Answer:
[tex]area=\frac{85}{4}feet^{2}[/tex]
Step-by-step explanation:
1. Approach
Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.
2. Solve for the width
It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.
[tex]perimeter=18\frac{1}{2}\\\\length=5[/tex]
[tex]2(length+width)=perimeter[/tex]
Substitute,
[tex]2(5+width)=18\frac{1}{2}[/tex]
Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.
[tex]2(5+width)=\frac{37}{2}[/tex]
Inverse operations,
[tex]2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}[/tex]
3. Solve for the area
Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).
[tex]length=5\\\\width = \frac{17}{4}[/tex]
[tex]length*width=area[/tex]
Substitute,
[tex]5*\frac{17}{4}\\\\=\frac{85}{4}[/tex]
[tex]area=\frac{85}{4}feet^{2}[/tex]
Show work and answer .............
Answer:
1. 5
2. 5
3. -3
4.y= -1
5. 5
Step-by-step explanation:
1.)x- 2y= -25 ; y=3x
x-2(3x)=(-25)
x-6x=(-25) ; -5x=(-25) ; x=5
2.) 5x+3y =40; x=y
8y=40; y=5
3.) 4x-3y= -27; x=3y
4(3y)-3y= -27; 12y-3y=-27; 9y=-27; y=-3
4.)x-y=9; x=-8y; -8y-y=9; -9y=9; y=-1
5.) 2x+2y=30; y=2x ; 2x+2(2x)=30; 6x=30; x=5
Please help i no not know
Step-by-step explanation:
total is 180* subtract 180by 149 u get x 180-149=31*
I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!
Answer:
The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!
Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.
Hope it was clear explanation.
Escribe el término "punto, línea, plano o superficie" según corresponda a la descripción a la que se hace referencia.
La pantalla de un cine.
Una cuerda tensa.
La punta de un lápiz
Una hoja de papel
La antena de un automóvil
La marca en la piel después de aplicar una vacuna
Un campo de fútbol
El doblez de un folder
La percepción de una estrella en el cielo
El cristal de una ventana
Punto:
La punta de un lápiz.Línea:
Una cuerda tensa.La antena de un automóvil.Plano:
La pantalla de un cine.Una hoja de papel.El cristal de una ventana.Superficie:
La marca en la piel después de aplicar una vacuna.Un campo de fútbol.El doblez de un folder.GeometríaEl punto es una entidad que tiene una posición, pero no tiene dimensiones (largo, ancho o alto). Por lo tanto, es de dimensión cero, es decir, adimensional. Contiene el significado de lugar, de existencia, pero no tiene elementos mensurables, es decir, no se puede medir.
En contextos geométricos, una línea es un cuerpo unidimensional de forma y longitud arbitrarias. Todos los objetos unidimensionales, como cuerdas, líneas rectas, mitades y perímetros, son líneas. Se cree que una línea se forma cuando un punto de dimensión cero se mueve en el espacio y forma una línea infinita de múltiples puntos.
Intuitivamente, el concepto de plano se puede describir como una superficie perfectamente recta (es decir, sin curvatura ni cavidad) y lisa, que tiene volumen cero y ocupa solo las dos dimensiones del espacio tridimensional.
La superficie de un objeto se refiere a una superficie bidimensional, que separa el objeto de otros objetos y del entorno. En topología, la superficie es una dimensión bidimensional.
Aprenda más sobre geometría en https://brainly.com/question/4637858
What is the domain and range of the relation?
Answer:
I think option c is answer
What is the midpoint of the segment with endpoints (-1,6) and (0,7)
Answer:
( -0.5 , 6.5 )
Step-by-step explanation:
The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the order is unimportant and the mega number need not be different from the other numbers). (11) What is the probability of all five numbers and the mega number matching the winning numbers
Answer:
1/41416353 probability of all five numbers and the mega number matching the winning numbers
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Probability of the five numbers matching:
Desired outcomes: 1 -> the matching numbers
Total outcomes: 5 from a set of 47. So
[tex]T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939[/tex]
Probability:
[tex]p_{S} = \frac{1}{1533939}[/tex]
Probability of the mega number matching:
1 from a set of 27. So
[tex]p_M = \frac{1}{27}[/tex]
Probability of both matching:
Independent events, so we multiply the probabilities:
[tex]p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}[/tex]
1/41416353 probability of all five numbers and the mega number matching the winning numbers
You sign up for 13 weeks of swim lessons. The total cost is $325. What is the cost per week? PLEASE ANSWER HERRRYYYY!!!!!
Answer:
you would divide
Step-by-step explanation:
325 ÷ 13= $25 a week
I hope this helped
Answer:
325 divided by 13 = 25
Step-by-step explanation:
What is 3/5 × 6/5? Move numbers to the boxes to show the answer. If there is no whole number, put in the first box
Answer:
18/25
Step-by-step explanation:
In Exercises 3 and 4, find the values of x and y
plz help!!!
Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
The value of length y is 30 and the value of angle x is 20 degrees and this can be determined by using the properties of an equilateral triangle.
Given :
The triangle ABC is given in the figure.
In an equilateral triangle, all angles are equal and therefore, each side is equal.
16 + y = 46
y = 46 - 16
y = 30
An angle in the triangle is given that is 80 degrees and angle C is 60 degrees because it is an angle of an equilateral triangle.
Applying sum of interior angles property:
80 + 60 + (60 - x) = 180
200 - x = 180
x = [tex]20^\circ[/tex]
For more information, refer to the link given below:
https://brainly.com/question/19237987
find a and round to the nearest tenth. please help it’s geometry (only answer if you know) :(
Answer:
54cm
Step-by-step explanation:
because a trangle is half of a square so you have to mutiple by 2 so 27 * 2 = 54 :)
You buy a cell phone plan that gives you up to 1000 minutes of calling for $20 per month. During a particular month, you use only 100 minutes. What is your per-minute cost for that
month?
