================================
[tex] \large \sf \underline{Question:}[/tex]
The area of a rectangle is 48 cm². If its wdth is 6 cm, what is its length================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad \qquad \qquad \huge \bold{8cm}[/tex]
To solve for the area of rectangle, you use this formula A = length × width. But we're doing it reversal, we will divide the width to the area
[tex]\large\tt{A \: = \: l \: \times \: w}[/tex][tex]\large\tt{48cm^{2} \: = \: l \: \times \: 6cm}[/tex][tex]\large\tt{48cm^{2} \: \div \: 6cm \: = \: l}[/tex][tex]\large\tt{48cm^{2} \: \div \: 6cm \: = \: \pmb{8cm}}[/tex]Therefore, The length is 8cm.
================================
Hey ! there
Answer:
Length of rectangle is 8 cm .Step-by-step explanation:
In this question we are provided with a rectangle having area 48 cm² and width 6 cm . We are asked to find the length of rectangle .
We know that ,
[tex] \qquad \qquad\underline{\boxed{\frak{Area_{(Rectangle)} = l \times w}}}[/tex]
Where ,
l refers to Lengthw refers to WidthSOLUTION : -
We are finding value of length by substituting value of width as 6 cm and area as 48 cm² in the formula . So ,
[tex] \quad\longmapsto \qquad \:48 = 6 \times l[/tex]
or ,
[tex] \quad\longmapsto \qquad \:48 = 6l[/tex]
Dividing with 6 on both sides :
[tex] \quad\longmapsto \qquad \: \cancel{\dfrac{48}{6}} = \dfrac{ \cancel{6}l}{ \cancel{6}} [/tex]
We get ,
[tex] \quad\longmapsto \qquad \: \orange{\underline{\boxed{ \frak{l = 8 \: cm}}}} \quad \bigstar[/tex]
Henceforth , Length of rectangle having area 48 cm² and width 6 cm is ❝ 8 cm ❞Verifying : -
We are verifying our answer by substituting value of length and width in formula and equating it with given area . So ,
[tex] 8 \times 6 = 48[/tex][tex]48 = 48[/tex][tex] \rm{L.H.S = R.H.S}[/tex][tex] \rm{Hence , \: Verified .}[/tex]Therefore , our answer is correct .
#Keep LearningThe owner of a sports complex wants to carpet a hallway connecting two buildings. The carpet costs $2.50 per square foot. How much does it cost to carpet the hallway?
If the area of the carpet will be 301 square feet. Then the cost of the carpet will be $ 752.5.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
The owner of a sports complex wants to carpet a hallway connecting two buildings.
The diagram is given below.
The carpet costs $2.50 per square foot.
The area of the carpet will be given by the area of the trapezium.
Area = 1/2 (24 + 28) x 7 + 1/2 (15 + 19) x 7
Area = 0.5 x 52 x 7 + 0.5 x 34 x 7
Area = 182 + 119
Area = 301 square feet
Then the cost of the carpet will be
Cost of carpet = $ 2.5 x 301
Cost of carpet = $752.5
More about the trapezium link is given below.
https://brainly.com/question/22607187
#SPJ1
A trampoline park charges $2 plus an hourly rate for each hour. The sign to the
ght gives the prices for up to 3 hours of parking. Which linear equation
epresents the given information where C is the total cost and h is the number of
hours spent at the park?
The linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The fixed rate is the y-intercept, hence, the linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form
Answer: Step 3 is incorrect because it shows an incorrect ratio for the slope.
Answer:
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step-by-step explanation:
The correct question is:
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .
Step 4: Substitute those values into the point-slope form.
y – y1 = m(x – x1)
y – 3 = (x – 1)
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.
Step 2 is also correct.
Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.
Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2
Therefore the correct point-slope form is:
y – y1 = m(x – x1)
y – 3 = 2(x – 1)
Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.
i dont know how to do this one
Answer:
[tex]2\sqrt{34}[/tex]
Step-by-step explanation:
We can add a line to create a triangle and a rectangle. The triangle will have side lengths 10 and 6. Furthermore, it will be a right triangle, meaning we can apply the Pythagorean Theorem to find x, the hypotenuse.
