
Answers
You have a = 5, the initial value, the value of P(0).
"b" represents the growth factor, the multiplier corresponding to each unit of x.
What transformations change the graph of f(x) to the graph of g(x)? f(x)=x^2 g(x)=(x+3)^2-7
The graph of g is the graph of f translated to the right 3 units and up 7 units
The graph of g is the graph of f translated to the left 3 units and down 7 units
The graph of g is the graph of f translated up 3 units and to the left 7 units
The graph of g is the graph of f translated down 3 units and to the right 7 units
Answers
Answer:
The graph of g is the graph of f translated to the left 3 units and down 7 units
Step-by-step explanation:
As you can see, the F(X) graph has its origin on (0,0) since when X is equal to 0, Y will be equal as 0 as well, so having both quadratic graphs, we just have to see how the graph is translated, in this case you just have to make x=0, when X is equal to 0 on g(x) Y=-7, so the graph will be translated 7 units down, the only option you have that has the graph tranlated 7 units down is option 2:"The graph of g is the graph of f translated to the left 3 units and down 7 units"
And that is your correct answer.
1. which function is shown on the graph?
f(x)=1/2cosx
f(x)=−1/2sinx
f(x)=−1/2cosx
f(x)=1/2sinx
2. (picture)
3.(picture)
4.(which equation represents the function on the graph?
5. what is the period of the funtion f(x)=cos2x?
Answers
Answer: choice C) f(x) = (-1/2)cos(x)
We can rule out anything with sine in it since the graph does not go through the origin. We can rule out choice A as well since plugging x = 0 into f(x) leads to a positive result, when instead we want a negative value. So the only thing left is choice C
======================================================
Problem 2
See the attached image
Point A is approximately (1.57, 0) which is exactly (pi/2, 0)
Point B is approximately (3.14, -2) which is exactly (pi, -2)
======================================================
Problem 3
Answer: 1/pi
Period = pi since the graph repeats itself every pi units
Frequency = 1/Period
Frequency = 1/pi
======================================================
Problem 4
Answer: Choice A) f(x) = cos(2x)
This is a cosine function as it doesn't go through the origin. The period is T = pi, so b = 2pi/T = 2pi/pi = 2 is the coefficient of the inner x term. Therefore the function is f(x) = cos(2x)
======================================================
1. Use the above figure to answer the following questions.
a. What is the intersection of plane P and plane R?
b. Name three points that are collinear
c. Name plane R in two more ways
d. Name four coplanar points
e. Name a point that lies on both plane P and plane R
Answers
Planes are when 3 points that are not on the same line can be used to describe a plane. Plane P is horizontal and Plane R is vertical and these 2 planes intersect at line AB. Intersecting is where these 2 planes meet, therefore line AB is common to both planes.
b. 3 points that are collinear are A, D and B. As the word collinear implies, this is when three points or more are all aligned in a single straight line.
c. Planes can be named indicating three points that are on the same plane yet not on the same line. In other words these points are not collinear. Plane R can be written as DBG or FAD.
d.Coplanar points are three or more points that lie on the same plane. planes are usually flat surfaces, therefore any three or more points lying on this flat surface be used as coplanar points. 4 coplanar points are ACDE, these lie on plane P.
e. A point that lies on both plane P and plane R is point D, as its on the line of intersection, hence its common to both planes.
10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE. DO BOTH PARTS OF 3 AND ALL OF 4.
Answers
3a) (d/dx)(ln(x)/(ln(x)/ln(10)) = (d/dx)(ln(10)) = 0
3b) (d/dx)(ln(log(x)) = (d/dx)(ln(ln(x)/ln(10))) = (d/dx)(ln(ln(x)) -ln(1/ln(10)))
.. = (d/dx)(ln(ln(x))) . . . . . . . . simplified form
.. = (1/ln(x))*(d/dx)(ln(x))
.. = 1/(x*ln(x))
4. y' = 1/x
.. y'' = -1/x^2
.. y''' = 2/x^3
.. yⁿ = -(n-1)!*(-1/x)ⁿ
Eighty percent of a roof, or 2800 square feet of the roof, has been re-shingled. What is the total area of the roof? a. 22,400 sq ft b. 2240 sq ft c. 3500 sq ft d. 35000 sq ft
Answers
Given that "80% of the roof" is same as "2800 square feet of the roof".
Let's consider total area of roof = X square feet.
Then "80 percent of X" = "2800 square feet".
[tex] 80\% \;of X = 2800 \;square \;feet \\\\\frac{80}{100} *X = 2800 \;square \;feet \\\\\frac{4}{5} *X = 2800 \;square \;feet \\\\X = \frac{5}{4}* 2800 \;square \;feet \\\\X = \frac{14000}{4} \;square \;feet \\\\X = 3500 \;square \;feet \\\\ [/tex]
So total area of the roof would be 3500 square feet.
Hence, option C is correct i.e. 3500 square feet.
A convex, 11 sided polygon can have at most how many obtuse interior angles?
Answers
Answer:
11
Step-by-step explanation:
Sam is walking to Joe’s house at a rate of 2 miles per hour. Joe left his house at the same time and is walking at a rate of 1.5 miles per hour. If Sam and Joe live 7 miles apart, how long will it take for Sam and Joe to meet?
Answers
The time it takes for Sam and Joe to meet in hours= t
Joe's speed = 1.5miles/hour
Sam's speed = 2 miles/hour
Distance between Joe and Sam = 7 miles
When they meet Joe covers a distance of J miles and Sam covers S miles
Now,
J+S=7
J=1.5 miles/hour *t
S= 2 miles/hour * t
1.5t + 2t =7
3.5 t = 7
t=2 hours
It will take 2 hours for Sam and Joe to meet
A four sided sandbox has exactly two right angles side lengths 5ft and two side lengths 6ft what shape best describes the shape of the sandbox
Answers
A kite, however, has two pairs of equal-length sides that are adjacent to each other. It also has two sets of equal-measure angles, one of which can be 90° if it is a cyclic kite.
The sandbox has two right angles and two side lengths of 5ft and two side lengths of 6ft. This shape is consistent with a rectangle. Therefore, the shape of the sandbox is best described as a rectangle.
The sandbox described possesses two right angles and two pairs of opposite sides with equal lengths. Specifically, it has two sides of 5ft and two sides of 6ft. These characteristics are indicative of a rectangle.
Rectangles are quadrilaterals with four right angles, meaning each corner of the shape forms a 90-degree angle. Additionally, opposite sides of a rectangle are equal in length, which is evident in this sandbox with its 5ft and 6ft sides. The presence of two right angles further reinforces the shape's rectilinear nature.
Moreover, rectangles have parallel opposite sides, which allows for uniformity in the sandbox's shape. This geometric feature is crucial for ensuring a consistent and stable structure.
By definition, squares are also rectangles, but not all rectangles are squares. Given that the sides of the sandbox are not all of equal length (i.e., not a square), it is more appropriate to classify it as a rectangle.
Therefore, considering the sandbox's right angles, equal opposite sides, and parallel sides, it aligns most closely with the characteristics of a rectangle.