Answer:
20 cents
Step-by-step explanation:
Which of the following best describes why the Hours of Service Regulations were put into place?
To minimize the number of vehicles on the road at night
To reduce the number of accidents caused by fatigue
To protect the rights of shippers
Answer:
To reduce the number of accidents caused by fatigue
Step-by-step explanation:
I don't know if its right
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?
Answer:
3
Step-by-step explanation:
What is 120% of 180?
Step-by-step explanation:
[tex] \tt{120 \: \% \: of \: 180}[/tex]
Convert % to fraction. For that , Divide 120 by 100 :
⇢ [tex] \tt{ \frac{120}{100} \times 180 }[/tex]
Calculate
⇢ [tex] \tt{216}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{216}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
What is 5x5 cause I don’t know what it is
Answer:
25
Step-by-step explanation:
5 + 5 + 5 + 5 + 5 = 25
Answer:
25
Step-by-step explanation:
that the answer pick me brainliest plz
Kate has some dimes and quarters. If she has 23 coins worth a total of $3.50, how many of each type of coin does she have?
23=d+q, d=23-q
350=10d+25q, using d from above
350=10(23-q)+25q
350=230-10q+25q
120=15q
q=120/15
q=8, and since d=23-q
d=23-8=15
So there are 15 dimes and 8 quarters
Find the slope of the line passing through each of the following pairs of points (0,7), (0,-8)
Answer:
Step-by-step explanation:
Answer:
The answer is unidentified
Step-by-step explanation:
I checked ;)
The statement "one-eighth the age, a" can be expressed algebraically as ?
Answer:
1/8a
Step-by-step explanation:
What is the mode of 3, 3, 4, 5, 10?
Answer:
3
Step-by-step explanation:
The mode is the number that occurs most frequently in a set of numbers
Also:
I saw that this is your first question. Welcome to the Brainly community.
The mode of the data set 3, 3, 4, 5, 10 is 3
What is mode?"It the value that appears most frequently in a data set.""A data set may have one mode, more than one mode, or no mode at all."For given question,
We have been given a set of data.
3, 3, 4, 5, 10
The frequency of each value in the data set is:
Value Frequency
3 2
4 1
5 1
10 1
We can observe that, 3 appears most frequently in a data set.
Therefore, the mode of the data set 3, 3, 4, 5, 10 is 3
Learn more about the mode of the data set here:
https://brainly.com/question/6813742
#SPJ2
Jesse bought 5.2 kilograms of grapes for AED 7.75. How much would 1 kilogram of grapes cos
Answer:
The cost of 1 kg is AED1.49
Step-by-step explanation:
Given
[tex]Cost = AED7.75[/tex]
[tex]Weight = 5.2kg[/tex]
Required
Determine the cost of 1 kg grape
To do this, we simply divide the cost of 5.2kg by 5.2kg.
i.e.
[tex]Unit\ Cost = \frac{AED7.75}{5.2kg}[/tex]
[tex]Unit\ Cost = AED1.49/kg[/tex] -- approximated
So, the cost of 1 kg is AED1.49
Solve the Antiderivative
Answer:
[tex] \sqrt{2} \sin \: x + c[/tex]
Step-by-step explanation:
[tex] \int \sqrt{1 + \cos(2x)} \: \: dx \\ \\ = \int \sqrt{1 + 2\cos ^{2}x - 1 } \: \: dx \\ \\ = \int \sqrt{ 2\cos ^{2}x } \: \: dx \\ \\ = \int \sqrt{ 2 }\cos x \: \: dx \\ \\ = \sqrt{ 2 }\int \cos x \: \: dx \\ \\ = \sqrt{2} \sin \: x + c[/tex]
Kaylee invested $830 in an account paying an interest rate of 6.6% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,260?
Answer:
t≈6
Plug values into A=P(1+r/n)^nt
Help ASAP I’ll mark brainliest
Answer:
a
Step-by-step explanation:
a is positive
b is idek just scattered
c is a scattered correlation aswell
d is a negative correlation
What ate all of the x-intercepts of the continuous function in the table?
Answer: (-4,0) and (4,0)
Step-by-step explanation:
Just look where the zeros are in the y (fx) column that corespont the the x.
What is the unit rate for this?
Time: 1, 2, 3, 4
Amount: 0.6, 1.2, 1.8, 2.4
Answer:
1:0.6
Step-by-step explanation:
9(2,-3)-5(+8)
FAST LOLOLOL
Answer:
9(2-3) -5(8)= -49
it must helps you...mark me as brainliest pls
how is 3×3×3×3×3×3×3 written in exponential form
Answer:
7
Step-by-step explanation:
3 * 3 * 3 * 3 * 3 * 3 * 3 = [tex]3^{7}[/tex]
Answer:
3×3×3×3×3×3×3 is
Step-by-step explanation:
3 multiplied by itself 7 times will give you 3 to the 7th power.
if log x (8x-3) - logx 4=2 the value of x is ___ and ____
the answer is not 1/2 and 3/2. I've already tried that and it is wrong.
Choose the graph that solves this system of equations.
y = 2x - 6
y = -4x + 3
The Option C is correct.
System of equations:
Given equations are,
[tex]y = 2x - 6\\\\y= -4x + 3[/tex]
When we draw the graph of both equation of line.
Then these lines intersect at a point [tex](1.5,-3)[/tex].
So that option C is correct.
The correct graph is attached below.
Learn more about the system of equations here:
https://brainly.com/question/13729904