[tex]6^2 + 10^2 = x^2\\x = \sqrt{6^2 + 10^2}\\ = \sqrt{136} \\= 2\sqrt34}[/tex]
hope this helped! :)
Mrs. Gurung is a bank Manager in a development bank. Her monthly is Rs 50,000.
ther annual income is equivalent to her 15 month's salary, find her income tax
in a year.
The income tax of Mrs Gerung based on the information given in a year will be Rs 142000.
How to calculate the tax?From the information given, the monthly income is s Rs 50,000 and the annual income is equivalent to her 15 month's salary,
The income tax will be:
= 50000 + (450000 × 1%) + (100000 × 10%) + (200000 × 20%) + (125000 × 30%)
= 50000 + 4500 + 10000 + 40000 + 37500
= 142000
Learn more about tax on:
brainly.com/question/25783927
#SPJ1
HELP!!!! NO ABSURD ANSWERS IF YOU DON'T WANT TO GET YOURSELVES REPORTED!! NEED HELP AS SOON AS POSSIBLE!!!!
What is the circumference of a circle with a radius of 3 and a diameter of 14?
PLSSSSS
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the circumference of a circle with a radius of 3 and a diameter of 14?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Formula for Circumference of a circle:-[tex]\bold{Circumference_{(circle)}=\pi d}[/tex]
First, we multiply the radius times 2 in order to get the diameter (the radius is exactly one-half of the diameter).
Now, we substitute 6 (3•2) for d:-
[tex]\sf{C=\pi *6}[/tex] [π=3.14]
[tex]\bigstar[/tex]On simplification,
[tex]\sf{C=3.14\times6}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\sf{C=18.84\:cm}[/tex]
[tex]\rule{200}{2}[/tex]
Now, let's find the circumference of a circle whose diameter is 14:
[tex]\sf{C=\pi d}[/tex]
Substitute 14 for d:-
[tex]\sf{C=14\pi }[/tex] Next, substitute 3.14 for pi:-
[tex]\sf{C=14\times3.14}[/tex]
[tex]\bigstar[/tex] Which results in:-
[tex]\sf{C=43.96\:units}[/tex]
Good luck with your studies.[tex]\rule{290}{2}[/tex]
How much water is in each basket?
Answer:
E
Step-by-step explanation:
1 2/3
Divide 5/3 and you get 1 2/3
Answer:
E) 1 2/3
Step-by-step explanation:
5 divided between 3 buckets in 5/3 which in a mixed number is 1 2/3
How much does Craig earn each month,in dollars?
Answer:
Craig must be rich LOL cuz It says its 1/20 of his paycheck each month so u have to multiply by 20
Step-by-step explanation:
720*20 = 14440
A Block of wood has a mass volume of 0.8g and volume of 16.0cm³. what is the density?
Answer:
[tex]0.05cm {}^{3} [/tex]
Step-by-step explanation:
[tex]density \: is \: the \: mass \: per \: unit \: volume \: of \: an \: object \: \\ density = \frac{m}{v} \\ density = \frac{0.8}{16} = 0.05cm {}^{3} [/tex]
pls help i’ll give 20 points and brainliest
Answer:
all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).
Step-by-step explanation:
use the formulae for each question.
Subtract 8 from me. Then add 9. If you add 12 and then
subtract 4, you get 18. What number am I?
Answer:
9
Step-by-step explanation:
x - 8 + 9 + 12 - 4 = 18
x = 9
What is the sum of the angles in the image? 154° 106° 144° 164°
Answer:
154
Step-by-step explanation:
130 + 24 = 154
The radius of circle a is 5 cm. the radius if circle b is 5 cm greater than the radius of circle a. the radius of circle c is 3 cm greater than the radius of circle b. the radius of circle d is 1 cm less than the radius of circle c. what is the area of each circle? how many times greater than the area of circle a is the area of circle d? the area of circle a is ___ cm2.
