A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?
Answers
Answer:
B
Step-by-step explanation:
Firstly, we will take a look at the equation and the options listed to choose from.
Secondly, we notice these options are reffering to rational and irrational numbers.
A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.
As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.
.............................................................................................................
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)
B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.
According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.
By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.
[tex]A = (3)\cdot \sqrt{5}[/tex]
[tex]A = 3\sqrt{5}[/tex]
Hence, the right answer is B.
We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650
Related Questions
what is the median of the set of numbers?
Answers
Answer:
C. 11
Step-by-step explanation:
Please help me i have no clue what the answer is :?
Answers
Answer:
1. Yes
2. They could change the 60° angle into a different one.
Step-by-step explanation:
1. Two triangles are the same if they share two side lengths with the same angle between them.
2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.
Ana,beto y Carla son confeccionará de polos,por cada 12 polos que confecciona Ana,Beto confecciona 7,mientras que por cada 28 polos que confecciona Beto,Carla confecciona 15 si el fin de semana Carla confecciona 198 polos más que Carla,cuántos polos confecciono Beto ese día?
Answers
Resolviendo un sistema de ecuaciones veremos que polo hizo 170 polos.
¿Cuantos polos confecciono Beto ese día?Sabemos que por cada 12 polos que confecciona Ana, Beto hace 7.
Por cada 28 polos que confecciona Beto, Carla confecciona 15.
Y sabemos que Ana hizo 198 polos mas que Carla.
Definamos las variables:
C = polos que hizo Carla.
A = polos que hizo Ana
B = polos que hizo Beto.
Podemos escribir las ecuaciones:
A = C + 198
B = (7/19)*A
B = 28/(28 + 15)*C
Tenemos un sistema de ecuaciones, las segundas dos son las que obtenemos con los ratios que nos proporcionan.
Reemplazando la primer ecuacion en la segunda obtenemos el sistema:
B = (7/19)*(C + 198)
B = 28/(43)*C
De la segunda ecuacion podemos obtener:
C = B*(43/28)
Remplazando eso en la otra ecuacion obtenemos:
B = (7/19)*(B*(43/28)+ 198)
Ahora podemos encontrar el valor de B.
B = 0.57*B + 72.95
B - 0.57*B = 72.95
B*0.43 = 72.95
B = 72.95/0.43 = 169.6
Redondenado, B = 170, ese es el número de polos que Beto confecciono.
Aprende más sobre sistemas de ecuaciones:
https://brainly.com/question/13729904
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As the city planner of Right City, you are responsible to report information to help the Board of Supervisors make decisions about the budgets for the fire and police departments. The board has asked for a report with answers to the following questions. Each grid unit in the figure at right represents 1 mile. For fire safety, bushes will be cleared along the perimeter of the city. What is the length of the perimeter? Include all of your calculations in your report. Is there a way to determine if the triangle is a right triangle or not?
Answers
Answer: I took a screen shot hope it helps
Step-by-step explanation:
Square root 2x + 3 equals X
Answers
Digital Plus manufactures cameras. Last year, the company was able to produce 25,000 cameras each month.After introducing a new process for manufacturing this year, the company was able to produce 32,000 cameras each month. By what percent did production increase?
Answers
Answer:
28%Step-by-step explanation:
Increase of production:
32000 - 25000 = 7000Percent increase:
7000/25000 * 100% = 28%Total increase
32000-250007000Percentage
7000/25000(100)0.28(100)28%Six pounds of strawberries cost $11.94. Determine the unit rate and use it to find the price of eight pounds of strawberries.
Answers
Answer:
The unit rate is $1.99. The price of eight pounds of strawberry $15.92.
Step-by-step explanation:
To find the unit price, you divide $11.94 by 6 and you get $1.99. For eight pounds, multiply $1.99 with 8 and you get $15.92.
Answer:
$15.92
Step-by-step explanation:
First find the price of one pound. 11.94÷6=1.99 Once you find the price of 1 pound. You multiply the price of one pound 8 times. 1.99×8=15.92 Hope it helps!
Use the arc length formula and the given information to find r.
s = 16 cm, 0 = 48°; r = ?
Answers
Answer:
i converted θ to radians, then put that and the length of the arc into the formula shown.
76 is what percent of 475?
Answers
Answer:
361
475*76%=361
Hope this helped you out!!
Answer:
16
Percentage Calculator: 76 is what percent of 475? = 16.
Step-by-step explanation:
Answered by none other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!
Hope this helped!!
Which of the following exponential functions represents the graph below?
Answers
Answer:
d
Step-by-step explanation:
Solve for x
A) -12
B) 8
C) 5
D) 7
Answers
Answer:
B. 8
Step-by-step explanation:
9x + 1 = 8x + 9
x = 8
The height of a plant in centimeters is recorded each day for 10 days. The function y = 1.73x + 1.87 is determined to
be a good fit for the data. On day 6 the recorded height was 12.5 cm. How close is the predicted height to the actual
height of the plant (the residual)?
15 points
Answers
Answer: 0.25 cm
Step-by-step explanation: The function y = 1.73x + 1.87 is used as a prediction. Since the answer is asking for how close the predicted height to the actual height is on day 6, we substitute 6 for x.