Answer:
Theres a lot going on in this question but i tried my best to answer it all, correctly. Sorry if something is wrong or i misread the question. check explanation for answer.
Step-by-step explanation:
I'm not sure to use pi or 3.14 so i just did both.
Circle A's radius = 5cm
Circle B's radius = 10cm
Circle C's radius = 13cm
Circle D's = 12cm
(circle A)
π = 3.14
A = πr²
A = 3.14(5²)
A = 3.14(25)
A = 78.5cm²
π = π
A = πr²
A = π(5²)
A = π(25)
A = 78.54cm²
(circle B)
π = 3.14
A = πr²
A = 3.14(10²)
A = 3.14(100)
A = 314cm²
π = π
A = πr²
A = π(10²)
A = π(100)
A = 314.16cm²
(circle C)
π = 3.14
A = πr²
A = 3.14(13²)
A = 3.14(169)
A = 530.7cm²
π = π
A = π(13²)
A = π(169)
A = 530.9cm²
(circle D)
π = 3.14
A = πr²
A = 3.14(12²)
A = 3.14(144)
A = 452.2cm²
π = π
A = πr²
A = π(12²)
A = π(144)
A = 452.4cm²
452.2 / 78.5 =5.8
circle d is 5( almost 6) times greater than circle A
х
The correct order for saving should be____
A. emergency fund, retirement, pay off credit debt
B. retirement, emergency fund, pay off credit debt
C. pay off credit debt, emergency fund, retirement
D. pay off credit debt, retirement, emergency fund
Answer:
Step-by-step explanation: C. pay off credit debt, emergency fund, retirement
10. Factor
Please help me I will mark as brainliest
Answer:
(3w + 7)² or (3w + 7)(3w + 7)
Step-by-step explanation:
Identity
a² + 2ab + b² = (a + b)² = (a + b)(a + b)Solving
9w² + 42w + 49(3w)² + 2(3w)(7) + (7)²(3w + 7)² or (3w + 7)(3w + 7)You asked students the survey question: How many hours did you do homework last week? The responses were 3, 10, 5, 7, 4, 8, 3, 5, 4, and 2 hours. Which statement best represents the data?
1. Most of the friends who responded did homework for 5 or fewer hours last week.
2. Most of the friends who responded did homework for more than 8 hours last week.
3. Most of the friends who responded did homework for 6 or more hours last week.
4. Exactly half of the friends who responded did homework for fewer than 6 hours last week.
Luna works at a party supply store. Today, she is filling balloons with helium for the store to sell. She accidentally overfilled the first few balloons and they popped! If t is the total number of balloons she filled, then t–3 is the number of balloons that can be sold. Luna filled 41 balloons today during her time at work.
How many of the balloons Luna filled today can be sold?
Answer:
x=36,y=108,z=72
Step-by-step explanation:
I've taken this test before
It's on the state mandated test as well so make sure to study quadratics
I need some help answering this
Answer:
d
Step-by-step explanation:
sin angle (60) would have been equal to 0.5 or a 1/2
and cos angle(60) would have been equal to 0.86 then you'll say square by 3 over 2
Let me know if this answer can work
Best of Luck
Which is the
slope-intercept form of the equation of the line with a slope
of -4 that passes through the point (-3, 1)?
Oy=-4x-11
Oy - 1 = -4(x + 3)
Oy+1 = 4(x-3)
y = 4x + 11
Answer:
y = -4x - 11
Step-by-step explanation:
This equation is in slope-intercept form.
y = mx + b
Slope-intercept form is a fill-in-the-blank shortcut to write an equation of a line. The m is the slope right beside the x (b is the y-intercept, but we don't even need that for this question) Only the first and last answers are in the correct format and only the first one has the right slope. You can also check it by putting (-3,1) into the equation. It checks! Graphing is a good check also.
I need help with this ASAP
Answer:
hope this will help you........
Two lines intersecting at a right angle
Oform a line.
Oare parallel.
Oare perpendicular.
Oform a ray.
Simplify $\frac{4}{\sqrt{3}}$
Select the correct answer from each drop-down menu.
complete the statements about this function
f(x)= -2\x+1| + 2.
the vertex of the function is la
on the interval (-1,0), the function is
as x approaches positive infinity, the function approaches
infinity
The vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity
How to interpret the function?The function is given as:
f(x)= -2|x+1| + 2
The above function is an absolute value function
An absolute value function is represented as:
y = a|x - h| + k
Where the vertex is:
Vertex = (h, k)
When a is less than 0, then the vertex is at maximum
By comparison, we have:
a = -2
(h,k) = (-1, 2)
-2 is less than 0
Hence, the vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity
Read more about absolute value functions at:
https://brainly.com/question/3381225
#SPJ1
A
31
-ft ladder leans against a building so that the angle between the ground and the ladder is
80
How high does the ladder reach on the building? Round answer to one decimal place
Check the picture below.
Make sure your calculator is in Degree mode.
Which quadratic model best represents the data? f(x) = –16x2 99x 6 f(x) = –36x2 37x 5 f(x) = 36x2 37x 5 f(x) = 16x2 99x 6
The quadratic model that represents the data will be A. -16x² - 99x + 6.
What is a quadratic model?It should be noted that a quadratic model simply means a model that is represented by a quadratic equation in the form of y = ax² + bx + c.
From the complete question, the quadratic model that represents the data will be -16x² - 99x + 6.
In conclusion, the correct option is A.
Learn more about quadratic model on:
https://brainly.com/question/1214333
#SPJ4
Answer:
Step-by-step explanation:
A store owner must decide whether to continue stocking a particular brand of jeans in the upcoming year. The graph shows the unit sales of this item in the years since the store started stocking it.
The data is best modeled by a
Square Root, Quadratic, Linear
Based on the graph, the store owner
should
Should Not
The data is best modeled by a Quadratic function, and based on the graph, the store owner should continue stocking the product.
How do we know that the graph models a quadratic function?Because it decreases in value until the minimum value, then it increases again.
After that, the graph will continue to increase, that is, it will have no more turning points as it is a quadratic function, hence the store owner should continue storing the product.
More can be learned about quadratic functions at https://brainly.com/question/24737967
#SPJ1
Robert climbed 125 steps in five minutes at this rate how many steps did he average per minute
The solution is 62. We have to multiply the mixed number by the whole number. 12 1/2 is 25/2 so we now multiply by flipping the 25/2 to 2/25 and when you multiply you get 1550/25, which is 62
Do these sides make a triangle ?
Yes or no
1) 7cm , 11cm , 14cm
2) 10cm , 8cm , 2cm
Answer:
yesnoStep-by-step explanation:
For three side lengths to form a triangle, the sum of the shorter two must exceed the longest.
__
1)7 + 11 = 18 > 14 . . . . Will make a triangle.
__
2)2 + 8 = 10 . . . not greater than 10. Will not make a triangle.
__
This is a direct consequence of the triangle inequality, which requires for sides a, b, c that ...
a +b > c and b +c > a and c +a > b
_____
Additional comment
There is a version of the triangle inequality that uses the ≥ comparison, rather than >. If that is the version of the inequality you are using, then both these sets of lengths will form a triangle. The second "triangle" will look like a line segment and have zero area.
If u have 0,-1,1.7, 1/2 do it from least to greatest
Answer:
-1,0,1/2,1.7
Step-by-step explanation:
Answer:
-1, 0, 1/2, 1.7
Step-by-step explanation:
hope this helps
have a good day
11. Graph the following equation and if possible, determine the slope.
y= -3
Please help I will mark you as brainiest
Answer:
A. m = 0
Step-by-step explanation:
The slope is 0 as the change in y-value is 0, and change in x-value is infinite.
Graph