The function becomes like this:
y = 1.73(6) + 1.87
y = 10.38 + 1.87
y = 12.25
y = 12.25 cm is the predicted height on day 6. The actual height on day 6 recorded is 12.5 cm. We subtract the predicted height from the actual height and get 0.25 cm.
y=6x^2-12x-1 minumim function value
Answers
Answer:
(−1,5)
Step-by-step explanation:
hope this helpes
Answer:
Step-by-step explanation:
Rotate the vector (3,-2) 90°
counter-clockwise about the
origin.
Answers
If the coordinate is (3, -2) then after the 90° counter-clockwise about the origin. Then new coordinate will be (2, 3).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Convert the cartesian coordinate to the polar coordinate. Then we have
[tex]r = \sqrt{3^2 + (-2)^2}\\\\r = \sqrt{9 + 4 }\\\\r = 3.61\\\\\theta = \tan ^{-1}\dfrac{-2}{3}\\\\\theta = -33.69^o\\\\\theta = 326.31^o[/tex]
Then 90° counter-clockwise about the origin, then the angle will be
θ = 326.31 + 90 = 431.31
But θ is from 0 to 360. Then
θ = 431.31 - 360 = 56.31
Then convert the polar coordinate to the cartesian coordinate. Then we have
x = r cosθ
x = 3.61 × cos 56.31
x = 2
and
y = r sinθ
y = 3.61 × sin 56.31
y = 3
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
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Answer:
-2,-3
Step-by-step explanation:
Please help me! I really don't understand this.
Answers
Answer:
B
Step-by-step explanation:
x is less than -1 and the point is on -1.
Drag each equation to the value that makes it true.
Answers
Answer:
5h=60 needs to go in the last one
Step-by-step explanation:
Find the 201st term of the arithmetic sequence with a4= -2 and as = 46
9648
2362
2398
2410
Answers
Answer:
2362 ...........................
HELP ME PLEASE ASAP
Answers
Answer:
33
Step-by-step explanation:
angles on a straight line sum up to 180°
104+x+x+10=180
114+2x=180
2x=180-114
2x=66
x=33
Answer:
C. 33
Step-by-step explanation:
So we have 180 degree line here, so lets take 104 and add the 10 from the expression inside the parenthesis on the other angle. We add 43 to 114 and get 147. We can then add 147+33 and get 180 which is equivalent to the angle.
I will mark branliest if correct
Answers
Answer:
I believe it would be 1
Step-by-step explanation:
Solve the following inequality.
5 + m > -2 OR 2m < -20
m >
[?] OR m <[ ]
Answers
Answer:
m >-7 or m < -10
Step-by-step explanation:
5+m >-2
subtract 5 from both sides
⇒5-5+m > -2-5
⇒m > -7
or..
2m <-20
divide both sides by 2
2m÷2 < -2÷2
⇒m= < -10
hope it helps
have a great day!! ^_^
A city mayor plans to build two new
parks. Each park will cover 1.45 acres.
How many acres will the new parks
cover altogether? Explain.
Most
represe
Answers
Answer: 2.90 acres.
Step-by-step explanation:
1.45x2 or 1.45 + 1.45
African elephants can eat up to 500 pounds of vegetation in one day. How many pounds of vegetation could an elephant eat in a week?
pls answer its due to tomorrow ;-;
Answers
Answer:
they would eat 3500 pounds of food in 1 week
Step-by-step explanation:
its simple math just multiply 500 by 7 and you would get 3500
HELP!!!
What is the volume of the square pyramid, in cubic inches?
Answers
Answer:648
Step-by-step explanation:
V=a2h
3=92·24
3=648
Answer:
648 in.^3
Step-by-step explanation:
V = (1/3)Bh
V = (1/3)(9 in.)^2(24 in.)
V = 648 in.^3
A spinner with sections labeled 1-8 has an equal chance of landing on each numbe. Find each probability.
P(even number)
Answers
2,4,6,8 are even. There are 4 numbers
In total there are 8 numbers. 4/8 and simplified to 1/2
Riley purchased a 30-day International cell phone plan for use during winter break. There is a one-time fee of $35 and it includes 150 MB of data usage. Each extra megabyte,
or part thereof, of data costs $0.28. Find the cost of the plan if he uses 388 MB of data during the trip.
Answers
Answer:
the cost of the plan in the case when 388MB is used is $101.64
Step-by-step explanation:
The computation of the cost of the plan in the case when 388MB is used
Given that
One time fee is $35
And, it involves 150 MB of data usage
Also for the extra megabyte it charges $0.28
So for 388MB, the cost of the plan is
= $35 + 0.28 × (388 MB - 150 MB)
= $35 + $66.64
= $101.64
Hence, the cost of the plan in the case when 388MB is used is $101.64
Help pls............. Will choose brainliest
Answers
Answer:Its D enjoy =)
HELP PLEASE!!! Find an equation of a line through (√3,12) parallel to the line:
a) x= -9
and the line
b) y= -√7
Answers
Answer:
just put like what oh yea put 72
Using the graph, determine the coordinates of the vertex of the parabola.
Answers
Answer:
vertex is 1, -6
Step-by-step explanation:
From the figure which is greater between a and Q
Answers
Answer:
a
Step-by-step explanation:
the horizontal distance is shorter so the angle will be greater.
added:
tan a = AD/2a
tan Q - AD/3a
Just looking at the fractions AD/2a and AD/3a, the denominator of AD/2a is smaller so the resulting calculation will be greater, hence a is the larger angle.
Find the circumference of the circle. Round to the nearest hundredth.
